Stochastic Storage Processes: Queues, Insurance Risk, Dams, and Data Communication
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Applications of Mathematics, Stochastic Modelling and Applied Probability
15 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is a revised and expanded version of the earlier edition. The new material is on Markov-modulated storage processes arising from queueing and data communication models. The analysis of these models is based on the fluctuation theory of Markov-additive processes and their discrete time analogues, Markov random walks. The workload and queue length processes, omitted from the earlier edition, are also presented. In addition, many sections have been rewritten, with new results and proofs, as well as further examples. The mathematical level and style of presentation, however, remain the same. Chapter I contains a comprefensive treatment of the waiting time and related quantities in a single server queue, combining Chapters 1 and 2 of the earlier edition. In Chapter 2 we treat the (continuous time) workload and queue length processes using their semiregenerative properties. Also included are bulk queues omitted from the earlier edition, but included in its Russian translation. The queue MIMIl is presented in Chapter 3. This is the so-called simple queue, but its treatment in most of the literature is far from simple. Our analysis of the queue length process is elementary and yields explicit results for various distributions of interest. are treated in Chapter 4, combining Chapters 3 Continuous time storage models and 4 of the earlier edition. We present extensive new material, omitting much of the old Chapter 4. This has resulted in a streamlined account of this important class of models |
| Beschreibung: | 1 Online-Ressource (XVI, 207 p) |
| ISBN: | 9781461217428 9781461272601 |
| ISSN: | 0172-4568 |
| DOI: | 10.1007/978-1-4612-1742-8 |
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Datensatz im Suchindex
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| isbn | 9781461217428 9781461272601 |
| issn | 0172-4568 |
| language | English |
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| series2 | Applications of Mathematics, Stochastic Modelling and Applied Probability |
| spelling | Prabhu, Narahari U. 1924- Verfasser (DE-588)118076183 aut Stochastic Storage Processes Queues, Insurance Risk, Dams, and Data Communication by N. U. Prabhu Second Edition New York, NY Springer New York 1998 1 Online-Ressource (XVI, 207 p) txt rdacontent c rdamedia cr rdacarrier Applications of Mathematics, Stochastic Modelling and Applied Probability 15 0172-4568 This is a revised and expanded version of the earlier edition. The new material is on Markov-modulated storage processes arising from queueing and data communication models. The analysis of these models is based on the fluctuation theory of Markov-additive processes and their discrete time analogues, Markov random walks. The workload and queue length processes, omitted from the earlier edition, are also presented. In addition, many sections have been rewritten, with new results and proofs, as well as further examples. The mathematical level and style of presentation, however, remain the same. Chapter I contains a comprefensive treatment of the waiting time and related quantities in a single server queue, combining Chapters 1 and 2 of the earlier edition. In Chapter 2 we treat the (continuous time) workload and queue length processes using their semiregenerative properties. Also included are bulk queues omitted from the earlier edition, but included in its Russian translation. The queue MIMIl is presented in Chapter 3. This is the so-called simple queue, but its treatment in most of the literature is far from simple. Our analysis of the queue length process is elementary and yields explicit results for various distributions of interest. are treated in Chapter 4, combining Chapters 3 Continuous time storage models and 4 of the earlier edition. We present extensive new material, omitting much of the old Chapter 4. This has resulted in a streamlined account of this important class of models Statistics Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Statistik Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Warteschlangentheorie (DE-588)4255044-0 s Stochastischer Prozess (DE-588)4057630-9 s 1\p DE-604 Applications of Mathematics, Stochastic Modelling and Applied Probability 15 (DE-604)BV000895226 15 https://doi.org/10.1007/978-1-4612-1742-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Prabhu, Narahari U. 1924- Stochastic Storage Processes Queues, Insurance Risk, Dams, and Data Communication Applications of Mathematics, Stochastic Modelling and Applied Probability Statistics Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Statistik Stochastischer Prozess (DE-588)4057630-9 gnd Warteschlangentheorie (DE-588)4255044-0 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4255044-0 |
| title | Stochastic Storage Processes Queues, Insurance Risk, Dams, and Data Communication |
| title_auth | Stochastic Storage Processes Queues, Insurance Risk, Dams, and Data Communication |
| title_exact_search | Stochastic Storage Processes Queues, Insurance Risk, Dams, and Data Communication |
| title_full | Stochastic Storage Processes Queues, Insurance Risk, Dams, and Data Communication by N. U. Prabhu |
| title_fullStr | Stochastic Storage Processes Queues, Insurance Risk, Dams, and Data Communication by N. U. Prabhu |
| title_full_unstemmed | Stochastic Storage Processes Queues, Insurance Risk, Dams, and Data Communication by N. U. Prabhu |
| title_short | Stochastic Storage Processes |
| title_sort | stochastic storage processes queues insurance risk dams and data communication |
| title_sub | Queues, Insurance Risk, Dams, and Data Communication |
| topic | Statistics Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Statistik Stochastischer Prozess (DE-588)4057630-9 gnd Warteschlangentheorie (DE-588)4255044-0 gnd |
| topic_facet | Statistics Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Statistik Stochastischer Prozess Warteschlangentheorie |
| url | https://doi.org/10.1007/978-1-4612-1742-8 |
| volume_link | (DE-604)BV000895226 |
| work_keys_str_mv | AT prabhunarahariu stochasticstorageprocessesqueuesinsuranceriskdamsanddatacommunication |