Effects of Product Structure Complexity on Multi-Level Lot Sizing

As an input to the materials requirement planning (MRP) process, the product structure interacts with the lot-sizing rules to affect inventories, materials flow, and production costs. Despite engineering constraints, considerable latitude is still available to construct alternate product structures for the same product. An important concern of MRP managers and designers is the impact of product structure complexity on the cost performance of the lot-sizing rules. To date, there exists no detailed research that provides managers with guidelines that relate the lot-sizing rules to individual product structure parameters. We report on an extensive experiment to test the effects of individual product structure parameters on the relative cost performance of 11 lot-sizing rules. Three parameters—the number of items, number of levels, and commonality index—are proposed to characterise product structure complexity and used as factors in an experiment involving a large variety of product structures. The results indicate that all three parameters affect the relative cost differences but not the ranking of the rules. The overall best lot-sizing rule is Bookbinder and Koch's [11] rule.

[1]  U. Karmarkar,et al.  Lotsizing in Multi-Item Multi- Machine Job Shops , 1985 .

[2]  E. Silver,et al.  Two Modifications Of The Silver-Meal Lot Sizing Heuristic , 1984 .

[3]  David A. Collier,et al.  THE MEASUREMENT AND OPERATING BENEFITS OF COMPONENT PART COMMONALITY , 1981 .

[4]  Leroy B. Schwarz,et al.  Optimal and System Myopic Policies for Multi-Echelon Production/Inventory Assembly Systems , 1975 .

[5]  John J. DeMatteis An Economic Lot-Sizing Technique I: The Part-Period Algorithm , 1968, IBM Syst. J..

[6]  Louis E. Yelle Materials requirements lot sizing: a multi-level approach , 1979 .

[7]  Yash P. Gupta,et al.  A Review of Multi‐stage Lot‐sizing Models , 1990 .

[8]  Klaus Zoller,et al.  Efficient heuristics for dynamic lot sizing , 1988 .

[9]  D. Collier A comparison of MRP lot sizing methods considering capacity change costs , 1980 .

[10]  D. Collier Aggregate Safety Stock Levels and Component Part Commonality , 1982 .

[11]  David A. Collier,et al.  Research issues for multi-level lot sizing in MRP systems , 1982 .

[12]  Mark A. McKnew,et al.  An Improved Heuristic for Multilevel Lot Sizing in Material Requirements Planning , 1991 .

[13]  H. Albert Napier,et al.  Optimal Multi-Level Lot Sizing for Requirements Planning Systems , 1980 .

[14]  Jatinder N. D. Gupta,et al.  OR Practice - Determining Lot Sizes and Resource Requirements: A Review , 1987, Oper. Res..

[15]  T. S. Lee,et al.  AN EVALUATION OF FORECAST ERROR IN MASTER PRODUCTION SCHEDULING FOR MATERIAL REQUIREMENTS PLANNING SYSTEMS. , 1987 .

[16]  R. Lawrence LaForge MRP and the Part‐Period Algorithm , 1982 .

[17]  M. H. Wagner,et al.  Dynamic Lot Size Models for Multi-Stage Assembly Systems , 1973 .

[18]  Eric M. Malstrom,et al.  Computer simulation of lot-sizing algorithms in three-stage multi-echelon inventory systems , 1984 .

[19]  W. C. Benton,et al.  PRODUCT STRUCTURE COMPLEXITY AND MULTILEVEL LOT SIZING USING ALTERNATIVE COSTING POLICIES , 1985 .

[20]  James H. Bookbinder,et al.  Production planning for mixed assembly/arborescent systems , 1990 .

[21]  Uday S. Karmarkar,et al.  Lot-Sizing and Lead-time Performance in a Manufacturing Cell , 1985 .

[22]  U. Karmarkar,et al.  Computationally Efficient Optimal Solutions to the Lot-Sizing Problem in Multistage Assembly Systems , 1984 .

[23]  Everett E. Adam,et al.  Forecasting error evaluation in material requirements planning (MRP) production-inventory systems , 1986 .

[24]  Cem Saydam,et al.  An Efficient Zero-One Formulation of the Multilevel Lot-Sizing Problem , 1991 .

[25]  Joseph D. Blackburn,et al.  Improved heuristics for multistage requirements planning systems , 1982 .

[26]  Robert Millen,et al.  An evaluation of heuristic performance in multi-stage lot-sizing systems , 1985 .

[27]  Joseph R. Biggs HEURISTIC LOT-SIZING AND SEQUENCING RULES IN A MULTISTAGE PRODUCTION-INVENTORY SYSTEM , 1979 .

[28]  Emre A. Veral,et al.  THE PERFORMANCE OF A SIMPLE INCREMENTAL LOT‐SIZING RULE IN A MULTILEVEL INVENTORY ENVIRONMENT , 1985 .