Comprehensive Bridge Health Evaluation Method Based on Information Fusion
|
|
- Allyson Adams
- 5 years ago
- Views:
Transcription
1 MATEC Web of Cofereces 82, (2016) DOI: / mateccof/ Comprehesive Bridge Health Evaluatio Method Based o Iformatio Fusio Li-pig Li 1,a, We-xia Dig 2 ad Xiao-li Lu 3 1 Faculty of Egieerig, Chia Uiversity of Geosciece, Wuha, Chia 2 Hubei Commuicatios Techical College, Wuha, Chia 3 Wuha Uiversity of Egieerig Sciece, Wuha, Chia Abstract. I the bridge maiteace maagemet decisio, the health evaluatio o bridge structure is far more tha determiatio of abormal idex exceed fixed threshold, or evaluatio o damage status ad carryig capacity, the o-site huma ispectio should also be paid attetio. I order to achieve more accurate ad reliable health status evaluatio result, it eeds to take full advatage of various iformatio ad parameter. The D-S evidece iformatio fusio was used i the paper to preset comprehesive bridge health evaluatio method. It fuses bridge operatio status usig abormal status idetificatio, bridge durability with residual life estimatio, as well as huma ispectio ratig, to arrive at health evaluatio. The actual applicatio examples to verify the method is also provided. 1 Itroductio The safety evaluatio i bridge structural health moitorig is always oe of the research focuses. Due to professioal differece, the work of two mai parts as iformatio acquisitio ad safety assessmet i structural health moitorig is completed by persoel of iformatio sciece ad mechaics sciece respectively. As a result, the existig structural safety assessmet theory is limited to the mechaics field. Most methods deped o accurate structural model ad kow excitatio system heavily. The safety assessmet is achieved with reductio degree of structural stiffess [1, 2]. The health safety assessmet of bridge always regards structural damage idetificatio as premise, amely firstly determie existece of damage ad locate it, the evaluate safety status of structure with stiffess reductio. I the existig bridge structure safety assessmet methods, most deped o sigle parameter as the evaluatig idex, such as bridge damage or durability. As to complexity of bridge structure ad eviromet, as well as radomess of measuremet result, the evaluatio evidece is always iadequate. It is impossible to accurately describe overall status of bridge structure, or eve arrive at wrog evaluatio result, so it has ot high cofidece for evaluatig with sigle parameter [3, 4]. Some researchers proposed multi-parameter evaluatio method ad achieved satisfactory effect. Therefore, it is a valuable focus to perform overall evaluatio o bridge status i accordace with acquired data from sesors as well as various parameter usig iformatio fusio method [5]. a Correspodig author: llpok795@163.com. The Authors, published by EDP Scieces. This is a ope access article distributed uder the terms of the Creative Commos Attributio Licese 4.0 (
2 MATEC Web of Cofereces 82, (2016) DOI: / mateccof/ The paper combies various parameter of bridge health status with iformatio fusio method to arrive at overall assessmet o bridge. The rest of the paper is orgaized as follows: Sectio 2 itroduces D-S evidece theory of iformatio fusio; Sectio 3 gives comprehesive health evaluatio method based o multiple iformatio fusio; Sectio 4 ad 5 preset the computatio example ad the coclusio. 2 D-S Evidece Theory Suppose as idetificatio framework. If the set fuctio m :2 [0,1] meet m( ) 0 ad ) 1, m is called the basic cofidece distributio o framework. As to A, m(a) is A the basic cofidece distributio value. I order to obtai total cofidece of A, it eeds to add the basic cofidece distributio value of all subsets B i A, ad the represet it with cofidece fuctio. Assume as a idetificatio framework, the set fuctio B : 2 el [0,1] is cofidece fuctio if ad oly if it meets coditios as followig: (a) Bel ( ) 0; (b) Bel ( ) 1; (c) To A1, A2,, A, there is 1 el i el i el i j ( el i i 1 i1 i1 ij B Y A B ( A) B ( A A ) ( B ( A) ( Set B el1 ad B el 2 as two cofidece fuctios o same idetificatio framework, m 1 ad m 2 as correspodig basic cofidece distributio. Set m1( Ai) m2( Bj) 1. AiBj The, the fuctio defied by followig is the basic cofidece distributio of fuctio m :2 [0,1], 0, A ) m1( Ai) m2( Bj) AiBj, A 1 m1( Ai) m2( Bj) AiBj Bel,, Bel As to sythesis of multiple cofidece fuctios, set 1 B as cofidece fuctio o the uified framework, m, 1, m as correspodig basic cofidece distributio, if Bel1 B el exists ad the basic cofidece distributio is m, as to A, A, there is: ) k m1( A m ( A ), (3) 1 A1,, A A1 A = A where, k m1( A m ( A ). A1,, A A1 A A It ca be see from ( ad (3) that the combiatio of multiple evideces has othig to do with order. The computatio of multiple evidece combiatio ca be obtaied by recursive computatio of two evideces [6]. ( 2
3 MATEC Web of Cofereces 82, (2016) DOI: / mateccof/ Comprehesive Safety Assessmet Based o Multiple Iformatio Fusio 3.1 Evaluatio Flow The evaluatio flow of the proposed method is show i Fig. 1. Figure 1. Multiple iformatio fusio evaluatio flow. 3.2 Evidece Trasformatio of Evaluatio Iformatio As to comprehesive bridge health evaluatio, its health status is a problem of data fusio, icludig statuses of health, uhealthy ad ucertai. The paper costructs idetificatio framework { A1, A2}. The shows the structure is i safe state ad i usafety status, so the ucertai status is m( ). It is also a importat i the iformatio fusio to represet above evaluatio results i the probability form ad complete cofidece distributio of differet evaluatio iformatio Evidece Trasformatio of Abormal Status Evaluatio The abormal status evaluatio o bridge usually determies whether some idicator exceed a fixed threshold. The abormality degree of structure ca also be obtaied by computig idicator deviatio from ormal value. Due to complexity of structure itself ad surroudig eviromet, it is quite difficult to determie a fixed evaluatio threshold. If the ispectio idicator is exactly equal to or close to the threshold, it is difficult to determie abormal structure. The Expoetially Weighted Movig Average (EWMA) cotrol chart was selected for bridge structure safety evaluatio usig moitorig iformatio statistical aalysis [7], Double cotrol threshold alarmig method was preseted, amely prelimiary alarm ad safety alarm. Referrig to the EWMA cotrol chart theory, the paper proposes double threshold abormal status evaluatio method, amely prelimiary threshold mi ad alarm threshold max. To address the bridge structure abormal determiatio, the system uses threshold as: 4. (4) I order to improve accuracy of structural abormal determiatio, as well as reduce the difficulty whe the detectio idicator is close to, the experieces ca be used to set prelimiary threshold mi 4, alarm threshold max 6. I accordace with the double threshold evaluatio method ad bridge maagemet experieces, if the idicator obtaied from abormal diagosis system is withi the rage of prelimiary threshold, it may be cosidered 0.8, 0.0 ad m( ) 0.2. Whe the detectio idicator is beyod the alarm threshold, it ca be cosidered 0.0, 0.8 ad m( ) 0.2. If the 3
