Neutrosophic EOQ Model with Price Break
|
|
- Frank Sullivan
- 6 years ago
- Views:
Transcription
1 eutrosophic Sets and Systems, Vol. 9, 8 4 University of ew Mexico eutrosophic EOQ Model with Price Break M. Mullai Assistant Professor of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India. mullaimalagappauniversity.ac.in R. Surya Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India. suryarrrm@gmail.com Abstract Inventory control of an ideal resource is the most important one which fulfils various activities (functions) of an organisation. The supplier gives the discount for an item in the cost of units inorder to motivate the buyers (or) customers to purchase the large quantity of that item. These discounts take the form of price breaks where purchase cost is assumed to be constant. In this paper an EOQ model with price break in inventory model is developed to obtain its optimum solution by assuming neutrosophic demand and neutrosophic purchasing cost as triangular neutrosophic numbers. A numerical example is provided to illustrate the proposed model. Keywords: Price break, neutrosophic demand, neutrosophic purchase cost, neutrosophic sets, triangular neutrosophic number. ITRODUCTIO Bai and Li[] have discussed triangular and trapezoidal fuzzy numbers in inventory model for determining the optimal order quantity and the optimal cost. The quantity discount problem has been analyzed from a buyers perspective. Hadley and Whintin[], Peterson and Silver[3], and Starr and Miller[6] considered various discount polices and demand assumptions. Yang and Wee[7] developed an economic ordering policy in the view of both the supplier and the buyer. Prabjot Kaur and Mahuya Deb[5] developed an intuitionistic approach for price breaks in EOQ from buyer s perspective. Smarandache[5] introduced neutrosophic set and neutrosophic logic by considering the non-standard analysis. Also, neutrosophic inventory model without shortages is introduced by M. Mullai and S. Broumi[3]. In this paper, we introduce the neutrosophic inventory models with neutrosophic price break to find the optimal solution of the model for the optimal order quantity. Also the neutrosophic inventory model under neutrosophic demand and neutrosophic purchasing cost at which the quantity discount are offered to be triangular neutrosophic number. Also the optimal order quantity for the neutrosophic total cost is determined by defining the accuracy function of triangular neutrosophic numbers. OTATIOS: = umber of pieces per order C = eutrosophic Ordering cost for each order
2 eutrosophic Sets and Systems, Vol. 9, 8 5 C h = eutrosophic Holding cost per unit per year D = eutrosophic Annual demand in units 3 EUTROSOPHIC EOQ MODEL WITH PRICE BREAK: The eutrosophic inventory model with neutrosophic price break is introduced to find the optimal solutions for the optimal neutrosophic order quantity. Here we assume that there is no stock outs, no backlogs, replenishment is instantaneous, the neutrosophic ordering cost involved to receive an order are known and constant and purchasing values at which discounts are offered as triangular neutrosophic numbers. Consider the following variables: D : eutrosophic yearly demand, P : eutrosophic purchasing cost Let D = (D, D, D (D, D, D (D, D, D P = (P, P, P (P, P, P (P, P, P P = (P, P, P 3) (P, P, P (P, P, P P = (P, P, P 3) (P, P, P (P, P, P are non negative triangular neutrosophic numbers. ow, we introduce the neutrosophic inventory model under neutrosophic demand and neutrosophic purchasing cost at which the quantity discounts are offered. Total neutrosophic inventory cost is given by (TC) = D P D C Q P I Then the total neutrosophic inventory cost is (TC) = (D P + D C I, D P + D C I, D 3 P3 + D 3 C + P3 I )(D P + D C + Q P I, D P + D C I, D 3 P 3 + D 3 C + P 3 I )(D P + D C + Q P I, D P + D C I, D 3 P 3 + D 3 C + Q P 3 I ) The defuzzified total neutrosophic cost using accuracy function is given by D(TC) = 8 [(D P + D C (D P + D C P3 I ) + (D P (D P + D C D 3 C + Q P 3 I )] I ) + I ) + (D 3 P 3 + D 3 C + D C + + Q P I ) + I ) + (D 3 P 3 + To find the minimum of D(TC) by taking the derivative D(TC) and equating it to zero, (i.e) [(D 8 C + D C + D3 C ) + (D C + D C + D 3 C )] + [(P 6 I + P I +P3 I )+(P I +P I +P 3 I )] =, weget = [(D C +D C +D 3 C )+(D C +D C +D 3 C )] [(P I +P I +P3 I )+(P I +P I +P 3 I )] eutrosophic Price Break: S.o. Quantity Price Per Unit (Rs) b P b P (< P ) 4 ALGORITHM FOR FIDIG EUTRO- SOPHIC OPTIMAL QUATITY AD EU- TROSOPHIC OPTIMAL COST: Step I: Consider the lowest price P and determine by using the economic order quantity (EOQ) formula: = [(D C +D C +D 3 C )+(D C +D C +D 3 C )] [(P I +P I +P3 I )+(P I +P I +P 3 I )] If lies in the range specified, b then is the EOQ.The defuzzified optimal total cost (T C) associated with is calculated as follows: (TC) = D P + D C + bp I, b by using the accuracy function A = (a +a +a +(a +a +a 8
