Jabarali Abdul | Manonmaniam Sundaranar University (original) (raw)
Papers by Jabarali Abdul
Queue is a waiting line phenomenon. The server may take the vacation due to breakdown or other re... more Queue is a waiting line phenomenon. The server may take the vacation due to breakdown or other reasons. If the server is on vacation, there is a situation the customers have to wait for service during that period. The generalization of the classical vacation model is considered as the server which gives the service at different rate rather than completely stopping the service during the vacation period. This paper deals with the estimation of the parameters in M/M/1 queue during working vacations period. The maximum likelihood estimation procedure is applied to obtain the estimation of the model parameters and also the performance measure of queueing system had been discussed. Finally computational results are presented for the queueing model. Keywords: M/M/1 queue, vacation model, working vacations, maximum likelihood estimation, performance measures.
Applied Mathematical Sciences, 2015
According to Paxson & Floyd[8], the regular assumption of the exponential times of the inter-arri... more According to Paxson & Floyd[8], the regular assumption of the exponential times of the inter-arrival time and service time are vanished when heavy tailed scenaro. Consider the single server queue with multiple working vacation and the regular service time which follows Gumbel distribution. This paper exhibits the estimation of the parameters of queueing model under Bayesian procedure based on gibbs sampling algorithm through Markov Chain Monte Carlo(MCMC) technique. The performances of the empirical estimates of the model parameters and traffic intensity are discussed.
In this paper concerned with the study of queueing model for teletraffic. In teletraffic data are... more In this paper concerned with the study of queueing model for teletraffic. In teletraffic data are related to internet and other complex
telecommunications systems. They include packet sizes, inter-arrival times, download times and transmission times, among others. Such
times are follows to Gumbel distribution. The limiting distribution, expected waiting time and expected busy period time are derived by
using embedded Markov chain technique. Finally the computational performances are carried out for this model.
Keywords: M/G/1 queue, Gumbel distribution, embedded Markov chain, teletraffic data.
This paper exhibits the estimation of the parameters of queueing model with multiple working vaca... more This paper exhibits the estimation of the parameters of queueing model with multiple working vacation period under regular service time which follows Gumbel distribution. Bayesian procedure is applied to obtain the estimation of the model parameters with the use of informative and non-informative prior knowledges and the traffic intensity of queueing model is also obtained. Here, the Bayesian estimation is carried out numerically and graphically with the help of simulation technique based on Markov Chain Monte Carlo(MCMC).
Queue is a waiting line phenomenon. The server may take the vacation due to breakdown or other re... more Queue is a waiting line phenomenon. The server may take the vacation due to breakdown or other reasons. If the server is on vacation, there is a situation the customers have to wait for service during that period. The generalization of the classical vacation model is considered as the server which gives the service at different rate rather than completely stopping the service during the vacation period. This paper deals with the estimation of the parameters in M/M/1 queue during working vacations period. The maximum likelihood estimation procedure is applied to obtain the estimation of the model parameters and also the performance measure of queueing system had been discussed. Finally computational results are presented for the queueing model.
Keywords: M/M/1 queue, vacation model, working vacations, maximum likelihood estimation, performance measures.
... Stochastic Networks and Reversibility, by Frank Kelly, Applied Probability and Queues, by Sor... more ... Stochastic Networks and Reversibility, by Frank Kelly, Applied Probability and Queues, by Soren Asmussen and Stochastic Modeling and the Theory of Queues ... present book grew out of the authors' Lecture Notes Palm Probabil-ities and Stationary Queueing Systems (1987). ...
Probability, Statistics, and Queueing Theory with Computer Science Applications Second Edition ..... more Probability, Statistics, and Queueing Theory with Computer Science Applications Second Edition ... Probability, Statistics, and Queueing Theory with Computer Science Applications Second Edition Arnold 0. Allen 1 his textbook on applied probability and sta-tistics with computer ...
Praise for the Third Edition" This is one of the best books available. Its excellent organiz... more Praise for the Third Edition" This is one of the best books available. Its excellent organizational structure allows quick reference to specific models and its clear presentation... solidifies the understanding of the concepts being presented."—IIE ...
