M/G/ oo with Batch Arrivals
OR 169-87 Revised Version. Original copy, WP1932-87 September 1987, also enclosed was submitted to the University of Rochester.
| Main Authors: | , |
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| Format: | Working Paper |
| Language: | en_US |
| Published: |
Massachusetts Institute of Technology, Operations Research Center
2004
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| Online Access: | http://hdl.handle.net/1721.1/5138 |
| _version_ | 1811080357922996224 |
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| author | Keilson, Julian Seidmann, A. |
| author_facet | Keilson, Julian Seidmann, A. |
| author_sort | Keilson, Julian |
| collection | MIT |
| description | OR 169-87 Revised Version. Original copy, WP1932-87 September 1987, also enclosed was submitted to the University of Rochester. |
| first_indexed | 2024-09-23T11:30:03Z |
| format | Working Paper |
| id | mit-1721.1/5138 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:30:03Z |
| publishDate | 2004 |
| publisher | Massachusetts Institute of Technology, Operations Research Center |
| record_format | dspace |
| spelling | mit-1721.1/51382019-04-12T13:40:34Z M/G/ oo with Batch Arrivals Keilson, Julian Seidmann, A. OR 169-87 Revised Version. Original copy, WP1932-87 September 1987, also enclosed was submitted to the University of Rochester. Let po(n) be the distribution of the number N(oo) in the system at ergodicity for systems with an infinite number of servers, batch arrivals with general batch size distribution and general holding times. This distribution is of impotance to a variety of studies in congestion theory, inventory theory and storage systems. To obtain this distribution, a more general problem is addressed . In this problem, each epoch of a Poisson process gives rise to an independent stochastic function on the lattice of integers, which may be viewed as a stochastic impulse response. A continuum analogue to the lattice process is also provided. 2004-05-28T19:24:52Z 2004-05-28T19:24:52Z 1987-09 Working Paper http://hdl.handle.net/1721.1/5138 en_US Operations Research Center Working Paper;OR 169-87 521374 bytes application/pdf application/pdf Massachusetts Institute of Technology, Operations Research Center |
| spellingShingle | Keilson, Julian Seidmann, A. M/G/ oo with Batch Arrivals |
| title | M/G/ oo with Batch Arrivals |
| title_full | M/G/ oo with Batch Arrivals |
| title_fullStr | M/G/ oo with Batch Arrivals |
| title_full_unstemmed | M/G/ oo with Batch Arrivals |
| title_short | M/G/ oo with Batch Arrivals |
| title_sort | m g oo with batch arrivals |
| url | http://hdl.handle.net/1721.1/5138 |
| work_keys_str_mv | AT keilsonjulian mgoowithbatcharrivals AT seidmanna mgoowithbatcharrivals |