计算机集成制造系统 ›› 2020, Vol. 26 ›› Issue (11): 3129-3141.DOI: 10.13196/j.cims.2020.11.023

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垂直差异产品的产品组合、价格与库存联合决策

王亚娜,江文辉,王桐远,李延来+   

  1. 西南交通大学交通运输与物流学院
  • 出版日期:2020-11-30 发布日期:2020-11-30
  • 基金资助:
    国家自然科学基金资助项目(71371156,71872153)。

Joint assortment,pricing and inventory decision for vertically differentiated products

  • Online:2020-11-30 Published:2020-11-30
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.71371156,71872153).

摘要: 为研究一类垂直差异产品的品类规划、定价和库存控制联合决策问题,基于消费者效用最大化理论和报童模型分别构建了确定型需求和随机型需求的产品组合、价格及库存联合决策模型,证明两种不同需求情形下最优产品组合满足的性质。利用最优产品组合的性质和模拟退火算法设计了一个寻求最优产品组合、价格及库存的启发式算法。最后,利用数值分析的方法验证了所提模型和算法的可行性,并研究了顾客到达人数和消费者需求变异系数对零售商最优决策的影响。结果表明,随机型需求的最优产品组合为确定型需求最优产品组合的子集;当需求不确定时,零售商的最优产品组合规模和期望利润为需求变异系数的减函数,最优价格和库存量随需求变异系数的增加而波动。

关键词: 垂直差异产品, 品类规划, 库存管理, 定价, 最优产品组合, 启发式算法

Abstract: To solve the joint decision problem of category optimization,pricing and inventory control in a vertically differentiated products,the joint decision model of subset selecting,pricing and inventory under deterministic demandcase and stochastic demand based on the theory of consumer's maxmum utility and newsvendor model were developed respectively.A heuristic algorithm was developed based on the structure of optimal product assortment to find the optimal solution.The effectiveness of the proposed method was verified with numerical analysis,and the influence of store traffic and variation coefficient of demand on retailer's decision were researched.The results showed that the optimal product assortment in the risky case was a subset of the optimal riskless assortment.With the uncertainity of demand,the scale of optimal product assortment and retailer's profits was  decreasing in coefficient of demand variation,while the optimal price and inventory were fluctuated with the increasing of coefficient of demand variation.

Key words: vertically differentiated products, assortment planning, inventory management, pricing, optimal product assortment, heuristic algorithm

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