Multi-objective Geometric Programming with Varying Parameters: Application in Waste Water Treatment System

In this paper a general multi-objective geometric programming problem with interval parameters is proposed, and a methodology is developed to derive its solution. The model is transformed into a general geometric programming problem, and relation between the original problem and the transformed pro...

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Main Authors: Mrinal Jana, Geetanjali Panda
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-09-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/1021
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spelling doaj-e68d9d4210f447be98d573d9eb8dfdf12021-07-02T14:02:28ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102015-09-0120510.3846/13926292.2015.1087889Multi-objective Geometric Programming with Varying Parameters: Application in Waste Water Treatment SystemMrinal Jana0Geetanjali Panda1Indian Institute of Technology Kharagpur, Kharagpur-721302, IndiaIndian Institute of Technology Kharagpur, Kharagpur-721302, India In this paper a general multi-objective geometric programming problem with interval parameters is proposed, and a methodology is developed to derive its solution. The model is transformed into a general geometric programming problem, and relation between the original problem and the transformed problem is established. Application of this discussion is illustrated in a waste water treatment model. https://journals.vgtu.lt/index.php/MMA/article/view/1021mathematical modelnonlinear problemorder relationmultivalued mapping
collection DOAJ
language English
format Article
sources DOAJ
author Mrinal Jana
Geetanjali Panda
spellingShingle Mrinal Jana
Geetanjali Panda
Multi-objective Geometric Programming with Varying Parameters: Application in Waste Water Treatment System
Mathematical Modelling and Analysis
mathematical model
nonlinear problem
order relation
multivalued mapping
author_facet Mrinal Jana
Geetanjali Panda
author_sort Mrinal Jana
title Multi-objective Geometric Programming with Varying Parameters: Application in Waste Water Treatment System
title_short Multi-objective Geometric Programming with Varying Parameters: Application in Waste Water Treatment System
title_full Multi-objective Geometric Programming with Varying Parameters: Application in Waste Water Treatment System
title_fullStr Multi-objective Geometric Programming with Varying Parameters: Application in Waste Water Treatment System
title_full_unstemmed Multi-objective Geometric Programming with Varying Parameters: Application in Waste Water Treatment System
title_sort multi-objective geometric programming with varying parameters: application in waste water treatment system
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2015-09-01
description In this paper a general multi-objective geometric programming problem with interval parameters is proposed, and a methodology is developed to derive its solution. The model is transformed into a general geometric programming problem, and relation between the original problem and the transformed problem is established. Application of this discussion is illustrated in a waste water treatment model.
topic mathematical model
nonlinear problem
order relation
multivalued mapping
url https://journals.vgtu.lt/index.php/MMA/article/view/1021
work_keys_str_mv AT mrinaljana multiobjectivegeometricprogrammingwithvaryingparametersapplicationinwastewatertreatmentsystem
AT geetanjalipanda multiobjectivegeometricprogrammingwithvaryingparametersapplicationinwastewatertreatmentsystem
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