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We consider a single product during a sales period with a fixed duration and price sensitive intensity of a compound Poisson customer’s flow. A model with a power adjustable coefficient of dynamic retail price control through the intensity of the demand is considered accommodating scenarios of shortages and leftovers. We consider the diffusion approximation of the stock level process to find the probabilistic characteristics of the selling process, and a linear approximation of the intensity-of-price dependence is used to find the expected revenue. Numerical examples illustrate the theoretical results.

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A Power-Law Adjustable Coefficient Dynamic Pricing Model Considering Shortages and Leftovers

  • 会议论文

  • 发表日期：

    2025年

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  • Anna Kitaeva,
  • Yu Cao

摘要

We consider a single product during a sales period with a fixed duration and price sensitive intensity of a compound Poisson customer’s flow. A model with a power adjustable coefficient of dynamic retail price control through the intensity of the demand is considered accommodating scenarios of shortages and leftovers. We consider the diffusion approximation of the stock level process to find the probabilistic characteristics of the selling process, and a linear approximation of the intensity-of-price dependence is used to find the expected revenue. Numerical examples illustrate the theoretical results.