Second order convexity and a modified objective function method in mathematical programming
Tadeusz Antczak (2007)
Control and Cybernetics
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Displaying similar documents to “Reformulations in Mathematical Programming: Definitions and Systematics”
Second order convexity and a modified objective function method in mathematical programming
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S., Paulraj, P., Sumathi (2010)
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Integer Programming Formulation of the Bilevel Knapsack Problem
R. Mansi, S. Hanafi, L. Brotcorne (2010)
Mathematical Modelling of Natural Phenomena
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The Bilevel Knapsack Problem (BKP) is a hierarchical optimization problem in which the feasible set is determined by the set of optimal solutions of parametric Knapsack Problem. In this paper, we propose two stages exact method for solving the BKP. In the first stage, a dynamic programming algorithm is used to compute the set of reactions of the follower. The second stage consists in solving an integer program reformulation of BKP. We show that ...
Reduction of dimensionality in dynamic programming-based solution methods for nonlinear integer programming.
Ram, Balasubramanian, Babu, A.J.G. (1988)
International Journal of Mathematics and Mathematical Sciences
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