From Markov Jump Processes to Spatial Queues | Inhalt, Autor und bibliografische Daten

From Markov Jump Processes to Spatial Queues im Überblick

Mit From Markov Jump Processes to Spatial Queues liegt ein Buch von L. Breuer vor, das der Kategorie Sachbuch zugeordnet wird und sich für alle eignet, die gezielt nach Literatur mit diesem Schwerpunkt suchen. Inhaltlich lässt sich From Markov Jump Processes to Spatial Queues folgendermaßen zusammenfassen: From Markov Jump Processes to Spatial Queues aims to develop a unified theory of spatial queues that yields concrete results for the performance analysis of mobile communication networks. A particular objective is to develop the most natural generalization of existing concepts (e.g. the BMAP) toward the needs of mobile communication networks. To these belong the spatial distribution of batch arrivals and users in the system as well as time-inhomogeneous (e.g. periodic) arrival intensities and user movements. One of the major recent challenges for the stochastic modelling of communication systems is the emergence of wireless networks, which are used by more and more subscribers today. The main new feature of those, which is not covered by classical queuing theory, clearly is the importance of the user location within the area that is served by the base stations of the network. In the framework of queuing theory, this opens up the natural extension of classical queuing models towards queues with a structured space in which users are served. The present book is intended to introduce this extension under the name of spatial queues. The main point of view and the general approach will be that of Markov jump processes. We start with a closer look into the theory. Then we present new results for the theory of stochastic processes as well as for classical queuing theory. Finally we introduce the new concepts of spatial Markovian arrival processes and spatial queues. The main text is divided into three parts. The first part provides a new presentation of the theory of Markov jump processes. We derive a number of new results, especially for time-inhomogeneous processes, which have been neglected too much in the current textbooks on stochastic processes. For the first time, the class of Markov-additive jump processes is analysed in detail. This extends and unifies all Markovian arrival processes that have been proposed up to now (including arrivals for fluid queues) and provides a foundation for the subsequent introduction of spatial Markovian arrival processes. The second part contains new results for classical queues with BMAP input. These include the first explicit formulae for the distribution of periodic queues. The class of fluid Markovian arrival processes is introduced, and we give statistical estimates for the parameters of a BMAP. In the third part, the concepts of spatial Markovian arrival processes (abbreviated: SMAPs) and spatial queues are introduced. After that, periodic spatial Markovian queues are analysed as a model for the cells of a wireless communication network. From Markov Jump Processes to Spatial Queues is intended to reach queuing theorists, researchers in the field of communication systems, as well as engineers with some background in probability theory. Furthermore, it is suitable as a textbook for advanced queuing theory on the graduate or post-graduate level Die Ausgabe erschien am 2003 bei Springer Netherlands und ist dem Verlagsstandort Dordrecht zugeordnet.

Relevante Merkmale auf einen Blick

Durch die Zuordnung zur Kategorie Sachbuch wird From Markov Jump Processes to Spatial Queues auch für thematische Recherchen besonders relevant. Die Angaben zu Springer Netherlands und Dordrecht stärken die bibliografische Präzision des Eintrags. Die Ausgabe ist in Deutsch verfügbar und damit gezielt für Leserinnen und Leser mit entsprechender Sprachpräferenz interessant. Für alle, die Bücher von L. Breuer recherchieren oder vergleichen, ist From Markov Jump Processes to Spatial Queues eine relevante Ausgabe. Für Recherchen nach Veröffentlichungszeitraum ist From Markov Jump Processes to Spatial Queues mit dem Datum 2003 eindeutig zuordenbar.

Was behandelt From Markov Jump Processes to Spatial Queues?

From Markov Jump Processes to Spatial Queues lässt sich inhaltlich innerhalb von Sachbuch verorten und wird in der Beschreibung wie folgt umrissen: From Markov Jump Processes to Spatial Queues aims to develop a unified theory of spatial queues that yields concrete results for the performance analysis of mobile communication networks. A particular objective is to develop the most natural generalization of existing concepts (e.g. the BMAP) toward the needs of mobile communication networks. To these belong the spatial distribution of batch arrivals and users in the system as well as time-inhomogeneous (e.g. periodic) arrival intensities and user movements. One of the major recent challenges for the stochastic modelling of communication systems is the emergence of wireless networks, which are used by more and more subscribers today. The main new feature of those, which is not covered by classical queuing theory, clearly is the importance of the user location within the area that is served by the base stations of the network. In the framework of queuing theory, this opens up the natural extension of classical queuing models towards queues with a structured space in which users are served. The present book is intended to introduce this extension under the name of spatial queues. The main point of view and the general approach will be that of Markov jump processes. We start with a closer look into the theory. Then we present new results for the theory of stochastic processes as well as for classical queuing theory. Finally we introduce the new concepts of spatial Markovian arrival processes and spatial queues. The main text is divided into three parts. The first part provides a new presentation of the theory of Markov jump processes. We derive a number of new results, especially for time-inhomogeneous processes, which have been neglected too much in the current textbooks on stochastic processes. For the first time, the class of Markov-additive jump processes is analysed in detail. This extends and unifies all Markovian arrival processes that have been proposed up to now (including arrivals for fluid queues) and provides a foundation for the subsequent introduction of spatial Markovian arrival processes. The second part contains new results for classical queues with BMAP input. These include the first explicit formulae for the distribution of periodic queues. The class of fluid Markovian arrival processes is introduced, and we give statistical estimates for the parameters of a BMAP. In the third part, the concepts of spatial Markovian arrival processes (abbreviated: SMAPs) and spatial queues are introduced. After that, periodic spatial Markovian queues are analysed as a model for the cells of a wireless communication network. From Markov Jump Processes to Spatial Queues is intended to reach queuing theorists, researchers in the field of communication systems, as well as engineers with some background in probability theory. Furthermore, it is suitable as a textbook for advanced queuing theory on the graduate or post-graduate level Über die Schlagwörter Statistics, Mathematics, System theory, Computer Communication Networks, Distribution (Probability theory), Probability Theory and Stochastic Processes, Statistics, general, Control Systems Theory, Mathematical Modeling and Industrial Mathematics lässt sich From Markov Jump Processes to Spatial Queues auch in größeren Beständen gezielt auffinden.