3 6 eutrosophic Sets and Systems, Vol. 9, 8 Step : (i) If < b, we cannot place an order at the lowest price P. (ii) We calculate with price P and the corresponding total cost TC at. (iii) If (T C) b > (T C), then EOQ is Q =, Otherwise Q = b is the required EOQ. The EOQ in crisp, fuzzy and intuitionistic fuzzy sets are discussed detail in [5]. They are (i) Crisp: Q = DC P I (ii) Fuzzy: Q = (D C +D C +D 3 C ) P I+P I+P 3 I (iii) Intuitionistic fuzzy: Q = (D C +4D C +D 3 C +D C +D 3 C ) P I+4P I+P 3 I+P I+P 3 I Using these formula, the numerical example for neutrosophic set is illustrated as follows. 5 UMERICAL EXAMPLE: A manufacturing company issues the supply of a special component which has the following price schedule: to 99 items: Rs.8 per unit items and above: Rs.6 per unit The inventory holding costs are estimated to be Rs.3/- of the value of the inventory. The procurement ordering costs are estimated to be Rs.5 per order. If the annual requirement of the special component is 35, then compute the economic order quantity for the procurement of these items. Solution: (i) Crisp Case: Given D = 35, P = Rs.8, P = Rs.6, C = Rs.5, I =.3 Q = 76 TC(P = 8) = Rs.9639 TC(b=) = Rs.45, which is lower than the total cost corresponding to Q (ii) Fuzzy Case: Given D = (3, 35, 4), P = (75, 8, 85) P = (55, 6, 65),C = Rs.5,I =.3 Q = 88.9 T C(P = 8) = Rs T C(b=) = Rs.55, which is lower than the total cost corresponding to Q. (iii) Intuitionistic Fuzzy Case: Given D = (3, 35, 4) (5, 35, 45) P = (75, 8, 85) (7, 8, 9) P = (55, 6, 65) (5, 6, 7), C = Rs.5, I =.3 Q = 88.9 T C(P = 8) = Rs T C(b = ) = Rs.7375, which is lower than the total cost corresponding to Q. (iv) eutrosophic Case: Given D = (3, 35, 4) (5, 35, 45) (5, 35, 55) P = (75, 8, 85) (7, 8, 9)(6, 8, ) P = (55, 6, 65) (5, 6, 7)(4, 6, 8) C = Rs.5, I =.3 We calculate Q corresponding to the lowest price 6, Q = [(D C +D C +D 3 C )+(D C +D C +D [(P I +P I +P 3 I )+(P I +P I +P 3 C )] 3 I )] = , which is less than the price break point. Therefore, we have to determine the optimal total cost for the first price and the total cost at the price- break corresponding to the second price and compare the two.
4 eutrosophic Sets and Systems, Vol. 9, 8 7 The defuzzified optimal total cost (T C) associated with P is calculated as follows: (T C) (P = 8) = D P + D C = Rs Q P I 3.5 x S.o. S.o. S.o. 3 S.o. 4 S.o. 5 (T C) (b = ) = D P + D C b = Rs bp I which is lower than the total cost corresponding to. Intuitionistic (TC)(p ) eutrosophic (TC) (p ) Figure. Analysis of first price between intuitionistic fuzzy set and neutrosophic set 6 SESITIVITY AALYSIS In this section, the analysis between intuitionistic set and neutrosophic set is tabulated and the results are compared graphically..5 x S.o. S.o. S.o. 3 S.o. 4 S.o S.o. Intuitionistic Demand eutrosophic Demand (7,3,37) (,3,4) (7,3,37) (,3,4) (,3,5) (8,33,38) (3,33,43) (8,33,38) (3,33,43) (3,33,53) 3 (3,35,4) (5,35,45) (3,35,4) (5,35,45) (5,35,55) 4 (3,37,4) (7,37,47) (3,37,4) (7,37,47) (7,37,57) 5 (33,38,43) (8,38,48) (33,38,43) (8,38,48) (8,38,58) Intuitionistic (TC)(b) eutrosophic (TC) (b) Intuitionistic (Q) eutrosophic Figure. Analysis of economic order quantity (EOQ) between intuitionistic fuzzy set and neutrosophic set (Q) S.o. S.o. S.o. 3 S.o. 4 S.o. 5 Figure 3. Analysis of price break corresponding to second price between intuitionistic fuzzy set and neutrosophic set Conclusion In this paper, EOQ model with price break in neutrosophic environment is introduced. An inventory model is developed for price breaks and its optimum solution is obtained by using triangular neutrosophic number. An algorithm for solving neutrosophic optimal quantity and neutrosophic optimal cost is also developed. This will be an advantage for the buyer who can easily decrease the bad cases and increase the better ones. Hence, the neutrosophic set gives the better solutions to the real world problems than fuzzy and intuitionistic fuzzy sets. In future, the various neutrosophic inventory models will be developed with various limitations such as lead time, backlogging, back order and deteriorating items, etc.
5 8 eutrosophic Sets and Systems, Vol. 9, 8 REFERECES [] S. BAI AD Y. LI,Study of inventory management based on tri- angular fuzzy numbers theory, IEEE, /8/ 8. [] G. HADLEY AD T. M. WHITI,Analysis of Inventory Systems, Prentice Hall, Inc, Englewood Cliffs,.J 963. [3] M. MULLAI AD S. BROUMI, eutrosophic Inventory Model without Shortages, Asian Journal of Mathematics and Computer Research, 3(4): 4-9, 8.. [4] R. PETERSO AD E. A. SILVER,Decisions Systems for Inventory Management and Production Planning, John Wiley and Sons, ew York 979. [5] PRABJOT KAUR AD MAHUYA DEB,An Intuitionistic Approach for Price Breaks in EOQ from Buyer s Perspective, Applied Mathematical Sciences, Vol. 9, 5, no. 7, [6] F. SMARADACHE, eutrosophic set - a generalization of the intuitionistic fuzzy set, Granular Computing, 6 IEEE International Conference, 6, pp [7] K. M. STARR AD D. W. MILLER,Inventory Control: Theory and Practice, Prentice Hall, Inc, Englewood Cliffs,.J 96. [8] YAG, P., AD WEE, H.,Economic ordering policy of deteriorated item for vendor and buyer: an integrated approach.production Planning and Control,,, [9] Abdel-Basset, M., Mohamed, M., Smarandache, F., & Chang, V. (8). eutrosophic Association Rule Mining Algorithm for Big Data Analysis. Symmetry, (4), 6. [] Abdel-Basset, M., & Mohamed, M. (8). The Role of Single Valued eutrosophic Sets and Rough Sets in Smart City: Imperfect and Incomplete Information Systems. Measurement. Volume 4, August 8, Pages [] Abdel-Basset, M., Gunasekaran, M., Mohamed, M., & Smarandache, F. A novel method for solving the fully neutrosophic linear programming problems. eural Computing and Applications, -. [] Abdel-Basset, M., Manogaran, G., Gamal, A., & Smarandache, F. (8). A hybrid approach of neutrosophic sets and DEMATEL method for developing supplier selection criteria. Design Automation for Embedded Systems, -. [3] Abdel-Basset, M., Mohamed, M., & Chang, V. (8). MCDA: A framework for evaluating cloud computing services. Future Generation Computer Systems, 86, -9. Received : January 7, 8. Accepted : March 5, 8.
