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On the Location of a Constrained k-Tree Facility in a Tree Network with Unreliable Edges
Joint Authors
Aboutahoun, Abdallah W.
Fares, Eman
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-08-21
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Given a tree network T with n vertices where each edge has an independent operational probability, we are interested in finding the optimal location of a reliable service provider facility in a shape of subtree with exactly k leaves and with a diameter of at most l which maximizes the expected number of nodes that are reachable from the selected subtree by operational paths.
Demand requests for service originate at perfectly reliable nodes.
So, the major concern of this paper is to find a location of a reliable tree-shaped facility on the network in order to provide a maximum access to network services by ensuring the highest level of network connectivity between the demand nodes and the facility.
An efficient algorithm for finding a reliable (k,l) – tree core of T is developed.
The time complexity of the proposed algorithm is Olkn.
Examples are provided to illustrate the performance of the proposed algorithm.
American Psychological Association (APA)
Aboutahoun, Abdallah W.& Fares, Eman. 2019. On the Location of a Constrained k-Tree Facility in a Tree Network with Unreliable Edges. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1168950
Modern Language Association (MLA)
Aboutahoun, Abdallah W.& Fares, Eman. On the Location of a Constrained k-Tree Facility in a Tree Network with Unreliable Edges. Journal of Applied Mathematics No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1168950
American Medical Association (AMA)
Aboutahoun, Abdallah W.& Fares, Eman. On the Location of a Constrained k-Tree Facility in a Tree Network with Unreliable Edges. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1168950
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168950