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Trends in Applied Sciences Research
Year: 2008  |  Volume: 3  |  Issue: 2  |  Page No.: 154 - 164

Interactive Bi-level Multiobjective Stochastic Integer Linear Programming Problem

Mervat M.K. Elshafei and M. Salah EL-Sherbeny    

Abstract: In this study, consider Bi-level multiobjective stochastic integer linear programming (BL-MOILP) problem with chance constraints. Assume that there is randomness in the right-hand sides of the constraints only and that the random variables are normal distributed. An interactive algorithm for solving such problem is presented. By using the chance-constrained programming technique, the problem converted from probalistic into deterministic bi-level multiobjective integer linear programming (DBL-MOILP) problem. This problem can be transform into separate multiobjective decision making problems and solving it by using ε-constraint method. Finally, an illustrative numerical example is given to demonstrate the obtained results.

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