First
Semester of Academic Year 2007-2008
MA 597 Queueing Theory and Applications
Syllabus
Review of probability, random variables, distributions, generating functions;
Poisson, Markov, renewal and semi-Markov processes; Characteristics of
queueing systems, Little’s law, Markovian and non-Markovian queueing
systems, embedded Markov chain applications to M/G/1, G/M/1 and related
queueing systems; Networks of queues, open and closed queueing networks;
Queues with vacations, priority queues, queues with modulated arrival
process, discrete time queues, introduction to matrix-geometric methods,
applications in manufacturing, computer and communication networks.
Texts:
- D. Gross and C. Harris,
Fundamentals of Queueing Theory, 3rd Edition,
Wiley, 1998. (WSE Edition, 2004).
- L. Kleinrock,
Queueing Systems, Vol. 1: Theory,
Wiley, 1975.
- J. Medhi,
Stochastic Models in Queueing Theory, 2nd Edition,
Academic Press, 2003. (Elsevier India Edition, 2006).
References:
- J.A. Buzacott and J.G. Shanthikumar,
Stochastic Models of Manufacturing Systems,
Prentice Hall, 1992.
- R.B. Cooper,
Introduction to Queueing Theory, 2nd Edition,
North-Holland, 1981.
- L. Kleinrock,
Queueing Systems, Vol. 2: Computer Applications,
Wiley, 1976.
- R. Nelson,
Probability, Stochastic Processes, and Queueing Theory: The
Mathematics of Computer Performance Modelling,
Springer, 1995.
- E. Gelenbe and G. Pujolle,
Introduction to Queueing Networks, 2nd Edition,
Wiley, 1998.
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