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Note on: A necessary and sufficient conditions for the existence of the optimal solution of a single-vendor single-buyer integrated production-inventory model with process unreliability consideration

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  • Ha, Daesung

Abstract

Chung (2008) discussed the necessary and sufficient conditions for the existence of the optimal solution of an integrated production-inventory model developed by Huang (2004), which allowed a vendor and a buyer to minimize their expected integrated total cost function with an imperfect production process. The objective of Chung (2008) was to improve the solution procedure presented in Huang (2004). In this study, we identify three errors, irrelevant conditions, and inappropriate examples used in Chung (2008). We provide a reformulation of the model and the correct necessary and sufficient conditions for optimality.

Suggested Citation

  • Ha, Daesung, 2010. "Note on: A necessary and sufficient conditions for the existence of the optimal solution of a single-vendor single-buyer integrated production-inventory model with process unreliability consideration," International Journal of Production Economics, Elsevier, vol. 124(1), pages 106-108, March.
    • Handle: RePEc:eee:proeco:v:124:y:2010:i:1:p:106-108
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    1. Huang, Chao-Kuei, 2004. "An optimal policy for a single-vendor single-buyer integrated production-inventory problem with process unreliability consideration," International Journal of Production Economics, Elsevier, vol. 91(1), pages 91-98, September.
    2. Chung, Kun-Jen, 2008. "A necessary and sufficient condition for the existence of the optimal solution of a single-vendor single-buyer integrated production-inventory model with process unreliability consideration," International Journal of Production Economics, Elsevier, vol. 113(1), pages 269-274, May.
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    1. Hoque, M.A., 2011. "Generalized single-vendor multi-buyer integrated inventory supply chain models with a better synchronization," International Journal of Production Economics, Elsevier, vol. 131(2), pages 463-472, June.
    2. Huang, Chao-Kuei & Tsai, Deng-Maw & Wu, Ji-Cheng & Chung, Kun-Jen, 2010. "An optimal integrated vendor-buyer inventory policy under conditions of order-processing time reduction and permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 128(1), pages 445-451, November.

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