4 MATEC Web of Cofereces 82, (2016) DOI: / mateccof/ idicator is betwee above thresholds, it ca be cosidered 0.33, 0.33 ad m( ) Evidece trasformatio of bridge durability The bridge durability aalysis ca be obtaied from durability of mai structure. Boom is the key compoet to coect arch ad road i the middle or low arch bridges. Its remaiig life ca be estimated from daily fatigue damage ad cumulative damage degree. I order to evaluate fatigue durability of boom, the cumulative damage as well as relatioship betwee remaiig life ad theoretical life should be used. The computatio method cosiders ot oly cumulative damage of boom, but also effect of recet vehicle load o fatigue life. As the boom is force key of log spa arch bridge, it directly affects the safety of arch bridge. The boom with the poorest durability ca be used as basis to determie durability of bridge booms. Represet the theoretical life is N ad remaiig life obtaied from fatigue estimatio as. The proportio relatioship betwee estimated remaiig life ad theoretical remaiig life as show i (5) ca be used to evaluate durability referrig to classificatio boudaries i the bridge level maiteace specificatios. The correspodig cofidece distributio ca also be determied. (5) N I accordace with bridge level classificatio boudaries, the cofidece distributio based o is show i Table 1. Table 1. Boom durability cofidece distributio. m( ) Evidece trasformatio of huma ispectio ratig The traditioal bridge health moitorig system is overly depedet o data acquisitio system, but despise huma ispectio. As the health moitorig system oly deploys sesors o some key compoets, so the sesor etwork caot cover whole bridge. The ucovered sites are usually blid area for safe operatio of bridge, while regularly ecessary ispectio may supplemet above corers of health moitorig system. Therefore, it is very importat of huma ispectio to health evaluatio. As to bridge health moitorig i the paper, huma ispectio is also desiged, such as regular testig o liear betwee rib ad deck, settlemet of piers, as well as corrosio crackig of compoets. The cofidece distributio of huma ispectio is always based o experieces. After each time of huma ispectio, the techical coditio ratig ca be obtaied from maagemet departmet. The correspodig cofidece distributio based o bridge ratig is show i Table 2. Table 2. Cofidece distributio of huma ispectio status evaluatio. Bridge Level m( ) First Secod Third Fourth ad fifth
5 MATEC Web of Cofereces 82, (2016) DOI: / mateccof/ Comprehesive Evaluatio Example Before safety assessmet, it should firstly acquire eeded data from correspodig database i accordace with evaluatio eeds. The evaluatio amout ca be obtaied after iformatio preprocessig. The prelimiary result of bridge abormal status, boom durability ad huma ispectio will be trasformed ito correspodig evidece. The comprehesive assessmet result ca be achieved after D-S evidece fusio. As the abormal status diagosis system is a ear real-time system, the bridge is performed 6 time of abormal diagosis per miute. The boom lifetime computatio updates oce per day. Limited by factors, the update frequecy of huma ispectio is ucertai. The maximum value of bridge status ovelty idicator i each miute is used as basis for status scorig. The boom fatigue status ratig ad huma ispectio scorig are based o latest assessmet. Takig moitorig data of some bridge as example, the detectio idicator data i early oe hour is show i Fig. 2. Figure 2. Overall status detectio idicator. As show i Fig. 2, most detectio idicators i the oe hour are ormal except for 5 poits betwee prelimiary threshold ad alarm threshold, 1 poit larger tha the alarm threshold. It idicates that the bridge is ormal i most of time. The sesor error or overload vehicles may temporarily impact o bridge structure. The moitorig idicator returs to ormal after abormal time poits, which idicates the overall bridge structure is i good coditio. I accordace with computatio result of daily damage, cumulative damage ad remaiig life of boom, the shortest remaiig life of booms is 26.5 years. It ca be regarded as the basis for boom durability determiatio. As the theoretical fatigue life of boom is 30 years ad it has worked 1.25 years, the theoretical remaiig life is years. Based o (5), N It idicates the bridge boom durability is ormal ad the cofidece distributio is 0.8, 0.0 ad m( ) 0.2. Based o latest bridge maiteace report ad scorig result of maagemet departmet, the bridge is i the secod-class, so the cofidece distributio is 0.7, 0.2 ad m( ) 0.1. Coduct D-S evidece fusio o abormal status evaluatio combiig with boom durability ad huma ispectio result, the overall safety assessmet ca be arrived as show i Table 3, Table 4 ad Table 5. Table 3. Overall bridge evaluatio whe the detectio idicator is less tha prelimiary threshold. Evidece m( ) Abormal status evidece Durability evidece Huma ispectio evidece
