Lýdia Gábrišová


Let us assume that a certain organization financially supports service centers of public interest, sports, cultural, educational, or other. These centers provide the requirements of customers, who are residents. The organization wants to use its funds efficiently so that the public service system achieves maximum usefulness and fairness to the population. With various possible criteria, we will consider the availability of the inhabitant to the service center and the distance of each inhabitant to the service center to be the main ones.

If the management of the organization had an audit carried out after a few years of operation, it would show that some centers are not sufficiently used, and others not used in terms of capacity. The population of the nearest center is low, and the center is a little used. There would be a possibility to cancel or relocate the service center. On the other hand, some centers do not have sufficient capacity because their services are used by many inhabitants at an acceptable distance. There would be a solution to increase the number of service centers. It is still about using funds efficiently. To resource the unused centers or not to provide services to residents because of the insufficient capacity?

This work deals with the optimization of system by the redistribution of the originally located service centers. I assumed that each center has one or more stations that provide service with a given capacity. Then the service system design task can be modeled as a capacity-limited location task. The XPRESS-IVE optimization setting can be used for its implementation. Numerical experiments were performed by using the real data of the Slovak emergency service.


public service system; requirements of customers; using funds efficiently; capacity-limited location problem

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