Hierarchical Production-planning Systems: Extensions and Modifications

This paper extends earlier hierarchical production-planning approaches initiated by Hax and Meal. The proposed model incorporates both functional and hierarchical interfaces simultaneously as encountered in practice, and assures feasibility and consistency among the decisions made at the different hierarchical levels of the firm. The problem of infeasibility which arises in disaggregating the aggregate production plan into detailed schedules is solved using goal programming at the product-family disaggregation level, and using branch and bound at the item-disaggregation level. The proposed approach minimizes backlogging regardless of the underlying cost structure of the problem at hand.

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

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

[3]  Sidney W. Hess,et al.  A Linear Programming Approach to Production and Employment Scheduling , 1960 .

[4]  R. P. Mohanty,et al.  Hierarchical production planning: Comparison of some heuristics , 1987 .

[5]  Henry Gabbay,et al.  A Hierarchical Approach to Production Planning. , 1975 .

[6]  S. Eilon.  Five Approaches to Aggregate Production Planning , 1975 .

[7]  Luk N. Van Wassenhove,et al.  Hierarchical integration in production planning: Theory and practice , 1982 .

[8]  Curtis H. Jones.  Parametric Production Planning , 1967 .

[9]  Joseph M. Mellichamp,et al.  Production Switching Heuristics for the Aggregate Planning Problem , 1978 .

[10]  Jonathan J. Golovin.  Hierarchical integration of planning and control. , 1975 .

[11]  Sven Axsäter,et al.  Aggregation of Product Data for Hierarchical Production Planning , 1981, Oper. Res..

[12]  Robert E. Markland,et al.  Improved hierarchical production planning , 1989 .

[13]  E. Newson.  Multi-Item Lot Size Scheduling by Heuristic Part II: With Variable Resources , 1975 .

[14]  Lee J. Krajewski,et al.  Disaggregation in manufacturing and service organizations: survey of problems and research , 1977 .

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

[16]  R. P. Mohanty,et al.  An Assessment of Some Approaches to Hierarchical Production Planning , 1984 .

[17]  Tan Miller,et al.  A Hierarchical Production Planning System , 1985 .

[18]  W. Taubert.  A Search Decision Rule for the Aggregate Scheduling Problem , 1968 .

[19]  W. Damon,et al.  A Simultaneous Decision Model for Production, Marketing and Finance , 1972 .

[20]  L. Schrage,et al.  Joint Pricing and Inventory Decisions for Constant Priced Items , 1973 .

[21]  C. C. Holt,et al.  Planning Production, Inventories, and Work Force. , 1962 .

[22]  Germaine H. Saad.  An overview of production planning models: structural classification and empirical assessment , 1982 .

[23]  D. I. Steinberg,et al.  The fixed charge problem , 1970 .

[24]  Kalyan Singhal,et al.  Cost and Shortage Trade-Offs in Aggregate Production Planning* , 1989 .

[25]  Michael D. Oliff,et al.  A DISCRETE PRODUCTION SWITCHING RULE FOR AGGREGATE PLANNING , 1987 .

[26]  J. Erschler,et al.  Consistency of the Disaggregation Process in Hierarchical Planning , 1986, Oper. Res..