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Optimal inventory policy for two substitutable products with customer service objectives

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  • Chen, Xu
  • Feng, Youyi
  • Keblis, Matthew F.
  • Xu, Jianjun

Abstract

We consider a firm facing stochastic demand for two products with downward, supplier-driven substitution and customer service objectives. We assume both products are perishable or prone to obsolescence, hence the firm faces a single period problem. The fundamental challenge facing the firm is to determine in advance of observing demand the profit maximizing inventory levels of both products that will meet given service level objectives. Note that while we speak of inventory levels, the products may be either goods or services. We characterize the firm’s optimal inventory policy with and without customer service objectives. Results of a numerical study reveal the benefits obtained from substitution and show how optimal inventory levels are impacted by customer service objectives.

Suggested Citation

  • Chen, Xu & Feng, Youyi & Keblis, Matthew F. & Xu, Jianjun, 2015. "Optimal inventory policy for two substitutable products with customer service objectives," European Journal of Operational Research, Elsevier, vol. 246(1), pages 76-85.
    • Handle: RePEc:eee:ejores:v:246:y:2015:i:1:p:76-85
    DOI: 10.1016/j.ejor.2015.04.033
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    References listed on IDEAS

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    2. Zhang, Yi & Hua, Guowei & Cheng, T.C.E. & Zhang, Juliang & Fernandez, Vicenc, 2020. "Risk pooling through physical probabilistic selling," International Journal of Production Economics, Elsevier, vol. 219(C), pages 295-311.
    3. Mokhtari, Hadi, 2018. "Economic order quantity for joint complementary and substitutable items," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 154(C), pages 34-47.
    4. Renbang Shan & Li Luo & Baoli Shi, 2023. "The choice of recycling strategies for decision-makers based on government subsidy and service budget," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(2), pages 1441-1472, February.
    5. He, Shuang & Zhang, Jian & Zhang, Juliang & Cheng, T.C.E., 2022. "Production/inventory competition between firms with fixed-proportions co-production systems," European Journal of Operational Research, Elsevier, vol. 299(2), pages 497-509.
    6. Jianghua Wu & Zepeng Wang & Chenchen Zhao, 2023. "Effects of production capacity and substitutability on optimal pricing and inventory policies," Annals of Operations Research, Springer, vol. 326(1), pages 341-367, July.

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