Titlebook: Mathematical Methods in Queueing Theory; Proceedings of a Con A. Bruce Clarke Conference proceedings 1974 Springer-Verlag Berlin · Heidelbe

人充滿活力

deviate

The Markov Renewal Branching Process,cessive generations in a branching process. This process is called a Markov renewal branching process; it arises in the study of the busy period in several queueing models..This paper contains a general definition and a discussion of the most important properties of the Markov renewal branching process.

小口啜飲

Some Topics in Queueing Network Theory,eueing networks exist in real life, the study of such systems has not progressed at a pace commensurate with its importance. Rather, the theory of waiting line processes has proceeded largely as a study of single server systems. Isolated “network” results do exist but as yet no comprehensive treatment of the subject has appeared.

諷刺滑稽戲劇

Some New Results in the Statistical Analysis of Queues, parameters and/or distributions in various queueing contexts. A fair amount of background material is quoted from the literature in order to provide an appropriate setting for the discussion of the new results.

灰姑娘

On the Extension of Congestion Theorems to Multi-Channel Systems,fs used for one-server systems and describes an auxiliary system which is used to extend the proofs to m-server queues. Weak convergence theorems for the virtual and the real waits are discussed and an extension of Kingman’s theorem (1961) is given as applications of the method discussed.

勤勉

Abjure

正式演說

Gudgeon

Heavy Traffic Limit Theorems for Queues: A Survey,r to descriptions of other growing processes associated with queues. In the same way, heavy traffic approximations for stable queues are part of a large class of approximations for queueing systems. I relate heavy traffic research to these more general activities.

軍械庫

Graphical Representation of Queue Evolution for Multiple-Server Systems,ngineers go the other way. Occasionally when they meet (which becomes less and less frequent), the mathematician curses the engineer for not learning all the latest theorems, and the engineer curses the mathematician for not understanding the real problems.