A Solution Proposal To Indefinite Quadratic Interval Transportation Problem

Volume: 1 Number: 2 August 1, 2013
  • Hasan Dalman
  • Hale Gonce Köçken
  • Mustafa Sivri
EN TR

A Solution Proposal To Indefinite Quadratic Interval Transportation Problem

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

References

  1. [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.
  2. Nicholas I. M. Gould and Philippe L. Toint,A Quadratic Programming Bibliography RAL Numerical Analysis Group Internal Report October 2, 2001
  3. 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
  4. S.K.das. A.Goswami and S.S.Alam, Multiobjective transportation problem with interval cost, source and destination parameters, EJOR, 117(1999).100-112
  5. H.Ishbuchi, H. Tanaka, Multi Objective Programming in optimization of interval objective function, European Journal of Operational Research 48(1990), 219-225.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Hasan Dalman This is me

Hale Gonce Köçken This is me

Mustafa Sivri This is me

Publication Date

August 1, 2013

Submission Date

March 13, 2015

Acceptance Date

-

Published in Issue

Year 2013 Volume: 1 Number: 2

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. https://izlik.org/JA92WR65ZC
AMA
1.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. https://izlik.org/JA92WR65ZC
Chicago
Dalman, Hasan, Hale Gonce Köçken, and Mustafa Sivri. 2013. “A Solution Proposal to Indefinite Quadratic Interval Transportation Problem”. New Trends in Mathematical Sciences 1 (2): 7-12. https://izlik.org/JA92WR65ZC.
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
[1]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, Aug. 2013, [Online]. Available: https://izlik.org/JA92WR65ZC
ISNAD
Dalman, Hasan - Köçken, Hale Gonce - Sivri, Mustafa. “A Solution Proposal to Indefinite Quadratic Interval Transportation Problem”. New Trends in Mathematical Sciences 1/2 (August 1, 2013): 7-12. https://izlik.org/JA92WR65ZC.
JAMA
1.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, Aug. 2013, pp. 7-12, https://izlik.org/JA92WR65ZC.
Vancouver
1.Hasan Dalman, Hale Gonce Köçken, Mustafa Sivri. A Solution Proposal to Indefinite Quadratic Interval Transportation Problem. New Trends in Mathematical Sciences [Internet]. 2013 Aug. 1;1(2):7-12. Available from: https://izlik.org/JA92WR65ZC