Markdown optimization for an apparel retailer under cross-price and initial inventory effects

Özlem Cosgun*, Ufuk Kula, Cengiz Kahraman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

Apparel Retailers have been using markdowns as a means of revenue maximization with an increased frequency. Parallel to this increase, several authors have studied single product markdown optimization problem under various settings or assumed that the products are independent in case of multi-products. In this paper, we address the simultaneous determination of markdown prices and optimal initial inventory levels under the cross-price effects in a random demand setting for multi-product groups for an apparel retailer chain in Turkey. First, we formulate the problem as a Markov Decision Process that considers price-based substitution and complementary effects among products and maximizes the expected total profit over a finite horizon. Then, we find the approximate markdown policies of each product by using Approximate Dynamic Programming algorithm. We investigate how cross-price elasticity affects the markdown policies of each product by considering several relationships among them, such as the products are all substitute or all are complement or some are substitute and some are complement. In addition to this, we provide insights on how they affect the expected revenues when non-optimal and optimal initial inventory levels are considered. When cross-price effects are considered in case of non-optimal initial inventory levels, average revenue increases about 32% while it increases to 50% when optimal initial inventory levels are in case.

Original languageEnglish
Pages (from-to)186-197
Number of pages12
JournalKnowledge-Based Systems
Volume120
DOIs
Publication statusPublished - 15 Mar 2017

Bibliographical note

Publisher Copyright:
© 2017

Keywords

  • Approximate dynamic programming
  • Cross-price elasticity
  • Dynamic pricing
  • Markdown optimization
  • Markov decision processes

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