Revised multi-choice goal programming for integrated supply chain design and dynamic virtual cell formation with fuzzy parameters

International Journal of Computer Integrated Manufacturing

Volumn 28, Issue 3, 2015, Pages 251-265

  Paydar, Mohammad Mahdi ^a   Saidi Mehrabad, Mohammad ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

multi choice goal programming; supply chain; virtual cell formation

Indexed keywords

CELLS; CYTOLOGY; LINEAR PROGRAMMING; MULTIOBJECTIVE OPTIMIZATION; SUPPLY CHAINS;

CONFLICTING OBJECTIVES; DYNAMIC ENVIRONMENTS; INTEGRATED SUPPLY CHAIN DESIGNS; MULTI-CHOICE GOAL PROGRAMMING; PLANNING HORIZONS; PROCUREMENT COSTS; PRODUCTION AND DISTRIBUTION PLANNING; VIRTUAL CELLS;

CELLULAR MANUFACTURING;

EID: 84916943735     PISSN: 0951192X     EISSN: 13623052     Source Type: Journal    
DOI: 10.1080/0951192X.2013.874596     Document Type: Article

References (62)

1. Ahkioon, S., A. A. Bulgak, and T. Bektas. 2009. Integrated Cellular Manufacturing Systems Design with Production Planning and Dynamic System Reconfiguration. European Journal of Operational Research 192 (2): 414-428.
2. Aouni, B., J. M. Mertel, and A. Hassaine. 2009. Fuzzy Goal Programming Model: An Overview of the Current State-ofthe Art. Journal of Multi-Criteria Decision Analysis 16 (5-6): 149-161.
3. Aramoon Bajestani, M., M. Rabbani, A. R. Rahimi-Vahed, and G. Baharian Khoshkhou. 2009. A Multi-Objective Scatter Search for a Dynamic Cell Formation Problem. Computers & Operations Research 36 (3): 777-794.
4. Babu, S., K. N. Nandurkar, and A. Thomas. 2000. Development of Virtual Cellular Manufacturing Systems for SMEs. Logistics Information Management 13 (4): 228-242.
5. Balakrishnan, J., and C. H. Cheng. 2007. Multi-Period Planning and Uncertainty Issues in Cellular Manufacturing: A Review and Future Directions. European Journal of Operational Research 177 (1): 281-309.
6. Burbidge, J. L. 1971. Production Flow Analysis. Production Engineer 50: 139-152.
7. Chang, C. T. 2007. Multi-Choice Goal Programming. Omega 35 (4): 389-396.
8. Chang, C. T. 2008. Revised Multi-Choice Goal Programming. Applied Mathematical Modelling 32 (12): 2587-2595.
9. Charnes, A., and W. W. Cooper. 1961. Management Models and Industrial Applications of Linear Programming, vol. 1. New York: John Wiley and Sons.
10. Da Silva, A. F., F. A. Silva Marins, and J. A. Barra Montevechi. 2013. Multi-Choice Mixed Integer Goal Programming Optimization for Real Problems in a Sugar and Ethanol Milling Company. Applied Mathematical Modelling 37 (9): 6146-6162.
11. Defersha, F. M., and M. Chen. 2006. A Comprehensive Mathematical Model for the Design of Cellular Manufacturing Systems. International Journal of Production Economics 103 (2): 767-783.
12. Defersha, F. M., and M. Chen. 2008. A Linear Programming Embedded Genetic Algorithm for an Integrated Cell Formation and Lot Sizing Considering Product Quality. European Journal of Operational Research 187 (1): 46-69.
13. Deljoo, V., S. M. J. Mirzapour Al-e-hashem, F. Deljoo, and M. B. Aryanezhad. 2010. Using Genetic Algorithm to Solve Dynamic Cell Formation Problem. Applied Mathematical Modelling 34 (4): 1078-1092.
14. Dubois, D., H. Fargier, and P. Fortemps. 2003. Fuzzy Scheduling: Modelling Flexible Constraints vs. Coping with Incomplete Knowledge. European Journal of Operational Research 147 (2): 231-252.
15. Ghotboddini, M. M., M. Rabbani, and H. Rahimian. 2011. A Comprehensive Dynamic Cell Formation Design: Benders Decomposition Approach. Expert Systems with Applications 38 (3): 2478-2488.
16. Heragu, S. S. 1994. Group Technology and Cellular Manufacturing. IEEE Transactions on Systems, Man and Cybernetics 24 (2): 203-214.
17. Ho, C. 1989. Evaluating the Impact of Operating Environments on MRP System Nervousness. International Journal of Production Research 27 (7): 1115-1135.
18. Inuiguchi, M., and J. Ramik. 2000. Possibilistic Linear Programming: A Brief Review of Fuzzy Mathematical Programming and a Comparison with Stochastic Programming in Portfolio Selection Problem. Fuzzy Sets and Systems 111 (1): 3-28.
19. Jimenez, M., M. Arenas, A. Bilbao, and M. V. Rodriguez. 2007. Linear Programming with Fuzzy Parameters: An Interactive Method Resolution. European Journal of Operational Research 177 (3): 1599-1609.
