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Information Journal Paper

Title

ENHANCING THE SOLUTION METHOD OF LINEAR BI– LEVEL PROGRAMMING PROBLEM BASED ON ENUMERATION METHOD AND DUAL METHOD

Pages

  27-53

Abstract

 The BI-LEVEL PROGRAMMING PROBLEM (BLPP), have received much interest from researchers because of their application in several areas such as economic, traffic, transportation and so on. There are several known algorithms to solve BLPP as an NP-hard problem. Almost all proposed algorithms in references have been used the Karush-Kuhn–Tucker to convert the BLPP into the single level problem which the obtained problem is complicated. In this paper, we attempt to develop two effective approaches, one based on ENUMERATION METHOD and the other based on duality characteristic for solving the linear BLPP. In these approaches, the BLPP is solved without using the Karush-Kuhn–Tucker conditions. The presented approaches achieve an efficient and feasible solution in an appropriate time, which has been evaluated by comparing to references and test problems.

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    APA: Copy

    HOSSEINI, EGHBAL, NAKHAI KAMALABADI, ISA, & FATHI, MOHAMMAD. (2014). ENHANCING THE SOLUTION METHOD OF LINEAR BI– LEVEL PROGRAMMING PROBLEM BASED ON ENUMERATION METHOD AND DUAL METHOD. ADVANCES IN MATHEMATICAL MODELING, 4(1), 27-53. SID. https://sid.ir/paper/243871/en

    Vancouver: Copy

    HOSSEINI EGHBAL, NAKHAI KAMALABADI ISA, FATHI MOHAMMAD. ENHANCING THE SOLUTION METHOD OF LINEAR BI– LEVEL PROGRAMMING PROBLEM BASED ON ENUMERATION METHOD AND DUAL METHOD. ADVANCES IN MATHEMATICAL MODELING[Internet]. 2014;4(1):27-53. Available from: https://sid.ir/paper/243871/en

    IEEE: Copy

    EGHBAL HOSSEINI, ISA NAKHAI KAMALABADI, and MOHAMMAD FATHI, “ENHANCING THE SOLUTION METHOD OF LINEAR BI– LEVEL PROGRAMMING PROBLEM BASED ON ENUMERATION METHOD AND DUAL METHOD,” ADVANCES IN MATHEMATICAL MODELING, vol. 4, no. 1, pp. 27–53, 2014, [Online]. Available: https://sid.ir/paper/243871/en

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