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

https://izlik.org/JA92WR65ZC

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

A Solution Proposal to Indefinite Quadratic Interval Transportation Problem

https://izlik.org/JA92WR65ZC

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.