6 MATEC Web of Cofereces 82, (2016) DOI: / mateccof/ D-S fusio evidece m Table 4. Overall bridge evaluatio whe the detectio idicator is betwee prelimiary threshold ad alarm threshold. Evidece m( ) Abormal status evidece Durability evidece Huma ispectio evidece D-S fusio evidece m Table 5. Overall bridge evaluatio whe the detectio idicator is larger tha alarm threshold. Evidece m( ) Abormal status evidece Durability evidece Huma ispectio evidece D-S fusio evidece m Accordig to actual sitig ispectio, the bridge is i good operatio, which is cosistet with evaluatio result obtaied from comprehesive bridge safety evaluatio based o D-S evidece fusio method. 5 Coclusio Usig D-S evidece fusio method, the paper achieves comprehesive bridge safety assessmet fusig operatio status, durability ad huma ispectio result. The accuracy of health safety assessmet ca be improved. However, the paper does ot cosider weight i the proposed method. I the later research, the D-S evidece theory should be thoroughly studied ad weight of each evidece be studied, so as to further improve accuracy of safety assessmet. Refereces 1. Abdelfateh Kerrouche, J. Leighto, W. J. O. Boyle, Y. M. Gebremichael, Strai Measuremet o a Rail Bridge Loaded to Failure Usig a Fiber Bragg Gratig-Based Distributed Sesor System, IEEE Sesors Joural, vol. 8, o. 12, (2008) 2. Victoria J. Hodge, Simo O'Keefe, Michael Weeks, Athoy Moulds, Wireless Sesor Networks for Coditio Moitorig i the Railway Idustry: A Survey, IEEE Trasactios o Itelliget Trasportatio Systems, vol. 16, o. 3, (2015) 3. Zhou Jiatig, Huag Hami, Huag Shaglia, Che Weimig, Remote Real-time Health Moitorig ad Evaluatio System for Log Bridge Structure, Proceedigs of IMACS Multicoferece o Computatioal Egieerig i Systems Applicatios, vol. 2, (2006) 4. Yu Chogchog, Zhag Jia, Ta Li, Wag Jiya, Distortio data research of bridge structure health moitorig based o LS-SVM classificatio, Proceedigs of 3rd Iteratioal Coferece o Iformatio Scieces ad Iteractio Scieces (ICIS), (2010) 5. F. Bruschetta, D. Zota, C. Cappello, R. Zadoii, Fusio of moitorig data from cable-stayed bridge, Proceedigs of IEEE Workshop o Evirometal Eergy ad Structural Moitorig Systems (EESMS), 1-6 (2013) 6. La ji-hui, Ma Bao-hua, D-S evidece reasoig ad its data fusio applicatio i target recogitio, Joural of Tsighua Uiversity, vol. 41, o. 2, ( Qi Pig, Coditio assessmet based o coitegratio ad multivariate cotrol chart for largespa bridges, Chogqig Uiversity, (2015) 6
TESTING OF THE FORCES IN CABLE OF SUSPENSION STRUCTURE AND BRIDGES
TSTING OF TH FORCS IN CABL OF SUSPNSION STRUCTUR AND BRIDGS Zhou, M. 1, Liu, Z. ad Liu, J. 1 College of the Muicipal Techology, Guagzhou Uiversity, Guagzhou. Guagzhou Muicipal ad Ladscape gieerig Quality
More informationA statistical method to determine sample size to estimate characteristic value of soil parameters
A statistical method to determie sample size to estimate characteristic value of soil parameters Y. Hojo, B. Setiawa 2 ad M. Suzuki 3 Abstract Sample size is a importat factor to be cosidered i determiig
More informationInterval Intuitionistic Trapezoidal Fuzzy Prioritized Aggregating Operators and their Application to Multiple Attribute Decision Making
Iterval Ituitioistic Trapezoidal Fuzzy Prioritized Aggregatig Operators ad their Applicatio to Multiple Attribute Decisio Makig Xia-Pig Jiag Chogqig Uiversity of Arts ad Scieces Chia cqmaagemet@163.com
More informationResearch on Dependable level in Network Computing System Yongxia Li 1, a, Guangxia Xu 2,b and Shuangyan Liu 3,c
Applied Mechaics ad Materials Olie: 04-0-06 ISSN: 66-748, Vols. 53-57, pp 05-08 doi:0.408/www.scietific.et/amm.53-57.05 04 Tras Tech Publicatios, Switzerlad Research o Depedable level i Network Computig
More informationStudy on Coal Consumption Curve Fitting of the Thermal Power Based on Genetic Algorithm
Joural of ad Eergy Egieerig, 05, 3, 43-437 Published Olie April 05 i SciRes. http://www.scirp.org/joural/jpee http://dx.doi.org/0.436/jpee.05.34058 Study o Coal Cosumptio Curve Fittig of the Thermal Based
More informationThe target reliability and design working life
Safety ad Security Egieerig IV 161 The target reliability ad desig workig life M. Holický Kloker Istitute, CTU i Prague, Czech Republic Abstract Desig workig life ad target reliability levels recommeded
More informationMOMENT-METHOD ESTIMATION BASED ON CENSORED SAMPLE
Vol. 8 o. Joural of Systems Sciece ad Complexity Apr., 5 MOMET-METHOD ESTIMATIO BASED O CESORED SAMPLE I Zhogxi Departmet of Mathematics, East Chia Uiversity of Sciece ad Techology, Shaghai 37, Chia. Email:
More informationEvapotranspiration Estimation Using Support Vector Machines and Hargreaves-Samani Equation for St. Johns, FL, USA
Evirometal Egieerig 0th Iteratioal Coferece eissn 2029-7092 / eisbn 978-609-476-044-0 Vilius Gedimias Techical Uiversity Lithuaia, 27 28 April 207 Article ID: eviro.207.094 http://eviro.vgtu.lt DOI: https://doi.org/0.3846/eviro.207.094
More informationProvläsningsexemplar / Preview TECHNICAL REPORT INTERNATIONAL SPECIAL COMMITTEE ON RADIO INTERFERENCE
TECHNICAL REPORT CISPR 16-4-3 2004 AMENDMENT 1 2006-10 INTERNATIONAL SPECIAL COMMITTEE ON RADIO INTERFERENCE Amedmet 1 Specificatio for radio disturbace ad immuity measurig apparatus ad methods Part 4-3:
More informationSimilarity Solutions to Unsteady Pseudoplastic. Flow Near a Moving Wall
Iteratioal Mathematical Forum, Vol. 9, 04, o. 3, 465-475 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/0.988/imf.04.48 Similarity Solutios to Usteady Pseudoplastic Flow Near a Movig Wall W. Robi Egieerig
More informationTHE KALMAN FILTER RAUL ROJAS
THE KALMAN FILTER RAUL ROJAS Abstract. This paper provides a getle itroductio to the Kalma filter, a umerical method that ca be used for sesor fusio or for calculatio of trajectories. First, we cosider
More informationConfidence interval for the two-parameter exponentiated Gumbel distribution based on record values
Iteratioal Joural of Applied Operatioal Research Vol. 4 No. 1 pp. 61-68 Witer 2014 Joural homepage: www.ijorlu.ir Cofidece iterval for the two-parameter expoetiated Gumbel distributio based o record values
More information577. Estimation of surface roughness using high frequency vibrations
577. Estimatio of surface roughess usig high frequecy vibratios V. Augutis, M. Sauoris, Kauas Uiversity of Techology Electroics ad Measuremets Systems Departmet Studetu str. 5-443, LT-5368 Kauas, Lithuaia
More informationDouble Stage Shrinkage Estimator of Two Parameters. Generalized Exponential Distribution
Iteratioal Mathematical Forum, Vol., 3, o. 3, 3-53 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/.9/imf.3.335 Double Stage Shrikage Estimator of Two Parameters Geeralized Expoetial Distributio Alaa M.
