Elements of Queueing Theory: With ApplicationsStructure, Technique, and basic theory. Poisson queues. Non-Poisson queues. Queueing ramifications, applications, and renewal theory. |
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Page 154
... unit of time , we can express the probability of the number present at the end of a time interval in terms of the ... circle 21. Thus the numerator has zeros that coincide within and on the unit circle with all zeros of the denominator ...
... unit of time , we can express the probability of the number present at the end of a time interval in terms of the ... circle 21. Thus the numerator has zeros that coincide within and on the unit circle with all zeros of the denominator ...
Page 154
... unit of time , we can express the probability of the number present at the end of a time interval in terms of the ... circle 21. Thus the numerator has zeros that coincide within and on the unit circle with all zeros of the denominator ...
... unit of time , we can express the probability of the number present at the end of a time interval in terms of the ... circle 21. Thus the numerator has zeros that coincide within and on the unit circle with all zeros of the denominator ...
Page 168
... unit circle . Now the denominator has k + 1 zeros . Of these zeros , k lie on or interior to the unit circle by Rouché's theorem as applied to the denominator . Thus , if f ( z ) = -z ( p + 1 ) and g ( z ) = pzk + 1 +1 , the absolute ...
... unit circle . Now the denominator has k + 1 zeros . Of these zeros , k lie on or interior to the unit circle by Rouché's theorem as applied to the denominator . Thus , if f ( z ) = -z ( p + 1 ) and g ( z ) = pzk + 1 +1 , the absolute ...
Contents
A Description of Queues | 3 |
Poisson Queues | 81 |
NonPoisson Queues | 151 |
Copyright | |
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a₁ aircraft applied arrival occurs assume average number average waiting birth-death busy period calls Chap coefficient compute congestion constant customers delay denote derivative determined equilibrium Erlang's Erlangian example expected number exponential distribution exponential service expression finite given hence independent infinite integral interval jth phase Laplace transform Laplace-Stieltjes transform machines Markoff chain matrix mean moment-generating function multiplied n₁ n₂ Note number of channels number waiting obtained Operations Research p₁ P₁(t parameter Pn(t Po(t Poisson distribution Poisson input Poisson process priority Prob probability distribution queue length queueing problems queueing theory random variables renewal renewal theory result Rouché's theorem served service channel service distribution service rate service-time distribution single-channel queue solution solving Statist steady stochastic process studied theorem tion traffic values variance waiting line waiting-time distribution zero αι λε λι μ₁ Ро