Reconfiguration Cost Analysis Based on PetriNet for Manufacturing System

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1 J Sofwre Engineering & Applicions, 29, 2: doi:14236/jse Pulished Online Decemer 29 (hp://wwwscirporg/journl/jse) 361 Reconfigurion Cos Anlysis Bsed on PeriNe for nufcuring Sysem Jie CHEN 1, Lingwei ZHANG 1, Jinqing LUO 2 1 School of Economic & ngemen, Nnjing Universiy of Science & Technology, Chin; 2 School of Business Adminisrion, Jing Su Universiy, Zhenjing, Chin Emil: Jie_chen163@163com Received Augus 7 h, 29; revised Augus 27 h, 29; cceped Sepemer 16 h, 29 ABSTRACT Nowdys, mnufcurers re fced wih severe chllenges o response rpidly o chnging demnds nd mee vrious cusomers needs wih respec o producion volume nd producrofile Reconfigurle mnufcuring prdigm ws proposed s n dvnced mnufcuring philosophy o enhnce he dpiliy nd flexiiliy of mnufcuring sysems By physicl nd logicl reconfigurion, Reconfigurle nufcuring Sysem (RS) is le o fulfil cusomers needs in cos-effecive wy y mking full use of he resources currenly ville This pper focuses on sudying of reconfigurion cos of such sysems In his pper, DEDS modelling mehod Peri Ne is used o consruc he model for reconfigurion process of RS which includes physicl reconfigurion cos fcors nd conjuncion mrix is used o descrie he producion processes By highlighing he differences in he process se efore nd fer reconfigurion, he reconfigurion principles hve een proposed o descrie nd guide he process of he mnufcuring sysem reconfigurion The simulion exmple is given o prove he vlidion of he proposed model Keywords: Reconfigurle nufcuring Sysem, Peri Ne, Reconfigurion Cos, Process Se, Conjuncion rix 1 Inroducion In glolly compeiive mrke for producs, mnufcurers re fced wih n incresing need o improve heir flexiiliy, reliiliy, nd responsiveness o mee he demnds of heir cusomers Reconfigurle nufcuring Sysems (RS) hve ecome n imporn mnufcuring prdigm, ecuse hey cn reconfigure heir cpciies o response he chnging environmen nd requiremens y providing chnged cpciies nd funcions low cos nd rpid ime [1] The concep of RS which ws inroduced y Y koren e l he Engineering Reserch Cenre of he Universiy of ichign (U) in he mid 199s, ws lised he firs one of he op 1 key echnologies for fuure mnufcuring indusry y NRC (Unied Ses Nionl Reserch Council) [2] RS my hve wo levels of reconfigurion: physicl reconfigurion nd logicl reconfigurion, including producion orgnizion, producs, processes, mnufcuring sysem or producion line, mchines nd he relevn informion sysem reconfigurion [3] The ousnding dvnge is is reconfigurion low cos nd rpid ime [4] Therefore, he reled reserch work is rich in lierure Our sudy is focused on he reconfigurion cos nlysis for mnufcuring sysem There re severl sudies reled o reconfigurion cos modelling of RS Some represenive cses re cied s follows: On he se of he evluion index sysem, some synheicl evluion mehods, such s Anlyicl Hierrchy Process (AHP) nd grey fuzzy, re proposed o evlue he ol performnce of RS [5 8] Some reserchers inroduce he Peri Ne o descrie he reconfigurion process of RS, nd ferwrds, pplied i ino he performnce ssessmen of he RS [1 13] Considering physicl reconfigurion cos nd he relevn logicl reconfigurion penly cos, he cos funcion of he model is uil up, nd Dynmic Progrmming (DP) pproch is mnipuled for he developmen of opiml cpciy plns [14] Considering he effecs of economicl fcor, slvge fcor nd ime-vlue fcor during he life-cycle, Ling gives n pproxime reconfigurion cos model nd he rend nlysis of he influenil fcors [15] The reserches menioned ove provide primry modelling nd nlysis frmework Bu, mos of hem only focus on he economicl evluion fcors or indexes of RS, however, he cos fcors clculion re eiher given quliively or esimed quniively wih lile relion o he sysem reconfigurion soluions Copyrigh 29 SciRes

