# Solving maximal covering location problem using genetic algorithm with local refinement

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## Abstract

The maximal covering location problem (MCLP) deals with the problem of finding an optimal placement of a given number of facilities within a set of customers. Each customer has a specific demand and the facilities are to be placed in such a way that the total demand of the customers served by the facilities is maximized. In this article an improved genetic algorithm (GA)-based approach, which utilizes a local refinement strategy for faster convergence, is proposed to solve MCLP. The proposed algorithm is applied on several MCLP instances from literature and it is demonstrated that the proposed GA with local refinement gives better results in terms of percentage of coverage and computation time to find the solutions in almost all the cases. The proposed GA-based approach with local refinement is also found to outperform the other existing methods for most of the small as well as large instances of MCLP.

## Keywords

Facility location problem Covering location problem Maximal covering location problem (MCLP) Genetic algorithm (GA) Local refinement## Notes

### Acknowledgements

This work has been partially supported by DST-PURSE scheme, Government of India at University of Kalyani.

### Compliance with ethical standards

### Conflict of interest

This section is to certify that we have no potential conflict of interest.

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