Neutrosophic Goal Geometric Programming Problem based on Geometric Mean Method and its Application
Neutrosophic Sets and Systems, Vol. 19, 2018 80 University of New Mexico Neutrosophic Goal Geometric Programming Problem based on Geometric Sahidul Islam, Tanmay Kundu Department of Mathematics, University
More informationMulti level inventory management decisions with transportation cost consideration in fuzzy environment. W. Ritha, S.
Annals of Fuzzy Mathematics and Informatics Volume 2, No. 2, October 2011, pp. 171-181 ISSN 2093 9310 http://www.afmi.or.kr @FMI c Kyung Moon Sa Co. http://www.kyungmoon.com Multi level inventory management
More informationA Fuzzy Inventory Model. Without Shortages Using. Triangular Fuzzy Number
Chapter 3 A Fuzzy Inventory Model Without Shortages Using Triangular Fuzzy Number 3.1 Introduction In this chapter, an inventory model without shortages has been considered in a fuzzy environment. Triangular
More informationOn Neutrosophic α-supra Open Sets and Neutrosophic α-supra Continuous Functions
New Trends in Neutrosophic Theory and Applications. Volume II On Neutrosophic α-supra Open Sets and Neutrosophic α-supra Continuous Functions 1 R. Dhavaseelan, 2 M. Ganster, 3 S. Jafari and 4 M. Parimala
More informationAn EOQ model for weibull distribution deterioration with time-dependent cubic demand and backlogging
IOP Conference Series: Materials Science and Engineering PAPER OPEN ACCESS An EOQ model for weibull distribution deterioration with time-dependent cubic demand and backlogging To cite this article: G Santhi
More informationCHAPTER IX OPTIMIZATION OF INTEGRATED VENDOR-BUYER PRODUCTION INVENTORY MODEL WITH BACKORDERING WITH TRANSPORTATION COST IN AN UNCERTAIN ENVIRONMENT
CHAPTER IX OPTIMIZATION OF INTEGRATED VENDOR-BUYER PRODUCTION INVENTORY MODEL WITH BACKORDERING WITH TRANSPORTATION COST IN AN UNCERTAIN ENVIRONMENT This chapter develops an integrated single-vendor, single-uyer
More informationFuzzy Inventory Model for Deteriorating Items with Time Dependent Demand and Partial Backlogging
Applied Mathematics, 05, 6, 496-509 Published Online March 05 in SciRes. http://www.scirp.org/journal/am http://dx.doi.org/0.46/am.05.6047 Fuzzy Inventory Model for Deteriorating Items with ime Dependent
More information2. Assumptions and Notation
Volume 8 o. 08, 77-735 ISS: 34-3395 (on-line version) url: http://acadpubl.eu/hub ijpam.eu A IVETORY MODEL FOR DETERIORATIG ITEMS WITHI FIITE PLAIG HORIZO UDER THE EFFECT OF PERMISSIBLE DELAY AD PRESERVATIO
More informationPAijpam.eu ON FUZZY INVENTORY MODEL WITH ALLOWABLE SHORTAGE
International Journal of Pure and Applied Mathematics Volume 99 No. 205, 5-7 ISSN: 3-8080 (printed version; ISSN: 34-3395 (on-line version url: http://www.ijpam.eu doi: http://dx.doi.org/0.2732/ijpam.v99i.
More informationSHORTEST PATH PROBLEM BY MINIMAL SPANNING TREE ALGORITHM USING BIPOLAR NEUTROSOPHIC NUMBERS
SHORTEST PATH PROBLEM BY MINIMAL SPANNING TREE ALGORITHM USING BIPOLAR NEUTROSOPHIC NUMBERS M. Mullaia, S. Broumib, A. Stephenc a Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.
