A NEW APPROACH FOR APPROXIMATING SOLUTION OF CONTINUOUS SEMI-INFINITE LINEAR PROGRAMMING

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FAKHARZADEH JAHROMI A.; ALAMDAR GHAHFAROKHI Z.

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Journal: CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS Year:2017 | Volume:2 | Issue:1 Page(s): 65-76

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Title

A NEW APPROACH FOR APPROXIMATING SOLUTION OF CONTINUOUS SEMI-INFINITE LINEAR PROGRAMMING

Author(s)

FAKHARZADEH JAHROMI A. | ALAMDAR GHAHFAROKHI Z. | Issue Writer Certificate

Keywords

ATOMIC MEASURE

LINEAR PROGRAMMING

RADON MEASURE

SEMIINFINITE LINEAR PROGRAMMING

WEAK* TOPOLOGY

Abstract

This paper describes a new optimization method for solving continuous semi-infinite linear problems. With regard to the dual properties, the problem is presented as a measure theoretical optimization problem, in which the existence of the solution is guaranteed. Then, on the basis of the ATOMIC MEASURE properties, a computation method was presented for obtaining the near optimal solution by means of famous and simple simplex method.Some numerical results are reported to indicate the efficiency of the new method.

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APA: Copy

FAKHARZADEH JAHROMI, A., & ALAMDAR GHAHFAROKHI, Z.. (2017). A NEW APPROACH FOR APPROXIMATING SOLUTION OF CONTINUOUS SEMI-INFINITE LINEAR PROGRAMMING. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, 2(1 ), 65-76. SID. https://sid.ir/paper/267461/en

Vancouver: Copy

FAKHARZADEH JAHROMI A., ALAMDAR GHAHFAROKHI Z.. A NEW APPROACH FOR APPROXIMATING SOLUTION OF CONTINUOUS SEMI-INFINITE LINEAR PROGRAMMING. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS[Internet]. 2017;2(1 ):65-76. Available from: https://sid.ir/paper/267461/en

IEEE: Copy

A. FAKHARZADEH JAHROMI, and Z. ALAMDAR GHAHFAROKHI, “A NEW APPROACH FOR APPROXIMATING SOLUTION OF CONTINUOUS SEMI-INFINITE LINEAR PROGRAMMING,” CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, vol. 2, no. 1 , pp. 65–76, 2017, [Online]. Available: https://sid.ir/paper/267461/en

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