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Cites:

1

Information Journal Paper

Title

AN L1-NORM METHOD FOR GENERATING ALL OF EFFICIENT SOLUTIONS OF MULTI-OBJECTIVE INTEGER LINEAR PROGRAMMING PROBLEM

Pages

  1-8

Abstract

 This paper extends the proposed method by Jahanshahloo et al. (2004) (a method for generating all the EFFICIENT SOLUTIONs of a 0–1 multi-objective linear programming problem, Asia-Pacific Journal of Operational Research). This paper considers the RECESSION DIRECTION for a MULTI-OBJECTIVE INTEGER LINEAR PROGRAMMING (MOILP) problem and presents necessary and sufficient conditions to have unbounded feasible region and infinite optimal values for objective functions of MOILP problems. If the number of EFFICIENT SOLUTION is finite, the proposed method finds all of them without generating all feasible solutions of MOILP or concluding that there is no EFFICIENT SOLUTION. In any iteration of the proposed algorithm, a SINGLE OBJECTIVE INTEGER LINEAR PROGRAMMING problem, constrained problem, is solved. We will show that the optimal solutions of these SINGLE OBJECTIVE INTEGER LINEAR PROGRAMMING problems are EFFICIENT SOLUTIONs of an MOILP problem. The algorithm can also give subsets of EFFICIENT SOLUTIONs that can be useful for designing interactive procedures for large, real-life problems. The applicability of the proposed method is illustrated by using some numerical examples.

Cites

References

Cite

APA: Copy

TOHIDI, GHASEM, & RAZAVYAN, SHABNAM. (2012). AN L1-NORM METHOD FOR GENERATING ALL OF EFFICIENT SOLUTIONS OF MULTI-OBJECTIVE INTEGER LINEAR PROGRAMMING PROBLEM. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, 8(8), 1-8. SID. https://sid.ir/paper/309927/en

Vancouver: Copy

TOHIDI GHASEM, RAZAVYAN SHABNAM. AN L1-NORM METHOD FOR GENERATING ALL OF EFFICIENT SOLUTIONS OF MULTI-OBJECTIVE INTEGER LINEAR PROGRAMMING PROBLEM. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL[Internet]. 2012;8(8):1-8. Available from: https://sid.ir/paper/309927/en

IEEE: Copy

GHASEM TOHIDI, and SHABNAM RAZAVYAN, “AN L1-NORM METHOD FOR GENERATING ALL OF EFFICIENT SOLUTIONS OF MULTI-OBJECTIVE INTEGER LINEAR PROGRAMMING PROBLEM,” JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, vol. 8, no. 8, pp. 1–8, 2012, [Online]. Available: https://sid.ir/paper/309927/en

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