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Several applications in CS can be formulated as an optimization problem with (mixed) integer variables.
Much research has been conducted for continuous MOO problems, but MOO problems with discrete or mixed integer variables and black-box objective functions arise frequently in practice.
We develop the sufficient global optimality conditions for nonlinear programming problem (SDP f ) with LMI and bounded constraints of mixed integer variables by using the Lagrangian function.
To realize this, we propose an integrated architecture and formulate a multiobjective optimization problem with mixed integer variables for the joint power control, base station assignment, and channel assignment scheme.
In order to address this complex problem, they define a multiobjective optimization framework with mixed integer variables; a pareto optimal solution is found through weighted sum approach, and the framework is shown to be both stable and converging.
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ACOmi (Ant Colony Optization for mixed integer problems) is an extension of the ant colony optimization metaheuristic that enables to handle mixed integer variable search domains.
However, there is still a noticeable lack of studies on DE's performance on engineering problems, which combine large-size instances, constraint-handling and mixed-integer variables issues.
In this paper, we propose an improved L-shaped method to solve large-scale two-stage convex 0 1 mixed-integer nonlinear stochastic programs with mixed-integer variables in both first and second stage decisions and with relatively complete recourse.
These problems are often mixed-integer, variable-dimensional and multi-criteria optimization problems.
ACOmi (Ant Colony Optization for mixed-integer problems) [ 30] and fSSm [ 31] are robust extensions of metaheuristics (Ant Colony optimization and Scatter Search, respectively) that enable the handling of mixed-integer variable search domains; therefore, they are ideal for solving the MINLP problem introduced in this work.
The problem is formulated as a mixed integer-discrete variable optimization problem with three design variables: thickness of slab, steel bar diameter, and bar spacing.
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