1
GATE ME 2006
MCQ (Single Correct Answer)
+1
-0.3
The number of customers arriving at a railway reservation counter is Poisson distributed with an arrival rate of eight customers per hour. The reservation clerk at this counter takes six minutes per customer on an average with an exponentially distributed service time. The average number of the customers in the queue will be.
A
$$3$$
B
$$3.2$$
C
$$4$$
D
$$4.2$$
2
GATE ME 2005
MCQ (Single Correct Answer)
+1
-0.3
Consider a single server queuing model with Poisson arrivals $$\left( {\lambda = 4/hour} \right)$$ and exponential service $$\left( {\mu = 4/hour} \right)$$. The number in the system is restricted to a maximum of $$10.$$ The probability that a person who comes in leaves without joining the queue is
A
$${1 \over {11}}$$
B
$${1 \over {10}}$$
C
$${1 \over {9}}$$
D
$${1 \over {2}}$$
3
GATE ME 1997
MCQ (Single Correct Answer)
+1
-0.3
The cost of providing service in a queuing system increases with
A
Increased mean time in the queue
B
Increased arrival rate
C
Decreased mean time in the queue
D
Decreased arrival rate
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Turbo Machinery
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Graduate Aptitude Test in Engineering
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