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This work presents a new parallel procedure designed to process combinatorial B&B algorithms using GPGPU. In our schema we dispatch a number of threads that treats intelligently the massively parallel processors of NVIDIA GeForce graphical units. The strategy is to build sequentially a series of initial searches that can map a subspace of the B&B tree by starting a number of limited threads...
We study the equality generalized traveling salesman problem (E‐GTSP), which is a variant of the well‐known traveling salesman problem. We are given an undirected graph G = (V,E), with set of vertices V and set of edges E, each with an associated cost. The set of vertices is partitioned into clusters. E‐GTSP is to find an elementary cycle visiting exactly one vertex for each cluster and minimizing...
The capacitated centred clustering problem (CCCP) consists of defining a set of clusters with limited capacity and maximum proper similarity per cluster. Each cluster is composed of individuals from whom we can compute a centre value and hence, determine a similarity measure. The clusters must cover the demands of their individuals. This problem can be applied to the design of garbage collection zones,...
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