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Optimal inventory system with two backlog costs in response to a discount offer: corrections and complements

Author

Listed:
  • Leopoldo Eduardo Cárdenas-Barrón

    (Tecnológico de Monterrey)

  • Kun-Jen Chung

    (Chung Yuan Christian University
    National Taiwan University of Science and Technology
    Shih Chien University)

  • Nima Kazemi

    (Islamic Azad University)

  • Ehsan Shekarian

    (Young Researchers and Elite Club, Hamedan Branch, Islamic Azad University)

Abstract

Kindi and Sarker (Prod Plan Control 22(3):325–333, 2011) develop an inventory model with backlogging to determine the optimal ordering policies in response to a discount offer. In the paper, there are some technical errors in developing of the optimal ordering policies. This paper presents the correct mathematical expressions and the solution to the numerical examples. Furthermore, this study also provides the closed forms for the optimal total gain costs that were not given by Kindi and Sarker (Prod Plan Control 22(3):325–333, 2011).

Suggested Citation

  • Leopoldo Eduardo Cárdenas-Barrón & Kun-Jen Chung & Nima Kazemi & Ehsan Shekarian, 2018. "Optimal inventory system with two backlog costs in response to a discount offer: corrections and complements," Operational Research, Springer, vol. 18(1), pages 97-104, April.
    • Handle: RePEc:spr:operea:v:18:y:2018:i:1:d:10.1007_s12351-016-0255-8
    DOI: 10.1007/s12351-016-0255-8
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    Cited by:

    1. Shaktipada Bhuniya & Biswajit Sarkar & Sarla Pareek, 2019. "Multi-Product Production System with the Reduced Failure Rate and the Optimum Energy Consumption under Variable Demand," Mathematics, MDPI, vol. 7(5), pages 1-20, May.
    2. Priyanka & Sarla Pareek, 2023. "A sustainable inventory model for stochastic demand using innovative multi-item production system with reduced failure rate," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(3), pages 844-864, June.
    3. Saha, Subrata & Chatterjee, Debajyoti & Sarkar, Biswajit, 2021. "The ramification of dynamic investment on the promotion and preservation technology for inventory management through a modified flower pollination algorithm," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).

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