Edition und bibliografische Einordnung

Im Open-Library-Kontext ist das Werk über OL19851391W sowie die Editionszuordnungen OL27039967M referenzierbar. Sowohl die ISBN-10 9401002398 als auch die ISBN-13 9789401002394 erleichtern das Auffinden und Vergleichen dieser Ausgabe erheblich. Durch die Kombination aus Springer Netherlands, Dordrecht und 2003 lässt sich die Ausgabe sauber verorten.

Wichtige Buchdaten im Überblick

1. Externe Editionsreferenzen: OL27039967M
2. Format: physical
3. Autor beziehungsweise Autoren: L. Breuer
4. Sprache: Deutsch
5. Thematische Tags: Statistics, Mathematics, System theory, Computer Communication Networks, Distribution (Probability theory), Probability Theory and Stochastic Processes, Statistics, general, Control Systems Theory, Mathematical Modeling and Industrial Mathematics
6. Primäre Kategorie: Sachbuch
7. Internationale Standardbuchnummer (ISBN-13): 9789401002394
8. Veröffentlicht am: 2003
9. Verlagsort: Dordrecht
10. Titel: From Markov Jump Processes to Spatial Queues
11. Inhaltliche Kurzcharakteristik: From Markov Jump Processes to Spatial Queues aims to develop a unified theory of spatial queues that yields concrete results for the performance analysis of mobile communication networks. A particular objective is to develop the most natural generalization of existing concepts (e.g. the BMAP) toward the needs of mobile communication networks. To these belong the spatial distribution of batch arrivals and users in the system as well as time-inhomogeneous (e.g. periodic) arrival intensities and user movements. One of the major recent challenges for the stochastic modelling of communication systems is the emergence of wireless networks, which are used by more and more subscribers today. The main new feature of those, which is not covered by classical queuing theory, clearly is the importance of the user location within the area that is served by the base stations of the network. In the framework of queuing theory, this opens up the natural extension of classical queuing models towards queues with a structured space in which users are served. The present book is intended to introduce this extension under the name of spatial queues. The main point of view and the general approach will be that of Markov jump processes. We start with a closer look into the theory. Then we present new results for the theory of stochastic processes as well as for classical queuing theory. Finally we introduce the new concepts of spatial Markovian arrival processes and spatial queues. The main text is divided into three parts. The first part provides a new presentation of the theory of Markov jump processes. We derive a number of new results, especially for time-inhomogeneous processes, which have been neglected too much in the current textbooks on stochastic processes. For the first time, the class of Markov-additive jump processes is analysed in detail. This extends and unifies all Markovian arrival processes that have been proposed up to now (including arrivals for fluid queues) and provides a foundation for the subsequent introduction of spatial Markovian arrival processes. The second part contains new results for classical queues with BMAP input. These include the first explicit formulae for the distribution of periodic queues. The class of fluid Markovian arrival processes is introduced, and we give statistical estimates for the parameters of a BMAP. In the third part, the concepts of spatial Markovian arrival processes (abbreviated: SMAPs) and spatial queues are introduced. After that, periodic spatial Markovian queues are analysed as a model for the cells of a wireless communication network. From Markov Jump Processes to Spatial Queues is intended to reach queuing theorists, researchers in the field of communication systems, as well as engineers with some background in probability theory. Furthermore, it is suitable as a textbook for advanced queuing theory on the graduate or post-graduate level
12. Internationale Standardbuchnummer (ISBN-10): 9401002398
13. Publiziert bei: Springer Netherlands
14. Externe Work-Referenz: OL19851391W

Auffindbarkeit und bibliografische Präzision

Durch die Kombination aus Titel, Autorenschaft, Kategorie und Schlagwörtern - also From Markov Jump Processes to Spatial Queues, L. Breuer, Sachbuch und Statistics, Mathematics, System theory, Computer Communication Networks, Distribution (Probability theory), Probability Theory and Stochastic Processes, Statistics, general, Control Systems Theory, Mathematical Modeling and Industrial Mathematics - ist der Datensatz sowohl für Suchmaschinen als auch für Nutzerinnen und Nutzer sehr gut interpretierbar. Zusätzliche Präzision entsteht durch Identifikatoren wie 9401002398, 9789401002394 und OL19851391W, die die Ausgabe in verschiedenen Katalog- und Suchkontexten eindeutig referenzierbar machen.

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