Using the complete squares method to solve and analyze "Optimal inventory policies when the quantity backordered is uncertain"
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| Format: | Artículo científico |
| Language: | en |
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International Journal of Combinatorial Optimization Problems and Informatics
2012
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| _version_ | 1876440886755196928 |
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| author | Kit-Nam Francis Leung |
| author_facet | Kit-Nam Francis Leung |
| contents | Using the complete squares method to solve and analyze "Optimal inventory policies when the quantity backordered is uncertain" Kit-Nam Francis Leung Computación Non convex The complete squares method Uncertain partial backorders Several researchers have recently derived formulae for economic order quantities(EOQs) with some variants without reference to the use of derivatives, neither for first-order necessary conditions nor for second-order sufficient conditions. In addition, this algebraic derivation immediately produces an individual formula for evaluating the minimum expected total annual cost. The purpose of this study is twofold. Solving Mak's (1986) model, i.e. the EOQ model taking into account the case of uncertain partial backordering, using the complete squares method, first we can readily derive global optimal expressions from a non-convex objective function in an algebraic manner, second we can straightforwardly identify some analytic cases in a way that is not as easy to do this using decomposition by projection. A numerical example has been solved to illustrate the solution procedure. Finally, concluding remarks are drawn. 2012 artículo científico 2007-1558 https://www.redalyc.org/articulo.oa?id=265224452003 en http://www.redalyc.org/revista.oa?id=2652 International Journal of Combinatorial Optimization Problems and Informatics application/pdf International Journal of Combinatorial Optimization Problems and Informatics International Journal of Combinatorial Optimization Problems and Informatics (México) Num.3 Vol.3 |
| format | Artículo científico |
| id | redalyc_265224452003 |
| institution | Redalyc |
| language | en |
| publishDate | 2012 |
| publisher | International Journal of Combinatorial Optimization Problems and Informatics |
| spellingShingle | Using the complete squares method to solve and analyze "Optimal inventory policies when the quantity backordered is uncertain" Kit-Nam Francis Leung Computación Non convex The complete squares method Uncertain partial backorders Using the complete squares method to solve and analyze "Optimal inventory policies when the quantity backordered is uncertain" Kit-Nam Francis Leung Computación Non convex The complete squares method Uncertain partial backorders Several researchers have recently derived formulae for economic order quantities(EOQs) with some variants without reference to the use of derivatives, neither for first-order necessary conditions nor for second-order sufficient conditions. In addition, this algebraic derivation immediately produces an individual formula for evaluating the minimum expected total annual cost. The purpose of this study is twofold. Solving Mak's (1986) model, i.e. the EOQ model taking into account the case of uncertain partial backordering, using the complete squares method, first we can readily derive global optimal expressions from a non-convex objective function in an algebraic manner, second we can straightforwardly identify some analytic cases in a way that is not as easy to do this using decomposition by projection. A numerical example has been solved to illustrate the solution procedure. Finally, concluding remarks are drawn. 2012 artículo científico 2007-1558 https://www.redalyc.org/articulo.oa?id=265224452003 en http://www.redalyc.org/revista.oa?id=2652 International Journal of Combinatorial Optimization Problems and Informatics application/pdf International Journal of Combinatorial Optimization Problems and Informatics International Journal of Combinatorial Optimization Problems and Informatics (México) Num.3 Vol.3 |
| title | Using the complete squares method to solve and analyze "Optimal inventory policies when the quantity backordered is uncertain" |
| topic | Computación Non convex The complete squares method Uncertain partial backorders |
| url | https://www.redalyc.org/articulo.oa?id=265224452003 |