Elements of Queueing Theory: With Applications |
From inside the book
Results 1-3 of 86
Page 164
... distribution , as the service distribution , an item entering service may be considered to generate a set of k phases of service . The phases have identical exponential distributions with parameter uk . As we have seen in Chap . 3 , the ...
... distribution , as the service distribution , an item entering service may be considered to generate a set of k phases of service . The phases have identical exponential distributions with parameter uk . As we have seen in Chap . 3 , the ...
Page 216
... service distributions . However , this alterna- tive approach requires that one determine the work load function K ( t ) . 9-4 . Multiple Channels , General Independent - input and Service Distribution We shall give only the result . We ...
... service distributions . However , this alterna- tive approach requires that one determine the work load function K ( t ) . 9-4 . Multiple Channels , General Independent - input and Service Distribution We shall give only the result . We ...
Page 219
... SERVICE 10-1 . Introduction In this chapter our main concern is the study of the number in the system and the distribution of the length of a busy period for systems with general independent input and exponential or Erlangian service ...
... SERVICE 10-1 . Introduction In this chapter our main concern is the study of the number in the system and the distribution of the length of a busy period for systems with general independent input and exponential or Erlangian service ...
Contents
A Description of Queues | 3 |
Poisson Queues | 81 |
NonPoisson Queues | 151 |
Copyright | |
4 other sections not shown
Other editions - View all
Common terms and phrases
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