This updated and expanded edition of Fundamentals of Queueing Theory presents the analytic modeli... more This updated and expanded edition of Fundamentals of Queueing Theory presents the analytic modeling of queues in a very accessible style using up-to-date examples. Though the detailed coverage of the fundamentals of analytic modeling remains virtually the same, ...
aircraft applied arrival occurs arrival rate assume average number average waiting batch birth-de... more aircraft applied arrival occurs arrival rate assume average number average waiting batch birth-death birth-death process busy period calls Chap chapter coefficient compute congestion constant delay denote derivative determined Dirac delta function equilibrium ...
... SERIES TITLE: YEAR: 1982. PUB TYPE: Book (ISBN 0412245000 ). VOLUME/EDITION: 2nd edition. PAG... more ... SERIES TITLE: YEAR: 1982. PUB TYPE: Book (ISBN 0412245000 ). VOLUME/EDITION: 2nd edition. PAGES (INTRO/BODY): xvi, 303 p. SUBJECT(S): Queuing theory. DISCIPLINE: No discipline assigned. LC NUMBER: T57.9 .N48 1982. HTTP: LANGUAGE: English. ...
Abstract Presents and develops methods from queueing theory in mathematical language and in suffi... more Abstract Presents and develops methods from queueing theory in mathematical language and in sufficient depth so that the student may apply the methods to many modern engineering problems and conduct creative research. Step-by-step development of results ...
... SERIES TITLE: YEAR: 1996. PUB TYPE: Book (ISBN 0340662395 ). VOLUME/EDITION: PAGES (INTRO/BOD... more ... SERIES TITLE: YEAR: 1996. PUB TYPE: Book (ISBN 0340662395 ). VOLUME/EDITION: PAGES (INTRO/BODY): vii, 205 p. SUBJECT(S): Queuing theory. DISCIPLINE: No discipline assigned. LC NUMBER: QA274.8 .B86 1996. HTTP: LANGUAGE: English. ...
This is a graduate level textbook that covers the fundamental topics in queuing theory. The book ... more This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-...
Queue is a waiting line phenomenon. The server may take the vacation due to breakdown or other re... more Queue is a waiting line phenomenon. The server may take the vacation due to breakdown or other reasons. If the server is on vacation, there is a situation the customers have to wait for service during that period. The generalization of the classical vacation model is considered as the server which gives the service at different rate rather than completely stopping the service during the vacation period. This paper deals with the estimation of the parameters in M/M/1 queue during working vacations period. The maximum likelihood estimation procedure is applied to obtain the estimation of the model parameters and also the performance measure of queueing system had been discussed. Finally computational results are presented for the queueing model. Keywords: M/M/1 queue, vacation model, working vacations, maximum likelihood estimation, performance measures.
Applied Mathematical Sciences, 2015
According to Paxson & Floyd[8], the regular assumption of the exponential times of the inter-arri... more According to Paxson & Floyd[8], the regular assumption of the exponential times of the inter-arrival time and service time are vanished when heavy tailed scenaro. Consider the single server queue with multiple working vacation and the regular service time which follows Gumbel distribution. This paper exhibits the estimation of the parameters of queueing model under Bayesian procedure based on gibbs sampling algorithm through Markov Chain Monte Carlo(MCMC) technique. The performances of the empirical estimates of the model parameters and traffic intensity are discussed.
In this paper concerned with the study of queueing model for teletraffic. In teletraffic data are... more In this paper concerned with the study of queueing model for teletraffic. In teletraffic data are related to internet and other complex
telecommunications systems. They include packet sizes, inter-arrival times, download times and transmission times, among others. Such
times are follows to Gumbel distribution. The limiting distribution, expected waiting time and expected busy period time are derived by
using embedded Markov chain technique. Finally the computational performances are carried out for this model.
Keywords: M/G/1 queue, Gumbel distribution, embedded Markov chain, teletraffic data.