2 362 Reconfigurion Cos Anlysis Bsed on PeriNe for nufcuring Sysem This pper only focuses on how o clcule he physicl reconfigurion cos which is produced y rerrnging he fciliies wih he chnged shop floor sk We ssume h he physicl reconfigurion cos only include he cos fcors which re produced y dding, elimining nd re-rrnging fciliies wihou considering relevn mngemen chnging cos In his pper, Peri Ne is used o consruc he model for reconfigurion process of RS which includes physicl reconfigurion cos fcors nd conjuncion mrix is used o descrie he producion processes By dividing nd differeniing he process se efore nd fer reconfigurion, he reconfigurion principles hve een descried in he model which cn e used o guide he process of he mnufcuring sysem reconfigurion s well The physicl reconfigurion cos of RS cn e clculed hrough summing up he cos of dding new equipmens, removing he originl ones nd re-rrnging hem y referring o grph heory nd liner lger knowledge reled Finlly, simulion cse sudy is presened o vlide he fesiiliy nd rionliy of he model, in which l simulion is used o oin reconfigurion cos 2 odelling o RS Reconfigurion Process Vi Peri Ne 21 Descripion of he Prolem Cos-effecive is one of he mos imporn chrcers of RS, wherey, he reconfigurion cos hs ecome significn fcor o evlue he performnce of RS However, here is no unified definiion of he reconfigurion cos up o now Some reserchers only consider he cos of one ime for sysem reconfigurion So he configurion cos is composed of physicl reconfigurion cos nd logicl reconfigurion cos [14] The ohers, such s Ling, poined h reconfigurion cos includes iniil invesmen, djusmen cos nd slvge during he whole life-cycle [15] As we know, he logicl reconfigurion cos cn no e defined quniively So, in his pper, we only consider mnufcuring sysem physicl reconfigurion cos, which refers o he cos which resuls from rerrnging he fciliies in shop floors We ssume h he physicl reconfigurion cos only include he cos fcors which re produced y dding, elimining nd re-rrnging fciliies in shop floors RS is ypicl Disriued Evens Dynmic Sysem (DEDS) As DEDS process modelling ool, Peri Ne cn descrie prllel, sequenil, synchronized nd conflicive process srucures precisely, which is populrly used o model mnufcuring sysems In his secion, we ke dvnges of Peri Ne o uild up he reconfigurion cos model in order o provide suppor for sysem reconfigurion soluion evluion Cominion wih he Peri Ne model in which cos is inroduced, he reconfigurion cos will e clculed y compring chnges occur on modelling elemens in he reconfigurion process The pper hs n insrucion funcion o opimize RS reconfigurion soluion, esides i cn provide reconfigurion cos d o suppor pprisemen of RS s well 22 Definiion of he Peri Ne odel Firsly, we define Peri Ne, which consiss of 6 elemens I cn e expressed s PN = (P,T,O,I,CA,CR), where: 1) P = {p 1,,p n } is finie plce se, corresponding o he equipmen se of mnufcuring sysem T={ 1,, n }is finie rnsiion se, corresponding o he process se of mnufcuring sysem Condiions PT nd P T should e sisfied 2) O is he oupu funcion, corresponding o oupu plce se of every rnsiion I is he inpu funcion, elemen of which is se eiher, corresponding o inpu plce se of every rnsiion 3) CA represens verge cos o insll new equipmen, while CR indices disssemle i 23 Assumed Condiions The model using Peri Ne o descrie reconfigurion process of RS is sed on