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Details for:
Chakravarthy S. Intr. Matrix Analytic Methods in Queues 2...2022
chakravarthy s intr matrix analytic methods queues 2 2022
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E-books
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39.4 MB
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Oct. 1, 2022, 12:13 p.m.
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andryold1
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DB81A6393929AFBD7BCAA28735642F274B72EBD9
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Textbook in PDF format Matrix-analytic methods (MAM) were introduced by Professor Marcel Neuts and have been applied to a variety of stochastic models since. In order to provide a clear and deep understanding of MAM while showing their power, this book presents MAM concepts and explains the results using a number of worked-out examples. This book's approach will inform and kindle the interest of researchers attracted to this fertile field. To allow readers to practice and gain experience in the algorithmic and computational procedures of MAM, Introduction to Matrix-Analytic Methods in Queues 2 provides a number of computational exercises. It also incorporates simulation as another tool for studying complex stochastic models, especially when the state space of the underlying stochastic models under analytic study grows exponentially. This book's detailed approach will make it more accessible for readers interested in learning about MAM in stochastic models. List of Notations Preface Single-Server Queues Embedded at Departure Epochs BMAP/G/1 queue MAP/G/1 queue PH/G/1 queue M/G/1 queue PH/M/1 queue M/M/1 queue Exercises Single-Server Queues Embedded at Arrival Epochs GI/PH/1 queue GI/M/1 queue M/PH/1 queue M/M/1 queue Exercises Single-Server Queues Based on Arbitrary Epochs BMAP/PH/1 queue MAP/PH/1 queueing model PH/PH/1 queue PH/M/1 queue M/PH/1 queue M/M/1 queue Exercises Busy Period in Queues Busy period in M/G/1-type queues (scalar case) Busy period in M/G/1-type queues (matrix case) Busy period in GI/M/1-type queues (scalar case) Busy period in GI/PH/1-type queues BMAP/PH/1 queue Busy period in QBD-type queues When the fundamental period is not the busy period GI/G/1 queues Exercises Multi-Server Queues BMAP/PH/c queue MAP/PH/3 queue BMAP/M/c queue MAP/M/c queue M/M/c queue GI/PH/c queue Exercises Finite-Capacity Queues Finite-capacity queues with single server BMAP/PH/1/K queue MAP/PH/1/K queue PH/M/1/K queue M/PH/1/K queue M/M/1/K queue Finite-capacity queues with multiple servers BMAP/M/c/K queue MAP/M/c/K queue PH/M/c/K queue M/M/c/K queue Exercises Simulation Introduction to ARENA Model building using ARENA GI/G/c queues ARENA modules for GI/G/c queues Validation of GI/G/1 queues Simulated examples for GI/G/1 queues Validation of GI/G/c queues Simulated examples of GI/G/c queues BMAP/G/c queues ARENA modules for BMAP/G/c queues Validation of BMAP/G/1 queues Simulated examples for BMAP/G/1 queues Validation of BMAP/M/c queues Simulated examples for BMAP/G/c queues Exercises References Index
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Chakravarthy S. Intr. Matrix Analytic Methods in Queues 2...2022.pdf
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