A Markovian approach for multi-level multi-product multi-period capacitated lot-sizing problem with uncertainty in levels |
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Authors: | J. Behnamian B. Karimi M. Fadaei Moludi |
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Affiliation: | 1. Department of Industrial Engineering, Faculty of Engineering, Bu-Ali Sina University, Hamedan, Iran;2. Department of Industrial Engineering, Amirkabir University of Technology, Tehran, Iran |
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Abstract: | This paper considers a multi-level, multi-item, multi-period capacitated lot-sizing problem with sequence-dependent family set-up times, set-up carry over and uncertainty in levels due to uncertainty in inspection, rework and scrap. In this study, we, first, determined total processing time for each product of each family. Then, expected number of times associated with visiting each level of each product as well as amount of raw materials are calculated. We developed a mixed integer linear programming model with a numerical example and sensitivity analysis. |
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Keywords: | capacitated lot-sizing absorbing Markov chain uncertainty in levels scrap binominal experiments multi-level production planning |
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