On the Timing of the Peak Mean and Variance for the Number of Customers in an M(t)/M(t)/1 Queueing System
Revised October 1994
| Main Authors: | , |
|---|---|
| Format: | Working Paper |
| Language: | en_US |
| Published: |
Massachusetts Institute of Technology, Operations Research Center
2004
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/5285 |
| _version_ | 1826212443252064256 |
|---|---|
| author | Malone, Kerry M. Ingolfsson, Armann |
| author_facet | Malone, Kerry M. Ingolfsson, Armann |
| author_sort | Malone, Kerry M. |
| collection | MIT |
| description | Revised October 1994 |
| first_indexed | 2024-09-23T15:21:25Z |
| format | Working Paper |
| id | mit-1721.1/5285 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:21:25Z |
| publishDate | 2004 |
| publisher | Massachusetts Institute of Technology, Operations Research Center |
| record_format | dspace |
| spelling | mit-1721.1/52852019-04-12T07:19:40Z On the Timing of the Peak Mean and Variance for the Number of Customers in an M(t)/M(t)/1 Queueing System Malone, Kerry M. Ingolfsson, Armann Queues, Nonstationary: Timing of the Peak Mean and Variance; Revised October 1994 This paper examines the time lag between the peak in the arrival rate and the peaks in the mean and variance for the number of customers in an M(t)/M(t)/1l system. We establish a necessary condition for the time at which the peak in the mean is achieved. In cases in which system utilization exceeds one during some period, we show that the peak in the mean occurs after the end of this period. 2004-05-28T19:31:42Z 2004-05-28T19:31:42Z 1994-07 Working Paper http://hdl.handle.net/1721.1/5285 en_US Operations Research Center Working Paper;OR 301-94 846185 bytes application/pdf application/pdf Massachusetts Institute of Technology, Operations Research Center |
| spellingShingle | Queues, Nonstationary: Timing of the Peak Mean and Variance; Malone, Kerry M. Ingolfsson, Armann On the Timing of the Peak Mean and Variance for the Number of Customers in an M(t)/M(t)/1 Queueing System |
| title | On the Timing of the Peak Mean and Variance for the Number of Customers in an M(t)/M(t)/1 Queueing System |
| title_full | On the Timing of the Peak Mean and Variance for the Number of Customers in an M(t)/M(t)/1 Queueing System |
| title_fullStr | On the Timing of the Peak Mean and Variance for the Number of Customers in an M(t)/M(t)/1 Queueing System |
| title_full_unstemmed | On the Timing of the Peak Mean and Variance for the Number of Customers in an M(t)/M(t)/1 Queueing System |
| title_short | On the Timing of the Peak Mean and Variance for the Number of Customers in an M(t)/M(t)/1 Queueing System |
| title_sort | on the timing of the peak mean and variance for the number of customers in an m t m t 1 queueing system |
| topic | Queues, Nonstationary: Timing of the Peak Mean and Variance; |
| url | http://hdl.handle.net/1721.1/5285 |
| work_keys_str_mv | AT malonekerrym onthetimingofthepeakmeanandvarianceforthenumberofcustomersinanmtmt1queueingsystem AT ingolfssonarmann onthetimingofthepeakmeanandvarianceforthenumberofcustomersinanmtmt1queueingsystem |