Referring to methods that produce good "approximate" solutions, particularly for np-hard, np-complete, or combinatorial optimization problems.

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What strategies one can use to keep maximum number of non attacking pieces on an $n \times n$ chess board?

What are the strategies one can use to keep maximum number of non attacking pieces (all pieces other than pawn) on an $n\times n$ board? It is like an $n$-queen problem but here instead of only queen ...
3
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1answer
63 views

Expectation-Maximization and local maxima

The E-M algorithm does not guarantee convergence to global maxima. Following Applet shows this nicely: http://www.cs.cmu.edu/~alad/em/ Is it possible to generate data set, that guarantees reaching ...
3
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2answers
120 views

How to prove that my problem is np-hard

For an assignment i need to program an application to schedule conversations. Something similar to speeddating or Pta meeting. The problem is that i know that this is hard to solve, but i dont know if ...
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47 views

Generate Candidate solution/ generate neighbouring solution

I am a beginner with meta-heuristic algorithms. A problem I have encountered while programming is the step: Generate a candidate solution. I have studied many papers, but none of them give me a hint ...
8
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335 views

Meaning of (meta)heuristic methods

For optimization, from Wikipedia: In computer science, metaheuristic designates a computational method that optimizes a problem by iteratively trying to improve a candidate solution with ...
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What heuristics can be used to minimize the asymptotic matrix bandwidth of a 5-point Laplacian discretization?

I can see that there are multiple heuristics to acheive a matrix with minimum bandwidth. As heuristics, they can't guarantee an optimal solution in polynomial time (after all, the problem is NP ...