hypohesis s follows: 1) Ech sge of he producion process corresponds o only one equipmen or mchine I shows h he sge of he process is execued y he designed equipmen 2) There is only one immedie successor civiy for ech sge of he producion process 3) A virul oupuor of he producion process c s he immedie successor civiy of he ls working procedure should e dded o he model 4) The producion process crries ou sricly in ccordnce wih he work procedure order 5) Only equipmen insllion, disssemly nd rerrnge o he originl equipmen will e involved in he reconfigurion process The equipmen rerrngemen cn e viewed s remove originl equipmen hen insll i ccording o new logic relionship 24 The Principle o Genere Bsic Peri Ne from Producion Process According o he chrcerizion of RS nd Peri Ne modelling mehod, we formule he principles which cn e used o genere sic Peri Ne from producion process of mnufcuring sysem They cn e concluded s follows: 1) Use conjuncion mrix o denoe producion process Assume h he producion process of mnufcuring sysem is denoed y direced grph G (,R), mong Copyrigh 29 SciRes

3 Reconfigurion Cos Anlysis Bsed on PeriNe for nufcuring Sysem 363 which is he verex se nd R is he edge se = {m 1,,m n } represens he producion sge in he process where n is sum of procedure R represens he conjuncion relionship of ll he working procedure in Then n-order phlnx A( G) ( i, j ) is clled he conjuncion mrix of G rix cn e used o descrie ove direced grph, mrix mus correspond o direced grph where node numer hs een mrked up Where i, j 1 mi poin omj ohers 2) Eslish mpping relionship f from verex se of G o rnsiion se T of PN, s T f( ) { 1, 2,, n } 3) Eslish mpping relionship O from rnsiion se T of PN o plce se P, s for T,we hve pi O( i) nd P O( T) p1,, pn 4) Sor he oupu funcion O (), T in ccordnce wih he process order in se o form row vecor O O( 1), O( 2),, O( n ) Ech elemen of he se O, O ( i ) is se eiher, mens he oupulce se of rnsiion i, which refers o equipmen 5) According o he formul I OA, n n-dimensionl row vecor I I( 1), I( 2),, I( n ) cn e derived Ech elemen of he se I, I( i ) is se eiher, mens he inpulce se of rnsiion i As for I ( i ), we cn define I( i ) p, ppv, hen deposi i ino plce se s n inpuor of he sysem 6) Lis he cos of dding new equipmen nd remove n originl one of ll he equipmen in ccordnce wih he process order in se s CA( CA1, CA2,, CA n ) nd CR( CR1, CR2,, CR n ) These wo vecors represen he cos of inslling nd disssemling equipmen respecively corresponding o he producion process 25 Reconfigurion Rules of he Bsic Peri Ne odel RS is le o mnufcure he pr fmilies he sme ime, which is configured o produce ech fmily differen volume o sisfy cusomer demnds The mnufcuring sysem S produces pr fmily efore reconfigurion, while S produce pr fmily fer reconfigurion The work flow chr of S cn e expressed s G(, R), he conjuncion mrix is A nd he Peri Ne model is PN( P, T, O, I, CA, CR) Correspondingly, he work flow chr of S is G(, R), he conjuncion mrix is A nd he Peri Ne model of S is PN( P, T, O, I, CA, CR ) Suppose h he mpping relionship from producion process se o rnsiion se T is f, which cn e expressed s T f( ), noher mpping relionship O is from rnsiion se o oupulce se O(T) Bsed on he symol definiions ove, we my formule he reconfigurion rules from sysem S o S s follows: 1) Divide he process se efore nd fer reconfigurion Assumed h he se (he se size is u) represens process se which hven een djused The se (he se size is v) represens process se dded in he reconfigurion process The se (he se size is w) represens process se removed in he reconfigurion process Then T f( ) represens