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The correct proofs for the optimal ordering policy with trade credit under two different payment methods in a supply chain system

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  • Kun-Jen Chung

Abstract

Cheng et al. (Top, 2010 . doi: 10.1007/s11750-08-0062-3 ) consider the optimal ordering policy with trade credit under two different payment methods. Under Assumption (5) by Cheng et al., the annual total relevant cost TRC(T) is only defined on a finite interval. However, Cheng et al. treat the domain of TRC(T) to be the set of all positive numbers such that the formulation and optimal solution of TRC(T) cause some errors. So, the main purpose of this paper not only removes those shortcomings by Cheng et al. but also presents the correct proofs for Theorems 1 and 2 of Cheng et al. Copyright Sociedad de Estadística e Investigación Operativa 2012

Suggested Citation

  • Kun-Jen Chung, 2012. "The correct proofs for the optimal ordering policy with trade credit under two different payment methods in a supply chain system," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(3), pages 768-776, October.
    • Handle: RePEc:spr:topjnl:v:20:y:2012:i:3:p:768-776
    DOI: 10.1007/s11750-010-0164-6
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    Cited by:

    1. Faryal Fahim & Batiah Mahadi, 2023. "Green Trade Credit and Sustainable Firm Performances During COVID-19: A Conceptual Review," Vision, , vol. 27(5), pages 593-603, November.
    2. Liang-Yuh Ouyang & Cheng-Ju Chuang & Chia-Huei Ho & Chien-Wei Wu, 2014. "An integrated inventory model with quality improvement and two-part credit policy," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 1042-1061, October.
    3. Nita Shah, 2015. "Retailer’s replenishment and credit policies for deteriorating inventory under credit period-dependent demand and bad-debt loss," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(1), pages 298-312, April.

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