Economic Order Quantity for Growing Items with Discrete Orders

Document Type : Industry Article

Authors

1 Islamic Azad University

2 Scholl of Industrial Engineering, College of Engineering, University of Tehran

Abstract

This paper presents an economic order quantity model (EOQ) for growing items. In this inventory system, a buyer orders those items such as livestock and poultry, after a period of time grow and reach their ideal weight. Then, the company slaughters and sells items to customers. Shortage is not allowed and the order number must be integer values. Due to this, we have an integer non-linear programming problem and assumed that the items with a linear approximation grow and after reaching to the ideal weight become ready for consumption. We proved that the proposed model is a convex programming problem to obtain an optimal solution regardless of the integer of the order. Then, according to the value obtained, a solution algorithm for integer optimal solution is developed. At the end, we use a hypothetical numerical example to explain and express the proposed model and solution method. Also, we've done a sensitivity analysis showing the impact of each parameter on the objective function and order quantity values.

Keywords

Main Subjects

References

[1] A.H. Nobil and A.A. Taleizadeh, "A single machine EPQ inventory model for a multi-product imperfect production system with rework process and auction", International Journal of Advanced Logistics, Vol. 5, No. 3-4, September 2016, pp. 141-152.
[2] A.H. Nobil, A.H.A. Sedigh and L.E. Cárdenas-Barrón, "A multi-machine multi-product EPQ problem for an imperfect manufacturing system considering utilization and allocation decisions", Expert Systems with Applications, Vol. 56, September 2016, pp. 310-319.
[3] J. García-Laguna, L.A. San-José, L.E. Cárdenas-Barrón and J. Sicilia, "The integrality of the lot size in the basic EOQ and EPQ models: applications to other production-inventory models", Applied Mathematics and Computation, Vol. 216, May 2010, pp. 1660-1672.
[ 4]  عطاءالله طالعیزاده و امیرحسین نوبیل، « تعیین اندازه انباشته با در نظر گرفتن کالاهای معیوب تحت محدودیت و هزینه احداث فضا»، مجلۀ مدلسازی در مهندسی، دوره 15 ، شماره 51 ، زمستان 1396 ، صفحه 43 - 50 .
[ 5] ساموئل یوسفی و مصطفی جهانگشای رضائی، " ارائه مدل ترکیبی برای انتخاب تأمین کنندگان کارا در محیط رقابتی و تحت عدم قطعیت تقاضا "، مجلۀ مدلسازی در مهندسی، دوره 15 ، شماره 51 ، زمستان 1396 ، صفحۀ 299 - 317 .
[ 6] عطاءالله طالعیزاده و زاهده چراغی، "قیمت گذاری و بازاریابی در یک زنجیره تأمین دوسطحی تحت چهار رویکرد نظریه بازیها "، مجله مدلسازی در مهندسی، دوره 13 ، شماره 42 ، پاییز 1394 ، صفحه 135 - 149 .
[7] A.A. Taleizadeh, B. Mohammadi, L.E. Cárdenas-Barrón and H. Samimi, "An EOQ model for perishable product with special sale and shortage", International Journal of Production Economics, Vol. 145, No. 1, September 2013, pp. 318-338.
[8] G. Dobson, E.J. Pinker and O. Yildiz, "An EOQ model for perishable goods with age-dependent demand rate", European Journal of Operational Research, Vol. 257, No. 1, February 2017, pp. 84-88.
[9] T. Avinadav, T. Chernonog, Y. Lahav and U. Spiegel, "Dynamic pricing and promotion expenditures in an EOQ model of perishable products", Annals of Operations Research, Vol. 248, No. 1-2, January 2017, pp. 1-17.
[10] J.J. Liao, K.N. Huang and K. J. Chung, "Optimal pricing and ordering policy for perishable items with limited storage capacity and partial trade credit", IMA Journal of Management Mathematics, Vol. 24, No. 1, March 2012, pp. 45-61.
[11] O. Boxma, D. Perry and S. Zacks, "A fluid EOQ model of perishable items with intermittent high and low demand rates", Mathematics of Operations Research, Vol., 40, No. 2, August 2014, pp. 390-402.
[12] S.K. Goyal and B.C. Giri, "Recent trends in modeling of deteriorating inventory", European Journal of operational research, Vol. 134, No. 1, Octebor 2001, pp. 1-16.
[13] M. Bakker, J. Riezebos and R.H. Teunter, "Review of inventory systems with deterioration since 2001", European Journal of Operational Research, Vol. 221, No. 2, September 2012, pp. 275-284.
[14] J. Rezaei, "Economic order quantity for growing items", International Journal of Production Economics, Vol. 155, September 2014, pp. 109-113.
Journal of Modeling in Engineering
Volume 17, Issue 56
April 2019
Pages 123-129

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History

  • Receive Date: 22 April 2018
  • Revise Date: 07 May 2018
  • Accept Date: 30 May 2018

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