An Efficient Hybrid CS and K-Means Algorithm for the Capacitated PMedian Problem

The capacitated P-median problem (CPMP) is an NPcomplete problem which investigates the problem of partitioning a set of N nodes into M different disjoint clusters, each represented by a certain node that is designed as concentrator. The NM nodes that are not chosen as concentrators are referred as terminals. The partitioning of the initial N nodes must be performed in such a way that a measure of total distance between the terminals and their corresponding concentrators is minimized. In addition, a capacity constraint imposed on the concentrators must be met, in order to obtain feasible solutions to the problem [1-4]. A direct application of the CPMP is in the context of communication networks deployment, where a set of terminals in the network must be assigned to the corresponding concentrator in order to compose access networks that satisfy the rate requirements of such terminals [5]. In this context, most of the efforts so far has focused on the topological design of communication networks (e.g. Wireless Sensor Networks (WSN), backbone networks or mobile networks [6-8]) since many of the processes involved in such networks can be approached as a CPMP problem, e.g.