Economic Order Quantity for Growing Items with Discrete Orders
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 allow...
Main Authors: | , |
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Format: | Article |
Language: | fas |
Published: |
Semnan University
2019-04-01
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Series: | مجله مدل سازی در مهندسی |
Subjects: | |
Online Access: | https://modelling.semnan.ac.ir/article_3823_a8658c0c1691e44d7ef04c54e535be6e.pdf |
Summary: | 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. |
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ISSN: | 2008-4854 2783-2538 |