文章基本信息

标题：A linear fractional bilevel programming problem with multichoice parameters
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作者：Arora, Ritu ; Gupta, Kavita
期刊名称：Croatian Operational Research Review
印刷版ISSN：1848-0225
出版年度：2017
卷号：8
期号：2
页码：499-513
DOI：10.17535/crorr.2017.0032
语种：English
出版社：Croatian Operational Research Society
摘要：A bilevel programming problem (BLPP) is a hierarchical optimization problem where the constraint region of the upper level is implicitly determined by the lower level optimization problem. In this paper, a bilevel programming problem is considered in which the objective functions are linear fractional and the feasible region is a convex polyhedron. Linear fractional objectives in BLPP are useful in production planning, financial planning, corporate planning and so forth. Here, the cost coefficient of the objective functions are multi-choice parameters. The multi-choice parameters are replaced using interpolating polynomials. Then, fuzzy programming is used to find a compromise solution of the transformed BLPP. An algorithm is developed to find a compromise solution of BLPP. The method is illustrated with the help of an example.
关键词：bilevel programming; linear fractional programming problem; fuzzy programming; compromise solution; multi-choice parameters