Probability, stochastic processes, and queueing theory : the mathematics of computer performance modelling / Randolph Nelson.

This textbook provides a comprehensive introduction to probability and stochastic processes, and shows how these subjects may be applied in computer performance modeling. The author's aim is to derive probability theory in a way that highlights the complementary nature of its formal, intuitive,...

Full description

Saved in:
Bibliographic Details
Main Author: Nelson, Randolph
Format: eBook
Language:English
Published: New York : Springer-Verlag, [1995]
Subjects:
Online Access:Click for online access

MARC

LEADER 00000cam a2200000 i 4500
001 ocn861706607
003 OCoLC
005 20240623213015.0
006 m o d
007 cr cnu---unuuu
008 131029s1995 nyua ob 001 0 eng d
040 |a GW5XE  |b eng  |e rda  |e pn  |c GW5XE  |d OCLCQ  |d OCLCF  |d COO  |d OCLCQ  |d EBLCP  |d UAB  |d OCLCQ  |d U3W  |d AU@  |d TKN  |d LEAUB  |d OCLCQ  |d UKAHL  |d K6U  |d OCLCO  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCO  |d OCLCL  |d S9M  |d SXB 
019 |a 934974024 
020 |a 9781475724264  |q (electronic bk.) 
020 |a 1475724268  |q (electronic bk.) 
020 |a 9781441928467  |q (print) 
020 |a 1441928464  |q (print) 
020 |z 0387944524 
020 |z 9780387944524 
024 7 |a 10.1007/978-1-4757-2426-4  |2 doi 
035 |a (OCoLC)861706607  |z (OCoLC)934974024 
050 4 |a QA273  |b .N354 1995eb 
049 |a HCDD 
100 1 |a Nelson, Randolph. 
245 1 0 |a Probability, stochastic processes, and queueing theory :  |b the mathematics of computer performance modelling /  |c Randolph Nelson. 
264 1 |a New York :  |b Springer-Verlag,  |c [1995] 
264 4 |c ©1995 
300 |a 1 online resource (xxviii, 583 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (pages 553]-566) and indexes. 
505 0 |a 1. Introduction -- I. Probability. 2. Randomness and Probability. 3. Combinatorics. 4. Random Variables and Distributions. 5. Expectation and Fundamental Theorems -- II. Stochastic Processes. 6. The Poisson Process and Renewal Theory. 7. The M/G/1 Queue. 8. Markov Processes. 9. Matrix Geometric Solutions. 10. Queueing Networks. 11. Epilogue and Special Topics -- A. Types of Randomness -- B. Combinatorial Equalities and Inequalities -- C. Tables of Laplace Transforms and Generating Functions -- D. Limits and Order Relationships -- E. List of Common Summations. 
520 |a This textbook provides a comprehensive introduction to probability and stochastic processes, and shows how these subjects may be applied in computer performance modeling. The author's aim is to derive probability theory in a way that highlights the complementary nature of its formal, intuitive, and applicative aspects while illustrating how the theory is applied in a variety of settings. 
520 8 |a Readers are assumed to be familiar with elementary linear algebra and calculus, including being conversant with limits, but otherwise, this book provides a self-contained approach suitable for graduate or advanced undergraduate students. The first half of the book covers the basic concepts of probability, including combinatorics, expectation, random variables, and fundamental theorems. In the second half of the book, the reader is introduced to stochastic processes. Subjects covered include renewal processes, queueing theory, Markov processes, matrix geometric techniques, reversibility, and networks of queues. Examples and applications are drawn from problems in computer performance modeling. Throughout, large numbers of exercises of varying degrees of difficulty will help to secure a reader's understanding of these important and fascinating subjects. 
588 0 |a Print version record. 
650 0 |a Probabilities. 
650 0 |a Stochastic processes. 
650 0 |a Queuing theory. 
650 7 |a probability.  |2 aat 
650 7 |a Probabilidades  |2 embne 
650 7 |a Procesos estocásticos  |2 embne 
650 7 |a Probabilities  |2 fast 
650 7 |a Queuing theory  |2 fast 
650 7 |a Stochastic processes  |2 fast 
650 1 7 |a Wachttijdproblemen.  |2 gtt 
650 1 7 |a Stochastische processen.  |2 gtt 
650 7 |a Probabilités.  |2 ram 
650 7 |a Processus stochastiques.  |2 ram 
650 7 |a Files d'attente, théorie des.  |2 ram 
758 |i has work:  |a Probability, stochastic processes, and queuing theory (Text)  |1 https://id.oclc.org/worldcat/entity/E39PD3gXm9ptGjFHWvj87YVqDC  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Nelson, Randolph.  |t Probability, stochastic processes, and queueing theory  |z 0387944524  |w (DLC) 95004041  |w (OCoLC)31970189 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3084802  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD