Subject Code: MA7L010  Subject Name: Queueing, Inventory and Reliability  LTP: 310  Credit:4 

Prerequisite(s): Probability and Statistics (MA5L004)  
Markov chains, Poisson process, BirthDeath 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 noMarkovianbulk 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, Multiitem Economicorderquantity (EOQ) model with storage limitation, Single and multiperiod probabilistic inventory models, Concept of justintime inventory. 

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