20. Jones, D. F., S. K. Mirrazavi, and M. Tamiz. 2002. Multi-Objective Meta-Heuristics: An Overview of the Current State-of-the-Art. European Journal of Operational Research 137 (1): 1-9.
21. Kabak, O., and F. Ülengin. 2011. Possibilistic Linear-Programming Approach for Supply Chain Networking Decisions. European Journal of Operational Research 209 (3): 253-264.
22. Kesen, S. E., M. D. Toksari, Z. Gungor, and E. Guner. 2009. Analyzing the Behaviors of Virtual Cells (VCs) and Traditional Manufacturing Systems: Ant Colony Optimization (ACO)-Based Metamodels. Computers & Operations Research 36 (7): 2275-2285.
23. Kia, R., A. Baboli, N. Javadian, R. Tavakkoli-Moghaddam, M. Kazemi, and J. Khorrami. 2012. Solving a Group Layout Design Model of a Dynamic Cellular Manufacturing System with Alternative Process Routings, Lot Splitting and Flexible Reconfiguration by Simulated Annealing. Computers & Operations Research 39 (11): 2642-2658.
24. Kumar, C., and M. Chandrasekharan. 1990. Grouping Efficacy: A Quantitative Criterion for Goodness of Block Diagonal Forms of Binary Matrices in Group Technology. International Journal of Production Research 28 (2): 233-243.
25. Kumar, M., P. Vrat, and R. Shankar. 2006. A Fuzzy Programming Approach for Vendor Selection Problem in a Supply Chain. International Journal of Production Economic 101 (2): 273-285.
26. Lai, Y. J., and C. L. Hwang. 1992. A New Approach to Some Possibilistic Linear Programming Problems. Fuzzy Sets and Systems 49 (2): 121-133.
27. Liang, F., R. Y. K. Fung, and Z. Jiang. 2011. Modelling Approach and Behavior Analysis of Manufacturing Resources in Virtual Cellular Manufacturing Systems Using Resource Element Concept. International Journal of Computer Integrated Manufacturing 24 (12): 1168-1182.
28. Liang, T. F. 2006. Distribution Planning Decisions Using Interactive Fuzzy Multi-Objective Linear Programming. Fuzzy Sets and Systems 157 (10): 1303-1316.
29. Liao, C. N., and H. P. Kao. 2010. Supplier Selection Model Using Taguchi Loss Function, Analytical Hierarchy Process and Multi-Choice Goal Programming. Computers & Industrial Engineering 58 (4): 571577.
30. Luhandjula, M. K. 1989. Fuzzy Optimization: An Appraisal. Fuzzy Sets and Systems 30 (3): 257-282.
31. Mahdavi, I., A. Aalaei, M. M. Paydar, and M. Solimanpur. 2010. Designing a Mathematical Model for Dynamic Cellular Manufacturing Systems Considering Production Planning and Worker Assignment. Computers and Mathematics with Applications 60 (4): 1014-1025.
32. Mahdavi, I., A. Aalaei, M. M. Paydar, and M. Solimanpur. 2011. Multi-Objective Cell Formation and Production Planning in Dynamic Virtual Cellular Manufacturing Systems. International Journal of Production Research 49 (21): 6517-6537.
33. Mak, K. L., X. X. Peng, and T. L. Lau. 2007. An Ant Colony Optimization Algorithm for Scheduling Virtual Cellular Manufacturing Systems. International Journal of Computer Integrated Manufacturing 20 (6): 524-537.
34. Melo, M. T., S. Nickel, and F. Saldanha-da-Gama. 2009. Facility Location and Supply Chain Management -A Review. European Journal of Operational Research 196 (2): 401-412.
35. Mitrofanov, S. P. 1966. The Scientific Principles of Group Technology. Boston, MA: National Lending Library Translation.
36. Montreuil, B., J. Drolet, and P. Lefrancois. 1992. The Design and Management of Virtual Cellular Manufacturing Systems. In American Production & Inventory Control Society Conference, 410-414, Montreal, QC, October 4-5.
37. Mula, J., R. Poler, and J. P. Garcia. 2006. MRP with Flexible Constraints: A Fuzzy Mathematical Programming Approach. Fuzzy Sets and Systems 157 (1): 74-97.
38. Nomden, G., J. Slomp, and N. C. Suresh. 2006. Virtual Manufacturing Cells: A Taxonomy of Past Research and Identification of Future Research. International Journal of Flexible Manufacturing Systems 17 (2): 71-92.
39. Noori-Darvish, S., I. Mahdavi, and N. Mahdavi-Amiri. 2012. A Bi-Objective Possibilistic Programming Model for Open Shop Scheduling Problems with Sequence-Dependent Setup Times, Fuzzy Processing Times, and Fuzzy Due Dates. Applied Soft Computing 12 (4): 1399-1416.
40. Paksoy, T., and C. T. Chang. 2010. Revised Multi-Choice Goal Programming for Multi-Period, Multi-Stage Inventory Controlled Supply Chain Model with Popup Stores in Guerrilla Marketing. Applied Mathematical Modelling 34 (11): 3586-3598.
41. Pan, F., and R. Nagi. 2010. Robust Supply Chain Design Under Uncertain Demand in Agile Manufacturing. Computers & Operations Research 37 (4): 668-683.
