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MSO Week11 - Coggle Diagram
MSO Week11
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queueing analysis
solution to MM1 queue
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can compute L, W, Wq, Lq, all from pi and L
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note rho = lambda/miu = traffic intensity. THIS MUST BE less than 1 for you to do queue analysis. if lambda/miu = 1, the L (num of customers in system in long run) would be infinity as arrival rate approximately equal to service rate
Geometric Series summation trick, your first term, a, can actually be equal to r --> so when r^0, you still get a
if you want to solve for the other 3 statistics, you need to know lambda & miu, and you cannot just estimate L
performance metrics
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all defined for G/G/s/K queues where its for any general dist of arrivals/service rates, any num of servers and infinite capacity
tricks for computation
when one of the four stats is known, we can compute the other four
estimate L through using the steady state dist --> sum of pi ji --> sum of prob that there is x customer x customers --> avg num of customers in system in long run
homework questions
qn 6: the summation trick for the cut analysis, where even though multiple lines end up at the origin, we can break them up into its parts
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