Subject Code: MA7L010 Subject Name:  Queueing, Inventory and Reliability L-T-P: 3-1-0 Credit:4
Pre-requisite(s): Probability and Statistics (MA5L004)
Markov chains, Poisson process, Birth-Death process, Simple Markovian queueing models: M/M/1, M/M/1/N, M/M/C, transient behaviour of M/M/1 and M/M/1/N queue. Models with general arrival or service: M/G/1, GI/M/1. Concept bulk queues, Some Markovian and no-Markovianbulk arrival or bulk service queueing models: M[X]/M/1, M/M[Y]/1, M/M(a,b)/1, M[X]/G/1, GI[X]/M/1, M/G(a,b)/1, GI/M(a,b)/1 etc. models.
Network of Markovian queues.General concept of discrete time queues, system reliability, Reliability of Systems of Independent Components, Markovian models in reliability theory, Life testing using the exponential and Weibull models. Expected System Lifetime, Bounds on the expected system lifetime, Systems with Repair
Elementary inventory models, Deterministic and Stochastic models, Inventory models with price breaks, Multi-item Economic-order-quantity (EOQ) model with storage limitation, Single- and multi-period probabilistic inventory models, Concept of just-in-time inventory.
Text/ Reference Books:
  1. Gross D.  and Harris C. M. Fundamentals of Queueing Theory, Wiley-India
  2. Ross S. M. Introduction to Probability Models, Academic Press
  3. Taha H. A. Operations Research: An Introduction,  Pearson/Prentice Hall