## An investigation of several queue server disciplines characterized by servers of varying cost |

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### Contents

High Cost Service Prompted by | 38 |

Results and Conclusions | 47 |

Expected Cost for Case IV t00 Using Counter | 68 |

1 other sections not shown

### Common terms and phrases

analysis Appendix Barrer Bell Telephone Laboratories birth-death process calculated CHANNELS 00 CHANNELS ciplines Coefficient Cost or Walt cost per unit costs and waiting customer arriving customer entering customer has waited Different Values discipline E[cost/unit E[wait in system EFFECT OF TRAFFIC effective arrival rate Equation II.5 Example expected cost expected wait finite number function of traffic given the number Go to SYNCH Graph high cost channel high cost queue high cost server increases infinite channeled INTENSITY ON AVERAGE low cost queue low cost server mean interarrival rate n=S+l number of customers number of high objective function Operations Research pj Q Poisson arrivals private wire Probabilities for Different QUEUE CUTOFF LENGTH Queuing Formula Queuing Theory recursion relation registered particles SERVENTH server is idle servers of varying service rate single high cost solution solved Steady-state operation Substituting Table 1 Cont'd telephone network thesis tions traffic intensity values of tq varying cost