More informationFuzzy Inventory Control Problem With Weibull Deterioration Rate and Logarithmic Demand Rate
Volume 7 No. 07, 5-44 ISSN: -8080 (printed version); ISSN: 4-95 (on-line version) url: http://www.ijpam.eu ijpam.eu Fuzzy Inventory Control Problem With Weibull Deterioration Rate and Logarithmic Demand
More informationAn EOQ Model with Certain Uncertainties When Payment Periods are Offered
International Journal of Computational and Applied Mathematics. ISSN 1819-4966 Volume 12, Number 2 (217), pp. 365-389 Research India Publications http://www.ripublication.com An EOQ Model with Certain
More informationResearch Article A Partial Backlogging Inventory Model for Deteriorating Items with Fluctuating Selling Price and Purchasing Cost
Advances in Operations Research Volume 2012, Article ID 385371, 15 pages doi:10.1155/2012/385371 Research Article A Partial Backlogging Inventory Model for Deteriorating Items with Fluctuating Selling
More informationEOQ Model for Weibull Deteriorating Items with Linear Demand under Permissable Delay in Payments
International Journal of Computational Science and Mathematics. ISSN 0974-389 Volume 4, Number 3 (0), pp. 75-85 International Research Publication House http://www.irphouse.com EOQ Model for Weibull Deteriorating
More informationAN EOQ MODEL FOR TWO-WAREHOUSE WITH DETERIORATING ITEMS, PERIODIC TIME DEPENDENT DEMAND AND SHORTAGES
IJMS, Vol., No. 3-4, (July-December 0), pp. 379-39 Serials Publications ISSN: 097-754X AN EOQ MODEL FOR TWO-WAREHOUSE WITH DETERIORATING ITEMS, PERIODIC TIME DEPENDENT DEMAND AND SHORTAGES Karabi Dutta
More informationFuzzy Inventory Model for Imperfect Quality Items with Shortages
Annals of Pure and Applied Mathematics Vol. 4, No., 03, 7-37 ISSN: 79-087X (P), 79-0888(online) Published on 0 October 03 www.researchmathsci.org Annals of Fuzzy Inventory Model for Imperfect Quality Items
More informationAPPLYING SIGNED DISTANCE METHOD FOR FUZZY INVENTORY WITHOUT BACKORDER. Huey-Ming Lee 1 and Lily Lin 2 1 Department of Information Management
International Journal of Innovative Computing, Information and Control ICIC International c 2011 ISSN 1349-4198 Volume 7, Number 6, June 2011 pp. 3523 3531 APPLYING SIGNED DISTANCE METHOD FOR FUZZY INVENTORY
More informationAn Inventory Model for Gompertz Distribution Deterioration Rate with Ramp Type Demand Rate and Shortages
International Journal of Statistics and Systems ISSN 0973-675 Volume, Number (07), pp. 363-373 Research India Publications http://www.ripublication.com An Inventory Model for Gompertz Distribution Deterioration
More informationProduction Inventory Model with Different Deterioration Rates Under Linear Demand
IOSR Journal of Engineering (IOSRJEN) ISSN (e): 50-0, ISSN (p): 78-879 Vol. 06, Issue 0 (February. 06), V PP 7-75 www.iosrjen.org Production Inventory Model with Different Deterioration Rates Under Linear
More informationCHAPTER-3 MULTI-OBJECTIVE SUPPLY CHAIN NETWORK PROBLEM
CHAPTER-3 MULTI-OBJECTIVE SUPPLY CHAIN NETWORK PROBLEM 3.1 Introduction A supply chain consists of parties involved, directly or indirectly, in fulfilling customer s request. The supply chain includes
More information7.1 INTRODUCTION. In this era of extreme competition, each subsystem in different
7.1 INTRODUCTION In this era of extreme competition, each subsystem in different echelons of integrated model thrives to improve their operations, reduce costs and increase profitability. Currently, the
More informationReplenishment Planning for Stochastic Inventory System with Shortage Cost
Replenishment Planning for Stochastic Inventory System with Shortage Cost Roberto Rossi UCC, Ireland S. Armagan Tarim HU, Turkey Brahim Hnich IUE, Turkey Steven Prestwich UCC, Ireland Inventory Control
More informationA Non-Random Optimization Approach to a Disposal Mechanism Under Flexibility and Reliability Criteria
The Open Operational Research Journal, 2011, 5, 1-18 1 Open Access A Non-Random Optimization Approach to a Disposal echanism Under Flexibility and Reliability Criteria P.K. Tripathy 1 and. Pattnaik *,2
More informationMixture inventory model in fuzzy demand with controllable lead time
Mixture inventory model in fuzzy demand with controllable lead time Jason Chao-Hsien Pan Department of Industrial Management National Taiwan University of Science and Technology Taipei 106 Taiwan R.O.C.
More informationBuyer - Vendor incentive inventory model with fixed lifetime product with fixed and linear back orders
National Journal on Advances in Computing & Management Vol. 5 No. 1 April 014 1 Buyer - Vendor incentive inventory model with fixed lifetime product with fixed and linear back orders M.Ravithammal 1 R.
