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Regenerator Location Problem and Survivable Extensions: A Hub Covering Location Perspective

Baris Yildiz (baris.yildiz***at***bilkent.edu.tr)
Oya Ekin Karasan (karasan***at***bilkent.edu.tr)

Abstract: In a telecommunications network the reach of an optical signal is the maximum distance it can traverse before its quality degrades. Regenerators are devices to extend the op- tical reach. The regenerator placement problem seeks to place the minimum number of regenerators in an optical network so as to facilitate the communication of a signal between any node pair. In this study, the regenerator location problem is revisited from the hub location perspective directing our focus to applications arising in transportation settings. Two new dimensions involving the challenges of survivability are introduced to the problem. Under partial survivability, our designs hedge against failures in the regen- eration equipment only, whereas under full survivability failures on any of the network nodes are accounted for by the utilization of extra regeneration equipment. All three variations of the problem are studied in a unifying framework involving the introduc- tion of individual ow-based compact formulations as well as cut formulations and the implementation of branch and cut algorithms based on the cut formulations. Extensive computational experiments are conducted in order to evaluate the performance of the proposed solution methodologies and to gain insights from realistic instances.

Keywords: Regenerator location; hub location; survivable network design; branch and cut

Category 1: Applications -- OR and Management Sciences

Category 2: Applications -- OR and Management Sciences (Telecommunications )

Category 3: Applications -- OR and Management Sciences (Transportation )

Citation: Article title: Regenerator Location Problem and Survivable Extensions: A Hub Covering Location Perspective Reference: TRB1301 Journal title: Transportation Research Part B Corresponding author: Dr. Oya E Karasan First author: Dr. Baris Yildiz Final version published online: 12-NOV-2014 Full bibliographic details: Transportation Research Part B (2015), pp. 32-55 DOI information: 10.1016/j.trb.2014.10.004

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Entry Submitted: 10/02/2013
Entry Accepted: 10/02/2013
Entry Last Modified: 11/13/2014

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