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Optimizing Multi-Item EOQ when the Constraint of Annual Number of Orders is Active

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  • Karzan Ghafour
  • Rezan Rashid

Abstract

The responsibility in inventory models decides of how much or how many of inventory items to order. An economic order quantity (EOQ) differs from a model to another according to the assumptions and the variables. This paper has developed the EOQ in two deterministic inventory model (Purchases with shortage and production with shortage) of multi-item when the objective function is subjected to annual number of orders. The constraints are assumed to be active if the left hand side does not satisfy the right hand side condition. Thus, Lagrange method is used to find the new multi-item EOQ in each two models with the constraint to achieve the new formula of EOQ. Finally, a numerical example is provided to justify the proposed model.

Suggested Citation

  • Karzan Ghafour & Rezan Rashid, 2017. "Optimizing Multi-Item EOQ when the Constraint of Annual Number of Orders is Active," Modern Applied Science, Canadian Center of Science and Education, vol. 11(1), pages 1-55, September.
    • Handle: RePEc:ibn:masjnl:v:11:y:2016:i:1:p:55
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    References listed on IDEAS

    as
    1. 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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    3. Khan, Mehmood & Jaber, Mohamad Y. & Bonney, Maurice, 2011. "An economic order quantity (EOQ) for items with imperfect quality and inspection errors," International Journal of Production Economics, Elsevier, vol. 133(1), pages 113-118, September.
    4. Goyal, Suresh Kumar & Cardenas-Barron, Leopoldo Eduardo, 2002. "Note on: Economic production quantity model for items with imperfect quality - a practical approach," International Journal of Production Economics, Elsevier, vol. 77(1), pages 85-87, May.
    5. Wee, H.M. & Yu, Jonas & Chen, M.C., 2007. "Optimal inventory model for items with imperfect quality and shortage backordering," Omega, Elsevier, vol. 35(1), pages 7-11, February.
    Full references (including those not matched with items on IDEAS)

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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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