一个具有多选择参数的线性分式双层规划问题

IF 0.4 Q4 ECONOMICS

Croatian Operational Research Review Pub Date : 2017-12-30 DOI:10.17535/crorr.2017.0032

R. Arora, Kavita Gupta

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引用次数: 0

摘要

双层规划问题（BLPP）是一个层次优化问题，其中上层的约束区域由下层优化问题隐式确定。本文考虑了一个双层规划问题，其中目标函数是线性分式的，可行域是凸多面体。BLPP中的线性分式目标在生产规划、财务规划、企业规划等方面都很有用。这里，目标函数的成本系数是多选参数。使用插值多项式替换多选参数。然后，使用模糊规划来寻找变换后的BLPP的折衷解。开发了一种算法来寻找BLPP的折衷解决方案。通过实例说明了该方法。

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A linear fractional bilevel programming problem with multichoice parameters

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.

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来源期刊

Croatian Operational Research Review ECONOMICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

22 weeks

期刊介绍： Croatian Operational Research Review (CRORR) is the journal which publishes original scientific papers from the area of operational research. The purpose is to publish papers from various aspects of operational research (OR) with the aim of presenting scientific ideas that will contribute both to theoretical development and practical application of OR. The scope of the journal covers the following subject areas: linear and non-linear programming, integer programing, combinatorial and discrete optimization, multi-objective programming, stohastic models and optimization, scheduling, macroeconomics, economic theory, game theory, statistics and econometrics, marketing and data analysis, information and decision support systems, banking, finance, insurance, environment, energy, health, neural networks and fuzzy systems, control theory, simulation, practical OR and applications. The audience includes both researchers and practitioners from the area of operations research, applied mathematics, statistics, econometrics, intelligent methods, simulation, and other areas included in the above list of topics. The journal has an international board of editors, consisting of more than 30 editors – university professors from Croatia, Slovenia, USA, Italy, Germany, Austria and other coutries.