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020 _a9783031799891
024 7 _a10.1007/978-3-031-79989-1
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aTK5105.5
_b2010 EB
100 1 _aMo, Jeonghoon
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9688378
245 1 0 _aPerformance Modeling of Communication Networks with Markov Chains
_cby Jeonghoon Mo
250 _a1st edition 2010
264 1 _aCham
_bSpringer International Publishing
_c2010
300 _a1 recurso en línea (IX, 80 páginas)
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aSynthesis Lectures on Learning Networks and Algorithms
_x2690-4314
505 0 _aPerformance Modeling -- Markov Chain Modeling -- Developing Markov Chain Performance Models -- Advanced Markov Chain Models.
520 _aThis book is an introduction to Markov chain modeling with applications to communication networks. It begins with a general introduction to performance modeling in Chapter 1 where we introduce different performance models. We then introduce basic ideas of Markov chain modeling: Markov property, discrete time Markov chain (DTMC) and continuous time Markov chain (CTMC). We also discuss how to find the steady state distributions from these Markov chains and how they can be used to compute the system performance metric. The solution methodologies include a balance equation technique, limiting probability technique, and the uniformization. We try to minimize the theoretical aspects of the Markov chain so that the book is easily accessible to readers without deep mathematical backgrounds. We then introduce how to develop a Markov chain model with simple applications: a forwarding system, a cellular system blocking, slotted ALOHA, Wi-Fi model, and multichannel based LAN model. The examples cover CTMC, DTMC, birth-death process and non birth-death process. We then introduce more difficult examples in Chapter 4, which are related to wireless LAN networks: the Bianchi model and Multi-Channel MAC model with fixed duration. These models are more advanced than those introduced in Chapter 3 because they require more advanced concepts such as renewal-reward theorem and the queueing network model. We introduce these concepts in the appendix as needed so that readers can follow them without difficulty. We hope that this textbook will be helpful to students, researchers, and network practitioners who want to understand and use mathematical modeling techniques. Table of Contents: Performance Modeling / Markov Chain Modeling / Developing Markov Chain Performance Models / Advanced Markov Chain Models.
988 _aSynthesis Collection of Technology_2010
650 7 _2embne
_9668313
_aMarkov, Procesos de
776 0 8 _iPrinted edition:
_z9783031799884
776 0 8 _iPrinted edition:
_z9783031799907
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-79989-1
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b05/2023
_dz
_eIG
_zSI