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Unformatted text preview: 1 Waiting Line Theory BUAD311 Session 7 Hiroshi Ochiumi 2 Objectives Classification of waiting line systems Formula/macro for waiting line calculation 3 Classification of Waiting Lines The characteristics of a queuing system is captured by five parameters: Arrival pattern Service pattern Number of server Restriction on queue capacity The queue discipline 4 We are interested to evaluate.. Average waiting time in line and in the system The average number of orders (customers) waiting in line and in the system The utilization of server(s). 5 What are the Key Information? You are managing a local GAP store. Customers are complaining about long waits. It may be difficult to gather waiting time data. 6 Waiting Line Performance Evaluation Notation: Arrival rate: (10 cust. per hour) Average interarrival time: 1/ (1 /1 0 hr = 6 min 29 Service rate: (12 cust. per hour) Average service time: 1/ (1/12 hr = 5 min) 7 What are the Key Information? Arrival rate: Average interarrival time: m a = 1/ Standard deviation of interarrival time: S a Coefficient of variation for arrivals : C a = S a / m a Service rate: Average service time: m s = 1/ Standard deviation of service time: S s 8 Formulae S L L system in waiting customers of number Average C C L line in waiting customers of number Average S n Utilizatio q s s a S q + = + = = + 2 1 2 2 ) 1 ( 2 9 Formulae WIP = TR * TT L q = * W q 2 1 2 2 ) 1 ( 2 s a S a q C...
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This note was uploaded on 12/18/2009 for the course BUAD 311 taught by Professor Vaitsos during the Fall '07 term at USC.
 Fall '07
 Vaitsos
 Management

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