Solving a new mathematical model for cellular manufacturing system: A fuzzy goal programming approach

A fuzzy goal programming-based approach is used to solve a proposed multi-objective linear programming model and simultaneously handle two important problems in cellular manufacturing systems, viz. cell formation and layout design. Considerations of intra-cell layout, the intra-cell material handling can be calculated exactly. The advantages of the proposed model are considering machining cost, inter-cell, intra-cell (forward and backward) material handling, operation sequence and resource constraints on the capacity of machines. To illustrate applicability of the proposed model, an example is solved and computational results are noted.

[1]  A. Vakharia,et al.  Cell formation in group technology: A combinatorial search approach , 1997 .

[2]  Sunderesh S. Heragu,et al.  Grouping and placement of machine cells , 1997 .

[3]  M. Tiwari,et al.  A fuzzy goal-programming model of machine-tool selection and operation allocation problem in FMS: a quick converging simulated annealing-based approach , 2006 .

[4]  Mingyuan Chen,et al.  A linear programming embedded genetic algorithm for an integrated cell formation and lot sizing considering product quality , 2008, Eur. J. Oper. Res..

[5]  Reza Tavakkoli-Moghaddam,et al.  Integrated multi-period cell formation and subcontracting production planning in dynamic cellular manufacturing systems , 2009 .

[6]  Masoud Rabbani,et al.  Solving a multi-objective mixed-model assembly line sequencing problem by a fuzzy goal programming approach , 2008 .

[7]  Pedro M. Vilarinho,et al.  A simulated annealing approach for manufacturing cell formation with multiple identical machines , 2003, Eur. J. Oper. Res..

[8]  Özgür Eski,et al.  Design of Manufacturing Cells for Uncertain Production Requirements with Presence of Routing Flexibility , 2009, ICIC.

[9]  Shine-Der Lee,et al.  A genetic-based algorithm with the optimal partition approach for the cell formation in bi-directional linear flow layout , 2004, Int. J. Comput. Integr. Manuf..

[10]  Wen-Hsien Tsai,et al.  A fuzzy goal programming approach for green supply chain optimisation under activity-based costing and performance evaluation with a value-chain structure , 2009 .

[11]  Teofilo F. Gonzalez,et al.  P-Complete Approximation Problems , 1976, J. ACM.

[12]  Intae Kim,et al.  Optimal Operation Grouping and Sequencing Technique for Multistage Machining Systems , 1995 .

[13]  Yunfeng Wang,et al.  A genetic algorithm for cellular manufacturing design and layout , 2007, Eur. J. Oper. Res..

[14]  Sunderesh S. Heragu,et al.  A heuristic for designing cellular manufacturing facilities , 1994 .

[15]  Tolga Bektas,et al.  Integrated cellular manufacturing systems design with production planning and dynamic system reconfiguration , 2009, Eur. J. Oper. Res..

[16]  Stella Sofianopoulou,et al.  Designing manufacturing cells: A staged approach and a tabu search algorithm , 2003 .

[17]  J. King,et al.  Machine-component group formation in group technology: review and extension , 1982 .

[18]  J. Ignizio,et al.  Fuzzy programming with nonlinear membership functions: piecewise linear approximation , 1991 .

[19]  Maghsud Solimanpur,et al.  A multi-objective genetic algorithm approach to the design of cellular manufacturing systems , 2004 .

[20]  Iraj Mahdavi,et al.  A flow matrix-based heuristic algorithm for cell formation and layout design in cellular manufacturing system , 2008 .

[21]  Kripa Shanker,et al.  Grouping of parts and machines in presence of alternative process routes by genetic algorithm , 2002 .

[22]  Chang-Chun Tsai,et al.  Optimization of manufacturing cell formation with a multi-functional mathematical programming model , 2006 .

[23]  R. Narasimhan.  GOAL PROGRAMMING IN A FUZZY ENVIRONMENT , 1980 .

[24]  R. Lashkari,et al.  A mathematical programming approach to joint cell formation and operation allocation in cellular manufacturing , 1995 .

[25]  T. T. Narendran,et al.  CASE: A clustering algorithm for cell formation with sequence data , 1998 .

[26]  Dong Cao,et al.  Using penalty function and Tabu search to solve cell formation problems with fixed cell cost , 2004, Comput. Oper. Res..

[27]  Waiel F. Abd El-Wahed,et al.  Interactive fuzzy goal programming for multi-objective transportation problems ☆ , 2006 .

[28]  Zhi-ming Wu,et al.  A genetic algorithm for manufacturing cell formation with multiple routes and multiple objectives , 2000 .

[29]  T. Warren Liao,et al.  Design of line-type cellular manufacturing systems for minimum operating and material-handling costs , 1994 .

[30]  Stephen T. Newman,et al.  A review of the modern approaches to multi-criteria cell design , 2000 .

[31]  H. Zimmermann.  Fuzzy programming and linear programming with several objective functions , 1978 .

[32]  Nancy Lea Hyer,et al.  Research issues in cellular manufacturing , 1987 .

[33]  Gajendra K. Adil,et al.  Efficient algorithm for cell formation with sequence data, machine replications and alternative process routings , 2004 .

[34]  Yunfeng Wang,et al.  Genetic algorithms for integrating cell formation with machine layout and scheduling , 2007, Comput. Ind. Eng..

[35]  Asoo J. Vakharia,et al.  Cell formation in group technology: review, evaluation and directions for future research , 1998 .

[36]  Irem Ozkarahan,et al.  COLLABORATIVE PRODUCTION-DISTRIBUTION PLANNING IN SUPPLY CHAIN: A FUZZY GOAL PROGRAMMING APPROACH , 2008 .