More informationDirection of Arrival Estimation Method in Underdetermined Condition Zhang Youzhi a, Li Weibo b, Wang Hanli c
4th Iteratioal Coferece o Advaced Materials ad Iformatio Techology Processig (AMITP 06) Directio of Arrival Estimatio Method i Uderdetermied Coditio Zhag Youzhi a, Li eibo b, ag Hali c Naval Aeroautical
More informationMeasurement uncertainty of the sound absorption
Measuremet ucertaity of the soud absorptio coefficiet Aa Izewska Buildig Research Istitute, Filtrowa Str., 00-6 Warsaw, Polad a.izewska@itb.pl 6887 The stadard ISO/IEC 705:005 o the competece of testig
More informationReliability model of organization management chain of South-to-North Water Diversion Project during construction period
Water Sciece ad Egieerig, Dec. 2008, Vol. 1, No. 4, 107-113 ISSN 1674-2370, http://kkb.hhu.edu.c, e-mail: wse@hhu.edu.c Reliability model of orgaizatio maagemet chai of South-to-North Water Diversio Project
More informationProperties and Hypothesis Testing
Chapter 3 Properties ad Hypothesis Testig 3.1 Types of data The regressio techiques developed i previous chapters ca be applied to three differet kids of data. 1. Cross-sectioal data. 2. Time series data.
More informationAssessment of extreme discharges of the Vltava River in Prague
Flood Recovery, Iovatio ad Respose I 05 Assessmet of extreme discharges of the Vltava River i Prague M. Holický, K. Jug & M. Sýkora Kloker Istitute, Czech Techical Uiversity i Prague, Czech Republic Abstract
More informationResearch Article A Unified Weight Formula for Calculating the Sample Variance from Weighted Successive Differences
Discrete Dyamics i Nature ad Society Article ID 210761 4 pages http://dxdoiorg/101155/2014/210761 Research Article A Uified Weight Formula for Calculatig the Sample Variace from Weighted Successive Differeces
More informationMathematical Modeling of Optimum 3 Step Stress Accelerated Life Testing for Generalized Pareto Distribution
America Joural of Theoretical ad Applied Statistics 05; 4(: 6-69 Published olie May 8, 05 (http://www.sciecepublishiggroup.com/j/ajtas doi: 0.648/j.ajtas.05040. ISSN: 6-8999 (Prit; ISSN: 6-9006 (Olie Mathematical
More informationEstimating the Change Point of Bivariate Binomial Processes Experiencing Step Changes in Their Mean
Proceedigs of the 202 Iteratioal Coferece o Idustrial Egieerig ad Operatios Maagemet Istabul, Turey, July 3 6, 202 Estimatig the Chage Poit of Bivariate Biomial Processes Experiecig Step Chages i Their
More informationCEE 522 Autumn Uncertainty Concepts for Geotechnical Engineering
CEE 5 Autum 005 Ucertaity Cocepts for Geotechical Egieerig Basic Termiology Set A set is a collectio of (mutually exclusive) objects or evets. The sample space is the (collectively exhaustive) collectio
More informationA Study for Monitoring System of Tunnel Portal Slopes at Hanti Tunnel in Korea
Disaster Mitigatio of Debris Flows, Slope Failures ad Ladslides 591 A Study for Moitorig System of Tuel Portal Slopes at Hati Tuel i Korea O-Il Kwo, 1) Yog Bae, 2) Ki-Tae Chag 3) ad Hee-Soo 4) 1) Geotechical
More informationEstimation of Population Mean Using Co-Efficient of Variation and Median of an Auxiliary Variable
Iteratioal Joural of Probability ad Statistics 01, 1(4: 111-118 DOI: 10.593/j.ijps.010104.04 Estimatio of Populatio Mea Usig Co-Efficiet of Variatio ad Media of a Auxiliary Variable J. Subramai *, G. Kumarapadiya
More informationPAijpam.eu ON TENSOR PRODUCT DECOMPOSITION
Iteratioal Joural of Pure ad Applied Mathematics Volume 103 No 3 2015, 537-545 ISSN: 1311-8080 (prited versio); ISSN: 1314-3395 (o-lie versio) url: http://wwwijpameu doi: http://dxdoiorg/1012732/ijpamv103i314
More informationDetermining the sample size necessary to pass the tentative final monograph pre-operative skin preparation study requirements
Iteratioal Joural of Cliical Trials Paulso DS. It J Cli Trials. 016 Nov;3(4):169-173 http://www.ijcliicaltrials.com pissn 349-340 eissn 349-359 Editorial DOI: http://dx.doi.org/10.1803/349-359.ijct016395
More informationResearch Article Health Monitoring for a Structure Using Its Nonstationary Vibration
Advaces i Acoustics ad Vibratio Volume 2, Article ID 69652, 5 pages doi:.55/2/69652 Research Article Health Moitorig for a Structure Usig Its Nostatioary Vibratio Yoshimutsu Hirata, Mikio Tohyama, Mitsuo
More informationResearch on the Algorithm of Avionic Device Fault Diagnosis Based on Fuzzy Expert System
Chiese Joural of Aeroautics 20(2007) 223-229 Chiese Joural of Aeroautics www.elsevier.com/locate/cja Research o the Algorithm of Avioic Device Fault Diagosis Based o Fuzzy Expert System LI Jie*, SHEN Shi-tua
More informationInternational Journal of Performability Engineering, Vol. 1, No. 1, July 2005, pp RAMS Consultants Printed in India
Iteratioal Joural of Performability Egieerig, Vol. 1, No. 1, July 2005, pp. 23-36 RAMS Cosultats Prited i Idia LIYANG XIE 1, JINYU ZHOU 1, YONGYAN WANG 2, XUEMIN WANG 1 1 Northeaster Uiversity, Sheyag,
More informationUniform Strict Practical Stability Criteria for Impulsive Functional Differential Equations
Global Joural of Sciece Frotier Research Mathematics ad Decisio Scieces Volume 3 Issue Versio 0 Year 03 Type : Double Blid Peer Reviewed Iteratioal Research Joural Publisher: Global Jourals Ic (USA Olie
More informationStatistical Fundamentals and Control Charts
Statistical Fudametals ad Cotrol Charts 1. Statistical Process Cotrol Basics Chace causes of variatio uavoidable causes of variatios Assigable causes of variatio large variatios related to machies, materials,
More informationResearch and Application of FAHP in Bidding Quotation for Petroleum Geophysical Prospecting Project
Ope Joural of Statistics, 207, 7, 589-598 http://www.scirp.org/oural/os ISSN Olie: 26-798 ISSN Prit: 26-78X Research ad Applicatio of FAHP i Biddig Quotatio for Petroleum Geophysical Prospectig Proect
More informationANOTHER WEIGHTED WEIBULL DISTRIBUTION FROM AZZALINI S FAMILY
ANOTHER WEIGHTED WEIBULL DISTRIBUTION FROM AZZALINI S FAMILY Sulema Nasiru, MSc. Departmet of Statistics, Faculty of Mathematical Scieces, Uiversity for Developmet Studies, Navrogo, Upper East Regio, Ghaa,
More informationThere is no straightforward approach for choosing the warmup period l.
