# Questions tagged [meta-heuristics]

For questions related to meta-heuristics (e.g. simulated annealing, tabu search, ant colony optimization algorithms, etc).

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### Does a differential evolution algorithm mutate its population during a generation?

I'm implementing a differential evolution algorithm and when it comes to evolving a population, the page I am referencing is vague on how the new population is generated. https://en.wikipedia.org/wiki/...
39 views

### What are most commons methods to measure improvement rate in a meta-heuristic?

When I run a meta-heuristics, like a Genetic Algorithm or a Simulated Annealing, I want to have a termination criterion that stops the algorithms when there is not any significant fitness improvement. ...
129 views

### Why can't I reproduce the experiments in the original paper that introduced the Firefly Algorithm?

I have been trying to reproduce the experiments done in the original: Firefly Algorithm for multimodal optimization (2010) by Xin-She Yang, but so far unsuccessfully. For the moment being, I'm okay if ...
47 views

### Why does Simulated Annealing not take worse solution if the energy difference becomes higher?

In Simulated Annealing, a worse solution is accepted with this probability: $$p=e^{-\frac{E(y)-E(x)}{kT}}.$$ If that understanding is correct: Why is this probability function used? This means that, ...
8k views

### What is an objective function?

Local search algorithms are useful for solving pure optimization problems, in which the aim is to find the best state according to an objective function. My question is what is the objective function?
20 views

### What to do when Iterated Local Search (ILS) method keeps making the solution worse?

I've been trying to solve an optimization problem with ITERATED LOCAL SEARCH (ILS) method. I've generated the initial solution, then followed the steps of ILS. However, even after running the ...
372 views

### What is the difference between Stochastic Hill Climbing and Simulated Annealing?

I am reading about local search: hill climbing, and its types, and simulated annealing One of the hill climbing versions is "stochastic hill climbing", which has the following definition: ...
46 views

### What is the difference between exploitation and exploration in the context of optimization?

In the paper Moth-flame optimization algorithm: A novel nature-inspired heuristic paradigm (2015, published in Knowledge-Based Systems) The test functions are divided to three groups: unimodal, multi-...
34 views

### How are the lower and upper bound values of the moths determined in the Moth-Flame Optimization algorithm?

I am currently implementing the Moth-Flame Optimization (MFO) Algorithm, based on the paper: Moth-Flame Optimization Algorithm: A Novel Nature-inspired Heuristic Paradigm. To calculate the values of ...
23 views

### Which of these two strategies is the best to select solutions in simulated annealing?

I am using simulated annealing (SA) for an NP-hard combinatorial optimisation problem. 1) I am testing over a range of problem instances in which the objective values can be in the 100's or in the ...