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Erschienen in: Optimization and Engineering 4/2016

12.10.2012

A fuzzy approach to transport optimization problem

verfasst von: Sudhagar Chandran, Ganesan Kandaswamy

Erschienen in: Optimization and Engineering | Ausgabe 4/2016

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Abstract

This paper presents an algorithm to solve a fuzzy transportation problem in which demand, supply and transportation costs are uncertain. Existing solution methods convert a fuzzy transportation problem into two or more crisp transportation problems and solves it. But, the proposed algorithm solves a fuzzy transportation problem without converting it into a crisp transportation problem. This approach results in a fuzzy total transportation cost, which is a fuzzy number. Sudhagar score method is used to rank fuzzy numbers. In comparing results of existing methods with the proposed method, this algorithm outperforms the previous ones. Two numerical examples explain working procedure of the proposed algorithm.

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Fußnoten
1
Equality is defined according to (iv) of Remark 1.
 
2
Allocations of a transportation problem are said to be in independent positions if it is not possible to alter any individual allocation without either rearranging the positions of the allocations or violating the supply and demand constraints.
 
3
An independent cell is one from which a closed path cannot be traced.
 
Literatur
Zurück zum Zitat Chanas S, Kuchta D (1996) A concept of the optimal solution of the transportation problem with fuzzy cost coefficients. Fuzzy Sets Syst 82:299–305 MathSciNetCrossRef Chanas S, Kuchta D (1996) A concept of the optimal solution of the transportation problem with fuzzy cost coefficients. Fuzzy Sets Syst 82:299–305 MathSciNetCrossRef
Zurück zum Zitat Chanas S, Kulej M (1984) A fuzzy linear programming with equality constraints. Control Cybern 13:195–201 MathSciNetMATH Chanas S, Kulej M (1984) A fuzzy linear programming with equality constraints. Control Cybern 13:195–201 MathSciNetMATH
Zurück zum Zitat Geetha S, Nair KP (1994) A stochastic bottleneck transportation problem. Opsearch 45:583–588 MATH Geetha S, Nair KP (1994) A stochastic bottleneck transportation problem. Opsearch 45:583–588 MATH
Zurück zum Zitat Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic: theory and applications. Prentice Hall, New Jersey MATH Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic: theory and applications. Prentice Hall, New Jersey MATH
Zurück zum Zitat Liu ST, Kao C (2004) Continuous optimization solving fuzzy transportation problems based on extension principle. Eur J Oper Res 153:661–674 MathSciNetCrossRefMATH Liu ST, Kao C (2004) Continuous optimization solving fuzzy transportation problems based on extension principle. Eur J Oper Res 153:661–674 MathSciNetCrossRefMATH
Zurück zum Zitat Pandian P, Natarajan G (2010a) A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems. Appl Math Sci 4:79–90 MathSciNetMATH Pandian P, Natarajan G (2010a) A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems. Appl Math Sci 4:79–90 MathSciNetMATH
Zurück zum Zitat Pandian P, Natarajan G (2010b) A optimal more for less solution to fuzzy transportation problems with mixed constraints. Appl Math Sci 4:1405–1415 MathSciNetMATH Pandian P, Natarajan G (2010b) A optimal more for less solution to fuzzy transportation problems with mixed constraints. Appl Math Sci 4:1405–1415 MathSciNetMATH
Zurück zum Zitat Reinfeld NV, Vogel WR (1958) Mathematical programming. Prentice Hall, New Jersey MATH Reinfeld NV, Vogel WR (1958) Mathematical programming. Prentice Hall, New Jersey MATH
Zurück zum Zitat Ringuest JL, Rink DB (1987) Interactive solution for the linear multi objective transportation problem. Eur J Oper Res 32:96–106 CrossRef Ringuest JL, Rink DB (1987) Interactive solution for the linear multi objective transportation problem. Eur J Oper Res 32:96–106 CrossRef
Zurück zum Zitat Sudhagar C, Ganesan K (2009) Ranking fuzzy numbers based on their scores. In: Nagoor Gani A (ed) Proceeding of international conference on mathematical methods and computation, Allied, New Delhi, pp 383–392 Sudhagar C, Ganesan K (2009) Ranking fuzzy numbers based on their scores. In: Nagoor Gani A (ed) Proceeding of international conference on mathematical methods and computation, Allied, New Delhi, pp 383–392
Zurück zum Zitat Sudhagar C, Ganesan K (2010) Fuzzy integer linear programming with fuzzy decision variables. Appl Math Sci 4:3493–3502 MathSciNetMATH Sudhagar C, Ganesan K (2010) Fuzzy integer linear programming with fuzzy decision variables. Appl Math Sci 4:3493–3502 MathSciNetMATH
Zurück zum Zitat Sudhagar C, Ganesan K (2012) On some characteristics of fuzzy number ranking method. In: Ganesan K (ed) Proceedings of national conference on mathematical techniques and applications. Allied, New Delhi, pp 373–383 Sudhagar C, Ganesan K (2012) On some characteristics of fuzzy number ranking method. In: Ganesan K (ed) Proceedings of national conference on mathematical techniques and applications. Allied, New Delhi, pp 373–383
Zurück zum Zitat Taha HA (2006) Operations research: an introduction, vol 165. Prentice Hall, New Jersey MATH Taha HA (2006) Operations research: an introduction, vol 165. Prentice Hall, New Jersey MATH
Metadaten
Titel
A fuzzy approach to transport optimization problem
verfasst von
Sudhagar Chandran
Ganesan Kandaswamy
Publikationsdatum
12.10.2012
Verlag
Springer US
Erschienen in
Optimization and Engineering / Ausgabe 4/2016
Print ISSN: 1389-4420
Elektronische ISSN: 1573-2924
DOI
https://doi.org/10.1007/s11081-012-9202-6

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