B. Maddah INDE 504 Discrete-Evet Simulatio Output Aalysis () Statistical Aalysis for Steady-State Parameters I a otermiatig simulatio, the iterest is i estimatig the log ru steady state measures of performace.
More informationSample Size Estimation in the Proportional Hazards Model for K-sample or Regression Settings Scott S. Emerson, M.D., Ph.D.
ample ie Estimatio i the Proportioal Haards Model for K-sample or Regressio ettigs cott. Emerso, M.D., Ph.D. ample ie Formula for a Normally Distributed tatistic uppose a statistic is kow to be ormally
More informationResearch on real time compensation of thermal errors of CNC lathe based on linear regression theory Qiu Yongliang
d Iteratioal Coferece o Machiery, Materials Egieerig, Chemical Egieerig ad Biotechology (MMECEB 015) Research o real time compesatio of thermal errors of CNC lathe based o liear regressio theory Qiu Yogliag
More informationSolution of Differential Equation from the Transform Technique
Iteratioal Joural of Computatioal Sciece ad Mathematics ISSN 0974-3189 Volume 3, Number 1 (2011), pp 121-125 Iteratioal Research Publicatio House http://wwwirphousecom Solutio of Differetial Equatio from
More informationBIOSTATISTICS. Lecture 5 Interval Estimations for Mean and Proportion. dr. Petr Nazarov
Microarray Ceter BIOSTATISTICS Lecture 5 Iterval Estimatios for Mea ad Proportio dr. Petr Nazarov 15-03-013 petr.azarov@crp-sate.lu Lecture 5. Iterval estimatio for mea ad proportio OUTLINE Iterval estimatios
More informationComparison Study of Series Approximation. and Convergence between Chebyshev. and Legendre Series
Applied Mathematical Scieces, Vol. 7, 03, o. 6, 3-337 HIKARI Ltd, www.m-hikari.com http://d.doi.org/0.988/ams.03.3430 Compariso Study of Series Approimatio ad Covergece betwee Chebyshev ad Legedre Series
More informationFACULTY OF MATHEMATICAL STUDIES MATHEMATICS FOR PART I ENGINEERING. Lectures
FACULTY OF MATHEMATICAL STUDIES MATHEMATICS FOR PART I ENGINEERING Lectures MODULE 5 STATISTICS II. Mea ad stadard error of sample data. Biomial distributio. Normal distributio 4. Samplig 5. Cofidece itervals
More informationThe DOA Estimation of Multiple Signals based on Weighting MUSIC Algorithm
, pp.10-106 http://dx.doi.org/10.1457/astl.016.137.19 The DOA Estimatio of ultiple Sigals based o Weightig USIC Algorithm Chagga Shu a, Yumi Liu State Key Laboratory of IPOC, Beijig Uiversity of Posts
More informationCUMULATIVE DAMAGE ESTIMATION USING WAVELET TRANSFORM OF STRUCTURAL RESPONSE
CUMULATIVE DAMAGE ESTIMATION USING WAVELET TRANSFORM OF STRUCTURAL RESPONSE Ryutaro SEGAWA 1, Shizuo YAMAMOTO, Akira SONE 3 Ad Arata MASUDA 4 SUMMARY Durig a strog earthquake, the respose of a structure
More informationOBJECTIVES. Chapter 1 INTRODUCTION TO INSTRUMENTATION FUNCTION AND ADVANTAGES INTRODUCTION. At the end of this chapter, students should be able to:
OBJECTIVES Chapter 1 INTRODUCTION TO INSTRUMENTATION At the ed of this chapter, studets should be able to: 1. Explai the static ad dyamic characteristics of a istrumet. 2. Calculate ad aalyze the measuremet
More informationElectricity consumption forecasting method based on MPSO-BP neural network model Youshan Zhang 1, 2,a, Liangdong Guo2, b,qi Li 3, c and Junhui Li2, d
4th Iteratioal Coferece o Electrical & Electroics Egieerig ad Computer Sciece (ICEEECS 2016) Electricity cosumptio forecastig method based o eural etwork model Yousha Zhag 1, 2,a, Liagdog Guo2, b,qi Li
More informationThe improvement of the volume ratio measurement method in static expansion vacuum system
Available olie at www.sciecedirect.com Physics Procedia 32 (22 ) 492 497 8 th Iteratioal Vacuum Cogress The improvemet of the volume ratio measuremet method i static expasio vacuum system Yu Hogya*, Wag
More informationA STUDY OF VIBRATION MEASURING AND FATIGUE ANALYSIS FOR CANTILEVER BEAMS
Joural of Techology, Vol. 3, No., pp. 47-56 (07) 47, * LabView ANSYS A STUDY OF VIBRATION MEASURING AND FATIGUE ANALYSIS FOR CANTILEVER BEAMS Yuo-Ter Tsai, * Hsie-Yag Li Departmet of Mechaical Egieerig
More informationR. van Zyl 1, A.J. van der Merwe 2. Quintiles International, University of the Free State
Bayesia Cotrol Charts for the Two-parameter Expoetial Distributio if the Locatio Parameter Ca Take o Ay Value Betwee Mius Iity ad Plus Iity R. va Zyl, A.J. va der Merwe 2 Quitiles Iteratioal, ruaavz@gmail.com
More informationThe Local Harmonious Chromatic Problem
The 7th Workshop o Combiatorial Mathematics ad Computatio Theory The Local Harmoious Chromatic Problem Yue Li Wag 1,, Tsog Wuu Li ad Li Yua Wag 1 Departmet of Iformatio Maagemet, Natioal Taiwa Uiversity
More informationChapter 12 - Quality Cotrol Example: The process of llig 12 ouce cas of Dr. Pepper is beig moitored. The compay does ot wat to uderll the cas. Hece, a target llig rate of 12.1-12.5 ouces was established.