42. Paydar, M. M., and M. Saidi-Mehrabad. 2013. A Hybrid Genetic-Variable Neighborhood Search Algorithm for the Cell Formation Problem Based on Grouping Efficacy. Computers & Operations Research 40 (4): 980-990.
43. Paydar, M. M., M. Saidi-Mehrabad, and E. Teimoury. 2013. A Robust Optimisation Model for Generalised Cell Formation Problem Considering Machine Layout and Supplier Selection. International Journal of Computer Integrated Manufacturing. http://dx.doi.org/10.1080/ 0951192X.2013.834476.
44. Pillai, V. M., and K. Subbarao. 2008. A Robust Cellular Manufacturing System Design for Dynamic Part Population Using a Genetic Algorithm. International Journal of Production Research 46 (18): 51915210.
45. Pishvaee, M. R., and J. Jafar Razmi. 2012. Environmental Supply Chain Network Design Using Multi-Objective Fuzzy Mathematical Programming. Applied Mathematical Modelling 36 (8): 3433-3446.
46. Pishvaee, M. S., and S. A. Torabi. 2010. A Possibilistic Programming Approach for Closed-Loop Supply Chain Network Design Under Uncertainty. Fuzzy Sets and Systems 161 (20): 2668-2683.
47. Rafiee, K., M. Rabbani, H. Rafiei, and A. Rahimi-Vahed. 2011. A New Approach Towards Integrated Cell Formation and Inventory Lot Sizing in an Unreliable Cellular Manufacturing System. Applied Mathematical Modelling 35 (4): 1810-1819.
48. Rao, P. P., and R. P. Mohanty. 2003. Impact of Cellular Manufacturing on Supply Chain Management: Exploration of Interrelationships Between Design Issues. International Journal of Manufacturing Technology Management 5 (5/6): 507-520.
49. Rheault, M., J. Drolet, and G. Abdulnour. 1995. Physically Reconfigurable Virtual Cells: A Dynamic Model for a Highly Dynamic Environment. Computers & Industrial Engineering 29 (1-4): 221-225.
50. Safaei, N., M. Saidi-Mehrabad, and M. S. Jabal-Ameli. 2008. A Hybrid Simulated Annealing for Solving an Extended Model of Dynamic Cellular Manufacturing System. European Journal of Operational Research 185 (2): 563-592.
51. Safaei, N., and R. Tavakkoli-Moghaddam. 2009. An Extended Fuzzy Parametric Programming-Based Approach for Designing Cellular Manufacturing Systems Under Uncertainty and Dynamic Conditions. International Journal of Computer Integrated Manufacturing 22 (6): 538-548.
52. Sakiani, R., S. M. T. FatemiGhomi, and M. Zandieh. 2012. Multi-Objective Supply Planning for Two-Level Assembly Systems with Stochastic Lead Times. Computers & Operations Research 39 (7): 1325-1332.
53. Sarker, B. R., and Z. Li. 2001. Job Routing and Operations Scheduling: A Network-Based Virtual Cell Formation Approach. Journal of the Operational Research Society 52 (6): 673-681.
54. Saxena, L. K., and P. K. Jain. 2012. An Integrated Model of Dynamic Cellular Manufacturing and Supply Chain System Design. International Journal of Advanced Manufacturing Technology 62 (1-4): 385-404.
55. Schaller, J. 2008. Incorporating Cellular Manufacturing Into Supply Chain Design. International Journal of Production Research 46 (17): 4925-4945.
56. Selim, H., and I. Ozkarahan. 2008. A Supply Chain Distribution Network Design Model: An Interactive Fuzzy Goal Programming-Based Solution Approach. International Journal of Advanced Manufacturing Technology 36 (3-4): 401-418.
57. Slomp, J., B. V. Chowdary, and N. C. Suresh. 2005. Design of Virtual Manufacturing Cells: A Mathematical Programming Approach. Robotics and Computer Integrated Manufacturing 21 (3): 273-288.
58. Tamiz, M., D. Jones, and C. Romero. 1998. Goal Programming for Decision Making: An Overview of the Current State-ofthe-Art. European Journal of Operational Research 111 (3): 569-581.
59. Tanaka, H., and K. Asai. 1984. Fuzzy Linear Programming Problems with Fuzzy Numbers. Fuzzy Sets and Systems 13 (1): 1-10.
60. Torabi, S. A., and E. Hassini. 2008. An Interactive Possibilistic Programming Approach for Multiple Objective Supply Chain Master Planning. Fuzzy Sets and Systems 159 (2): 193-214.
61. Vakharia, A. J., J. P. Moily, and Y. Huang. 1999. Evaluating Virtual Cells and Multistage Flow Shops: An Analytical Approach. International Journal of Flexible Manufacturing Systems 11 (3): 291-314.
62. Wemmerlov, U., and N. L. Hyer. 1989. Cellular Manufacturing in the US Industry: A Survey of Users. International Journal of Production Research 27 (9): 1511-1530.