A 98%-effective lot-sizing rule for a multi-product, multi-stage production/inventory system
Mathematics of Operations Research
Mathematics of Operations Research
Computers and Operations Research - Articles presented at the conference on routing and location (CORAL)
Computers and Operations Research
Computers & Mathematics with Applications
Computers and Operations Research - Articles presented at the conference on routing and location (CORAL)
ESA'11 Proceedings of the 19th European conference on Algorithms
Expert Systems: The Journal of Knowledge Engineering
Expert Systems with Applications: An International Journal
Hi-index | 0.02 |
In this study, we perform theoretical analysis and derive a global optimum search algorithm for the joint replenishment problem (JRP) under power-of-two (PoT) policy. The JRP models concern how to determine lot sizes and to schedule replenishment times for products so as to minimize the total costs per unit time. PoT policy requires replenishment frequency of each product, denoted by ki, to be a PoT integer, i.e., ki = 2p where p=0, 1, 2,.... By utilizing a 10-product example, we graphically present the curve of the optimal total cost with respect to the values of basic period. Under PoT policy, we prove that the optimality structure of the JRP is piece-wise convex. By making use of the junction points in the optimality structure, we derive an effective search algorithm to secure a global optimal solution for the JRP under PoT policy. Evidently, we provide a numerical example to demonstrate the efficiency of the proposed algorithm.