## A priority queueing system with service in two phases |

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### Contents

A TWOPHASE SERVICE QUEUEING SYSTEM | 25 |

SUMMARY AND SUGGESTIONS FOR FURTHER RESEARCH | 43 |

BIBLIOGRAPHY | 46 |

### Common terms and phrases

Adiri and Avi-Itzhak amount of service analysis arrival process assumed assumption Bell Telephone Laboratories bribe central processing unit chapter Computer Networks cost customer arrives customer requires customer spends defined derives the expected described df B(x df's distributions for S(t entered the system expected waiting exponential service exponentially distributed FB model first-served fixed quantum heavy traffic infinite number input/output job requires joined the system Kleinrock Laplace transform Laplace-Stieltjes transforms LS transform mean cycle multiprocessor model node Nth queue number of customers number of jobs obtain phases of service Poisson arrivals Poisson process preemptive resume preliminary processing previous section priority group processor sharing quantum expiration quantum length queue discipline queueing system random variable RR model RR system scheduling algorithm Schrage second phase service facility service requirements setup short jobs Single-Server Models spend waiting system busy period system conditioned Theorem thesis time-sharing system traffic intensity turn-around waiting line zero swap