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- Title
BLOCKING AND DELAYS IN M.../M/C BULK QUEUING SYSTEMS.
- Authors
Kabak, Irwin W.
- 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.
- Subjects
POISSON processes; QUEUING theory; PROBABILITY theory; SYSTEM analysis; BULK queues; LOSS control; CALCULUS; SUPERVISED study; POINT processes
- Publication
Operations Research, 1968, Vol 16, Issue 4, p830
- ISSN
0030-364X
- Publication type
Article
- DOI
10.1287/opre.16.4.830