A note on the stability of the many queue head of the line processor sharing system with permanent customers:
Abstract: "We consider a single server system consisting of n queues with different types of customers and k permanent customers. The permanent customers and those at the head of the queues are served in processor-sharing by the service facility (head-of-the-line processor- sharing). By means o...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1996
|
| Schriftenreihe: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1996,55 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "We consider a single server system consisting of n queues with different types of customers and k permanent customers. The permanent customers and those at the head of the queues are served in processor-sharing by the service facility (head-of-the-line processor- sharing). By means of Loynes' monotonicity method a stationary work load process is constructed and using sample path analysis general stability conditions are derived. They allow to decide which queues are stable and moreover to compute the fraction of processor capacity devoted to the permanent customers. In case of a stable system the constructed stationary state process is the only one and for any initial state the system converges pathwise to the steady state." |
| Beschreibung: | 17 S. |
Internformat
MARC
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| 003 | DE-604 | ||
| 005 | 20031007 | ||
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| 008 | 030603s1996 |||| 00||| eng d | ||
| 035 | |a (OCoLC)37759363 | ||
| 035 | |a (DE-599)BVBBV017188132 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 | ||
| 084 | |a SS 4777 |0 (DE-625)143522: |2 rvk | ||
| 100 | 1 | |a Brandt, Andreas |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A note on the stability of the many queue head of the line processor sharing system with permanent customers |c Andreas Brandt ; Manfred Brandt |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1996 | |
| 300 | |a 17 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1996,55 | |
| 520 | 3 | |a Abstract: "We consider a single server system consisting of n queues with different types of customers and k permanent customers. The permanent customers and those at the head of the queues are served in processor-sharing by the service facility (head-of-the-line processor- sharing). By means of Loynes' monotonicity method a stationary work load process is constructed and using sample path analysis general stability conditions are derived. They allow to decide which queues are stable and moreover to compute the fraction of processor capacity devoted to the permanent customers. In case of a stable system the constructed stationary state process is the only one and for any initial state the system converges pathwise to the steady state." | |
| 650 | 4 | |a Point processes | |
| 650 | 4 | |a Queuing theory | |
| 700 | 1 | |a Brandt, Manfred |e Verfasser |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1996,55 |w (DE-604)BV004801715 |9 1996,55 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010359178 | ||
Datensatz im Suchindex
| _version_ | 1804130044039135232 |
|---|---|
| any_adam_object | |
| author | Brandt, Andreas Brandt, Manfred |
| author_facet | Brandt, Andreas Brandt, Manfred |
| author_role | aut aut |
| author_sort | Brandt, Andreas |
| author_variant | a b ab m b mb |
| building | Verbundindex |
| bvnumber | BV017188132 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)37759363 (DE-599)BVBBV017188132 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV017188132 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:14:46Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010359178 |
| oclc_num | 37759363 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 17 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Brandt, Andreas Verfasser aut A note on the stability of the many queue head of the line processor sharing system with permanent customers Andreas Brandt ; Manfred Brandt Berlin Konrad-Zuse-Zentrum für Informationstechnik 1996 17 S. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1996,55 Abstract: "We consider a single server system consisting of n queues with different types of customers and k permanent customers. The permanent customers and those at the head of the queues are served in processor-sharing by the service facility (head-of-the-line processor- sharing). By means of Loynes' monotonicity method a stationary work load process is constructed and using sample path analysis general stability conditions are derived. They allow to decide which queues are stable and moreover to compute the fraction of processor capacity devoted to the permanent customers. In case of a stable system the constructed stationary state process is the only one and for any initial state the system converges pathwise to the steady state." Point processes Queuing theory Brandt, Manfred Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1996,55 (DE-604)BV004801715 1996,55 |
| spellingShingle | Brandt, Andreas Brandt, Manfred A note on the stability of the many queue head of the line processor sharing system with permanent customers Point processes Queuing theory |
| title | A note on the stability of the many queue head of the line processor sharing system with permanent customers |
| title_auth | A note on the stability of the many queue head of the line processor sharing system with permanent customers |
| title_exact_search | A note on the stability of the many queue head of the line processor sharing system with permanent customers |
| title_full | A note on the stability of the many queue head of the line processor sharing system with permanent customers Andreas Brandt ; Manfred Brandt |
| title_fullStr | A note on the stability of the many queue head of the line processor sharing system with permanent customers Andreas Brandt ; Manfred Brandt |
| title_full_unstemmed | A note on the stability of the many queue head of the line processor sharing system with permanent customers Andreas Brandt ; Manfred Brandt |
| title_short | A note on the stability of the many queue head of the line processor sharing system with permanent customers |
| title_sort | a note on the stability of the many queue head of the line processor sharing system with permanent customers |
| topic | Point processes Queuing theory |
| topic_facet | Point processes Queuing theory |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT brandtandreas anoteonthestabilityofthemanyqueueheadofthelineprocessorsharingsystemwithpermanentcustomers AT brandtmanfred anoteonthestabilityofthemanyqueueheadofthelineprocessorsharingsystemwithpermanentcustomers |