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Determining a common production cycle time for an economic lot scheduling problem with deteriorating items
Institution:1. Department of Industrial Engineering and Management, Chaoyang University of Technology, Wufong, Taichung 413, Taiwan;2. Department of Finance, Chaoyang University of Technology, Wufong, Taichung 413, Taiwan;1. Laboratoire CERBA, 95066 Cergy-Pontoise cedex 9, France;2. Service de médecine polyvalente, Centre hospitalier Antoine Gayraud, 11890 Carcassonne cedex 9, France;3. Service d''hématologie biologique, GH Henri-Mondor, 51 avenue du Maréchal de Lattre de Tassigny, 94010 Créteil Cedex, France;4. Unité de Pathologie Moléculaire du Globule Rouge, Laboratoire de Biochimie et Biologie moléculaire, Hôpital Edouard Herriot, Hospices Civils de Lyon & Université Claude Bernard-Lyon 1, Lyon, France;1. INESC TEC, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, 4600–001 Porto, Portugal;2. CEG-IST, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-101 Lisboa, Portugal;2. Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA
Abstract:This paper considers the economic lot scheduling problem (ELSP) for a production-inventory system where items produced are subject to continuous deterioration. The problem is to schedule multiple products to be manufactured on a single machine repetitively over an infinite planning horizon. Each product is assumed to have a significant rate of deterioration. Only one product can be manufactured at a time. The demand rate for each product is constant, but an exponential distribution is used to represent the distribution of the time to deterioration. A common cycle time policy is assumed in the production process. A near optimal production cycle time is derived under conditions of continuous review, deterministic demand, and no shortage.
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