Stock allocation in a two-echelon distribution network under service constraints

Consideration is given to a two-echelon distribution network focusing on the detennination of cost optimal stocknonns under service level constraints. The network we study allows holding stock at both echelons and implements periodic review order-up-to-S policies at both echelons. In the event of material shortages at the depot material rationing is needed. The policy we use allows for each stockpoint to attain a desired service level, which need not be the same across all end stockpoints. We develop distribution-free expressions describing the system dynamics and models for the total system cost and the service constraints. We propose heuristic algorithms for service level computations and use an empirical optimisation procedure to detennine the optimal stocknonns under different system settings. Many theoretical results are validated through simulation, which demonstrates the adequacy of the approximations involved in the analysis.

[1]  Paul H. Zipkin,et al.  Approximations of Dynamic, Multilocation Production and Inventory Problems , 1984 .

[2]  A. G. Lagodimos Multi-echelon service models for inventory systems under different rationing policies , 1992 .

[3]  A. G. Lagodimos,et al.  Optimal positioning of safety stocks in MRP , 1993 .

[4]  Kok de Ag,et al.  Distribution planning for a divergent 2-echelon network without intermediate stocks under service restrictions , 1993 .

[5]  J. Wijngaard,et al.  Practical Application of the Echelon Approach in a System with Divergent Product Structures , 1986 .

[6]  Kh Karel van Donselaar,et al.  Integral stock norms in divergent systems with lot-sizes , 1988 .

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

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

[9]  P. Jackson,et al.  Risk pooling in a two‐period, two‐echelon inventory stocking and allocation problem , 1989 .

[10]  I. G. BONNER CLAPPISON Editor , 1960, The Electric Power Engineering Handbook - Five Volume Set.

[11]  Edward A. Silver,et al.  Analysis of a two-echelon inventory control system with complete redistribution , 1987 .

[12]  W. Zijm,et al.  Computational procedures for stochastic multi-echelon production systems , 1991 .

[13]  Paul H. Zipkin On the Imbalance of Inventories in Multi-Echelon Systems , 1984, Math. Oper. Res..

[14]  Ralph D. Badinelli,et al.  Backorders optimization in a one-warehouse N-identical retailer distribution system , 1988 .

[15]  Andrew J. Clark,et al.  An informal survey of multi‐echelon inventory theory , 1972 .

[16]  J. Wijngaard,et al.  Commonality and safety stocks , 1987 .

[17]  Paul H. Zipkin,et al.  Estimating the Performance of Multi-Level Inventory Systems , 1988, Oper. Res..

[18]  Kaj Rosling,et al.  Optimal Inventory Policies for Assembly Systems Under Random Demands , 1989, Oper. Res..

[19]  Graham K. Rand,et al.  Decision Systems for Inventory Management and Production Planning , 1979 .

[20]  de Ag Ton Kok Hierarchical production planning for consumer goods , 1990 .

[21]  Leroy B. Schwarz,et al.  Physical Distribution: The Analysis of Inventory and Location , 1981 .

[22]  Awi Federgruen,et al.  Allocation policies and cost approximations for multilocation inventory systems , 1984 .

[23]  Peter W. Jones,et al.  Stochastic Modelling and Analysis , 1988 .

[24]  Leroy B. Schwarz,et al.  Multi-level production/inventory control systems : theory and practice , 1981 .