More informationAccuracy assessment methods and challenges
Accuracy assessmet methods ad challeges Giles M. Foody School of Geography Uiversity of Nottigham giles.foody@ottigham.ac.uk Backgroud Need for accuracy assessmet established. Cosiderable progress ow see
More informationModified Logistic Maps for Cryptographic Application
Applied Mathematics, 25, 6, 773-782 Published Olie May 25 i SciRes. http://www.scirp.org/joural/am http://dx.doi.org/.4236/am.25.6573 Modified Logistic Maps for Cryptographic Applicatio Shahram Etemadi
More informationAnalysis of Fuzzy Fault Tree using Intuitionstic Fuzzy Numbers
Neeraj Lata / Iteratioal Joural of Computer Sciece & Egieerig Techology (IJCSET) Aalysis of Fuzzy Fault Tree usig Ituitiostic Fuzzy Numbers Neeraj Lata Departmet of applied Scieces,TeerthakerMahaveer Uiversity,
More informationRAINFALL PREDICTION BY WAVELET DECOMPOSITION
RAIFALL PREDICTIO BY WAVELET DECOMPOSITIO A. W. JAYAWARDEA Departmet of Civil Egieerig, The Uiversit of Hog Kog, Hog Kog, Chia P. C. XU Academ of Mathematics ad Sstem Scieces, Chiese Academ of Scieces,
More informationPOWER AKASH DISTRIBUTION AND ITS APPLICATION
POWER AKASH DISTRIBUTION AND ITS APPLICATION Rama SHANKER PhD, Uiversity Professor, Departmet of Statistics, College of Sciece, Eritrea Istitute of Techology, Asmara, Eritrea E-mail: shakerrama009@gmail.com
More informationSample Size Determination (Two or More Samples)
Sample Sie Determiatio (Two or More Samples) STATGRAPHICS Rev. 963 Summary... Data Iput... Aalysis Summary... 5 Power Curve... 5 Calculatios... 6 Summary This procedure determies a suitable sample sie
More informationComparison of Minimum Initial Capital with Investment and Non-investment Discrete Time Surplus Processes
The 22 d Aual Meetig i Mathematics (AMM 207) Departmet of Mathematics, Faculty of Sciece Chiag Mai Uiversity, Chiag Mai, Thailad Compariso of Miimum Iitial Capital with Ivestmet ad -ivestmet Discrete Time
More informationResearch Article Research on Application of Regression Least Squares Support Vector Machine on Performance Prediction of Hydraulic Excavator
Joural of Cotrol Sciece ad Egieerig, Article ID 686130, 4 pages http://dx.doi.org/10.1155/2014/686130 Research Article Research o Applicatio of Regressio Least Squares Support Vector Machie o Performace
More informationMOST PEOPLE WOULD RATHER LIVE WITH A PROBLEM THEY CAN'T SOLVE, THAN ACCEPT A SOLUTION THEY CAN'T UNDERSTAND.
XI-1 (1074) MOST PEOPLE WOULD RATHER LIVE WITH A PROBLEM THEY CAN'T SOLVE, THAN ACCEPT A SOLUTION THEY CAN'T UNDERSTAND. R. E. D. WOOLSEY AND H. S. SWANSON XI-2 (1075) STATISTICAL DECISION MAKING Advaced
More informationApproximating the ruin probability of finite-time surplus process with Adaptive Moving Total Exponential Least Square
WSEAS TRANSACTONS o BUSNESS ad ECONOMCS S. Khotama, S. Boothiem, W. Klogdee Approimatig the rui probability of fiite-time surplus process with Adaptive Movig Total Epoetial Least Square S. KHOTAMA, S.
