A hierarchical model for the cell loading problem of cellular manufacturing systems

A hierarchical cell loading approach is proposed to solve the production planning problem in cellular manufacturing systems. Our aim is to minimize the variable cost of production subject to production and inventory balance constraints for families and items, and capacity feasibility constraints for group technology cells and resources over the planning horizon. The computational results indicated that the proposed algorithm was very efficient in finding an optimum solution for a set of randomly generated problems.

[1]  O Felixoffodile,et al.  Cellular manufacturing: A taxonomic review framework , 1994 .

[2]  Gabriel R. Bitran,et al.  Hierarchical Production Planning: A Single Stage System , 1981, Oper. Res..

[3]  Gabriel R. Bitran,et al.  Hierarchical production planning , 1989 .

[4]  Arthur M. Geoffrion,et al.  Primal Resource-Directive Approaches for Optimizing Nonlinear Decomposable Systems , 1970, Oper. Res..

[5]  S. Graves Using Lagrangean Techniques to Solve Hierarchical Production Planning Problems , 1982 .

[6]  Kenneth N. McKay,et al.  A review of hierarchical production planning and its applicability for modern manufacturing , 1995 .

[7]  Nancy Lea Hyer,et al.  Cellular manufacturing in the U.S. industry: a survey of users , 1989 .

[8]  M. S. Akturk,et al.  Part-machine grouping using a multi-objective cluster analysis , 1996 .

[9]  Luk N. Van Wassenhove,et al.  Multi Item Single Level Capacitated Dynamic Lotsizing Heuristics: A Computational Comparison (Part II: Rolling Horizon) , 1986 .

[10]  John S. Morris,et al.  A simulation analysis of factors influencing the attractiveness of group technology cellular layouts , 1990 .

[11]  Kenneth R. Baker,et al.  AN EXPERIMENTAL STUDY OF THE EFFECTIVENESS OF ROLLING SCHEDULES IN PRODUCTION PLANNING , 1977 .

[12]  David F. Rogers,et al.  Similarity and distance measures for cellular manufacturing. Part I. A survey , 1993 .

[13]  Angappa Gunasekaran,et al.  An investigation into the application of group technology in advanced manufacturing systems , 1994 .

[14]  Albert Jones,et al.  An Architecture for Decision Making in the Factory of the Future , 1987 .

[15]  David F. Rogers,et al.  Similarity and distance measures for cellular manufacturing. Part II. An extension and comparison , 1993 .

[16]  Luk N. Van Wassenhove,et al.  Multi Item Single Level Capacitated Dynamic Lotsizing Heuristics: A Computational Comparison (Part I: Static Case) , 1986 .

[17]  S. M. Shafer,et al.  A simulation analyses of factors influencing loading practices in cellular manufacturing , 1995 .

[18]  Helmut A. Welke,et al.  Using cellar manufacturing to implement just-in-time and total quality control , 1988 .

[19]  Marshall L. Fisher,et al.  An Applications Oriented Guide to Lagrangian Relaxation , 1985 .

[20]  Nancy Lea Hyer,et al.  Group technology in the US manufacturing industry: A survey of current practices , 1989 .

[21]  Philip Wolfe,et al.  Validation of subgradient optimization , 1974, Math. Program..

[22]  Jeremy F. Shapiro,et al.  Mathematical programming models and methods for production planning and scheduling , 1988 .

[23]  Arnoldo C. Hax,et al.  Hierarchical integration of production planning and scheduling , 1973 .