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The deterministic EOQ and EPQ with partial backordering at a rate that is linearly dependent on the time to delivery

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  • Toews, Carl
  • Pentico, David W.
  • Drake, Matthew J.

Abstract

Our original models for the EOQ and EPQ with partial backordering assumed that the backordering rate, [beta], is a constant. In this paper we extend those models to allow [beta] to increase linearly as the time until delivery decreases. We show how those previous models can be adapted to find the optimal decision variable values for this new assumption and develop, for each model type, a condition that the initial value of [beta] must meet for partial backordering to be optimal.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:131:y:2011:i:2:p:643-649
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    References listed on IDEAS

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    1. Borgonovo, E., 2008. "Differential importance and comparative statics: An application to inventory management," International Journal of Production Economics, Elsevier, vol. 111(1), pages 170-179, January.
    2. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2009. "The deterministic EPQ with partial backordering: A new approach," Omega, Elsevier, vol. 37(3), pages 624-636, June.
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    12. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2011. "The EPQ with partial backordering and phase-dependent backordering rate," Omega, Elsevier, vol. 39(5), pages 574-577, October.
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    Cited by:

    1. 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.
    2. Wee, Hui-Ming & Wang, Wan-Tsu, 2012. "A supplement to the EPQ with partial backordering and phase-dependent backordering rate," Omega, Elsevier, vol. 40(3), pages 264-266.
    3. Pentico, David W. & Toews, Carl & Drake, Matthew J., 2015. "Approximating the EOQ with partial backordering at an exponential or rational rate by a constant or linearly changing rate," International Journal of Production Economics, Elsevier, vol. 162(C), pages 151-159.
    4. Germán Herrera Vidal & Camilo Molina Guerrero, 2024. "Deterministic ınventory models with non-perishable product: a comparative study," 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. 15(6), pages 2500-2517, June.
    5. Stojkovska, Irena, 2013. "On the optimality of the optimal policies for the deterministic EPQ with partial backordering," Omega, Elsevier, vol. 41(5), pages 919-923.

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