Mathematical Models of some Evolutionary Systems Under the Influence of Stochastic Factors

Hdl Handle:
http://hdl.handle.net/11285/572647
Title:
Mathematical Models of some Evolutionary Systems Under the Influence of Stochastic Factors
Authors:
Rodríguez Said, Roberto D. ( 0000-0003-0886-3997 )
Issue Date:
01/12/2007
Abstract:
As it is known, the problem of availability of information is normally addressed using a buffer. Most of the times it is required that the effectiveness or reliability of the system is calculated to optimize the amount of stored information according to the customers random requests and to the amount of incoming information from the supply line. In this thesis, we consider the case of single buffer connected to any number of customers with bursty demands. We model the variation of the level of stored information in the buffer as an evolution in a random media. We assume that the customers can be modeled as semi-Markov stochastic processes and we use the phase merging algorithm to reduce the evolution process in a semi-Markov to an approximated evolutions in a Markov media. Then we obtain a general solution to the stationary probability density of the level of the buffer and general results for the stationary efficiency of the system.
Keywords:
Comunicación; Telecomunicacioón
Degree Program:
Graduate Program in Information Technologies and Electronics
Advisors:
Dr. Ramón Martín Rodríguez Dagnino
Committee Member / Sinodal:
Dr. Anatoly A. Pogorui; Dr. Gabriel Campuzano Treviño; Dr. José Ramón Rodríguez Cruz; Dr. Jorge Carlos Mex Perera
Degree Level:
Doctor of Philosophy in Information Technologies and Communications
School:
Escuela de Electronica y Telecomunicaciones
Campus Program:
Campus Monterrey
Discipline:
Ingeniería y Ciencias Aplicadas / Engineering & Applied Sciences
Appears in Collections:
Ciencias Exactas

Full metadata record

DC FieldValue Language
dc.contributor.advisorDr. Ramón Martín Rodríguez Dagninoes
dc.contributor.authorRodríguez Said, Roberto D.es
dc.date.accessioned2015-08-17T11:37:19Zen
dc.date.available2015-08-17T11:37:19Zen
dc.date.issued01/12/2007-
dc.identifier.urihttp://hdl.handle.net/11285/572647en
dc.description.abstractAs it is known, the problem of availability of information is normally addressed using a buffer. Most of the times it is required that the effectiveness or reliability of the system is calculated to optimize the amount of stored information according to the customers random requests and to the amount of incoming information from the supply line. In this thesis, we consider the case of single buffer connected to any number of customers with bursty demands. We model the variation of the level of stored information in the buffer as an evolution in a random media. We assume that the customers can be modeled as semi-Markov stochastic processes and we use the phase merging algorithm to reduce the evolution process in a semi-Markov to an approximated evolutions in a Markov media. Then we obtain a general solution to the stationary probability density of the level of the buffer and general results for the stationary efficiency of the system.en
dc.language.isoenen
dc.rightsOpen Accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleMathematical Models of some Evolutionary Systems Under the Influence of Stochastic Factorsen
dc.typeTesis de Doctoradoes
thesis.degree.grantorInstituto Tecnológico y de Estudios Superiores de Monterreyes
thesis.degree.levelDoctor of Philosophy in Information Technologies and Communicationsen
dc.contributor.committeememberDr. Anatoly A. Pogoruies
dc.contributor.committeememberDr. Gabriel Campuzano Treviñoes
dc.contributor.committeememberDr. José Ramón Rodríguez Cruzes
dc.contributor.committeememberDr. Jorge Carlos Mex Pereraes
thesis.degree.disciplineEscuela de Electronica y Telecomunicacioneses
thesis.degree.nameGraduate Program in Information Technologies and Electronicsen
dc.subject.keywordComunicaciónes
dc.subject.keywordTelecomunicacioónes
thesis.degree.programCampus Monterreyes
dc.subject.disciplineIngeniería y Ciencias Aplicadas / Engineering & Applied Scienceses
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