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A chain has to decide the location and design for a single new facility in a region where a set of facilities already exists offering the same type of product. Some of the existing facilities belong to the chain and the others are competitors. Since competition comes from outside the chain, the maximization of the profit is the main objective of the chain’s owner. Customers are supposed to patronize all the facilities, the old and the new, proportionally to the attraction they feel for them. The entrance of the new facility may thus also have a detrimental effect on the market shares of the existing chain-owned facilities, and this cannibalization should be minimized as a secondary objective. This problem is formulated as a biobjective optimization problem, and a variant of the lexicographic method is proposed to generate certain efficient solutions. This requires solving two related optimization problems, both neither convex nor concave, for which a unified interval branch and bound method is developed. Computational experiments on randomly generated problems show the feasibility of the approach, while an application of the model with real data demonstrates its use for economical analysis. This paper has been supported by the Ministry of Education and Science of Spain under the research project SEJ2005-06273/ECON, in part financed by the European Regional Development Fund (ERDF). Boglárka Tóth, on leave from the Research Group on Artificial Intelligence of the Hungarian Academy of Sciences and the University of Szeged, H-6720 Szeged, Aradi vértanúk tere 1., Hungary.  相似文献
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为了将应急物资快速准确地配送至灾区, 在考虑灾后应急物资保障阶段性特征的基础上, 构建了一个以应急物资未满足率最小、系统总时间最短以及系统总成本最小为目标的多周期混合整数规划模型, 模型考虑了应急配送中心定位及多种类应急物资联运等问题。采用GAMS软件编程, 并用分层序列法求解多目标规划。以“4·20”四川芦山地震为例验证模型的可行性和有效性, 结果表明该模型能有效地解决灾后应急物资保障的定位—联运问题。  相似文献
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陈琼 《微机发展》2008,(6):125-127
满意控制作为预测控制的实用发展,是基于模型在线实现有约束多目标多自由度优化(CMMO),并由操作者参与决策的一种实用控制方法。针对有约束多目标多自由度优化中输出变量逼进期望值时存在的优先级结构,将一般的用二次规划表示的满意优化控制问题转化为一个分两层进行的直接优先级优化的满意优化控制问题,使用宽容分层优化方法进行分层,使用变可行域优化方法进行每层的优化,最终决策者得到满意解。  相似文献
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