Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-10T15:58:20.487Z Has data issue: false hasContentIssue false
  • English
  • Français

SHIFT-GENERATED RANDOM PERMUTATIONS AND THE M/D/1 QUEUE

Published online by Cambridge University Press:  01 May 1998

WOLFGANG STADJE
WOLFGANG STADJE
Affiliation:
Fachbereich Mathematik/Informatik, Universität Osnabrück, D-49069 Osnabrück, Germany
Get access

Abstract

We consider a simple shift procedure which transforms any mapping f[ratio ]{0, …, n}→{0, …, n} into a permutation of 0, …, n. We study this shift under the assumption that the values f(0), …, f(n) are uniformly and independently chosen random numbers in {0, …, n}. The exact and asymptotic distributions of the required shift sizes are derived, and a connection to queueing theory is exhibited.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 3 , May 1998 , pp. 297 - 304
Copyright
© The London Mathematical Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)