More informationCoordinated Replenishments at a Single Stocking Point
Chapter 11 Coordinated Replenishments at a Single Stocking Point 11.1 Advantages and Disadvantages of Coordination Advantages of Coordination 1. Savings on unit purchase costs.. Savings on unit transportation
More informationAn application of fuzzy set theory for supply chain coordination
ISSN 1750-9653, England, UK International Journal of Management Science and Engineering Management Vol. 3 (2008) No. 1, pp. 19-32 An application of fuzzy set theory for supply chain coordination Santanu
More informationNeutrosophic Integer Programming Problem
Neutrosophic Sets and Systems, Vol. 15, 2017 3 University of New Mexico Neutrosophic Integer Programming Problem Mai Mohamed 1, Mohamed Abdel-Basset 1, Abdel Nasser H Zaied 2 and Florentin Smarandache
More informationDETERMINATION OF OPTIMAL ORDER QUANTITY OF INTEGRATED AN INVENTORY MODEL USING YAGER RANKING METHOD
International Journal of Physics and Mathematical Sciences ISSN: 77- (Online) An Online International Journal Aailale at http://www.citech.org/jpms.htm 03 Vol. 3 () January-March, pp.73-80/ritha and SSA
More informationSpanning Tree Problem with Neutrosophic Edge Weights
Available online at www.sciencedirect.com ScienceDirect Procedia Computer Science 00 (08) 000 000 www.elsevier.com/locate/procedia The First International Conference On Intelligent Computing in Data Sciences
More informationMaximum-Profit Inventory Model with Stock-Dependent Demand, Time-Dependent Holding Cost, and All-Units Quantity Discounts
Mathematical Modelling and Analysis Publisher: Taylor&Francis and VGTU Volume 20 Number 6, November 2015, 715 736 http://www.tandfonline.com/tmma http://dx.doi.org/10.3846/13926292.2015.1108936 ISSN: 1392-6292
More informationResearch Article A Deterministic Inventory Model of Deteriorating Items with Two Rates of Production, Shortages, and Variable Production Cycle
International Scholarly Research Network ISRN Applied Mathematics Volume 011, Article ID 657464, 16 pages doi:10.540/011/657464 Research Article A Deterministic Inventory Model of Deteriorating Items with
More informationFUZZY CONTINUOUS REVIEW INVENTORY MODEL WITHOUT BACKORDER FOR DETERIORATING ITEMS. Ajanta Roy *, G.P. Samanta
Electronic Journal of Applied Statistical Analysis EJASA, Electron. J. App. Stat. Anal. Vol., Issue 1 (9), 58 66 ISSN 7-5948, DOI 1.185/i75948vn1p58 8 Università del Salento SIBA http://siba-ese.unile.it/index.php/ejasa/index
More informationAn Optimal Rotational Cyclic Policy for a Supply Chain System with Imperfect Matching Inventory and JIT Delivery
Proceedings of the 010 International onference on Industrial Engineering and Operations Management Dhaa, Bangladesh, January 9 10, 010 An Optimal Rotational yclic Policy for a Supply hain System with Imperfect
More informationRetailer s Optimal Ordering Policy for Deteriorating Items with Ramp-Type Demand under Stock-Dependent Consumption Rate
Information and Management Sciences Volume 19, Number 2, pp. 245-262, 28 Retailer s Optimal Ordering Policy for Deteriorating Items with Ramp-Type Demand under Stock-Dependent Consumption Rate Kun-Shan
More informationA Scientific Decision Framework for Supplier Selection under Neutrosophic Moora Environment
II A Scientific Decision Framework for Supplier Selection under Neutrosophic Moora Environment Abduallah Gamal 1* Mahmoud Ismail 2 Florentin Smarandache 3 1 Department of Operations Research, Faculty of
More informationAn Alternative Fuzzy EOQ Model with Backlogging for Selling Price and Promotional Effort Sensitive Demand
Int. J. Appl. Comput. Math (2015) 1:69 86 DOI 10.1007/s40819-014-0010-x ORIGINA PAPER An Alternative Fuzzy EOQ Model with Backlogging for Selling Price and Promotional Effort Sensitive Demand Sujit Kumar
More informationII. LITERATURE SURVEY
Fuzzy Inventory Model with Shortages under Fully Backlogged Using Signed Distance Method S.K. Indrajitsingha 1, P.N. Samanta, U.K. Misra 3 1 DST INSPIRE Fellow 1, P.G Department of Mathematics, Berhampur
More informationA New Approach for Optimization of Real Life Transportation Problem in Neutrosophic Environment
1 A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic Environment A.Thamaraiselvi 1, R.Santhi 2 Department of Mathematics, NGM College, Pollachi, Tamil Nadu-642001, India
More informationEOQ Model For Deteriorating Items Under Two And Three Parameter Weibull Distribution And Constant IHC With Partially Backlogged Shortages
International Journal of Science, Engineering and Technology Research (IJSETR), Volume 4, Issue 0, October 205 EOQ Model For Deteriorating Items Under Two And Three Parameter Weibull Distribution And Constant
More informationOptimal production lots for items with imperfect production and screening processes without using derivatives
7 Int. J. anagement and Enterprise Development, Vol. 4, No., 05 Optimal production lots for items with imperfect production and screening processes without using derivatives Hui-ing Teng Department of
More informationEffect of repair cost on the rework decision-making in an economic production quantity model
Effect of repair cost on the rework decision-making in an economic production quantity model Singa Wang Chiu Department of Business Administration Chaoyang University of Technology 68, Gifeng E. Rd. Wufeng,
