General Stochastic Processes In The Theory Of Queues
by Vaclav E. Benes /
2017 / English / EPUB
8.1 MB Download
This concise, widely referenced monograph addresses an important
topic in queuing theory: delays in queuing systems with one server.
The book offers a general, rigorous presentation of mathematical
theory in addition to an understandable, practical account of
applications. This balanced treatment is suitable for advanced
undergraduates and graduate students in applied mathematics,
operations research, and electrical engineering as well as
professional electrical engineers.
This concise, widely referenced monograph addresses an important
topic in queuing theory: delays in queuing systems with one server.
The book offers a general, rigorous presentation of mathematical
theory in addition to an understandable, practical account of
applications. This balanced treatment is suitable for advanced
undergraduates and graduate students in applied mathematics,
operations research, and electrical engineering as well as
professional electrical engineers.
The text examines delays in queues with one server and order of
arrival service without any restrictions on the statistical
character of the offered traffic. Formulas and equations describing
probabilities of delay and loss are established by elementary
methods. Despite the generality of the approach, intuitive proofs
and extensive applications of the physical significance of formulas
are given, along with rigorous derivations. The theory is then
applied to specific models to obtain illustrative new results.
The text examines delays in queues with one server and order of
arrival service without any restrictions on the statistical
character of the offered traffic. Formulas and equations describing
probabilities of delay and loss are established by elementary
methods. Despite the generality of the approach, intuitive proofs
and extensive applications of the physical significance of formulas
are given, along with rigorous derivations. The theory is then
applied to specific models to obtain illustrative new results.