## Priority queuing systems with simultaneous server requirements |

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### Contents

ANALYTICAL PRELIMINARIES | 8 |

THE MANYSERVER ONECLASS SYSTEM | 25 |

COMPARISON AND DISCUSSION OF VARIOUS DISCIPLINES | 145 |

1 other sections not shown

### Common terms and phrases

2-1 disciplines alternating priority analysis Appendix arrival rate Avi-Itzhak blocking busy cycle Chapter class 1 input class 2 jobs class-1 CM CM Combining Equations considered core Cutting Stock Problem delay busy period delay cycle delay period denoted disci disciplines PRR2-1 dominates Equation 2.2 equivalent example expected flow expected length expected number expected value exponentially distributed FCFS given by Equation H CM Hence higher priority jobs identical in-process increase job arrives jobs which arrive L-S Transforms Laplace transform associated load factor lower priority job M-ALT Many-Server memoryless model PRR2-1 number of jobs obtained from Equation parameter plines Poisson process Poisson streams preemptions priority discipline priority queues processor queueing models queueing system queueing theory random modification random variable SEARCH-1 second moments Semi-Markov processes service rate steady state probabilities subtracting E(P switching point system is empty Table total input load Two-Class system Two-Server type-2 busy period XE(P ys+z