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Some Complexity Results About Packet Radio Networks

Erdal Arikan
- 01 Mar 1983 - 
- Vol. 30, Iss: 4, pp 681-685
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TLDR
In this paper, it is shown that the decision problem regarding the membership of a given point in the capacity region of a packet radio network (PRN) is NP-complete.
Abstract
: It is shown that the decision problem regarding the membership of a given point in the capacity region of a packet radio network (PRN) is NP- complete. The capacity region is the set of all feasible sets of average origin- to-destination traffic rates, where the feasibility is defined as the existence of any set of rules (deterministic or non-deterministic) for moving the data through the network so that the desired rates are satisfied. The analysis includes a linear programming formulation of TDMA (time-division-multi-access) schemes for PRNs and NP-completeness results for some other related problems. Implicit in the analysis is the optimality of TDMA schemes in terms of achieving a given set of link traffic rates.

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Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks

TL;DR: The stability of a queueing network with interdependent servers is considered and a policy is obtained which is optimal in the sense that its Stability Region is a superset of the stability region of every other scheduling policy, and this stability region is characterized.
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Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks

TL;DR: The stability of a queuing network with interdependent servers is considered, and the problem of scheduling server activation under the constraints imposed by the dependency among them is studied.
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Link scheduling in polynomial time

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Scheduling algorithms for multihop radio networks

TL;DR: Results show that the new algorithms for transmission scheduling in multihop broadcast radio networks perform consistently better than earlier methods, both theoretically and experimentally.
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Scheduling broadcasts in multihop radio networks

TL;DR: In this article, a comprehensive study of the problem of scheduling broadcast transmissions in a multihop, mobile packet radio network is provided that is based on throughput optimization subject to freedom from interference.
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