From Markov Jump Processes to Spatial Queues
L. Breuer
Sold by AHA-BUCH GmbH, Einbeck, Germany
AbeBooks Seller since 14 August 2006
New - Soft cover
Condition: New
Ships from Germany to U.S.A.
Quantity: 1 available
Add to basketSold by AHA-BUCH GmbH, Einbeck, Germany
AbeBooks Seller since 14 August 2006
Condition: New
Quantity: 1 available
Add to basketDruck auf Anfrage Neuware - Printed after ordering - 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.
Seller Inventory # 9789401039628
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.
"About this title" may belong to another edition of this title.
General Terms and Conditions and Customer Information / Privacy Policy
I. General Terms and Conditions
§ 1 Basic provisions
(1) The following terms and conditions apply to all contracts that you conclude with us as a provider (AHA-BUCH GmbH) via the Internet platforms AbeBooks and/or ZVAB. Unless otherwise agreed, the inclusion of any of your own terms and conditions used by you will be objected to
(2) A consumer within the meaning of the following regulations is any natural person who concludes...
**Right of withdrawal for consumers **
(A consumer is any natural person who concludes a legal transaction for purposes that can predominantly be attributed neither to their commercial nor their independent professional activity.)
Cancellation
Withdrawal
You have the right to revoke this contract within fourteen days without giving reasons.
The revocation period is fourteen days from the day,
on which you or a third party named by you, who is not the carrier, has taken possession of the goods, provided that you have ordered one or more goods within the framework of a uniform order and these are or will be delivered uniformly;
on which you or a third party named by you, who is not the carrier, has taken possession of the last goods, provided that you have ordered several goods within the framework of a single order and these are delivered separately;
on which you or a third party named by you, who is not the carrier, has taken possession of the last partial shipment or the last piece, provided that you have ordered goods that are delivered in several partial shipments or pieces;
In order to exercise your right of withdrawal, you must inform us (AHA-BUCH GmbH, Garlebsen 48, 37574 Einbeck, telephone number: 05563 9996039, fax number: 05563 9995974, e-mail address: service@aha-buch.de) of your decision to revoke this contract by means of a clear declaration (e.B. a letter sent by post, fax or e-mail). You can use the attached model withdrawal form, but this is not mandatory.
To comply with the revocation period, it is sufficient that you send the notification of the exercise of the right of revocation before the expiry of the revocation period.
Consequences of revocation
If you withdraw from this contract, we shall reimburse you all payments that we have received from you, including delivery costs (with the exception of the additional costs resulting from the fact that you have chosen a different type of delivery than the cheapest standard delivery offered by us), immediately and at the latest within fourteen days from the day on which we received the notification of your revocation of this contract.
For this repayment, we will use the same means of payment that you used for the original transaction, unless expressly agreed otherwise with you; in no case will you be charged any fees for this repayment.
We may withhold reimbursement until we have received the goods back or until you have provided proof that you have returned the goods, whichever is the earlier.
You must return or hand over the goods to us immediately and in any case at the latest within fourteen days from the day on which you inform us of the revocation of this contract. The deadline is met if you send the goods before the expiry of the period of fourteen days.
You bear the direct costs of returning the goods.
You only have to pay for any loss of value of the goods if this loss of value is due to handling of the goods that is not necessary to check the nature, characteristics and functioning of the goods.
Reasons for exclusion or extinction
The right of revocation does not apply to contracts
The right of revocation expires prematurely in the case of contracts
Sample withdrawal form
(If you want to cancel the contract, please fill out this form and send it back.)
To AHA-BUCH GmbH, Garlebsen 48, 37574 Einbeck, fax number: 05563 9995974, e-mail address: service@aha-buch.de :
I/we () hereby revoke the contract concluded by me/us () for the purchase of the following goods ()/
the provision of the following service ()
Ordered on ()/ received on ()
Name of the consumer(s)
Address of the consumer(s)
Signature of the consumer(s) (only in case of notification on paper)
Date
(*) Delete as appropriate.
We ship your order after we received them
for articles on hand latest 24 hours,
for articles with overnight supply latest 48 hours.
In case we need to order an article from our supplier our dispatch time depends on the reception date of the articles, but the articles will be shipped on the same day.
Our goal is to send the ordered articles in the fastest, but also most efficient and secure way to our customers.
| Order quantity | 30 to 40 business days | 7 to 14 business days |
|---|---|---|
| First item | £ 53.07 | £ 61.71 |
Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.