CH18 - P system utilization Random Arrivals Poisson...

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4/24/2008 Notes CH18 Management of Waiting Lines Queuing Theory - Mathematical approach to the analysis of waiting lines Customer waiting cost non value added for people waiting in line Place Loss of business Good will Satisfaction Single channel - single phase – one waiting line one service Single channel - Multiple phase – one waiting line many service stations Multiple channel - single phase – many waiting lines single kind of service stations Multiple channel - multiple phase – many waiting lines many kinds of service stations Customers are… - Patient – remain - Reneging – do not leave - Jockeying – no switch - Balking – join the line Lq – average length of the line Ls – average number waiting in the system Wq – how long they wait in the line (time) Ws – how long they are in the system
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Unformatted text preview: P system utilization Random Arrivals Poisson Distribution #/time Exponential Distribution Time between arrival Random service-exponential distribution Rate number per period of time Single Channel Single Phase 1. Random Arrivals, Random Service 2. Random Arrivals, Constant Service Multiple channels single phase Server cost is easy to quantify Waiting cost is hard to quantify because every ones time cost is different If the line is longer than the number of server X the maximum the server could serve, the model is useless. Therefore there is no Lq. Multiple priorities some times you could move head of the line. Only work for the selected people that do move head of the line. Finite Source Model small number of customers Rate = $ # / time...
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This note was uploaded on 09/08/2010 for the course BUS 140 at San Jose State University .

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CH18 - P system utilization Random Arrivals Poisson...

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