More informationDesign of distribution transformer loss meter considering the harmonic loss based on one side measurement method
3rd Iteratioal Coferece o Machiery, Materials ad Iformatio Techology Applicatios (ICMMITA 05) Desig of distributio trasformer loss meter cosiderig the harmoic loss based o oe side measuremet method HU
More informationPOWER SERIES SOLUTION OF FIRST ORDER MATRIX DIFFERENTIAL EQUATIONS
Joural of Applied Mathematics ad Computatioal Mechaics 4 3(3) 3-8 POWER SERIES SOLUION OF FIRS ORDER MARIX DIFFERENIAL EQUAIONS Staisław Kukla Izabela Zamorska Istitute of Mathematics Czestochowa Uiversity
More informationSafety analysis for integrated modular avionics based on blueprints
Safety aalysis for itegrated modular avioics based o blueprits Jiayu Chu, Xiaohog Bao, Tigdi Zhao a ad Fuchu re School of Reliability ad Systems Egieerig, Beihag Uiversity, Chia Abstract. The Itegrated
More informationComplex Algorithms for Lattice Adaptive IIR Notch Filter
4th Iteratioal Coferece o Sigal Processig Systems (ICSPS ) IPCSIT vol. 58 () () IACSIT Press, Sigapore DOI:.7763/IPCSIT..V58. Complex Algorithms for Lattice Adaptive IIR Notch Filter Hog Liag +, Nig Jia
More informationLINEAR REGRESSION ANALYSIS. MODULE IX Lecture Multicollinearity
LINEAR REGRESSION ANALYSIS MODULE IX Lecture - 9 Multicolliearity Dr Shalabh Departmet of Mathematics ad Statistics Idia Istitute of Techology Kapur Multicolliearity diagostics A importat questio that
More informationChapter 13, Part A Analysis of Variance and Experimental Design
Slides Prepared by JOHN S. LOUCKS St. Edward s Uiversity Slide 1 Chapter 13, Part A Aalysis of Variace ad Eperimetal Desig Itroductio to Aalysis of Variace Aalysis of Variace: Testig for the Equality of
More informationLive Line Measuring the Parameters of 220 kv Transmission Lines with Mutual Inductance in Hainan Power Grid
Egieerig, 213, 5, 146-151 doi:1.4236/eg.213.51b27 Published Olie Jauary 213 (http://www.scirp.org/joural/eg) Live Lie Measurig the Parameters of 22 kv Trasmissio Lies with Mutual Iductace i Haia Power
More informationNon-negative Matrix Factorization for Filtering Chinese Document *
No-egative Matrix Factorizatio for Filterig Chiese Documet * Jiaiag Lu,,3, Baowe Xu,, Jixiag Jiag, ad Dazhou Kag Departmet of Computer Sciece ad Egieerig, Southeast Uiversity, Naig, 0096, Chia Jiagsu Istitute
More informationGUIDE FOR THE USE OF THE DECISION SUPPORT SYSTEM (DSS)*
GUIDE FOR THE USE OF THE DECISION SUPPORT SYSTEM (DSS)* *Note: I Frech SAD (Système d Aide à la Décisio) 1. Itroductio to the DSS Eightee statistical distributios are available i HYFRAN-PLUS software to
More informationResearch Article Global Exponential Stability of Discrete-Time Multidirectional Associative Memory Neural Network with Variable Delays
Iteratioal Scholarly Research Network ISRN Discrete Mathematics Volume 202, Article ID 8375, 0 pages doi:0.5402/202/8375 Research Article Global Expoetial Stability of Discrete-Time Multidirectioal Associative
More informationPresenting A Framework To Study Linkages Among Tqm Practices, Supply Chain Management Practices, And Performance Using Dematel Technique
Australia Joural of Basic ad Applied Scieces, 5(9): 885-890, 20 ISSN 99-878 Presetig A Framework To Study Likages Amog Tqm Practices, Supply Chai Maagemet Practices, Ad Performace Usig Dematel Techique
More informationTRACEABILITY SYSTEM OF ROCKWELL HARDNESS C SCALE IN JAPAN
HARDMEKO 004 Hardess Measuremets Theory ad Applicatio i Laboratories ad Idustries - November, 004, Washigto, D.C., USA TRACEABILITY SYSTEM OF ROCKWELL HARDNESS C SCALE IN JAPAN Koichiro HATTORI, Satoshi
More informationProbability, Expectation Value and Uncertainty
Chapter 1 Probability, Expectatio Value ad Ucertaity We have see that the physically observable properties of a quatum system are represeted by Hermitea operators (also referred to as observables ) such
More informationModified Ratio Estimators Using Known Median and Co-Efficent of Kurtosis
America Joural of Mathematics ad Statistics 01, (4): 95-100 DOI: 10.593/j.ajms.01004.05 Modified Ratio s Usig Kow Media ad Co-Efficet of Kurtosis J.Subramai *, G.Kumarapadiya Departmet of Statistics, Podicherry
More informationTrue Nature of Potential Energy of a Hydrogen Atom
True Nature of Potetial Eergy of a Hydroge Atom Koshu Suto Key words: Bohr Radius, Potetial Eergy, Rest Mass Eergy, Classical Electro Radius PACS codes: 365Sq, 365-w, 33+p Abstract I cosiderig the potetial
More informationFour-dimensional Vector Matrix Determinant and Inverse
I.J. Egieerig ad Maufacturig 013 30-37 Published Olie Jue 01 i MECS (http://www.mecs-press.et) DOI: 10.5815/iem.01.03.05 vailable olie at http://www.mecs-press.et/iem Four-dimesioal Vector Matrix Determiat
More informationThe prediction of cement energy demand based on support vector machine Xin Zhang a, *, Shaohong Jing b
4th Iteratioal Coferece o Computer, Mechatroics, Cotrol ad Electroic Egieerig (ICCMCEE 05) The predictio of cemet eergy demad based o support vector machie Xi Zhag a,, Shaohog Jig b School of Electrical
More informationEDGEWORTH SIZE CORRECTED W, LR AND LM TESTS IN THE FORMATION OF THE PRELIMINARY TEST ESTIMATOR
Joural of Statistical Research 26, Vol. 37, No. 2, pp. 43-55 Bagladesh ISSN 256-422 X EDGEORTH SIZE CORRECTED, AND TESTS IN THE FORMATION OF THE PRELIMINARY TEST ESTIMATOR Zahirul Hoque Departmet of Statistics
More informationDECOMPOSITION METHOD FOR SOLVING A SYSTEM OF THIRD-ORDER BOUNDARY VALUE PROBLEMS. Park Road, Islamabad, Pakistan
Mathematical ad Computatioal Applicatios, Vol. 9, No. 3, pp. 30-40, 04 DECOMPOSITION METHOD FOR SOLVING A SYSTEM OF THIRD-ORDER BOUNDARY VALUE PROBLEMS Muhammad Aslam Noor, Khalida Iayat Noor ad Asif Waheed
More informationInvestigating the Significance of a Correlation Coefficient using Jackknife Estimates
Iteratioal Joural of Scieces: Basic ad Applied Research (IJSBAR) ISSN 2307-4531 (Prit & Olie) http://gssrr.org/idex.php?joural=jouralofbasicadapplied ---------------------------------------------------------------------------------------------------------------------------
