3. 2 The Busy Period 43 3. 3 The M 1M IS System with Last Come,
First Served 50 3. 4 Comparison of FCFS and LCFS 51 3. 5
Time-Reversibility of Markov Processes 52 The Output Process 54 3.
6 3. 7 The Multi-Server System in a Series 55 Problems for Solution
3. 8 56 4 ERLANGIAN QUEUEING SYSTEMS 59 4. 1 Introduction 59 4. 2
The System M I E/c/1 60 4. 3 The System E/cl Mil 67 4. 4 The System
MIDI1 72 4. 5 Problems for Solution 74 PRIORITY SYSTEMS 79 5 5. 1
Description of a System with Priorities 79 Two Priority Classes
with Pre-emptive Resume Discipline 5. 2 82 5. 3 Two Priority
Classes with Head-of-Line Discipline 87 5. 4 Summary of Results 91
5. 5 Optimal Assignment of Priorities 91 5. 6 Problems for Solution
93 6 QUEUEING NETWORKS 97 6. 1 Introduction 97 6. 2 A Markovian
Network of Queues 98 6. 3 Closed Networks 103 Open Networks: The
Product Formula 104 6. 4 6. 5 Jackson Networks 111 6. 6 Examples of
Closed Networks; Cyclic Queues 112 6. 7 Examples of Open Networks
114 6. 8 Problems for Solution 118 7 THE SYSTEM M/G/I; PRIORITY
SYSTEMS 123 7. 1 Introduction 123 Contents ix 7. 2 The Waiting Time
in MIGI1 124 7. 3 The Sojourn Time and the Queue Length 129 7. 4
The Service Interval 132 7.
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