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FUZZY EPQ INVENTORY MODELS WITH BACKORDER

Journal of Systems Science & Complexity 2009年第2期22卷 313-323页

作者： Xiaobin WANG Wansheng TANG School of Computer and Information Engineering Shandong University of Finance Jinan 250014 China. Institute of Systems Engineering Tianjin University Tianjin 300072 China.

This paper considers the economic production quantity （EPQ） problem with backorder in which the setup cost, the holding cost and the backorder cost are characterized as fuzzy variables, respectively. Following expected value criterion and chance constrained criterion, a fuzzy expected value model （EVM） and a chance constrained programming （CCP） model are constructed. Then fuzzy simulations are employed to estimate the expected value of fuzzy variable and c^-level minimal average cost. In order to solve the CCP model, a particle swarm optimization （PSO） algorithm based on the fuzzy simulation is designed. Finally, the effectiveness of PSO algorithm based on the fuzzy simulation is illustrated by a numerical example.

关键词： economic production quantity fuzzy simulation fuzzy variable inventory PSO.

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Material Flow Optimization for Make-to-Stock production System

引用

厦门大学学报（自然科学版） 2002年第S1期41卷 232-233页

作者： ZHANG Bi-xi, ZHAO Wei, LIAO Zhao-hui, WANG Jun (economic Management Faculty, Guangdong University of Technology, Gua ngzhou 510090, China)

Under the condition of the market competition becom in g more and more drastic, the demands of market take on some new features such as individuation, diversification, small batch, unstableness and quick delivery et c. The Make-to-Stock mode is usually adopted by many enterprises to improve th e balance and stableness of production process. In such enterprises, order batch , production batch and sales batch are the important factors, which affect the s atisfaction of clients, efficiency and benefit of the enterprise. It takes purch ase, production and sales into account respectively when optimizing product batc h in traditional way. However, it ignored the influences of relations between ea ch links of whole system. It is assumed that the consumption and market demand a re continuous process whereas the factual demands are batched when economic batc h is determined. So there exist some deviations between the economic batch deter mined by traditional way and that by integral optimization. Through the integral analysis of Logistics in the production system, we know that from materials are purchased, then manufactured, finally sold, the material changed in appearance and value, it still exist in different links of production system. The amount of materials occupied varies just in different status, from stock status to produc tion status, then to waiting-be-sold status, there is not any substantial chan ge in quantity until they are sold. So we must comprehensively analyze the relat ions among each link based on integral production system, to optimize the materi al batch and cut short production cycle in order to optimize the whole system. In this paper, the production system is taken as a global entity, and in which m aterials variation law and their relations of each link are analyzed; To optimiz e the whole materials flow, a new model of multi-product systems’ economic orde r batch, economic production batch and optimal sale lot multi-product syste ms’ is developed w

关键词： discrete production system economic order quanti ty economic production quantity distribution batch size

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