The Output of an M / D /1 Queue

Charles D. Pack
Additional contact information
Charles D. Pack: Bell Laboratories, Holmdel, New Jersey

Operations Research, 1975, vol. 23, issue 4, 750-760

Abstract: In this paper we investigate the output process of the M / D /1 queuing system. We derive expressions for the distributions and first two moments, in both steady-state and transient conditions, of the following random variables: (1) the time until the n th departure measured from a departure epoch, T 0 , (2) the time between the n − 1st and n th departures after T 0 , and (3) the number of departures in ( T 0 , T 0 + t ]. Further we study the autocorrelation functions of random variables (1) and (2) in the steady state.

Date: 1975
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://dx.doi.org/10.1287/opre.23.4.750 (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:23:y:1975:i:4:p:750-760

Access Statistics for this article

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