Geometric Distribution in Some Two-Dimensional Queuing Systems

Richard V. Evans
Additional contact information
Richard V. Evans: University of California, Los Angeles, California

Operations Research, 1967, vol. 15, issue 5, 830-846

Abstract: The state of the system is a two dimensional random variable N = ( N 1 , N 2 ) with N 1 ≧ 0, 1 ≦ N 2 ≦ m . Transitions require negative exponential times. The vector P n of probabilities of being in states for which N 1 = n satisfy the general condition λ IP n −1 + BP n + CP n +1 = 0. Two arguments are given showing P n = RP n −1 and an iterative scheme for finding R is constructed.

Date: 1967
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://dx.doi.org/10.1287/opre.15.5.830 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:15:y:1967:i:5:p:830-846

Access Statistics for this article

More articles in Operations Research from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().