Author | Rolski, Tomasz. author |
---|---|
Title | Stationary Random Processes Associated with Point Processes [electronic resource] / by Tomasz Rolski |
Imprint | New York, NY : Springer US, 1981 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-6268-5 |
Descript | 139 p. online resource |
1 Preliminaries -- 1 Introduction -- 2 Some notations and conventions -- 3 Ergodic theory โ discrete parameter -- 4 Ergodic theory โ continuous parameter -- 5 Stationary random elements -- 6 Loynesโ lemma -- 7 Queues -- Notes -- 2 Discrete time r.p.@ p.p. -- 1 Basic concepts -- 2 Construction of stationary processes -- 3 First and second type relations -- 4 Applications in queueing theory -- Notes -- 3 Continuous time r.p.@ m.p.p. -- 1 Random process associated with marked point process -- 2 Construction of stationary r.p.@ m.p.p.โs -- 3 Ergodic theorems -- 4 Relations of the first and second type -- 5 A rate conservative principle approach -- Notes -- 4 Miscellaneous examples -- 1 Inequalities and identities -- 2 Kopoci?skaโs model -- 3 Equivalence of distributions of embedded chains in the queue size process -- Notes -- 5 Application to single server queues -- 1 Introductory remarks -- 2 Single server queue with periodic input -- 3 Fagging queueing systems -- 4 $$\overrightarrow G /\overrightarrow G /1$$ queue with work-conserving normal discipline -- 5 Takรกcs relation in G/G/1; FIFO. queues -- 6 Takรกcs relation in GI/GI/1; FIFO queues -- Notes -- References