More informationSection 1.3: A Simple Inventory System
Section 1.3: A Simple Inventory System Discrete-Event Simulation: A First Course c 2006 Pearson Ed., Inc. 0-13-142917-5 Discrete-Event Simulation: A First Course Section 1.3: A Simple Inventory System
More informationCost-Effective Optimization on a Two Demand Classes Inventory System
Int J Appl Comput Math (06) :57 73 DOI 0007/s4089-05-0046-6 ORIGINAL PAPER Cost-Effective Optimization on a Two Demand Classes Inventory ystem Raj Kumar Malligarjunan Published online: 9 March 05 pringer
More informationA Multi-Item Inventory Control Model for Perishable Items with Two Shelves
The Eighth International Symposium on Operations Research and Its Applications (ISORA 9) Zhangjiajie, China, September 2 22, 29 Copyright 29 ORSC & APORC, pp. 36 314 A Multi-Item Inventory Control Model
More informationROUGH NEUTROSOPHIC SETS. Said Broumi. Florentin Smarandache. Mamoni Dhar. 1. Introduction
italian journal of pure and applied mathematics n. 32 2014 (493 502) 493 ROUGH NEUTROSOPHIC SETS Said Broumi Faculty of Arts and Humanities Hay El Baraka Ben M sik Casablanca B.P. 7951 Hassan II University
More informationAn Integrated Just-In-Time Inventory System with Stock-Dependent Demand
BULLETIN of the MALAYSIAN MATHEMATICAL SCIENCES SOCIETY http:/math.usm.my/bulletin Bull. Malays. Math. Sci. Soc. (2) 37(4) (2014), 1085 1097 An Integrated Just-In-Time Inventory System with Stock-Dependent
More informationInventory Management of Time Dependent. Deteriorating Items with Salvage Value
Applied Mathematical Sciences, Vol., 008, no. 16, 79-798 Inventory Management of ime Dependent Deteriorating Items with Salvage Value Poonam Mishra and Nita H. Shah* Department of Mathematics, Gujarat
More informationCOMPUTATION OF SHORTEST PATH PROBLEM IN A NETWORK
COMPUTATION OF SHORTEST PATH PROBLEM IN A NETWORK WITH SV-TRIANGULAR NEUTROSOPHIC NUMBERS Florentin Smarandache Department of Mathematics, University of New Mexico,705 Gurley Avenue, fsmarandache@gmail.com
More informationNeutrosophic Integer Programming Problems
III Neutrosophic Integer Programming Problems Mohamed Abdel-Baset *1 Mai Mohamed 1 Abdel-Nasser Hessian 2 Florentin Smarandache 3 1Department of Operations Research, Faculty of Computers and Informatics,
More informationAn EOQ Model with Time Dependent Weibull Deterioration, Quadratic Demand and Partial Backlogging
Int. J. Appl. Comput. Math (06) :545 56 DOI 0.007/s4089-05-0077-z ORIGINAL PAPER An EOQ Model with Time Dependent Weibull Deterioration, Quadratic Demand and Partial Backlogging Umakanta Mishra Published
More informationAn EPQ Model of Deteriorating Items using Three Parameter Weibull Distribution with Constant Production Rate and Time Varying Holding Cost"
An EPQ Model of Deteriorating Items using Three Parameter Weibull Distribution with Constant Production Rate and Time Varying Holding Cost" KIRTAN PARMAR, U. B. GOTHI Abstract - In this paper, we have
More informationRough Neutrosophic Digraphs with Application
axioms Article Rough Neutrosophic Digraphs with Application Sidra Sayed 1 Nabeela Ishfaq 1 Muhammad Akram 1 * ID and Florentin Smarandache 2 ID 1 Department of Mathematics University of the Punjab New
More informationA Two-Warehouse Inventory Model with Imperfect Quality and Inspection Errors
esearch Journal of Applied Sciences, Engineering and Technolog 4(0): 3896-3904, 0 ISSN: 040-7467 Maell Scientific Organization, 0 Submitted: ecember 8, 0 Accepted: April 3, 0 Published: October 5, 0 A
More informationProduction Planning and Control
Production Planning and Control MAERIAL REQUIREMEN PLANNING Haeryip Sihombing BMFP 453 4 Universiti eknikal Malaysia Melaka (UeM) HAERY SIHOMBING First widely available software implementation of a manufacturing
More informationChapter 2 Analysis of Pull Postponement by EOQ-based Models
Chapter 2 Analysis of Pull Postponement by EOQ-based Models A number of quantitative models for analyzing postponement based upon cost and time evaluation have been discussed in the literature. Most of
More informationInternational Journal of Industrial Engineering Computations
International Journal of Industrial Engineering Computations 5 (4) 7 38 Contents lists available at GrowingScience International Journal of Industrial Engineering Computations homepage: www.growingscience.com/ijiec
More informationNeutrosophic Linear Fractional Programming Problems
Neutrosophic Linear Fractional Programming Problems Excerpt from NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I. Editors: Prof. Florentin Smarandache, Dr. Mohamed Abdel-Basset, Dr. Yongquan Zhou. Foreword
More informationA Fuzzy Logic Multi-Criteria Decision Approach for Vendor Selection Manufacturing System
Vol.2, Issue.6, Nov-Dec. 22 pp-489-494 ISSN: 2249-6645 A Fuzzy Logic Multi-Criteria Decision Approach for Vendor Selection Manufacturing System Harish Kumar Sharma National Institute of Technology, Durgapur
More informationOptimal lot sizing for deteriorating items with expiration date
Optimal lot sizing for deteriorating items with expiration date Ping-Hui Hsu 1 Hui Ming Wee Hui-Ming Teng 3 1, Department of Industrial Engineering Chung Yuan Christian University Chungli Taiwan R.O.C.
