Economic Delivery Quantities for Capacitated Multi-Stage Production Systems

摘要

Two large-scale integer programming models are developed for the multi-stage economic delivery quantity problem, an extension of the classic economic lot size problem. It is shown that to establish lot sizes, procurement costs and the effects of work-load on different areas of the assembly plant should be considered. Time constraints or space limitations in the receiving dock, warehouse, marshalling areas, staging areas, train stops, and line stations must all be taken into account when setting supplier delivery quantities and transferring lots from one storage location to another. However, the sequence in which the constraints are considered can substantially affect the solution and cost. Preferred lot sizes are determined based on minimizing inventory holding and space costs. By fixing delivery quantities to be a multiple of twice the demand rate per period for the final assembly, the difficulty in determining a schedule can be significantly reduced.