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中文摘要：
研究了在允许需求延迟情形下，定价对生产计划的影响．价格是决策变量，在整个计划期保持不变．每周期的缺货只能延迟而不允许放弃．设计了一种精确算法，交替地进行定价决策和批量决策，可以在多项式时间内求解出最优价格和最优生产计划．实验结果显示，与分散策略相比，联合策略可以制定更加合理的价格，给企业带来了更多的利润．
英文摘要：
Lot sizing models with backlogging （LSP-B） tend to neglect the effect of market on production. To overcome the shortcoming, pricing is here introduced into general LSP-B. Demand is a deterministic function of price. It is primarily concerned that the same selling price on a product is maintained throughout horizon. The demand unsatisfied must be backlogged and lost sales are prohibited in each period. An exact algorithm is developed to solve joint constant pricing and LSP-B in polynomial time. The algorithm transforms joint pricing and lot sizing problems into a lot of lot sizing problems previously studied. By making alternate decisions on pricing and production, the lower bound and the upper one of the optimal pricing can be obtained. Then restarting the alternate decisions repeatedly, the optimal pricing and corresponding production plan can be solved. In general, the results show that the joint policy may contribute more profit to the finn than the decentralized policy.
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