Abstract

AbstractOver the years, there has been an evolution in the manner in which we perform traditional tasks. Nowadays, almost every simple action that we can think about involves the connection among two or more devices. It is desirable to have a high quality connection among devices, by using electronic or optical signals. Therefore, it is really important to have a reliable connection among terminals in the network. However, the transmission of the signal deteriorates when increasing the distance among devices. There exists a special piece of equipment that we can deploy in a network, called regenerator, which is able to restore the signal transmitted through it, in order to maintain its quality. Deploying a regenerator in a network is generally expensive, so it is important to minimize the number of regenerators used. In this paper we focus on the Generalized Regenerator Location Problem (GRLP), which tries to find the minimum number of regenerators that must be deployed in a network in order to have a reli...

Highlights

  • Last years society has become more and more connection dependent, in such a way that nowadays it is hard to think in accomplishing a common task without using some kind of connection among two or more devices

  • In this paper we propose an algorithm based on the Greedy Randomized Adaptive Search Procedure (GRASP) metaheuristic 11

  • The last row shows the average results over the whole set of 60 instances. As it can be observed in this table, the proposed GRASP method clearly outperforms previous methods in the state of the art

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Summary

Introduction

Last years society has become more and more connection dependent, in such a way that nowadays it is hard to think in accomplishing a common task without using some kind of connection among two or more devices. In order to assure a proper communication among terminal nodes, regenerators must be deployed in one or more nodes in the paths where d(Pto,td ) > dmax. These regenerators are able to restore the signal in the node where they are installed, in such a way that the distance traveled by the signal starts again from zero after reaching a regenerator in the path. Considering a maximum distance dmax = 150, it would be necessary to add the regenerator in C in order to send a signal from terminal A to terminal E This optimization problem has been identified in the related literature as the Generalized Regenerator Location Problem (GRLP).

Communication graph
Greedy randomized adaptive search procedure
Constructive procedures
Improvement method
Computational experiments
Preliminary experimentation
Final experimentation
Findings
Conclusions

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