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A Solution Proposal To Indefinite Quadratic Interval Transportation Problem

Year 2013, Volume: 1 Issue: 2, 7 - 12, 01.08.2013

Hasan Dalman Hale Gonce Köçken Mustafa Sivri

Abstract

The data of real world applications generally cannot be expressed strictly. An efficient way of handling this situation is expressing the data as intervals. Thus, this paper focus on the Indefinite Quadratic Interval Transportation Problem (IQITP) in which all the parameters i.e. cost and risk coefficients of the objective function, supply and demand quantities are expressed as intervals. A Taylor series approach is presented for the solution of IQITP by means of the expression of intervals with its left and right limits. Also a numerical example is executed to illustrate the procedure

Keywords

Quadratic Interval Transportation Problem Interval coefficients Taylor Series

References

  • [Arora, S.R. and Khurana, A. A Paradox in an Indefinite Quadratic Transportation Problem with Mixed Constraints, International Journal of Management and Systems, Vol. 18, No. 3, 301-318, 2002.
  • Nicholas I. M. Gould and Philippe L. Toint,A Quadratic Programming Bibliography RAL Numerical Analysis Group Internal Report October 2, 2001
  • Arora, S.R. and Khurana, A. A Paradox in an Indefinite Quadratic Transportation Problem, International Journal of Management Science, Vol. 7, No. 2, 13-30, 2001
  • S.K.das. A.Goswami and S.S.Alam, Multiobjective transportation problem with interval cost, source and destination parameters, EJOR, 117(1999).100-112
  • H.Ishbuchi, H. Tanaka, Multi Objective Programming in optimization of interval objective function, European Journal of Operational Research 48(1990), 219-225.

A Solution Proposal to Indefinite Quadratic Interval Transportation Problem

Year 2013, Volume: 1 Issue: 2, 7 - 12, 01.08.2013

Hasan Dalman Hale Gonce Köçken Mustafa Sivri

Abstract

References

  • [Arora, S.R. and Khurana, A. A Paradox in an Indefinite Quadratic Transportation Problem with Mixed Constraints, International Journal of Management and Systems, Vol. 18, No. 3, 301-318, 2002.
  • Nicholas I. M. Gould and Philippe L. Toint,A Quadratic Programming Bibliography RAL Numerical Analysis Group Internal Report October 2, 2001
  • Arora, S.R. and Khurana, A. A Paradox in an Indefinite Quadratic Transportation Problem, International Journal of Management Science, Vol. 7, No. 2, 13-30, 2001
  • S.K.das. A.Goswami and S.S.Alam, Multiobjective transportation problem with interval cost, source and destination parameters, EJOR, 117(1999).100-112
  • H.Ishbuchi, H. Tanaka, Multi Objective Programming in optimization of interval objective function, European Journal of Operational Research 48(1990), 219-225.
There are 5 citations in total.

Details

Journal Section Articles
Authors

Hasan Dalman This is me

Hale Gonce Köçken This is me

Mustafa Sivri This is me

Publication Date August 1, 2013
Published in Issue Year 2013 Volume: 1 Issue: 2

Cite

APA Dalman, H., Köçken, H. G., & Sivri, M. (2013). A Solution Proposal to Indefinite Quadratic Interval Transportation Problem. New Trends in Mathematical Sciences, 1(2), 7-12.
AMA Dalman H, Köçken HG, Sivri M. A Solution Proposal to Indefinite Quadratic Interval Transportation Problem. New Trends in Mathematical Sciences. August 2013;1(2):7-12.
Chicago Dalman, Hasan, Hale Gonce Köçken, and Mustafa Sivri. “A Solution Proposal to Indefinite Quadratic Interval Transportation Problem”. New Trends in Mathematical Sciences 1, no. 2 (August 2013): 7-12.
EndNote Dalman H, Köçken HG, Sivri M (August 1, 2013) A Solution Proposal to Indefinite Quadratic Interval Transportation Problem. New Trends in Mathematical Sciences 1 2 7–12.
IEEE H. Dalman, H. G. Köçken, and M. Sivri, “A Solution Proposal to Indefinite Quadratic Interval Transportation Problem”, New Trends in Mathematical Sciences, vol. 1, no. 2, pp. 7–12, 2013.
ISNAD Dalman, Hasan et al. “A Solution Proposal to Indefinite Quadratic Interval Transportation Problem”. New Trends in Mathematical Sciences 1/2 (August 2013), 7-12.
JAMA Dalman H, Köçken HG, Sivri M. A Solution Proposal to Indefinite Quadratic Interval Transportation Problem. New Trends in Mathematical Sciences. 2013;1:7–12.
MLA Dalman, Hasan et al. “A Solution Proposal to Indefinite Quadratic Interval Transportation Problem”. New Trends in Mathematical Sciences, vol. 1, no. 2, 2013, pp. 7-12.
Vancouver Dalman H, Köçken HG, Sivri M. A Solution Proposal to Indefinite Quadratic Interval Transportation Problem. New Trends in Mathematical Sciences. 2013;1(2):7-12.