2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications 2008
DOI: 10.1109/pimrc.2008.4699897
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On colliding first messages in slotted ALOHA

Abstract: Considering n nodes performing random access using ALOHA with s slots, we study the probability that there occurs a non-coUiding message in the first non-empty slot. If each node transmits with probability P in each slot and the number of slots is sufficiently large, a non-colliding first message occurs with probability

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Cited by 7 publications
(9 citation statements)
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“…Usually, the backoff time is picked according to a uniform distribution which, as per [23] and [24], is not the optimum choice. CSMA/CA and MACA aim at reducing collisions by equally trying to protect all packets.…”
Section: ) Canonical Solutionsmentioning
confidence: 99%
“…Usually, the backoff time is picked according to a uniform distribution which, as per [23] and [24], is not the optimum choice. CSMA/CA and MACA aim at reducing collisions by equally trying to protect all packets.…”
Section: ) Canonical Solutionsmentioning
confidence: 99%
“…Appendix C in Additional file 1 proves that the nodedependent access probabilities are properly bounded, when applying f (·) on the node-independent probabilities for uniform access (8) and slow-start access (10). It also proves the third property, i.e., If a node cannot estimate the metrics of the other nodes, the denominator of (12) is set to…”
Section: Metric-based Selectionmentioning
confidence: 84%
“…Parts of this article, including some equations and results, were previously published in [10] and [11]. Those papers presented some first ideas and results of Section 2.…”
Section: Introductionmentioning
confidence: 99%
“…Thus, if we assume that all nodes behave statistically the same, the probability that within s slots occurs a first message that does not collide is [5] Φ(n, s, p ) =…”
Section: Probability Of a Non-colliding First Messagementioning
confidence: 99%
“…In a previous paper [5], we performed a theoretical analysis on the occurrence of a non-colliding first message. Given a slotted shared medium, each of n nodes may transmit in a slot using ALOHA without carrier sensing.…”
Section: Introductionmentioning
confidence: 99%