rnsiion se in correspond wih process se which hven een djused nd P O( T ) represens he oupulce in correspond o T 2) PN inheris he rnsiion se nd inpu, oupulce se of PN, hen delee he inpulce of he sysem Suppose T is he rnsiion se of ccordingly, s for m we my hvet f ( ) T, ssume h P is he oupulce of T ccordingly, hen we hve P O( T ) P Wih regrd o T, we hve O() O() A he sme ime, regrding T, ecuse of he one-o-one mpping relionship eween process m nd rnsiion, we cn deermine unique process m f 1 () y Define column vecor V of which he row is he se of nd he column is m deermined y in he conjuncion mrix A(G), expressed s follows (), V is vecor I I (), ohers 3) Add he rnsiion se nd inpulce of + ino PN Suppose T is he rnsiion se of +, h is T f ( ), sed on he definiion of + nd he one-o-one mpping relionship f eween process nd rnsiion se, we hve T T, so we cn come o he conclusion h T T T Suppose P is he oupulce of T +, h is P O( T ), on he sis of he definiion of T nd he one-o-one mpping relionship O eween rnsiion se nd oupulce se, we hve P P, so we cn come o he conclusion h P O( T ) O( T ) Copyrigh 29 SciRes

4 364 Reconfigurion Cos Anlysis Bsed on PeriNe for nufcuring Sysem 4) Adjus he inpulce in ccordnce wih he rnsiion se of PN Then regenere new inpuor of he sysem Selec specific row nd column from A o consruc vecor C nd C s C Define C A ( ) A ( ) A( ) A( ) A( ) A( ) A E C E (1) 1 2 A E C (2) Assumed h he row of ( A A ) correspond o process m i while he column of i correspond o process m j We cn see from he rules of mrix operion h here re only 3 elemens {-1,, 1} in mrix ( A A ), in which 1 snds for cncelling he conjuncion from m i o m j, h is disssemle he equipmen corresponding wih process m i, mens here re no chnge eween m i nd m j, 1 represens dd new connecion from m i o m j, h is insll new equipmen corresponding wih process m i Where E E u uw E, E 2 E u uv, u E v w( uv) wu Ew 1 vu vw E u is u-dimensionl uni mrix, E v is v-dimensionl uni mrix, E w is w-dimensionl uni mrix, is zero mrix, he suscrip of which is he dimension of i Assumed h he row vecor O nd I 1 re, O O T O T O T (3) ( ), ( ), ( ) w (4) I1 I ( ),,, Where I() is u-dimensionl row vecor oined y soring I () ccording o he process order in for T Ech elemen in he se I () is se nd here re w empy ses in i From he Formul (1), (2), (3) nd (4) We my know h I2 I1 O( A A ) Assign he vlue of I 2 o I () which is he plce se corresponding wih rnsiion se in T y urns As for T, if I (), we define I () { p} ( p P, he inpu por of he sysem), hen keep i in he plce se 3 Clculion of he Reconfigurion Cos The RS reconfigurion process cn e relized y equipmen rerrngemen nd reuse or upde sysem nd susysem configurion in he originl scope of design According o he definiion of Peri Ne nd hypohesis o he model, ech equipmen hs is insllion cos CA nd disssemle cos CR (cos of he sysem oupuor is ) From he definiion of he elemens of ove mrix ( A A ), we my see which processes would e rerrnged, dded nd deleed, similrly, we cn see which equipmen would e inslled nd disssemled Suppose C AT is he ol cos of equipmen insllion in he reconfigurion process, iniilize CAT ke CA e he insllion cos of i h i equipmen Serch he processes in ccordnce wih i h equipmen in he mrix ( A A ), if me wih 1, le CAT CAT CA i, we my ge he ol cos of equipmen insllion y rversing ll he elemens of ( A A ) Similrly, suppose C RT is he ol cos of equipmen disssemle in he reconfigurion process, iniilize CRT ke CR e he disssemle cos of i h i equipmen Serch he processes in ccordnce wih i h equipmen in he mrix ( A A ), if me wih -1, le CR 总 CR总 CR i, we my ge he ol cos of equipmen disssemle y rversing ll he elemens of ( A A ) Thus, he ol cos in he reconfigurion process sed on he hypohesis ove is: CT CAT CR T We cn clcule C T y following seps: 1) Define (u+ v+ w)-y-(u+ v) mrix I, elemens of which re he squre of elemens in he mrix ( A A ) CAi CRi CAi CRi 2) Suppose pi, nd qi, 2 2 sor i nd q i y he elow order o form vecor G nd H respecively p1 q1 pu qu pu 1 qu 1 G H puv quv p uv1 quv 1 p uvw q uvw 3) Suppose ones(x, y) is 2-dimensionl mrix, row Copyrigh 29 SciRes

