Paper:

# The Improvement of Optimality Test over Possible Reaction Set in Bilevel Linear Optimization with Ambiguous Objective Function of the Follower

## Puchit Sariddichainunta and Masahiro Inuiguchi

Graduate School of Engineering Science, Osaka University

1-3 Kanemachiyama, Toyonaka, Osaka 560-8531, Japan

*k*-th best method that sequentially enumerates a solution and examine whether it is the best of all possible reactions. The optimality test process over possible reactions in lower-level problems usually encounters degenerate bases that become obstacles to verifying the optimality of an enumerated solution efficiently. To accelerate optimality verification, we propose search strategies and the evaluation of basic possible reactions adjacent to a degenerate basic solution. We introduce these methods in both local and global optimality testing, confirming the effectiveness of our proposed methods in numerical experiments.

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.19 No.5, pp. 645-654, 2015.

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