Title
Heuristics for a One-Warehouse Multiretailer Distribution Problem with Performance Bounds
Abstract
We investigate the one warehouse multiretailer distribution problem with traveling salesman tour vehicle routing costs. We model the system in the framework of the more general production/distribution system with arbitrary non-negative monotone joint order costs. We develop polynomial time heuristics whose policy costs are provably close to the cost of an optimal policy. In particular, we show that given a submodular function which is close to the true order cost then we can find a power-of-two policy whose cost is only moderately greater than the cost of an optimal policy. Since such submodular approximations exist for traveling salesman tour vehicle routing costs we present a detailed description of heuristics for the one warehouse multiretailer distribution problem. We formulate a nonpolynomial dynamic program that computes optimal power-of-two policies for the one warehouse multiretailer system assuming only that the order costs are non-negative monotone. Finally, we perform computational tests which compare our heuristics to optimal power of two policies for problems of up to sixteen retailers. We also perform computational tests on larger problems; these tests give us insight into what policies one should employ.
Year
DOI
Venue
1997
10.1287/opre.45.1.102
Operations Research
Keywords
DocType
Volume
applications,inventory/production,transportation,dynamic programming/optimal control,optimal power of two schedule for one warehouse problem,tsp tour lengths and delivery costs with economies of scale,multi-item/echelon/stage,bounds hold for general production/distribution network,costs
Journal
45
Issue
ISSN
Citations 
1
0030-364X
23
PageRank 
References 
Authors
2.02
6
2
Name
Order
Citations
PageRank
Y. Herer1232.02
R. Roundy2232.02