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" Foundations of Queueing Theory "
by N.U. Prabhu.
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BL
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| Record Number
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734202
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b554030
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| Main Entry
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by N.U. Prabhu.
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| Title & Author
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Foundations of Queueing Theory\ by N.U. Prabhu.
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| Publication Statement
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Boston, MA: Springer US, 1997
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| Series Statement
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International series in operations research & management science, 7.
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| Page. NO
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(xiv, 206 pages)
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| ISBN
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1461562058
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: 9781461562054
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| Contents
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1 Introduction --;1.1 Description of a Queueing System --;1.2 The Basic Model GI/G/S --;1.3 Processes of Interest --;1.4 The Nature of Congestion --;1.5 Little's Formula L =?W --;1.6 Control of Queueing Systems --;1.7 Historical Remarks --;2 Markovian Queueing Systems --;2.1 Introduction --;2.2 The System M/M/1 --;2.3 The System M/M/s --;2.4 A Design Problem --;2.5 M/M/s System with Finite Source --;2.6 The Machine Interference Problem --;2.7 The System M/M/s with Finite Capacity --;2.8 Loss Systems --;2.9 Social Versus Self-Optimization --;2.10 The System M/M/s with Balking --;2.11 The System M/M/s with Reneging --;2.12 Problems for Solution --;3 The Busy Period, Output and Queues in Series --;3.1 Introduction --;3.2 The Busy Period --;3.3 The M/M/S System with Last Come, First Served --;3.4 Comparison of FCFS and LCFS --;3.5 Time-Reversibility of Markov Processes --;3.6 The Output Process --;3.7 The Multi-Server System in a Series --;3.8 Problems for Solution --;4 Erlangian Queueing Systems --;4.1 Introduction --;4.2 The System M/Ek/1 --;4.3 The System Ek/M/1 --;4.4 The System M/D/1 --;4.5 Problems for Solution --;5 Priority Systems --;5.1 Description of a System with Priorities --;5.2 Two Priority Classes with Pre-emptive Resume Discipline --;5.3 Two Priority Classes with Head-of-Line Discipline --;5.4 Summary of Results --;5.5 Optimal Assignment of Priorities --;5.6 Problems for Solution --;6 Queueing Networks --;6.1 Introduction --;6.2 A Markovian Network of Queues --;6.3 Closed Networks --;6.4 Open Networks: The Product Formula --;6.5 Jackson Networks --;6.6 Examples of Closed Networks; Cyclic Queues --;6.7 Examples of Open Networks --;6.8 Problems for Solution --;7 The System M/G/1; Priority Systems --;7.1 Introduction --;7.2 The Waiting Time in M/G/1 --;7.3 The Sojourn Time and the Queue Length --;7.4 The Service Interval --;7.5 The M/G/1 System with Exceptional Service --;7.6 The Busy Period in M/G/1 --;7.7 Completion Times in Priority Systems --;7.8 Low Priority Waiting Time --;7.9 Problems for Solution --;8 The System GI/G/1; Imbedded Markov Chains --;8.1 Imbedded Markov Chains --;8.2 The System GI/G/1 --;8.3 The Wiener-Hopf Technique; Examples --;8.4 Set-up Times; Server Vacations --;8.5 The Queue Length and Waiting Time in GI/M/1 --;8.6 The Queue Length in M/G/1 --;8.7 Time Sharing Systems --;8.8 The M/M/1 System with RR Discipline --;8.9 Problems for Solution --;A Appendix --;A.1 The Poisson Process --;A.2 Renewal Theory --;A.3 The Birth-And-Death Process --;A.4 Markov Processes with a Countable State Space --;A.5 Markov Chains --;A.6 Two Theorems on Functional Equations --;A.7 Review Problems in Probability and Stochastic Processes --;B Bibliography.
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| Abstract
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3 The M 1M IS System with Last Come, First Served 50 3. 6 3. 8 56 4 ERLANGIAN QUEUEING SYSTEMS 59 4. 3 The System E/cl Mil 67 4. 5 Problems for Solution 74 PRIORITY SYSTEMS 79 5 5. 6 Problems for Solution 93 6 QUEUEING NETWORKS 97 6. 3 Closed Networks 103 Open Networks: The Product Formula 104 6. 5 Jackson Networks 111 6.
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| Subject
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Distribution (Probability theory)
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Economics.
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Operations research.
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| LC Classification
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QA274.8B968 1997
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| Added Entry
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N U Prabhu
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