Author | Nelson, Randolph. author |
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Title | Probability, Stochastic Processes, and Queueing Theory [electronic resource] : The Mathematics of Computer Performance Modeling / by Randolph Nelson |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1995 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-2426-4 |
Descript | XXVIII, 584 p. online resource |
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 -- A.1 Randomness: Physical Systems -- A.1.1 Intrinsic Probability -- A.2 Randomness: Deterministic Systems -- A.2.1 The Bakerโs Transformation -- A.2.2 Dynamical Systems -- A.3 Deterministic Randomness** -- A.3.1 Isomorphism Between Systems -- A.3.2 Random Newtonian Systems -- A.4 Summary of Appendix A -- A.5 Problems for Appendix A -- B Combinatorial Equalities and Inequalities -- B.1 Noninteger Combinatorial Expressions -- B.2 Binomial Formula -- B.3 Stirlingโs (de Moivreโs) Formula -- B.4 Bounds on Factorial Expressions -- B.5 Noninteger Factorials** -- C Tables of Laplace Transforms and Generating Functions -- C.0.1 Laplace Transforms -- C.1 Generating Functions -- D Limits and Order Relationships -- D.1 Limits -- D.2 Order Relationships -- E List of Common Summations -- References -- Index of Notation