The EOQ repair and waste disposal model with variable setup numbers |
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| Institution: | 1. Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran;2. School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran;1. LOCIE, Université de Savoie, Savoie Technolac, 73376 Le Bourget du Lac, France;2. CEA-INES, Savoie Technolac, 73377 Le Bourget du Lac;4. CRESSON, 60 avenue de Constantine, 38036 Grenoble;1. State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, Beijing 100083, China;2. School of Metallurgy and Ecology Engineering, University of Science and Technology Beijing, Beijing 100083, China;3. Tangshan Iron and Steel Company of Hebei Iron and Steel Group, Tangshan 063016, Hebei, China;1. Industrial Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran;2. Department of Information, Logistics and Innovation, VU University Amsterdam, Amsterdam, The Netherlands;3. University of New South Wales, Canberra, Australia |
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| Abstract: | In a previous paper the author discussed an EOQ model in which the stationary demand can be satisfied by newly made products and by repaired used products. In the modelled situation some share of the used products is collected and later repaired; the other products are disposed outside according to some waste disposal rate. In the present paper this model is extended to the case of variable setup numbers n and m for production and repair within some collection time interval. First, for a fixed waste disposal rate the cost optimal setup numbers and the minimum cost are determined. Secondly, the minimum cost is analysed as a function of this rate and it is shown to be convex for small and medium waste disposal rates and to be concave for large rates. Thirdly, the existence and generation of cost optimal waste disposal rates are discussed. |
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