涉及线性分数函数的二级程序

IF 1.4 Q3 SOCIAL SCIENCES, MATHEMATICAL METHODS

Decisions in Economics and Finance Pub Date : 2024-04-09 DOI:10.1007/s10203-024-00444-2

Riccardo Cambini, Giovanna D’Inverno

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引用次数: 0

摘要

本文旨在深化对具有多面体可行区域的秩二非凸问题求解方法的研究，该问题通过等式、不等式和盒式约束来表示、and objective function in the form of $\phi \left( c^Tx+c_0,\frac{d^Tx+d_0}{b^Tx+b_0}\right) $ or $\bar{\phi }left( \frac{bar{c}^Ty+bar{c}_0}{a^Ty+a_0}, \frac{d^Ty+d_0}{b^Ty+b_0}\right) $。这些问题出现在双标准方案、定量管理科学、数据包络分析、效率分析和绩效测量中。理论结果得到了证明，并应用于提出一种求解算法。提供了计算结果，比较了各种分割标准。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Rank-two programs involving linear fractional functions$

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Rank-two programs involving linear fractional functions

The aim of this paper is to deepen the study of solution methods for rank-two nonconvex problems with polyhedral feasible region, expressed by means of equality, inequality and box constraints, and objective function in the form of $\phi \left( c^Tx+c_0,\frac{d^Tx+d_0}{b^Tx+b_0}\right) $ or $\bar{\phi }\left( \frac{\bar{c}^Ty+\bar{c}_0}{a^Ty+a_0}, \frac{d^Ty+d_0}{b^Ty+b_0}\right) $. These problems arise in bicriteria programs, quantitative management science, data envelopment analysis, efficiency analysis and performance measurement. Theoretical results are proved and applied to propose a solution algorithm. Computational results are provided, comparing various splitting criteria.

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来源期刊

Decisions in Economics and Finance SOCIAL SCIENCES, MATHEMATICAL METHODS-

CiteScore

2.50

自引率

9.10%

发文量

期刊介绍： Decisions in Economics and Finance: A Journal of Applied Mathematics is the official publication of the Association for Mathematics Applied to Social and Economic Sciences (AMASES). It provides a specialised forum for the publication of research in all areas of mathematics as applied to economics, finance, insurance, management and social sciences. Primary emphasis is placed on original research concerning topics in mathematics or computational techniques which are explicitly motivated by or contribute to the analysis of economic or financial problems.