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A generalization of sensitivity of the inventory model with partial backorders

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  • Leung, Kit-Nam Francis

Abstract

In this paper, we use the elementary techniques of differential calculus to investigate the sensitivity analysis of Montgomery et al.'s [Montgomery, D.C., Bazaraa, M.S., Keswani, A.K., 1973. Inventory models with a mixture of backorders and lost sales. Naval Research Logistics Quarterly 20, 225-263] inventory model with a mixture of backorders and lost sales and generalize Chu and Chung's [Chu, P., Chung, K.J., 2004. The sensitivity of the inventory model with partial backorders. European Journal of Operational Research 152, 289-295] sensitivity analysis. We provide three numerical examples to demonstrate our findings, and remark the interpretation of the global minimum of the average annual cost at which the complete backordering occurs.

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  • Leung, Kit-Nam Francis, 2009. "A generalization of sensitivity of the inventory model with partial backorders," European Journal of Operational Research, Elsevier, vol. 196(2), pages 554-562, July.
    • Handle: RePEc:eee:ejores:v:196:y:2009:i:2:p:554-562
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    References listed on IDEAS

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    1. Hwang, Hark & Hahn, Kyu Hun, 2000. "An optimal procurement policy for items with an inventory level-dependent demand rate and fixed lifetime," European Journal of Operational Research, Elsevier, vol. 127(3), pages 537-545, December.
    2. Leung, Kit-Nam Francis, 2008. "Using the complete squares method to analyze a lot size model when the quantity backordered and the quantity received are both uncertain," European Journal of Operational Research, Elsevier, vol. 187(1), pages 19-30, May.
    3. Yang, Gino K., 2007. "Note on sensitivity analysis of inventory model with partial backorders," European Journal of Operational Research, Elsevier, vol. 177(2), pages 865-871, March.
    4. Sphicas, Georghios P., 2006. "EOQ and EPQ with linear and fixed backorder costs: Two cases identified and models analyzed without calculus," International Journal of Production Economics, Elsevier, vol. 100(1), pages 59-64, March.
    5. Francis Leung, Kit-Nam, 2008. "Technical note: A use of the complete squares method to solve and analyze a quadratic objective function with two decision variables exemplified via a deterministic inventory model with a mixture of b," International Journal of Production Economics, Elsevier, vol. 113(1), pages 275-281, May.
    6. Chu, Peter & Chung, Kun-Jen, 2004. "The sensitivity of the inventory model with partial backorders," European Journal of Operational Research, Elsevier, vol. 152(1), pages 289-295, January.
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    Cited by:

    1. Brito, Anderson J. & de Almeida, Adiel T., 2012. "Modeling a multi-attribute utility newsvendor with partial backlogging," European Journal of Operational Research, Elsevier, vol. 220(3), pages 820-830.
    2. Bijvank, Marco & Vis, Iris F.A., 2011. "Lost-sales inventory theory: A review," European Journal of Operational Research, Elsevier, vol. 215(1), pages 1-13, November.
    3. San-José, Luis A. & Sicilia, Joaquín & García-Laguna, Juan, 2014. "Optimal lot size for a production–inventory system with partial backlogging and mixture of dispatching policies," International Journal of Production Economics, Elsevier, vol. 155(C), pages 194-203.
    4. San-José, L.A. & Sicilia, J. & García-Laguna, J., 2015. "Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost," Omega, Elsevier, vol. 54(C), pages 147-157.
    5. Karimi-Nasab, M. & Konstantaras, I., 2013. "An inventory control model with stochastic review interval and special sale offer," European Journal of Operational Research, Elsevier, vol. 227(1), pages 81-87.
    6. Toews, Carl & Pentico, David W. & Drake, Matthew J., 2011. "The deterministic EOQ and EPQ with partial backordering at a rate that is linearly dependent on the time to delivery," International Journal of Production Economics, Elsevier, vol. 131(2), pages 643-649, June.
    7. Pentico, David W. & Drake, Matthew J., 2011. "A survey of deterministic models for the EOQ and EPQ with partial backordering," European Journal of Operational Research, Elsevier, vol. 214(2), pages 179-198, October.

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