Multi-objective probabilistic fractional programming problem involving two parameters Cauchy distribution

The paper presents the solution methodology of a multi-objective probabilistic fractional programming problem, where the parameters of the right hand side constraints follow Cauchy distribution. The proposed mathematical model can not be solved directly. The solution procedure is completed in three...

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Vydané v:Mathematical modelling and analysis Ročník 24; číslo 3; s. 385 - 403
Hlavní autori: Acharya, Srikumar, Belay, Berhanu, Mishra, Rajashree
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Vilnius Vilnius Gediminas Technical University 06.06.2019
Predmet:
Cauchy problem
fractional programming problem
Mathematical models
Mathematical programming
Mathematical research
multi-objective programming problem
Multiple objective analysis
Nonlinear programming
Parameters
probabilistic programming problem
Probability distributions
ε -constraint method
India
probabilistic programming problem
fractional programming problem
ε -constraint method
multi-objective programming problem
ISSN:1392-6292, 1648-3510
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Shrnutí:The paper presents the solution methodology of a multi-objective probabilistic fractional programming problem, where the parameters of the right hand side constraints follow Cauchy distribution. The proposed mathematical model can not be solved directly. The solution procedure is completed in three steps. In first step, multi-objective probabilistic fractional programming problem is converted to deterministic multi-objective fractional mathematical programming problem. In the second step, it is converted to its equivalent multi-objective mathematical programming problem. Finally, ε -constraint method is applied to find the best compromise solution. A numerical example and application are presented to demonstrate the procedure of proposed mathematical model.  
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2019.024