DYNAMIC LOT SIZING FOR MULTIECHELON DISTRIBUTION-SYSTEMS WITH PURCHASING AND TRANSPORTATION PRICE DISCOUNTS
成果类型：
Article
署名作者：
DIABY, M; MARTEL, A
署名单位：
Laval University
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.41.1.48
发表日期：
1993
页码：
48-59
关键词：
摘要：
We consider the problem of determining optimal purchasing and shipping quantities over a finite planning horizon for arborescent, multi-echelon physical distribution systems with deterministic, time-varying demands. We assume that the inventory holding cost at a given warehouse of the distribution network is a linear function of the inventory level, and that the total procurement cost (i.e., ordering, plus purchasing, plus transportation and reception costs) is a general piecewise-linear function of the quantities shipped to and from the warehouse. We formulate a mixed integer linear programming model of the problem and develop a Lagrangian relaxation-based procedure to solve it. We show computational results for problems with 12 periods, up to 15 warehouses, and 3 transportation price ranges.