A stochastic technique to solve interval non-linear programming problems using GH-difference

IF 1.5 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Shaveta Kumari, Saurabh Srivastava
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引用次数: 0

Abstract

Purpose

A stochastic technique for solving interval non-linear problems using generalized Hukuhara (GH)-difference is proposed. The non-linear programming problem in interval form is transformed into an equivalent non-linear programming problem with real coefficients by associating a Gaussian random variable to the interval and the six-sigma rule. The conceptualized idea eliminates the decision maker’s instinctive selection of weight functions and provides an alternative to the order relation method, max-min criteria-based methods and bi-level approaches for representing intervals as real numbers. To demonstrate a coherent understanding, numerical examples have been used.

Design/methodology/approach

A stochastic approach has been used to develop a solution technique for solving interval nonlinear programming problems which arise in the modeling of scientific and engineering problems under uncertain environments.

Findings

The proposed idea eliminates the decision maker’s instinctive selection of weight functions and provides an alternative to the order relation method, max-min criteria-based methods and bi-level approaches for representing intervals as real numbers. This method provides specific results rather than in the interval form, which are more practical and implementable by the decision maker.

Originality/value

This is to certify, that the research paper submitted is an outcome of original work. I have duly acknowledged all the sources from which the ideas and extracts have been taken. This article has not been submitted elsewhere for publication.

利用 GH 差分解决区间非线性程序设计问题的随机技术
目的 提出了一种利用广义赫库哈拉(GH)差分解决区间非线性问题的随机技术。通过将高斯随机变量与区间和六西格玛规则联系起来,将区间形式的非线性程序设计问题转化为具有实系数的等价非线性程序设计问题。这种概念化的想法消除了决策者对权重函数的本能选择,并为将区间表示为实数的阶次关系法、基于最大最小准则的方法和双层方法提供了替代方案。研究结果所提出的想法消除了决策者对权重函数的本能选择,为将区间表示为实数的阶次关系法、基于最大最小准则的方法和双级方法提供了替代方案。这种方法提供了具体的结果,而不是区间形式的结果,这对决策者来说更实用,也更容易实现。原创性/价值兹证明,所提交的研究论文是本人原创性工作的成果。我已正式确认所有观点和摘录的来源。本文未曾在其他地方发表。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Engineering Computations
Engineering Computations 工程技术-工程:综合
CiteScore
3.40
自引率
6.20%
发文量
61
审稿时长
5 months
期刊介绍: The journal presents its readers with broad coverage across all branches of engineering and science of the latest development and application of new solution algorithms, innovative numerical methods and/or solution techniques directed at the utilization of computational methods in engineering analysis, engineering design and practice. For more information visit: http://www.emeraldgrouppublishing.com/ec.htm
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