More informationResearch Article Health Monitoring for a Structure Using Its Nonstationary Vibration
Hidawi Publishig Corporatio Advaces i Acoustics ad Vibratio Volume 2, Article ID 69652, 5 pages doi:.55/2/69652 Research Article Health Moitorig for a Structure Usig Its Nostatioary Vibratio Yoshimutsu
More informationStatistical Intervals for a Single Sample
3/5/06 Applied Statistics ad Probability for Egieers Sixth Editio Douglas C. Motgomery George C. Ruger Chapter 8 Statistical Itervals for a Sigle Sample 8 CHAPTER OUTLINE 8- Cofidece Iterval o the Mea
More informationMechatronics. Time Response & Frequency Response 2 nd -Order Dynamic System 2-Pole, Low-Pass, Active Filter
Time Respose & Frequecy Respose d -Order Dyamic System -Pole, Low-Pass, Active Filter R 4 R 7 C 5 e i R 1 C R 3 - + R 6 - + e out Assigmet: Perform a Complete Dyamic System Ivestigatio of the Two-Pole,
More informationControl Charts for Mean for Non-Normally Correlated Data
Joural of Moder Applied Statistical Methods Volume 16 Issue 1 Article 5 5-1-017 Cotrol Charts for Mea for No-Normally Correlated Data J. R. Sigh Vikram Uiversity, Ujjai, Idia Ab Latif Dar School of Studies
More informationDirect Position Determination Algorithm Based on Multi-array in the Presence of Gain-phase Errors
2016 Joit Iteratioal Coferece o Artificial Itelligece ad Computer Egieerig (AICE 2016) ad Iteratioal Coferece o Network ad Commuicatio Security (NCS 2016) ISBN: 978-1-60595-362-5 Direct Positio Determiatio
More informationModeling and Estimation of a Bivariate Pareto Distribution using the Principle of Maximum Entropy
Sri Laka Joural of Applied Statistics, Vol (5-3) Modelig ad Estimatio of a Bivariate Pareto Distributio usig the Priciple of Maximum Etropy Jagathath Krisha K.M. * Ecoomics Research Divisio, CSIR-Cetral
More informationTHE DATA-BASED CHOICE OF BANDWIDTH FOR KERNEL QUANTILE ESTIMATOR OF VAR
Iteratioal Joural of Iovative Maagemet, Iformatio & Productio ISME Iteratioal c2013 ISSN 2185-5439 Volume 4, Number 1, Jue 2013 PP. 17-24 THE DATA-BASED CHOICE OF BANDWIDTH FOR KERNEL QUANTILE ESTIMATOR
More informationBayesian and E- Bayesian Method of Estimation of Parameter of Rayleigh Distribution- A Bayesian Approach under Linex Loss Function
Iteratioal Joural of Statistics ad Systems ISSN 973-2675 Volume 12, Number 4 (217), pp. 791-796 Research Idia Publicatios http://www.ripublicatio.com Bayesia ad E- Bayesia Method of Estimatio of Parameter
More informationEE / EEE SAMPLE STUDY MATERIAL. GATE, IES & PSUs Signal System. Electrical Engineering. Postal Correspondence Course
Sigal-EE Postal Correspodece Course 1 SAMPLE STUDY MATERIAL Electrical Egieerig EE / EEE Postal Correspodece Course GATE, IES & PSUs Sigal System Sigal-EE Postal Correspodece Course CONTENTS 1. SIGNAL
More informationFormulas for the Number of Spanning Trees in a Maximal Planar Map
Applied Mathematical Scieces Vol. 5 011 o. 64 3147-3159 Formulas for the Number of Spaig Trees i a Maximal Plaar Map A. Modabish D. Lotfi ad M. El Marraki Departmet of Computer Scieces Faculty of Scieces
More informationPower Weighted Quantile Regression and Its Application
Joural of Data Sciece 12(2014), 535-544 Power Weighted Quatile Regressio ad Its Applicatio Xue J. Ma 1 ad Feg X. He 2 1 Remi Uiversity of Chia 2 North Chia Electric Power Uiversity Abstract: I the paper,
More informationCentral limit theorem and almost sure central limit theorem for the product of some partial sums
Proc. Idia Acad. Sci. Math. Sci. Vol. 8, No. 2, May 2008, pp. 289 294. Prited i Idia Cetral it theorem ad almost sure cetral it theorem for the product of some partial sums YU MIAO College of Mathematics
More informationThe Nature Diagnosability of Bubble-sort Star Graphs under the PMC Model and MM* Model
Iteratioal Joural of Egieerig ad Applied Scieces (IJEAS) ISSN: 394-366 Volume-4 Issue-8 August 07 The Nature Diagosability of Bubble-sort Star Graphs uder the PMC Model ad MM* Model Mujiagsha Wag Yuqig
More informationFinal Examination Solutions 17/6/2010
The Islamic Uiversity of Gaza Faculty of Commerce epartmet of Ecoomics ad Political Scieces A Itroductio to Statistics Course (ECOE 30) Sprig Semester 009-00 Fial Eamiatio Solutios 7/6/00 Name: I: Istructor:
More informationMONITORING THE STABILITY OF SLOPES BY GPS
MONITORING THE STABILITY OF SLOPES BY GPS Prof. S. Sakurai Costructio Egieerig Research Istitute Foudatio, Japa Prof. N. Shimizu Dept. of Civil Egieerig, Yamaguchi Uiversity, Japa ABSTRACT The stability
More informationU8L1: Sec Equations of Lines in R 2
MCVU U8L: Sec. 8.9. Equatios of Lies i R Review of Equatios of a Straight Lie (-D) Cosider the lie passig through A (-,) with slope, as show i the diagram below. I poit slope form, the equatio of the lie
More informationµ and π p i.e. Point Estimation x And, more generally, the population proportion is approximately equal to a sample proportion
Poit Estimatio Poit estimatio is the rather simplistic (ad obvious) process of usig the kow value of a sample statistic as a approximatio to the ukow value of a populatio parameter. So we could for example
More information5. Likelihood Ratio Tests
1 of 5 7/29/2009 3:16 PM Virtual Laboratories > 9. Hy pothesis Testig > 1 2 3 4 5 6 7 5. Likelihood Ratio Tests Prelimiaries As usual, our startig poit is a radom experimet with a uderlyig sample space,
More information2 1. The r.s., of size n2, from population 2 will be. 2 and 2. 2) The two populations are independent. This implies that all of the n1 n2
Chapter 8 Comparig Two Treatmets Iferece about Two Populatio Meas We wat to compare the meas of two populatios to see whether they differ. There are two situatios to cosider, as show i the followig examples:
More informationThe standard deviation of the mean
Physics 6C Fall 20 The stadard deviatio of the mea These otes provide some clarificatio o the distictio betwee the stadard deviatio ad the stadard deviatio of the mea.. The sample mea ad variace Cosider
More information