Question

Question 1

A bank branch has two automatic teller machines (atms) that are
accessible at all times (even when the branch is closed).

Customers arrive at the ATMs at a rate of 30 customers per hour
with exponentially distributed interarrival times.

Each customer spends an average of 3 minutes to complete the
service, where service time is also exponential.

When the branch is open, arriving customers refuse to join the ATM
queue if it has 3 people or more waiting, and instead go to receive
service

from human tellers.

On the other hand, when the branch is closed, customers have no
choice but to join the queue regardless of its length

Q2

when the branch is open the probabilit that both ATMs are idle is
(use three decimal places )

Q3

When the branch is open, find the fraction of customers that refuse
to join the atm queue (use three decimal places )

Q4

When the branch is open, find the average queue length (use three
decimal places )

Answer #1

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wait for service. Experience has shown that customers wait in line
an average of 1 minute before service begins.
(a) Describe why this is a queueing system.
(b) Determine the basic...

. A bank has 4 tellers with different service rates, i.e.,
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Assume that there are 20 seats in the lobby, and any customer
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a. If the system is modeled as a Markov chain, what is the total
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The National Bank, like most other large banks, found that using
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0
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1
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1. Willow Brook National Bank operates a drive-up teller window
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An insurance company has one adjuster in the branch office.
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Actually a HISTORY question: what tactics does Einhard use to
portray Charlemagne in "Life of Charlemagne" and what tactics does
Procipius use to describe Justinian in a positive light in the
"Nika Riots"? Ive posted both excerpts.
"Life of Charlemagne"
Charles the Great, (Charlemagne in French) reigned 768-814 as
king of the Franks and the most important ruler of the Carolingian
Dynasty, conquering lands in what is now Germany, France, Spain,
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