Quasiconvex constrained multicriteria continuous location problems: Structure of nondominated solution sets

Quasiconvex constrained multicriteria continuous location problems: Structure of nondominated solution sets
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拟凸约束多准则连续定位问题:非支配解集的结构

DOI:
10.1016/j.cor.2006.05.002
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发表时间:
2008
期刊:
Comput. Oper. Res.
影响因子:
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通讯作者:
A. M. Rodríguez‐Chía
A. M. Rodríguez‐Chía
中科院分区:
--
文献类型:
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作者:
J. Puerto;A. M. Rodríguez‐Chía

文献摘要

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本文考虑二维空间中的约束多目标连续定位问题。在文献中,连续的多目标定位问题在二维空间中得到了特别的关注,在过去的几年中,虽然只有特定的凸函数的情况下被认为是。我们的方法只要求函数是严格拟凸的和inf-compact的。我们得到了一个几何描述,提供了一个统一的方法来处理多准则的位置模型在二维空间中已实施的MATHEMATICA。
In this paper, we consider constrained multicriteria continuous location problems in two-dimensional spaces. In the literature, the continuous multicriteria location problem in two-dimensional spaces has received special attention in the last years, although only particular instances of convex functions have been considered. Our approach only requires the functions to be strictly quasiconvex and inf-compact. We obtain a geometrical description that provides a unified approach to handle multicriteria location models in two-dimensional spaces which has been implemented in MATHEMATICA.