An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production Rate
Extensive research has been devoted to economic production quantity (EPQ) problem. However, no attention has been paid to problems where unit production and set-up costs must be considered as functions of production rate. In this paper, we address the problem of determining the optimal production qu...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/727685 |
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| author | Behrouz Afshar-Nadjafi |
| author_facet | Behrouz Afshar-Nadjafi |
| author_sort | Behrouz Afshar-Nadjafi |
| collection | DOAJ |
| description | Extensive research has been devoted to economic production quantity (EPQ) problem. However, no attention has been paid to problems where unit production and set-up costs must be considered as functions of production rate. In this paper, we address the problem of determining the optimal production quantity and rate of production in which unit production and set-up costs are assumed to be continuous functions of production rate. Based on the traditional economic production quantity (EPQ) formula, the cost function associated with this model is proved to be nonconvex and a procedure is proposed to solve this problem. Finally, utility of the model is presented using some numerical examples and the results are analyzed. |
| format | Article |
| id | doaj-art-136bd5374e2a42a0a107908b40e5865a |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-136bd5374e2a42a0a107908b40e5865a2025-02-03T06:05:57ZengWileyModelling and Simulation in Engineering1687-55911687-56052013-01-01201310.1155/2013/727685727685An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production RateBehrouz Afshar-Nadjafi0Faculty of Industrial and Mechanical Engineering, Islamic Azad University, Qazvin Branch, P.O. Box 34185-1416, Qazvin 34185-14161, IranExtensive research has been devoted to economic production quantity (EPQ) problem. However, no attention has been paid to problems where unit production and set-up costs must be considered as functions of production rate. In this paper, we address the problem of determining the optimal production quantity and rate of production in which unit production and set-up costs are assumed to be continuous functions of production rate. Based on the traditional economic production quantity (EPQ) formula, the cost function associated with this model is proved to be nonconvex and a procedure is proposed to solve this problem. Finally, utility of the model is presented using some numerical examples and the results are analyzed.http://dx.doi.org/10.1155/2013/727685 |
| spellingShingle | Behrouz Afshar-Nadjafi An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production Rate Modelling and Simulation in Engineering |
| title | An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production Rate |
| title_full | An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production Rate |
| title_fullStr | An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production Rate |
| title_full_unstemmed | An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production Rate |
| title_short | An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production Rate |
| title_sort | epq model with unit production cost and set up cost as functions of production rate |
| url | http://dx.doi.org/10.1155/2013/727685 |
| work_keys_str_mv | AT behrouzafsharnadjafi anepqmodelwithunitproductioncostandsetupcostasfunctionsofproductionrate AT behrouzafsharnadjafi epqmodelwithunitproductioncostandsetupcostasfunctionsofproductionrate |