考虑资源约束和变质期的订货批量与定价的联合决策

戴道明;程刚;杨善林

系统工程理论与实践 ›› 2009, Vol. 29 ›› Issue (1) : 81-88.

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中国科学院数学与系统科学研究院期刊网
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系统工程理论与实践 ›› 2009, Vol. 29 ›› Issue (1) : 81-88. DOI: 10.12011/1000-6788(2009)1-81
论文

考虑资源约束和变质期的订货批量与定价的联合决策

    戴道明;程刚;杨善林
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摘要

传统的订货计划一般假定需求事先已知.研究了需求是价格的函数、订货能力有限情形时，
订货商对变质性产品协调地进行定价决策和订货决策，使得利润最大化.建立了二次规划数学模型. 提出了基于动态规划的算法，可以在多项式时间内求解原问题的最优定价策略和最优订货计划.实验结果表明，与分散决策相比，联合决策可以给订货商带来更多的利润.通过订货能力的灵敏度分析，表明订货能力变化对利润和价格产生显著影响，有助于订货商选择恰当的订货能力水平.通过变质期的灵敏度分析，揭示了变质期对订货策略影响显著.

Abstract

Material requirements planning research has typically assumed that the firm's demands are determined prior to order planning. In contrast, a class of capacitated lot sizing problems is considered, which implicitly decides, through pricing decisions,the demand levels the firm should satisfy in order to maximize contribution to profit. An algorithm based on dynamic programming
is proposed, by which the optimal pricing strategy and the optimal order strategy are obtained in polynomial time. The results show that the algorithm can effectively solve the original problem.Also, in comparison with the decentralized policy, the more rational prices can be set so as to maximize the form's profit by the joint policy. Sensitivity analysis of order capacity shows the effect of capacity on profit and pricing, by which the proper order capacity level can be set. Sensitivity analysis of life perishability shows the remarkable effect of life perishbility on order strategy.

关键词

动态规划 / 变质期 / 定价 / 能力受限批量问题

Key words

dynamic programming / life perishability / pricing / capacitated lot sizing problem

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戴道明 , 程刚 , 杨善林. 考虑资源约束和变质期的订货批量与定价的联合决策. 系统工程理论与实践, 2009, 29(1): 81-88 https://doi.org/10.12011/1000-6788(2009)1-81
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