5 Reconfigurion Cos Anlysis Bsed on PeriNe for nufcuring Sysem 365 nd column numer of which is x nd y respecively The elemens of ones(x, y) re 1 Define he mrix operor * s muliply he elemens in he sme posiion of 2 mrix wih he sme rnk 4) Finlly, we cn oin he ol cos s: T u v w u w C C C J A 总 R 总 i, j i 1 j 1 (5) Where, J ( G H ) / 2* ones(1, u v)*( ones( u v w, u v)* I) ( G H )/2* ones(1, u v)*( A A) Ji, jis he i h row nd j h column elemen of mrix J 4 An Exmple Applicion A high-ech compny which produces luminium cld/ uncld srip nd shee for he exchnger in uomoive indusry is invesiged here The corporion, ypicl mke-o-order enerprise, would djus is process se nd process order ccording o differen cusomer requiremens The min equipmen of he compny could e summrized elow: meling furnce, cser mchine, homogenizing furnce, sw mchine, sclper mchine, polish mchine, cldding line, preheing furnce, ho-mill, nd cold-mill, nneling furnce, srech level mchine, high-guge slier nd cu-o-lengh mchine Aided-equipmenrovides cycle wer, elecriciy nd gs for he enire process, which we won ke ino ccoun in his cse Suppose he currenroducion specificion is S-ype he-sink, he work flow chr is shown s Figure 1 There re 13 procedures nd 9 sges in hroducion process, nd he process is refleced y he equipmen nme in he work flow chr I should e noed h virul work procedure sysem oupu ws involved in he producion process s he ls sge ccording o he hypohesis The sge 9 hs no corresponding equipmen nd he insllion nd disssemle cos re s well When he requiremens of order chnge o T-ype he-sink, he producion process mus e gered on he sis of he originl process, such s dd/remove some processes nd ler he process order h wouldn een djused I is jus like he reconfigurion process of RS There re 2 lerne soluions h cn fully sisfy he needs o he T-ype he-sink of he new order Ye he cos of he 2 soluions re so differen from ech oher, we should consider how o ge cos d using he model ove precisely nd hen compre he 2 soluions o selec economicl one Soluion 1 dds some new processes o he originl process like nneling furnce, cold mill2 nd cu-olengh mchine Polish mchine, cldding line nd highguge slier re removed There is some djusmen o he posiion of he homogenizing furnce eiher The work flow chr of soluion 1 cn e descried in Figure 2 Figure 1 Work flow chr of he originl sysem configurion Figure 2 Work flow chr of he Soluion 1 Copyrigh 29 SciRes

6 366 Reconfigurion Cos Anlysis Bsed on PeriNe for nufcuring Sysem Figure 3 Work flow chr of he Soluion 2 Tle 1 Codes of ech process m 1 eling furnce m 2 Cser mchine m 3 Homogenizing furnce m 4 Sw mchine m 5 Sclper mchine m 6 Polish mchine m 7 Cldding line m 8 Pre-heing furnce m 9 Ho-mill m 1 Cold-mill1 m 11 Srech Level m 12 High-guge slier m 13 Sysem Oupu m 14 Anneling furnce m 15 Cold-mill 2 m 16 Cu-o-lengh Figure 4 Conjuncion mrix of he originl mnufcuring sysem m1 m2 m3 m4 m5 m6 m7 T=f() O(T) p1 p2 p3 p4 p5 p6 p7 I(T) {pi1} {p1} {pi2} {p2, p3} {p4} {pi3} {p6} m8 m9 m1 m11 m12 m13 T=f() O(T) p8 p9 p1 p11 p12 p13 I(T) {p5, p7} {p8} {p9} {pi4} {p1,p11} {p1} Figure 5 Conjuncion mrix of he soluion 1 Wh