Computations with Markov Chains
Springer-Verlag New York Inc.
978-1-4613-5943-2 (ISBN)
An authoritative overview of the field for applied probabilists, numerical analysts and systems modelers, including computer scientists and engineers.
1 Detecting Block GI/M/1 and Block M/G/1 Matrices from Model Specifications.- 2 On Cyclic Reduction Applied to a Class of Toeplitz-like Matrices Arising in Queueing Problems.- 3 A Markov Modulated, Nearly Completely Decomposable M/M/1 Queue.- 4 Preconditioned Krylov subspace methods for the numerical solution of Markov chains.- 5 A Parallel Block Projection Method of the Cimmino Type for Finite Markov Chains.- 6 Iterative Methods for Queueing Models with Batch Arrivals.- 7 Transient Colutions of Markov Processes by Krylov Subspaces.- 8 Exact Methods for the Transient Analysis of Nonhomogeneous Continuous Time Markov Chains.- 9 Time-Dependent behavior of Redundant Systems with Deterministic Repair.- 10 What is Fundamental for Markov Chains: First Passage Times, Fundamental Matrices, and Group Generalized Inverses.- 11 Immediate Events in Markov Chains.- 12 Compositional Markovian Modelling Using A Process Algebra.- 13 Equivalence Relations for Stochastic Automata Networks.- 14 Graphs and Stochastic Automata Networks.- 15 Analyzing Sample Path Data from Markov Chain Sampling Experiments.- 16 Resource Sharing Models with State-Dependent Arrivais of Batches.- 17 Implementable Policies: Discounted Cost Case.- 18 Two Bounding Schemes for the Steady-State Solution of Markov Chains.- 19 The Power-Series Algorithm for Markovian Queueing Networks.- 20 Discrete-Time Markovian Stochastic Petri Nets.- 21 Concurrent Generalized Petri Nets.- 22 Exploiting Isomorphisms and Special Structures in the Analysis of Markov Regenerative Stochastic Petri Nets.- 23 Numerical solution of large finite Markov chains by algebraic multigrid techniques.- 24 On the Utility of the Multi-Level Algorithm for the Solution of Nearly Completely Decomposable Markov Chains.- 25 A Computationally Efficient Algorithm for Characterizing the Superposition of Multiple Heterogeneous Interrupted Bernoulli Processes.- 26 Generalized Folding Algorithm for Transient Analysis of Finite QBD Processes and its Queueing Applications.- 27 Efficient Solutions for a Class of Non-Markovian Models.- 28 Markovian Arrival and Service Communication Systems: Spectral Expansions, Separability and Kronecker-Product Forms.- 29 Empirical Comparison of Uniformization Methods for Continuous-Time Markov Chains.- 30 Numerical Methods for M/G/1 Type Queues.- 31 Closing the Gap between Classical and Tensor Based Iteration Techniques.- 32 Adaptive Relaxation for the Steady-State Analysis of Markov Chains.- 33 State Space Decomposition for Large Markov Chains.- 34 Aggregation/Disaggregation Method on Parallel Computer.- 35 Parallel Implementation of the GTH Algorithm for Markov Chains.- 36 A Parallel Implementation of the Block-GTH algorithm.- 37 Approximate Computation of Sojourn Time Distribution in Open Queueing Networks.
Zusatzinfo | XVI, 600 p. |
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Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Wirtschaft ► Betriebswirtschaft / Management | |
ISBN-10 | 1-4613-5943-0 / 1461359430 |
ISBN-13 | 978-1-4613-5943-2 / 9781461359432 |
Zustand | Neuware |
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