Optimizing multi-stage production with constant lot size and varying number of unequal sized batches |
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| Affiliation: | 1. Department of Neurosurgery, Lariboisière Hospital, Paris, France;3. Department of Internal Medicine, Lariboisière Hospital, Paris, France;4. Department of ENT, Lariboisière Hospital, Paris, France;5. Department of Pathology, Lariboisière Hospital, Paris, France;2. Paris-Diderot, Paris-Cité-Sorbone University, Paris, France;1. Chemical Engineering Department, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán 58060, Mexico;2. Chemical Engineering Department, Texas A&M University, College Station, TX 77843, USA;3. Adjunct Faculty at the Chemical and Materials Engineering Department, King Abdulaziz University, Jeddah, Saudi Arabia;1. Department of Management, Faculty of Management, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia;2. Department of Mechanical Engineering, École Polytechnique de Montréal, C.P. 6079 Succ. Centre-Ville, Montréal, Quebec, Canada H3C3A7;3. Department of Mathematic, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia. |
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| Abstract: | This paper describes a model for a multi-stage production/inventory system in which a uniform lot size is produced through all stages with a single setup and without interruption at each stage. Partial lots, called batches, may be transported to the next stage upon completion. The number of the unequal sized batches may differ across stages. Considering setup costs, inventory holding costs, and transportation costs, an optimization method is developed to determine the economic lot size and the optimal batch sizes for each stage. The method is illustrated by a computational example and further numerical simulations. |
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