Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/4481
Title: An analysis of some continuous time queueing systems with feedback
Researcher: Neelam Kumari
Guide(s): Garg, P C
Keywords: Queuing
Intermittent
Feedback
Server
Probability
Generating Function
Feedback Queueing Models
Upload Date: 31-Aug-2012
University: Punjabi University
Completed Date: 2011
Abstract: The entire work in this thesis is divided into six chapters. The first chapter is introductory in nature and contains fundamental concepts of queueing theory, its origin, stochastic processes, Markov processes, Description and representation of queues, Poisson process and exponential distribution, Markovian property of exponential distribution, different types of queues and work done in this thesis. The second chapter deals with the transient state probabilities for number of units in the / /1 M M feedback queueing system with intermittently available server for the two types of models. In the first model, units are served singly but in the second model these are served in batches of variable size. Steady state solution for the first model is also obtained. Special cases of interest are derived. Busy period distribution is also obtained for both the models. Numerical solutions are found for both models and thereafter various probabilities are plotted graphically. In the third chapter, we study feedback queueing system with two parallel servers having unequal service rates. Transient-state as well as steady-state probabilities of number of units in the system are obtained. Some special cases of interest are derived. Numerical solutions are also found and thereafter various probabilities are plotted graphically. The fourth chapter derives the probabilities of number of units in the system by a given time for a feedback queueing system with two special servers. Steady-state probabilities are also obtained. Some special cases of interest are discussed. Numerical solutions are also found and thereafter various probabilities are plotted graphically. Fifth chapter considers a multi-channel feedback queueing system and time dependent probabilities are found for the number of units in the system. Steady-state solution is also obtained. Special cases of interest are derived. Numerical solutions are also found and thereafter various probabilities are plotted graphically.
Pagination: 235p.
URI: http://hdl.handle.net/10603/4481
Appears in Departments:Department of Statistics

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01_title.pdfAttached File25.26 kBAdobe PDFView/Open
02_certificate.pdf12.62 kBAdobe PDFView/Open
03_declaration.pdf12.97 kBAdobe PDFView/Open
04_abstract.pdf16.54 kBAdobe PDFView/Open
05_acknowledgements.pdf18.43 kBAdobe PDFView/Open
06_preface.pdf15.69 kBAdobe PDFView/Open
07_contents.pdf14.52 kBAdobe PDFView/Open
08_symbols and references.pdf23.23 kBAdobe PDFView/Open
09_chapter 1.pdf145.39 kBAdobe PDFView/Open
10_chapter 2.pdf2.19 MBAdobe PDFView/Open
11_chapter 3.pdf943.14 kBAdobe PDFView/Open
12_chapter 4.pdf1.14 MBAdobe PDFView/Open
13_chapter 5.pdf886.25 kBAdobe PDFView/Open
14_chapter 6.pdf1.24 MBAdobe PDFView/Open
15_bibliography.pdf68.92 kBAdobe PDFView/Open


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