Stochastic storage processes : queues, insurance risk, dams, and data communication /
This monograph gives a self-contained treatment of stochastic processes arising from models for queues, insurance risk, dams and data communication, using their sample function properties. The approach is based on the fluctuation theory of random walks, Levy processes, and Markov-additive processes,...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer,
c1998.
|
| Edition: | 2nd ed. |
| Series: | Applications of mathematics ;
15 |
| Subjects: | |
| Online Access: | Publisher description Table of contents only |
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| 019 | 1 | |a 13487756 |5 LACONCORD2021 | |
| 020 | |a 0387982485 (hardcover : alk. paper) | ||
| 035 | |a (OCoLC)37748477 |5 LACONCORD2021 | ||
| 040 | |a TOC |b eng |c TOC |d TOC | ||
| 042 | |a ukblcatcopy | ||
| 050 | 0 | 0 | |a T57.9 |b .P63 1998 |
| 082 | 0 | 0 | |a 519.8/2 |2 21 |
| 084 | |a PF 41 |2 blsrissc | ||
| 100 | 1 | |a Prabhu, N. U. |q (Narahari Umanath), |d 1924- | |
| 245 | 1 | 0 | |a Stochastic storage processes : |b queues, insurance risk, dams, and data communication / |c N.U. Prabhu. |
| 250 | |a 2nd ed. | ||
| 260 | |a New York : |b Springer, |c c1998. | ||
| 300 | |a xvi, 206 p. ; |c 25 cm. | ||
| 440 | 0 | |a Applications of mathematics ; |v 15 | |
| 500 | |a Previous ed.: 1980. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Pt. I. The Single Server Queue. 1. The Queue GI/G/1. 2. Further Results for the Queue GI/G/1. 3. The Queue M/M/1 -- Pt. II. Continuous Time Storage Models. 4. The Basic Storage Model -- Pt. III. Markov-Modulated Storage Models. 5. The Markov-Modulated Single Server Queue. 6. A Fluid Model for Data Communication. 7. A Data Communication Model with Packets. | |
| 520 | |a This monograph gives a self-contained treatment of stochastic processes arising from models for queues, insurance risk, dams and data communication, using their sample function properties. The approach is based on the fluctuation theory of random walks, Levy processes, and Markov-additive processes, in which Wiener-Hopf factorization plays a central role. The second edition includes results for the virtual waiting time and queue length in single server queues. The treatment of continuous time storage processes is thoroughly revised and simplified. Markov-modulated storage processes are included in Part III with application to data communication models. The book can be used as a text for an advanced course on applied probability models. The prerequisite is a graduate-level course in probability and stochastic processes. | ||
| 650 | 0 | |a Queuing theory. | |
| 650 | 0 | |a Stochastic processes. | |
| 856 | 4 | 2 | |3 Publisher description |u http://www.loc.gov/catdir/enhancements/fy0814/97035361-d.html |
| 856 | 4 | 1 | |3 Table of contents only |u http://www.loc.gov/catdir/enhancements/fy0814/97035361-t.html |
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