More informationMulti-attribute Group decision Making Based on Expected Value of Neutrosophic Trapezoidal Numbers
New Trends in Neutrosophic Theory and Applications. Volume II Multi-attribute Group decision Making Based on Expected Value of Neutrosophic Trapezoidal Numbers Pranab Biswas 1 Surapati Pramanik 2 Bibhas
More informationStochastic inventory system with two types of services
Int. J. Adv. Appl. Math. and Mech. 2() (204) 20-27 ISSN: 2347-2529 Available online at www.ijaamm.com International Journal of Advances in Applied Mathematics and Mechanics Stochastic inventory system
More informationBasic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology
eutrosophic Sets and Systems, Vol 7, 2015 18 Basic Structure of Some lasses of eutrosophic risp early Open Sets & Possible Application to GIS A A Salama Department of Mathematics and omputer Science, Faculty
More informationISyE 6201: Manufacturing Systems Instructor: Spyros Reveliotis Spring 2006 Solutions to Homework 1
ISyE 601: Manufacturing Systems Instructor: Spyros Reveliotis Spring 006 Solutions to Homework 1 A. Chapter, Problem 4. (a) D = 60 units/wk 5 wk/yr = 310 units/yr h = ic = 0.5/yr $0.0 = $0.005/ yr A =
More informationFlexible Setup Cost and Deterioration of Products in a Supply Chain Model
Int. J. Appl. Comput. Math (2016) 2:25 40 DOI 10.1007/s40819-015-0045-7 OIGINAL AE Flexible Setup Cost and Deterioration of roducts in a Supply Chain Model Biswajit Sarkar 1 Bimal Kumar Sett 2 Gargi oy
More informationLinear Programming. Formulating and solving large problems. H. R. Alvarez A., Ph. D. 1
Linear Programming Formulating and solving large problems http://academia.utp.ac.pa/humberto-alvarez H. R. Alvarez A., Ph. D. 1 Recalling some concepts As said, LP is concerned with the optimization of
More informationA Comparative Study Between Inventory Followed by Shortages and Shortages Followed by Inventory Under Trade-Credit Policy
Int. J. Appl. Comput. Math 05 :399 46 DOI 0.007/s4089-05-004-z ORIGINAL PAPER A Comparative Study Between Inventory Followed by Shortages Shortages Followed by Inventory Under Trade-Credit Policy S. Khanra
More informationResearch Article A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic Environment
Mathematical Problems in Engineering Volume 206 Article ID 5950747 9 pages http://dx.doi.org/0.55/206/5950747 Research Article A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic
More informationRough Neutrosophic Sets
Neutrosophic Sets and Systems, Vol. 3, 2014 60 Rough Neutrosophic Sets Said Broumi 1, Florentin Smarandache 2 and Mamoni Dhar 3 1 Faculty of Arts and Humanities, Hay El Baraka Ben M'sik Casablanca B.P.
More informationResearch Article Fuzzy Constrained Probabilistic Inventory Models Depending on Trapezoidal Fuzzy Numbers
Fuzzy Systems Volume 2016, Article ID 3673267, 10 pages http://dx.doi.org/10.1155/2016/3673267 Research Article Fuzzy Constrained Probabilistic Inventory Models Depending on Trapezoidal Fuzzy Numbers Mona
More informationInternational Journal of Supply and Operations Management
International Journal of Supply and Operations Management IJSOM May 08, Volume 5, Issue, pp. 6-8 ISSN-Print: 8-59 ISSN-Online: 8-55 www.ijsom.com The Quadratic Approximation of an Inflationary Bi-objective
More informationThe Problem. Sustainability is an abstract concept that cannot be directly measured.
Measurement, Interpretation, and Assessment Applied Ecosystem Services, Inc. (Copyright c 2005 Applied Ecosystem Services, Inc.) The Problem is an abstract concept that cannot be directly measured. There
More informationResearch Article An EPQ Model for Deteriorating Production System and Items with Rework
athematical Problems in Engineering Volume 215, Article ID 95797, 1 pages http://dx.doi.org/1.1155/215/95797 Research Article An EPQ odel for Deteriorating Production System and Items with Rework. Li,
More informationAn Enhance PSO Based Approach for Solving Economical Ordered Quantity (EOQ) Problem
International OPEN ACCESS Journal Of Modern Engineering Research (IJMER) An Enhance PSO Based Approach for Solving Economical Ordered Quantity (EOQ) Problem Ashutosh Khare, Dr. B. B. Singh 2, Shalini khare
More informationFuzzy economic production in inventory model without shortage
Malaya J. Mat. S()(05) 449 45 Fuzzy economic production in inventory model without shortage D. Stephen Dinagar a, and J. Rajesh Kannan b a,b PG and Research Department of Mathematics, T.B.M.L. College,
More informationA Critical Path Problem Using Triangular Neutrosophic Number
A Critical Path Problem Using Triangular Neutrosophic Number Excerpt from NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I. Editors: Prof. Florentin Smarandache, Dr. Mohamed Abdel-Basset, Dr. Yongquan Zhou.
More informationTHE COMPLETE SOLUTION PROCEDURE FOR THE FUZZY EOQ INVENTORY MODEL WITH LINEAR AND FIXED BACK ORDER COST
Aryabatta Journal of Matematics & Informatics Vol. 5, No., July-ec., 03, ISSN : 0975-739 Journal Impact Factor (0) : 0.93 THE COMPLETE SOLUTION PROCEURE FOR THE FUZZY EOQ INVENTORY MOEL WITH LINEAR AN
More informationThe Concept of Neutrosophic Less Than or Equal To: A New Insight in Unconstrained Geometric Programming
72 The Concept of Neutrosophic Less Than or Equal To: A New Insight in Unconstrained Geometric Programming Florentin Smarandache 1, Huda E. Khalid 2, Ahmed K. Essa 3, Mumtaz Ali 4 1 Department of Mathematics,
More informationAn Integrated Inventory Model with Geometric Shipment Policy and Trade-Credit Financing under Stochastic Lead Time
Volume 117 No. 1 017, 01-11 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu ijpam.eu An Integrated Inventory Model with Geometric Shipment Policy and Trade-Credit
More informationA Critical Path Problem in Neutrosophic Environment
A Critical Path Problem in Neutrosophic Environment Excerpt from NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I. Editors: Prof. Florentin Smarandache, Dr. Mohamed Abdel-Basset, Dr. Yongquan Zhou. Foreword
