Asymptotic Normality of the Collision Resolution Interval for a Multiple Access Protocol

Phillip M. Feldman
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Phillip M. Feldman: Illgen Simulation Technologies, Inc.

A chapter in Approximation, Probability, and Related Fields, 1994, pp 187-200 from Springer

Abstract: Abstract The CTM protocol permits an unlimited number of users to share a single slotted communications channel. A collision occurs when two or more users transmit messages in the same slot. Users who collide re-transmit their messages by randomly splitting into subgroups until each subgroup contains at most one message. L(n), the number of slots required to resolve a collision among n users, is a random variable whose asymptotic properties are of considerable interest. Under fairly general conditions, the asymptotic distribution of L(n) is normal. We briefly review the early research on this problem, and then present some newer results.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-2494-6_14

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DOI: 10.1007/978-1-4615-2494-6_14

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