We develop an optimization algorithm for a periodic review inventory system under a stochastic budget constraint. While most conventional studies on the periodic review inventory system consider a simple budget limit in terms of the inventory investment being less than a fixed budget, this study adopts more realistic assumption in that purchasing costs are paid at the time an order is arrived. Therefore, probability is employed to express the budget constraint. That is, the probability of total inventory investment to be less than budget must be greater than a certain value assuming that purchasing costs are paid at the time an order is arrived. We express the budget constraint in terms of the Lagrange multiplier and suggest a numerical method to obtain optional values of the cycle time and the safety factor to the system. We also perform the sensitivity analysis in order to investigate the dependence of important quantities on the budget constraint. We find that, as the amount of budget increases, the cycle time and the average inventory level increase, whereas the Lagrange multiplier decreases. In addition, as budget increases, the safety factor increases and reaches to a certain level. In particular, we derive the condition for the maximum safety factor.

  기업의 수요에서 자기상관을 인식하지 못하게 되면, 이 기업은 수요가 서로 독립이면서 동일한 분포를 따른다는 가정 하에 개발된 전통적인 재고주문방법을 시행하게 된다. 따라서 이 경우에 안전재고량, 재고부족 확률, 재고부족량 등과 같은 성과지표의 관점에서 전통적인 재고주문방법이 정확한 재고주무방법에 비하여 얼마만큼 비효율적인가를 알아보는 것은 기업경영의 측면에서 의미 있는 일이다. 이 논문에서는 정기주문시스템 하에서의 두 가지 재고 관리방법을 비교하기