Geodesic
Optimal manufacturing batch size with rework for a finite-horizon and time-varying demand rates inventory model
Benkherouf, Lakdere1 ; Omar, Mohamed2
1 Department of Statistics and Operations Research, College of Science, Kuwait University, P.O. Box 5969, 13060 Safat, Kuwait.
2 Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 1, pp. 173-187

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This paper proposes a finite-horizon and time-varying demand rate function formulations for the optimal manufacturing batch size model with rework. The basic model is found in [Jamal et al. Comput. Ind. Eng. 47 (2004) 77–89.]. Two policies 1 and 2 are considered. In Policy 1 defective items produced in a given period are remanufactured within thesame period while Policy 2 accumulates the defective items until the last period. The search for the optimal manufacturing batch size for policies 1 and 2 is shown to reduce to the problem of determining the number of manufacturing-rework periods as well as their starting and finishing times. This leads to the examination of two mixed integer non-linear programming problem which are completely solved by appealing to some established techniques proposed in [Al-Khamis et al. Int. J. Syst. Sci. 45 (2014) 2196–2202]. Numerical results are also presented for illustration.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2016011
Classification : 90B05
Keywords: Inventory control, finite horizon problem, mixed integer non-linear programming, optimization

Benkherouf, Lakdere 1 ; Omar, Mohamed 2

1 Department of Statistics and Operations Research, College of Science, Kuwait University, P.O. Box 5969, 13060 Safat, Kuwait.
2 Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia. 
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     title = {Optimal manufacturing batch size with rework for a finite-horizon and time-varying demand rates inventory model},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {173--187},
     publisher = {EDP-Sciences},
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Benkherouf, Lakdere; Omar, Mohamed. Optimal manufacturing batch size with rework for a finite-horizon and time-varying demand rates inventory model. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 1, pp. 173-187. doi: 10.1051/ro/2016011

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