Asymptotically Optimal Inventory Control for Assemble-to-Order Systems with Identical Lead Times

Martin I. Reiman, Qiong Wang
2015 Operations Research  
Optimizing multiproduct assemble-to-order (ATO) inventory systems is a long-standing difficult problem. We consider ATO systems with identical component lead times and a general "bill of materials." We use a related two-stage stochastic program (SP) to set a lower bound on the average inventory cost and develop inventory control policies for the dynamic ATO system using this SP. We apply the first-stage SP optimal solution to specify a base-stock replenishment policy, and the second-stage SP
more » ... second-stage SP recourse linear program to make allocation decisions. We prove that our policies are asymptotically optimal on the diffusion scale, so the percentage gap between the average cost from its lower bound diminishes to zero as the lead time grows. Subject classifications: assemble-to-order; inventory management; stochastic linear program; stochastic control; asymptotic optimality; diffusion scale. Area of review: Stochastic Models.
doi:10.1287/opre.2015.1372 fatcat:bpni7zeemvhfrhycjl7ua4akea