Ravindra K. Ahuja, Wei Huang, H. Edwin Romeijn, Dolores Romero Morales
A heuristic approach to the multi-period single-sourcing problem with production and inventory capacities and perishability constraints

The multi-period single-sourcing problem that we address in this paper can be used as a tool for evaluating logistics network designs in a dynamic environment. We consider the assignment of retailers to facilities, taking into account the timing, location, and size of production and inventories, in the presence of various types of constraints. We propose a greedy heuristic, and prove that this heuristic is asymptotically optimal in a probabilistic sense when retailer demands share a common seasonality pattern. In addition, we study several subproblems of the multi-period single-sourcing problem, and use these to develop an efficient implementation of a Very Large-Scale Neighborhood Search improvement heuristic. We perform extensive tests on a set of randomly generated problems, and conclude that the heuristic produces very high quality solutions in limited time.