Stock Rationing in a Make-to-Stock Production System with Two Demand Classes and Service Level Constraint

摘要

This paper studies the stock rationing problem of a single-item make-to-stock production system with two demand classes and lost sale. There are service level requirements for both demand classes. Demands follow Poisson distributions, and production time is exponentially distributed. We derive the condition of the existence of a feasible rationing policy of the problem first. Then the optimality of rationing policy is shown. Numerical studies are used to compare rationing policy and FCFS policy, and also show how the service level constraint affects the efficiency of the rationing policy.