Multicriteria Optimization (2. ed.)
Multicriteria Optimization (2. ed.)
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DOI：
10.1007/3-540-27659-9
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发表时间：
2005-05
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影响因子：
--
通讯作者：
Matthias Ehrgott
中科院分区：
文献类型：
--
作者：
Matthias Ehrgott
许多领域的决策者，从工业到工程和社会部门，在其决策过程中面临着越来越多的需要考虑多个相互冲突的目标。在许多情况下，这些现实世界的决策问题可以用多目标数学优化模型来表示。这类模型的求解需要适当的技术来计算所谓的有效或帕累托最优，或折衷的解--与传统的数学规划方法不同--考虑到标准的矛盾性质。这本书提供了必要的多准则优化的数学基础，以解决多准则的非线性、线性和组合问题。激励性的例子说明了多准则优化在实践中的应用。提供了大量的插图和练习以及广泛的参考书目。在新版中增加了关于最优条件的一章。线性规划部分已得到扩展，并包括了新的发展。此外，励志的例子现在正在介绍大部分章节。
Decision makers in many areas, from industry to engineering and the social sector, face an increasing need to consider multiple, conflicting objectives in their decision processes. In many cases these real world decision problems can be formulated as multicriteria mathematical optimization models. The solution of such models requires appropriate techniques to compute so called efficient, or Pareto optimal, or compromise solutions that-unlike traditional mathematical programming methods-take the contradictory nature of the criteria into account. This book provides the necessary mathematical foundation of multicriteria optimization to solve nonlinear, linear and combinatorial problems with multiple criteria. Motivational examples illustrate the use of multicriteria optimization in practice. Numerous illustrations and exercises as well as an extensive bibliography are provided. In the new edition a chapter on optimality conditions has been added. The linear programming part has been extended and includes new developments. Moreover, motivational examples are now introducing the majority of chapters.