H. Pirkul et V. Jayaraman, PRODUCTION, TRANSPORTATION, AND DISTRIBUTION PLANNING IN A MULTICOMMODITY TRI-ECHELON SYSTEM, Transportation science, 30(4), 1996, pp. 291-302
To achieve high productivity in manufacturing plants and warehouses, a
n orderly and flexible flow of materials is essential. The interaction
between the manufacturing plants and warehouses and issues related to
distribution of multiple commodities to customers from warehouses rep
resents a crucial step toward an integrated and systematic facilities'
design. In this paper we develop a mixed integer programming model fo
r the plant and warehouse location problem where the objective is to m
inimize the total transportation and distribution costs and the fixed
costs for opening and operating plants and warehouses. We employ Lagra
ngian relaxation to the model, and also present a heuristic to produce
an effective feasible solution. for the problem. This problem has res
ulted from a study conducted by the authors for a large company manufa
cturing health-care products. The paper reports on the development of
a model structure that can be used to predict the performance of the c
ompany.