More informationBig Data Paradigm for Risk- Based Predictive Asset and Outage Management
Big Data Paradigm for Risk- Based Predictive Asset and Outage Management M. Kezunovic Life Fellow, IEEE Regents Professor Director, Smart Grid Center Texas A&M University Outline Problems to Solve and
More informationA New Concept of Matrix Algorithm for MST in Undirected Interval Valued Neutrosophic Graph
Editors: Prof. Florentin Smarandache Dr. Mohamed bdel-basset Dr. Victor Chang III New Concept of Matrix lgorithm for MST in Undirected Interval Valued Neutrosophic Graph Said Broumi 1* ssia Bakali 2 Mohamed
More informationElsevier Editorial System(tm) for International Journal of Production Economics Manuscript Draft
Elsevier Editorial System(tm) for International Journal of Production Economics Manuscript Draft Manuscript Number: IJPE-D-1-0 Title: Cooperative Grey Games and An Application on Economic Order Quantity
More informationIntegrating Quality and Inspection for the Optimal Lot-sizing Problem with Rework, Minimal Repair and Inspection Time
Proceedings of the 2011 International Conference on Industrial Engineering and Operations Management Kuala Lumpur, Malaysia, January 22 24, 2011 Integrating Quality and Inspection for the Optimal Lot-sizing
More informationFinite mathematics & Applied calculus
1. Let A = 2 2 3 0 5 6, B = 1 1 0 1 Finite mathematics & Applied calculus, C = 1 0 1 1 0 1, D = 3 2 1 1 2 3 undefined. A + B =. Evaluate each of the following expressions, if it is defined. If an expression
More information2 Functions and Their
CHAPTER Functions and Their Applications Chapter Outline Introduction The Concept of a Function Types of Functions Roots (Zeros) of a Function Some Useful Functions in Business and Economics Equilibrium
More informationExpected Time Delay in Multi-Item Inventory Systems with Correlated Demands
Expected Time Delay in Multi-Item Inventory Systems with Correlated Demands Rachel Q. Zhang Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, Michigan 48109 Received
More informationDecision Science Letters
Decision Science Letters 5 (2016) 45 60 Contents lists available at GrowingScience Decision Science Letters homepage: www.growingscience.com/dsl Credit financing for deteriorating imperfect quality items
More informationA Two-Warehouse Inventory Model with Quantity Discounts and Maintenance Actions under Imperfect Production Processes
Appl. Math. Inf. Sci. 9, No. 5, 493-505 (015) 493 Applied Mathematics & Information Sciences An International Journal http://dx.doi.org/10.1785/amis/090533 A Two-Warehouse Inventory Model with Quantity
More informationResearch Article International Journals of Advanced Research in Computer Science and Software Engineering ISSN: X (Volume-7, Issue-6)
International Journals of Advanced Research in Computer Science and Software Engineering ISSN: 77-8X (Volume-7, Issue-6) Research Article June 07 A Fuzzy Inventory Model having Exponential Demand with
More informationDecision Sciences, Vol. 5, No. 1 (January 1974)
Decision Sciences, Vol. 5, No. 1 (January 1974) A PRESENT VALUE FORMULATION OF THE CLASSICAL EOQ PROBLEM* Robert R. Trippi, California State University-San Diego Donald E. Lewin, Joslyn Manufacturing and
More informationResearch Article An Optimal Returned Policy for a Reverse Logistics Inventory Model with Backorders
Advances in Decision Sciences Volume 212, Article ID 386598, 21 pages doi:1.1155/212/386598 Research Article An Optimal Returned Policy for a Reverse Logistics Inventory Model with Backorders S. R. Singh
More informationUsing Neutrosophic Sets to Obtain PERT Three-Times Estimates in Project Management
Using Neutrosophic Sets to Obtain PERT Three-Times Estimates in Project Management Mai Mohamed 1* Department of Operations Research Faculty of Computers and Informatics Zagazig University Sharqiyah Egypt
More informationStudy of Memory Effect in an Inventory Model. with Quadratic Type Demand Rate and. Salvage Value
Applied Mathematical Sciences, Vol., 09, no. 5, 09 - HIKARI Ltd, www.m-hikari.com https://doi.org/0.988/ams.09.9 Study of Memory Effect in an Inventory Model with Quadratic Type Demand Rate and Salvage
More informationAn EOQ Model with Temporary Stock Dependent Demand with Random Lag
International Journal of Computer Science & Communication Vol. 1, No., July-December 010, pp. 43-47 An EOQ Model with Temporary Stock Dependent Demand with Random Lag P.S.R.K.Prasad 1 & K.V.S.Sarma 1 Narayana
More informationNeutrosophic Sets, Project, Project Management, Gantt chart, CPM, PERT, Three-Time Estimate.
Using Neutrosophic Sets to Obtain PERT Three-Times Estimates in Project Management Excerpt from NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I. Editors: Prof. Florentin Smarandache, Dr. Mohamed Abdel-Basset,
More informationAn Inventory Model for Time Dependent Deteriorating Items and Holding Cost under Inflations When Vendor Credits To Order Quantity
International Journal of Engineering Research and Development e-issn: 78-07X, p-issn: 78-800X, www.ijerd.com Volume 5, Issue 1 (February 013), PP. 01-09 An Inventory Model for ime Dependent Deteriorating
More informationOn the Convexity of Discrete (r, Q) and (s, T ) Inventory Systems
On the Convexity of Discrete r, Q and s, T Inventory Systems Jing-Sheng Song Mingzheng Wang Hanqin Zhang The Fuqua School of Business, Duke University, Durham, NC 27708, USA Dalian University of Technology,
More informationInternational Journal of Mathematical Archive-7(2), 2016, Available online through ISSN
International Journal of Mathematical Archive-7(2), 2016, 75-79 Available online through www.ijma.info ISSN 2229 5046 FORECASTING MODEL BASED ON FUZZY TIME SERIES WITH FIRST ORDER DIFFERENCING ANIL GOTMARE*
More informationPREPARED BY: INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad
INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad - 500 043 PREPARED BY: A. SOMAIAH, ASST. PROFESSOR T. VANAJA, ASST. PROFESSOR DEPT. OF MECHANICAL ENGINEERING 1 Syllabus UNIT-I Development
More information