Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

Input process

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_462

The stochastic point process representing some aspect of customers actually entering a queueing system (or nodal part of one) or some aspect of the state of the node at the instant of input, with points representing the instants of entrance. For example, in finite capacity queues, and (Xva, Tva) process has the Xva process as a sequence of 1s and 0s representing whether the queue is full or not at an arrival and the Tva process represents the times of arrivals. The subset of the Tva process for which Xva = 0 represents the set of arrival epochs at which a customer actually enters the node, while the Tva for which Xva = 1 represents the set of arrival times at which customers do not gain access to the node but overflow.  Arrival process;  Networks of queues;  Queueing theory.

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Saul I. Gass
    • 1
  • Carl M. Harris
    • 2
  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA