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Can you please do in excel 2. Customers arrive at an ATM at a rate of...

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Operations Management

Can you please do in excel

2. Customers arrive at an ATM at a rate of 75 per hour (assumethat the arrival process can bedescribed by a PoissonDistribution). The average time a customer spends at the machine(excludingwait time) is 45 seconds (assume exponential servicetime).

a) What type of queuing system is this?

b) What is the arrival rate (λ)?

c) What is the service rate (μ)?

d) What is the average amount of time that a customer will spendwaiting in line (in minutes)?

e) How long (in minutes) should a customer who is on their wayto the ATM expect to be there(i.e., from arrival at the queue untilfinishing their transaction)?

f) On average, how many customers are waiting to use theATM?

g) What is the probability that a customer will arrive at theATM and not have to wait at all?h) Assume that a second machine isadded (but customers wait in a single line), and hypothesizeon howthe line length and wait time will change. Calculate theanswer.

Answer & Explanation Solved by verified expert
3.9 Ratings (728 Votes)
a As there is 1 server or ATM and the arrival rate is a Poissonprocess and service rate is exponential process this is a MM1single model queuing systemb    See Answer
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