Dynamical System based Heuristic: Empirical results for Max Cut
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منابع مشابه
What Works Best When? A Framework for Systematic Heuristic Evaluation
Though empirical testing is broadly used to evaluate heuristics, there are major shortcomings with how it is applied in practice. In a systematic review of Max-Cut and Quadratic Unconstrained Binary Optimization (QUBO) heuristics papers, we found only 4% publish source code, only 10% compare heuristics with identical hardware and termination criteria, and most experiments are performed with an ...
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A heuristic algorithm based on VNS is proposed to solve the Max 3-cut and Max 3-section problems. By establishing a neighborhood structure of the Max 3-cut problem, we propose a local search algorithm and a variable neighborhood global search algorithm with two stochastic search steps to obtain the global solution. We give some numerical results and comparisons with the well-known 0.836-approxi...
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Though empirical testing is broadly used to evaluate heuristics, there are shortcomings with how it is often applied in practice. In a systematic review of Max-Cut and Quadratic Unconstrained Binary Optimization (QUBO) heuristics papers, we found only 4% publish source code, only 14% compare heuristics with identical termination criteria, and most experiments are performed with an artificial, h...
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We consider low-rank semidefinite programming (LRSDP) relaxations of unconstrained {−1, 1} quadratic problems (or, equivalently, of Max-Cut problems) that can be formulated as the nonconvex nonlinear programming problem of minimizing a quadratic function subject to separable quadratic equality constraints. We prove the equivalence of the LRSDP problem with the unconstrained minimization of a ne...
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We consider the problem of bipartitioning a circuit into two balanced components that minimizes the number of crossing nets. Previously, Kernighan and Lin type (K&L) heuristics, simulated annealing approach, and analytical methods were given to solve the problem. However, network flow (maxflow min-cut) techniques were overlooked as viable heuristics to min-cut balanced bipartition due to their ...
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