Blocking and Delays in M ( n ) / M / c Bulk Queuing Systems

Irwin W. Kabak
Additional contact information
Irwin W. Kabak: New York University, New York, New York

Operations Research, 1968, vol. 16, issue 4, 830-840

Abstract: The current literature on the subject of queuing systems has included the analytical study of systems with bulk arrivals. Heretofore, all analyses have been concerned with single server systems only. This paper presents results for queuing systems with bulk arrivals; the particular systems are characterized by Poisson arrival epochs with n arrivals at each epoch, exponential service times and c servers. The probability of blocking for both loss and delay systems are investigated. In addition, the average delay, the variance of the delay, and the delay distribution for first-come-first-served delay systems are presented. Special cases are indicated and numerical aspects of the computation are discussed.

Date: 1968
References: Add references at CitEc
Citations:

Downloads: (external link)
http://dx.doi.org/10.1287/opre.16.4.830 (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:16:y:1968:i:4:p:830-840

Access Statistics for this article

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