Near-Optimal Service Constrained Stocking Policies for Spare Parts

Consider a facility that stocks various parts in support of repairs for a set of products in some customer region. The problem considered is to determine base stock policies for each part to minimize expected inventory costs across all parts while satisfying some service constraint on total customer repair services completed. A heuristic procedure is developed for several variants of this problem. The heuristic is based on duality theory and is shown to have a close connection to the well known Greedy Heuristic. Encouraging experimental results on the performance of the proposed heuristic are reported. The basic problem structure considered is similar to the tool-kit problem, but it is formulated to allow applications in much broader spare part logistics contexts.

[1]  Henk Tijms,et al.  Simple approximations for the reorder point in periodic and continuous review (s, S) inventory systems with service level constraints , 1984 .

[2]  Robin B. S. Brooks,et al.  Alternative Measures of Supply Performance: Fills, Backorders, Operational Rate, and NORS , 1969 .

[3]  Richard C. Trepp,et al.  More ado about economic order quantities (EOQ) , 1970 .

[4]  S. K. Goyal,et al.  A Note on “Multi-Product Inventory Situations with One Restriction” , 1978 .

[5]  Paul R. Kleindorfer,et al.  Service Constrained s, S Inventory Systems with Priority Demand Classes and Lost Sales , 1988 .

[6]  J. Christopher Mitchell,et al.  Multi-Item Inventory Systems with a Service Objective , 1988, Oper. Res..

[7]  C. P. Schmidt,et al.  An efficient heuristic for the multi‐item newsboy problem with a single constraint , 1984 .

[8]  Stephen A. Smith,et al.  Note—Optimal Inventories Based on Job Completion Rate for Repairs Requiring Multiple Items , 1980 .

[9]  D. A. Schrady,et al.  Models for multi‐item continuous review inventory policies subject to constraints , 1971 .

[10]  J Christopher Mitchell Choosing Single-Item Service Objectives in a Multi-Item Base-Stock Inventory System. , 1982 .

[11]  R. G. Brown,et al.  Decision rules for equal shortage policies , 1970 .

[12]  L. Wolsey,et al.  On the greedy heuristic for continuous covering and packing problems , 1982 .

[13]  Bennett Fox,et al.  Discrete Optimization Via Marginal Analysis , 1966 .

[14]  R. C. Schroeder,et al.  Managerial inventory formulations with stockout objectives and fiscal constraints , 1974 .

[15]  Arthur F. Veinott,et al.  Analysis of Inventory Systems , 1963 .

[16]  Mn Bartakke,et al.  A method of spare parts inventory planning , 1981 .

[17]  Margaret K. Schaefer A Multi-Item Maintenance Center Inventory Model for Low-Demand Reparable Items , 1983 .

[18]  Stephen C. Graves Note-A Multiple-Item Inventory Model with a Job Completion Criterion , 1982 .

[19]  K. R. Baker,et al.  The Effect of Commonality on Safety Stock in a Simple Inventory Model , 1986 .

[20]  P. Beesack,et al.  A Finite Horizon Dynamic Inventory Model with a Stockout Constraint , 1967 .

[21]  M. J. Rosenblatt Multi-item inventory system with budgetary constraint: a comparison between the Lagrangian and the fixed cycle approach , 1981 .

[22]  Arnoldo C. Hax,et al.  Production and inventory management , 1983 .

[23]  K. Zoller Deterministic Multi-Item Inventory Systems with Limited Capacity , 1977 .

[24]  John W. Mamer,et al.  Optimizing Field Repair Kits Based on Job Completion Rate , 1982 .