Minimum-length scheduling with rate control in wireless networks: a shortest path approach

<p>Abstract</p> <p>In this paper, the minimum-length scheduling problem in wireless networks is studied, where each source of traffic has a finite amount of data to deliver to its corresponding destination. Our objective is to obtain a joint scheduling and rate control policy to mi...

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Main Authors: Ephremides Anthony, Pantelidou Anna
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:EURASIP Journal on Wireless Communications and Networking
Subjects:
Online Access:http://jwcn.eurasipjournals.com/content/2011/1/115
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author Ephremides Anthony
Pantelidou Anna
author_facet Ephremides Anthony
Pantelidou Anna
author_sort Ephremides Anthony
collection DOAJ
description <p>Abstract</p> <p>In this paper, the minimum-length scheduling problem in wireless networks is studied, where each source of traffic has a finite amount of data to deliver to its corresponding destination. Our objective is to obtain a joint scheduling and rate control policy to minimize the total time required to deliver this finite amount of data from all sources. First, networks with time-invariant channels are considered. An optimal solution is provided by formulating the minimum-length scheduling problem as finding a shortest path on a single-source directed acyclic graph. However, finding the shortest paths is computationally hard since the number of vertices and edges of the graph increases exponentially in the number of network nodes, as well as in the initial traffic demand values. Toward this end, a simplified version of the problem is considered for which we explicitly characterize the optimal solution. Next, our results are generalized to time-varying channels. First, it is shown that in case of time-varying channels, the minimum-length scheduling problem can be formulated as a stochastic shortest path problem and then an optimal policy is provided that is based on stochastic control. Finally, our analytical results are illustrated with a set of numerical examples.</p>
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spelling doaj.art-bed512dd3ed645d48bf94678f0a065d82022-12-21T21:18:35ZengSpringerOpenEURASIP Journal on Wireless Communications and Networking1687-14721687-14992011-01-0120111115Minimum-length scheduling with rate control in wireless networks: a shortest path approachEphremides AnthonyPantelidou Anna<p>Abstract</p> <p>In this paper, the minimum-length scheduling problem in wireless networks is studied, where each source of traffic has a finite amount of data to deliver to its corresponding destination. Our objective is to obtain a joint scheduling and rate control policy to minimize the total time required to deliver this finite amount of data from all sources. First, networks with time-invariant channels are considered. An optimal solution is provided by formulating the minimum-length scheduling problem as finding a shortest path on a single-source directed acyclic graph. However, finding the shortest paths is computationally hard since the number of vertices and edges of the graph increases exponentially in the number of network nodes, as well as in the initial traffic demand values. Toward this end, a simplified version of the problem is considered for which we explicitly characterize the optimal solution. Next, our results are generalized to time-varying channels. First, it is shown that in case of time-varying channels, the minimum-length scheduling problem can be formulated as a stochastic shortest path problem and then an optimal policy is provided that is based on stochastic control. Finally, our analytical results are illustrated with a set of numerical examples.</p>http://jwcn.eurasipjournals.com/content/2011/1/115Cross-layer designMinimum-length schedulingRate controlStochastic shortest paths
spellingShingle Ephremides Anthony
Pantelidou Anna
Minimum-length scheduling with rate control in wireless networks: a shortest path approach
EURASIP Journal on Wireless Communications and Networking
Cross-layer design
Minimum-length scheduling
Rate control
Stochastic shortest paths
title Minimum-length scheduling with rate control in wireless networks: a shortest path approach
title_full Minimum-length scheduling with rate control in wireless networks: a shortest path approach
title_fullStr Minimum-length scheduling with rate control in wireless networks: a shortest path approach
title_full_unstemmed Minimum-length scheduling with rate control in wireless networks: a shortest path approach
title_short Minimum-length scheduling with rate control in wireless networks: a shortest path approach
title_sort minimum length scheduling with rate control in wireless networks a shortest path approach
topic Cross-layer design
Minimum-length scheduling
Rate control
Stochastic shortest paths
url http://jwcn.eurasipjournals.com/content/2011/1/115
work_keys_str_mv AT ephremidesanthony minimumlengthschedulingwithratecontrolinwirelessnetworksashortestpathapproach
AT pantelidouanna minimumlengthschedulingwithratecontrolinwirelessnetworksashortestpathapproach