A QUEUE SUBJECT TO EXTRANEOUS PHASE CHANGES.
Abstract
The queueing model discussed here is a generalization of a model of an M/M/1 queue, modified as follows. The queue alternates between two phases I and II. In phase I, the arrival and service rates are lambda 1 and mu 1, whereas in phase II they are lambda 2 and mu 2. The successive lengths of time during which the queue is in phases I and II are independent, negative-exponential random variables with parameters s1 and s2 respectively. The paper discusses the following partial generalization of this model. Consider a single server queue, governed by an extraneous phase process. This phase process is assumed to be an irreducible, m-state Markov chain in continuous time, with only stable states.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1969
- Accession Number
- AD0696073
Entities
People
- Marcel F. Neuts
Organizations
- Purdue University