lec0303 - IEOR 4106: Introduction to Operations Research:...

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IEOR 4106: Introduction to Operations Research: Stochastic Models Professor Whitt, Spring 2011 Class Discussion, Thursday, March 3 The class discussion is focused on Section 5 of the CTMC notes. The topic is birth-and- death processes. The focus is on models like those in Examples 5.1 and 5.2. Two enterprizing students - Webb Allen and Eliot Wycoff - have decided to earn a little (They also serve root beer and play music to entertain waiting customers.) They are thinking about adding another barber or possibly enlarging their waiting area. So they are applying their stochastic skills to analyze their current operation. waiting spaces. We assume that customers arriving when the system is full are blocked, leav- ing without receiving service or affecting future arrivals. We assume that customers arrive according to a Poisson process at rate λ = 6 per hour. We assume that the duration of each haircut is an independent exponential random variable with a mean of μ - 1 = 15 minutes. Thus the service rate of each barber is μ = 4 per hour. We assume customers are served in a first-come first-served manner by the first available barber. We also allow each waiting customer to abandon at a constant rate
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This note was uploaded on 01/16/2012 for the course IEOR 4106 taught by Professor Whitward during the Spring '11 term at Columbia College.

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lec0303 - IEOR 4106: Introduction to Operations Research:...

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