{"title":"A Novel Approach for Solving Quadratic Fractional Programming Problems","authors":"M. Sivri, Inci Albayrak, Gizem Temelcan","doi":"10.17535/CRORR.2018.0015","DOIUrl":null,"url":null,"abstract":"In this paper, the quadratic fractional programming (QFP) problems involving a factorized or not-factorized objective function and subject to homogenous or non-homogenous constraints is considered. Our proposed approach depends on a computational method that converts QFP problem into a linear programming (LP) problem by using a Taylor series to solve the problem algebraically. This approach, based on the solution of LP problems can be applied to various types of of nonlinear fractional programming problems containing nonlinear constraint(s) and minimizes the total execution time on iterative operations. To illustrate the solution process, two examples are presented and the proposed approach is compared with other two existing methods for solving QFP problems.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"1 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2018-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.17535/CRORR.2018.0015","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Croatian Operational Research Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17535/CRORR.2018.0015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 5
Abstract
In this paper, the quadratic fractional programming (QFP) problems involving a factorized or not-factorized objective function and subject to homogenous or non-homogenous constraints is considered. Our proposed approach depends on a computational method that converts QFP problem into a linear programming (LP) problem by using a Taylor series to solve the problem algebraically. This approach, based on the solution of LP problems can be applied to various types of of nonlinear fractional programming problems containing nonlinear constraint(s) and minimizes the total execution time on iterative operations. To illustrate the solution process, two examples are presented and the proposed approach is compared with other two existing methods for solving QFP problems.
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.
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