Combining minsum and minmax: A goal programming approach

成果类型:
Article
署名作者:
Carrizosa, E; Romero-Morales, D
署名单位:
University of Sevilla; Erasmus University Rotterdam - Excl Erasmus MC; Erasmus University Rotterdam; University of Sevilla
刊物名称:
OPERATIONS RESEARCH
ISSN/ISSBN:
0030-364X
DOI:
10.1287/opre.49.1.169.11190
发表日期:
2001
页码:
169-174
关键词:
摘要:
A number of methods for multiple-objective optimization problems (MOP) give as solution to MOP the set of optimal solutions for some single-objective optimization problems associated with it. Well-known examples of these single-objective optimization problems are the minsum and the minmax. In this note, we propose a new parametric single-objective optimization problem associated with MOP by means of Goal Programming ideas. We show that. the minsum and minmax are particular instances, so we are somehow combining minsum and minmax by means of a parameter. Moreover, such parameter has a clear meaning in the value space. Applications of this parametric problem to classical models in Locational Analysis are discussed.