soluion 2 dds o he originl process is jus he sme s soluion 1 Processes like sclper mchine, cold mill 1 nd high-guge slier re removed in he soluion 2 There is some djusmen o he posiion of he polish mchine s well We cn see he work flow chr in Figure 3 We cn model he reconfigurion process from he originl mnufcuring sysem o he soluion 1 using he mehod inroduced in Secion 2 Assumed h he originl mnufcuring sysem is, nd soluion 1 is The codes of ech process re summrized in Tle 1 1) From he work flow chr, we ge he conjuncion mrix G nd G, Where G is h of he originl mnufcuring sysem (See Figure 4), nd G is he conjuncion mrix of he reconfigured mnufcuring sysem ccording he soluion 1 (See Figure 5) 2) The Peri Ne model d of he mnufcuring sysem efore reconfigurion cn e seen in Tle 2 Tle 2 D of he Peri Ne efore reconfigurion m 1 m 2 m 3 m 4 m 5 m 6 m 7 T=f() O(T) p 1 p 2 p 3 p 4 p 5 p 6 p 7 I(T) {p i1 } {p 1 } {p i2 } {p 2,p 3 } {p 4 } {p i3 } {p 6 } m 8 m 9 m 1 m 11 m 12 m 13 T=f() O(T) p 8 p 9 p 1 p 11 p 12 p 13 I(T) {p 5,p 7 } {p 8 } {p 9 } {p i4 } {p 1,p 11 } {p 1 } Copyrigh 29 SciRes

7 Reconfigurion Cos Anlysis Bsed on PeriNe for nufcuring Sysem 367 p pi p4 5 p p12 13 p13 p i2 3 p3 p i3 6 p6 7 7 pi4 11 p11 Figure 6 The Peri Ne model efore reconfigurion Tle 3 D of he Peri Ne fer reconfigurion s per soluion 1 m1 m2 m3 m4 m5 m8 m9 T=f() O(T) p1 p2 p3 p4 p5 p8 p9 I(T) {pi1} {p1} {pi2} {p2} {p3,p4} {p5} {p8} m1 m11 m13 m14 m15 m16 T=f() O(T) p1 p11 p13 p14 p15 p16 I(T) {p9} {pi3} {p16} {pi4} {p1,p14} {p11,p15} p pi p p13 p i2 3 p3 p i4 14 p14 pi3 11 p11 Figure 7 The Peri Ne model fer reconfigurion s per soluion 1 Figure 8 rix ( A A ) oined y simulion The sic Peri Ne grph is shown s Figure 6 (See Figure 6) In he Figure 6, p i1, p i2, p i3, p i4 re he inpulces of he sysem, here re no limi o he cpciy of hem Th indices here could no e ny downime o he producion line cused y insufficien rw merils supplemen P 13 is he oupulce of he sysem Under some specific rules he rnsiions in he figure ove cn e roken down ino severl su-peri-nes, which cn e inegred o oher Peri Ne model of mnufcuring sysem 3) Compre he wo process se efore nd fer reconfigurion, we my know h { m, m, m, m, m, m, m, m, m, m }, { m, m, m } { m, m, m }, According o he reconfigurion rules, he Peri Ne model d of he mnufcuring sysem fer reconfigurion s per soluion 1 cn e seen in Tle 3 s follows: The sic Peri Ne grph is shown s Figure 7 (See Figure 7) 4) The mrix ( A A ) is ville from l simulion (See Figure 8) Copyrigh 29 SciRes

8 368 Reconfigurion Cos Anlysis Bsed on PeriNe for nufcuring Sysem Tle 4 Insllion nd disssemle cos in ccordnce wih producion process Insllion cos Disssemle cos m m m m m m m m m m 13 m m m m m m ) By genering rndom numers for simulion, we cn ge equipmen insllion nd disssemle cos in ove cse which is shown in Tle 4 (Equipmen codes re represened y process codes) rix J defined in Secion 25 ws clculed in he simulion procedure s shown in Figure 9 In he end, y Equion (5), we my know h he reconfigurion cos in he reconfigurion process from he originl mnufcuring sysem o soluion 1 is ; nd in he sme wy, we cn ge he reconfigurion cos of soluion 2 is Compring he wo resuls, we know h soluion 1 is eer 5 Conclusions Cos-effecive is one of he mos imporn chrcers of RS In his pper, model included wih reconfigurion cos is consruced o RS y uilizing DEDS modelling mehod Peri Ne in his pper By emphsizing differences in he process se efore nd fer reconfigurion, desirle reconfigurion rule hs een proposed o descrie he process of he mnufcuring sysem reconfigurion According o he mehod proposed in our sudy, we ke