This paper exhibits the estimation of the parameters of queueing model with multiple working vaca... more This paper exhibits the estimation of the parameters of queueing model with multiple working vacation period under regular service time which follows Gumbel distribution. Bayesian procedure is applied to obtain the estimation of the model parameters with the use of informative and non-informative prior knowledges and the traffic intensity of queueing model is also obtained. Here, the Bayesian estimation is carried out numerically and graphically with the help of simulation technique based on Markov Chain Monte Carlo(MCMC).
Queue is a waiting line phenomenon. The server may take the vacation due to breakdown or other re... more Queue is a waiting line phenomenon. The server may take the vacation due to breakdown or other reasons. If the server is on vacation, there is a situation the customers have to wait for service during that period. The generalization of the classical vacation model is considered as the server which gives the service at different rate rather than completely stopping the service during the vacation period. This paper deals with the estimation of the parameters in M/M/1 queue during working vacations period. The maximum likelihood estimation procedure is applied to obtain the estimation of the model parameters and also the performance measure of queueing system had been discussed. Finally computational results are presented for the queueing model.
Keywords: M/M/1 queue, vacation model, working vacations, maximum likelihood estimation, performance measures.
... Stochastic Networks and Reversibility, by Frank Kelly, Applied Probability and Queues, by Sor... more ... Stochastic Networks and Reversibility, by Frank Kelly, Applied Probability and Queues, by Soren Asmussen and Stochastic Modeling and the Theory of Queues ... present book grew out of the authors' Lecture Notes Palm Probabil-ities and Stationary Queueing Systems (1987). ...
Probability, Statistics, and Queueing Theory with Computer Science Applications Second Edition ..... more Probability, Statistics, and Queueing Theory with Computer Science Applications Second Edition ... Probability, Statistics, and Queueing Theory with Computer Science Applications Second Edition Arnold 0. Allen 1 his textbook on applied probability and sta-tistics with computer ...
Praise for the Third Edition" This is one of the best books available. Its excellent organiz... more Praise for the Third Edition" This is one of the best books available. Its excellent organizational structure allows quick reference to specific models and its clear presentation... solidifies the understanding of the concepts being presented."—IIE ...
This updated and expanded edition of Fundamentals of Queueing Theory presents the analytic modeli... more This updated and expanded edition of Fundamentals of Queueing Theory presents the analytic modeling of queues in a very accessible style using up-to-date examples. Though the detailed coverage of the fundamentals of analytic modeling remains virtually the same, ...
aircraft applied arrival occurs arrival rate assume average number average waiting batch birth-de... more aircraft applied arrival occurs arrival rate assume average number average waiting batch birth-death birth-death process busy period calls Chap chapter coefficient compute congestion constant delay denote derivative determined Dirac delta function equilibrium ...
... SERIES TITLE: YEAR: 1982. PUB TYPE: Book (ISBN 0412245000 ). VOLUME/EDITION: 2nd edition. PAG... more ... SERIES TITLE: YEAR: 1982. PUB TYPE: Book (ISBN 0412245000 ). VOLUME/EDITION: 2nd edition. PAGES (INTRO/BODY): xvi, 303 p. SUBJECT(S): Queuing theory. DISCIPLINE: No discipline assigned. LC NUMBER: T57.9 .N48 1982. HTTP: LANGUAGE: English. ...
Abstract Presents and develops methods from queueing theory in mathematical language and in suffi... more Abstract Presents and develops methods from queueing theory in mathematical language and in sufficient depth so that the student may apply the methods to many modern engineering problems and conduct creative research. Step-by-step development of results ...
... SERIES TITLE: YEAR: 1996. PUB TYPE: Book (ISBN 0340662395 ). VOLUME/EDITION: PAGES (INTRO/BOD... more ... SERIES TITLE: YEAR: 1996. PUB TYPE: Book (ISBN 0340662395 ). VOLUME/EDITION: PAGES (INTRO/BODY): vii, 205 p. SUBJECT(S): Queuing theory. DISCIPLINE: No discipline assigned. LC NUMBER: QA274.8 .B86 1996. HTTP: LANGUAGE: English. ...
This is a graduate level textbook that covers the fundamental topics in queuing theory. The book ... more This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-...