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    A fuzzy approach for sequencing interrelated activities in a DSM

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    Production and manufacturing systems often involve a myriad of interrelated activities. How these activities are organised and scheduled has a significant effect on the success of a system. Recently, the Design Structure Matrix (DSM) has been regarded as an effective tool for modelling and scheduling interrelated activities. Based on fuzzy set theory, this study explicitly addresses the uncertain activity dependencies in our formulation and develops a mathematical model for sequencing interrelated activities in a DSM. Because of the complexity of the model, a new approach, which embeds an exact algorithm within a framework of a local search heuristic, is presented for solving large problem instances. Testing results demonstrate that relatively good solutions can be easily obtained by our approach, thereby providing managers with an effective tool for scheduling a large number of interrelated activities with uncertain dependencies. © 2012 Copyright Taylor and Francis Group, LLC.Abdelsalam HME, 2006, IEEE T ENG MANAGE, V53, P69, DOI 10.1109-TEM.2005.861805; Ahmadi R, 2001, EUR J OPER RES, V130, P539, DOI 10.1016-S0377-2217(99)00412-9; Banerjee A, 2007, IIE TRANS, V39, P453, DOI 10.1080-07408170601180510; Browning TR, 2001, IEEE T ENG MANAGE, V48, P292, DOI 10.1109-17.946528; Chen CH, 2004, INT J PROD RES, V42, P4623, DOI 10.1080-00207540410001721727; Chen SJ, 2003, COMPUT IND ENG, V44, P435, DOI 10.1016-S0360-8352(02)00230-9; Debels D, 2007, OPER RES, V55, P457, DOI 10.1287-opre.1060.0358; Dubois D., 2000, FUNDAMENTALS FUZZY S; Dubois D, 2003, EUR J OPER RES, V147, P231, DOI 10.1016-S0377-2217(02)00558-1; EPPINGER SD, 1994, RES ENG DES, V6, P1, DOI 10.1007-BF01588087; Eppinger SD, 2001, HARVARD BUS REV, V79, P149; Fortemps P, 1996, FUZZY SET SYST, V82, P319, DOI 10.1016-0165-0114(95)00273-1; Guschinskaya O, 2008, EUR J OPER RES, V189, P902, DOI 10.1016-j.ejor.2006.03.072; Karniel A, 2009, IEEE T ENG MANAGE, V56, P636, DOI 10.1109-TEM.2009.2032032; Karniel A, 2005, COMPUT AIDED DESIGN, V37, P399, DOI 10.1016-j.cad.2004.06.015; KUSIAK A, 1993, INT J PROD RES, V31, P753, DOI 10.1080-00207549308956755; Lancaster J, 2008, INT J PROD RES, V46, P5043, DOI 10.1080-00207540701324176; Li D., 2006, NONLINEAR INTEGER PR; Lin J, 2009, EUR J OPER RES, V196, P1158, DOI 10.1016-j.ejor.2008.05.030; Lin J, 2010, EUR J OPER RES, V201, P737, DOI 10.1016-j.ejor.2009.03.040; Lin J, 2008, EUR J OPER RES, V185, P378, DOI 10.1016-j.ejor.2006.12.022; Luh DB, 2009, CONCURRENT ENG-RES A, V17, P43, DOI 10.1177-1063293X09102249; McCulley C, 1996, STRUCT OPTIMIZATION, V12, P186, DOI 10.1007-BF01196956; Meier C, 2007, J MECH DESIGN, V129, P566, DOI 10.1115-1.2717224; Palpant M, 2004, ANN OPER RES, V131, P237, DOI 10.1023-B:ANOR.0000039521.26237.62; Qian YJ, 2011, IEEE T ENG MANAGE, V58, P688, DOI 10.1109-TEM.2011.2107558; Rowles C. M., 1999, THESIS MIT; Shaja AS, 2010, RES ENG DES, V21, P173, DOI 10.1007-s00163-009-0082-5; Smith RP, 1997, MANAGE SCI, V43, P1104, DOI 10.1287-mnsc.43.8.1104; Smith RP, 1998, CONCURRENT ENG-RES A, V6, P15, DOI 10.1177-1063293X9800600103; Steward D. V., 1981, IEEE T ENG MANAGE, V49, P428; Tang DB, 2010, ADV ENG INFORM, V24, P159, DOI 10.1016-j.aei.2009.08.005; Tang DB, 2000, COMPUT IND ENG, V38, P479, DOI 10.1016-S0360-8352(00)00059-0; Tang DB, 2009, CONCURRENT ENG-RES A, V17, P129, DOI 10.1177-1063293X09105348; YAGER RR, 1981, INFORM SCIENCES, V24, P143, DOI 10.1016-0020-0255(81)90017-7; Yassine A, 2003, CONCURRENT ENG-RES A, V11, P165, DOI 10.1177-106329303034503; Zimmermann H.-J., 1996, FUZZY SET THEORY ITS32
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