use of Peri Ne o simule nd clcule he physicl reconfigurion cos more deil nd excly ccording o concree reconfigurion soluion, rher hn jus giving he esimed vlue or quliive vlue And his poin is one of he mos imporn differences from he oher reserches In our curren sudy, we omi n imporn fcor ie he reconfigurion ime As we know, he reconfigurion ime should no e clculed simply y summing he cos of insll nd disssemle equipmen in he reconfigurion process like reconfigurion cos And in some cses, synchronized srucure in he reconfigurion process mus e ken ino ccoun For he fuure reserch, i is suggesed h he dvnced Peri Ne should e ken ino ccoun o coloured okens in he model Then proiliy vlue is needed o e he sndrd for work procedure o choose he nexrocedure in ccordnce wih he producion process As for reconfigurion ime of he consecuive srucure, we my compue i jus like he reconfigurion cos, neverheless, he ol ime dely s resul of choices nd synchronizion srucure in he reconfigurion Figure 9 rix J oined y l simulion Copyrigh 29 SciRes

9 Reconfigurion Cos Anlysis Bsed on PeriNe for nufcuring Sysem 369 process need furher sudy o elore how o involve reconfigurion ime ino he model nd clcule i 6 Acknowledgmens This work ws suppored y Nurl Science Foundion of Chin under Grn No nd No79312 REFERENCES [1] Y koren, U Heisel, T oriwki, G Prichow, H Vn- Brussel, nd G Ulsoy, A Reconfigurle nufcuring Sysems [C], Annls of he CIRP, Vol 48, No 2, 1999 [2] G ehri, A G Ulsoy, nd Y Korren, Reconfigurle mnufcuring sysems: Key o fuure mnufcuring [J], Journl of Inelligen nufcuring, Vol 11, pp , 2 [3] C E Wng, On he possiiliy of mnufcuring sysem reconfigurion [J], Compuer Inegred nufcuring Sysem, Vol 6, No 4, pp 1 5, 2 [4] F J Ling nd R X Nin, Reconfigurle nufcuring Sysem Theory [J], Chinese Journl of echnicl Engineering, Vol 39, No 6, pp 36-43, 23 [5] H Yun, D B Li, J Yu, nd K J Zhou, Reserch on evluion sysem for reconfigurle mnufcuring sysems [J], Chinese echnicl Engineering, Vol 18, No 7, pp , 27 [6] J P Dou, X Z Di, nd Z D ENG, Configurion selecion of reconfigurle mnufcuring sysem sed on hyrid nlyicl hierrchy process [J], Compuer Inegred nufcuring Sysem, Vol 13, No 7, pp , 27 [7] Z J Wu, R X Nin, nd A Wng, Grey Fuzzy Synheiclly Evluion ehod for RS Lyou Plnning [J], Chinese echnicl Engineering, Vol 18, No 19, pp , 27 [8] F F de Lmoe, Evluion of reconfigurle mnufcuring sysems configurions using olernce crieri [J], IEEE, pp , 26 [9] R Gln, J Rcero, I Egui, nd D Cnc, A mehodology for fciliing reconfigurion in mnufcuring: he move owrds reconfigurle mnufcuring sysems [J], Inernionl Journl of Advnced nufcuring Technology, Vol 33, pp , 27 [1] C H Kuo, Resource llocion nd performnce evluion of he reconfigurle mnufcuring sysems [C] Proceedings of he IEEE Inernionl Conference on Sysems, n nd Cyerneics, pp , 21 [11] Y T Ci, X D Yng, nd X Yn, Reconfigurion Algorihm for Reconfigurle nufcuring Sysem [J], Journl of Compuer Aided Design nd Grphics, Vol 15, No 2, pp , 23 [12] F Wng nd D Xu, e l, Peri NET modeling nd Anlyzing for RS [J], Conrolling nd Decision king, Vol 2, No 6, 25 [13] R Kumr, S Kumr, nd K Tiwri, An exper enhnced colored fuzzy Peri ne pproch o reconfigurle mnufcuring sysems involving informion delys [J], Inernionl Journl of Advnced nufcuring Technology, Vol 26, pp , 25 [14] A Deif nd W Elrghy, Effec of reconfigurion coss on plnning for cpciy scliliy in reconfigurle mnufcuring sysems [J], Inernionl Journl of Flexile nufcuring Sysem, Vol 18, pp , 26 [15] F J Ling nd R X Nin, Cos model for reconfigurle mnufcuring sysem [J], Chinese echnicl Engineering, Vol 14, No 23, pp , 23 Copyrigh 29 SciRes