Title
On the cutoff point for pairwise enabling for infinite users in a multiaccess system
Abstract
Consider a multiaccess channel shared by an infinite set of users, each of which, independently, has a message to transmit with probability p. Pairwise enabling is the scheduling algorithm which enables the users to transmit by pairs, and, if a collision occurs, it lets the two users transmit separately in the next two time slots. M.L. Molle (see ibid., vol.36, no.5, p.1127-33, 1990) showed that pairwise enabling is optimal for 0.5&les;p&les;1/√2 and is not optimal for p&les;0.430. Let p0 denote the cutoff point for pairwise enabling, i.e. pairwise enabling is optimal for p 0&les;p&les;1/√2 but not optimal for p&les;p0. In the present work, Molle's results are improved by showing that 0.4300<p0<0.4745. In addition, it is shown that 0.4400<p0 holds when it is assumed that the 1-feedback also reveals the identity of the transmitter
Year
DOI
Venue
1990
10.1109/18.57225
Information Theory, IEEE Transactions  
Keywords
Field
DocType
channel capacity,multi-access systems,probability,protocols,scheduling,telecommunication channels,cutoff point,infinite users,multiaccess channel,pairwise enabling,probability,protocols,scheduling algorithm,telecommunication
Discrete mathematics,Topology,Pairwise comparison,Computer science,Scheduling (computing),Cutoff,Computer network,Communication channel,Collision,Infinite set,Transmission protocol,Channel capacity
Journal
Volume
Issue
ISSN
36
5
0018-9448
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Y. C. Yao1235.36
F. K. Hwang2332100.54