DECOMPOSABLE SEMI-REGENERATIVE PROCESSES: AND THEIR APPLICATIONS - Softcover

Rykov, Vladimir

Softcover

ISBN 10: 3843391424 ISBN 13: 9783843391429

Publisher: LAP LAMBERT Academic Publishing, 2011

Synopsis

A very known notion of regeneration means that the "future" of a stochastic process became independent from its "past" in some random times, which is usually times of some state (regeneration state) destination. Presence of regeneration times allows to represent appropriate process as independent functional elements, regeneration cycles, investigate its characteristics in terms of them at separate regeneration cycles and proof some asimptotic theorem about this type of processes. If there are several such regeneration states this notion is generalised up to notion of semi- regeneration. In this case the process could be represented as a Markov chain of its cycles. Next step of generalization consists in discovering of some embedded regeneration times that allows to construct some hierarchical structure for the processes, possessing this property. This processes are named as decomposable semi-regenerative processes. The methods of these processes applied then for the investigation of several models: M/GI/1 queueing system, M_r/GI_r/1 priority queueing system, GI/GI/1 queueing system, polling system and reliability of complex hierarchical system.

About this title

About the Author

Vladimir Rykov, BS+MS, PhD and DSci on Probab. Theory and Math. Stat. from Moscow State University. Prof of Appl. Math & Computer Modeling Dept., Gubkin Russian State Oil&Gas University. Main interests are: controllable queueing systems and reliability theory. He is author of 17 books, handbooks, reviews, text books and more than 200 publications.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2011
• Language: English
• ISBN 10: 3843391424
• ISBN 13: 9783843391429
• Binding: Paperback
• Number of pages: 84