Distribution planning for a divergent 2-echelon network without intermediate stocks under service restrictions

In this paper we discuss a periodic review control policy for general N-echelon distribution networks without batch size or capacity constraints. Only stockpoints at the end of the network are allowed to hold stock, whereas the intermediate stockpoints act as pure distribution centers that allocate incoming goods immediately to downstream stockpoints. Larger distribution networks (N = 3,4, 5) are often encountered in practice and therefore suitable inventory management policies are needed. Instead of defining a cost structure, we apply a service level approach where the main goal is to realize predetermined target service levels in the final stockpoints. A fast and accurate approximation method is presented which enables us to compute the parameters of the control policy; i.e. the system order-up-to-level and the allocation fractions for the allocation policy at the intermediate stockpoints. Finally, some attention is given to the important phenomenon of imbalance, which is caused by highly fluctuating demand processes at the final stockpoints. This phenomenon can affect the service performance of the developed control policy significantly.

[1]  de Ag Ton Kok Demand management in a multi-stage distribution chain , 1993 .

[2]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[3]  E. Silver,et al.  Stock allocation among a central warehouse and identical regional warehouses in a particular push inventory control system , 1987 .

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

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

[6]  Horst Tempelmeier Safety stock allocation in a two-echelon distribution system , 1993 .

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

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

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

[10]  Morris A. Cohen,et al.  Pooling in two-location inventory systems with non-negligible replenishment lead times , 1992 .

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

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

[13]  Henk Tijms,et al.  Stochastic modelling and analysis: a computational approach , 1986 .

[14]  W. Zijm,et al.  An analytical theory of multi-echelon production/distribution systems , 1990 .

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

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

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

[18]  Paul H. Zipkin,et al.  Evaluation of one-for-one replenishment policies for multiechelon inventory systems , 1991 .

[19]  L. B. Schwarz,et al.  Fill-Rate Optimization in a One-Warehouse N-Identical Retailer Distribution System , 1985 .

[20]  A. G. Lagodimos,et al.  Stock allocation in a two-echelon distribution system , 1994 .

[21]  A. G. Lagodimos Models for evaluating the performance of serial and assembly MRP systems , 1993 .

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

[23]  L. B. Schwarz A Model for Assessing the Value of Warehouse Risk-Pooling: Risk-Pooling Over Outside-Supplier Leadtimes , 1989 .

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