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The queue with impatience: construction of the stationary workload under FIFO
| Content Provider | Scilit |
|---|---|
| Author | Moyal, Pascal |
| Copyright Year | 2010 |
| Description | In this paper we study the stability of queueing systems with impatient customers and a single server operating under a FIFO (first-in-first-out) discipline. We first give a sufficient condition for the existence of a stationary workload in the case of impatience until the beginning of service. We then provide a weaker condition of existence on an enriched probability space using the theory of Anantharam et al. (1997), (1999). The case of impatience until the end of service is also investigated. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F12C5183E5375CBBE3681CCEAEBE70E0/S002190020000677Xa.pdf/div-class-title-the-queue-with-impatience-construction-of-the-stationary-workload-under-fifo-div.pdf |
| Ending Page | 512 |
| Page Count | 15 |
| Starting Page | 498 |
| ISSN | 00219002 |
| e-ISSN | 14756072 |
| DOI | 10.1017/s002190020000677x |
| Journal | Journal of applied probability |
| Issue Number | 02 |
| Volume Number | 47 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2010-06-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of applied probability Applied Mathematics Operations Research and Management Science Stochastic Recursion Stationary Solution Queues with Impatience Renovative Event Enrichment of Probability Space |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |