A just-in-time three-level integrated manufacturing system for linearly time-varying demand process |
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Authors: | M Omar R Sarker WAM Othman |
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Institution: | 1. Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur 50603, Malaysia;2. School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra 2600, Australia |
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Abstract: | This paper considers a just-in-time (JIT) manufacturing system in which a single manufacturer procures raw materials from a single supplier, process them to produce finished products, and then deliver the products to a single-buyer. The customer demand rate is assumed to be linearly decreasing time-varying. In the JIT system, in order to minimize the suppliers as well as the buyers holding costs, the supply of raw materials and the delivery of finished products are made in small quantities. In this case, both the supply and the delivery may require multiple installments for a single production lot. We develop a mathematical model for this problem, propose a simple methodology for solving the model, and illustrate the effectiveness of the method with numerical examples. |
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Keywords: | Inventory Linear time-varying demand Integrated Just-in-time Infinite horizon |
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