Queueing Theory apply elementary queueing theory equations to compute statistics for the various scheduling systems assume exponential inter-arrival...

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Queueing Theory
apply elementary queueing theory equations to compute statisticsfor the various scheduling systems
assume exponential inter-arrival and service timedistributions
At the South Loop Oil 'n Lube, a new customer arrives for an oilchange every 20 minutes, and is annoyed to find, on average, 3customers ahead of him (including the one being serviced).
How much longer, typically, will it take for the currentcustomer to finish his oil change?
After that, how much longer will the new customer have to waitto complete his own oil change?

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Solution This is a direct application of MM1 queue system Backup Theory An MM1 queue system is characterized by arrivals following Poisson pattern with average rate this is also the same as exponential arrival with average interarrival time 1 service time following Exponential See Answer

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