1
GATE ME 2024
+1
-0.33
A queueing system has one single server workstation that admits an infinitely long queue. The rate of arrival of jobs to the queueing system follows the Poisson distribution with a mean of 5 jobs/hour. The service time of the server is exponentially distributed with a mean of 6 minutes. In steady state operation of the queueing system, the probability that the server is not busy at any point in time is

A

0.20

B

0.17

C

0.50

D

0.83

2
GATE ME 2017 Set 2
+1
-0.3
For a single server with Poisson arrival and exponential service time, the arrival rate is $$12$$ per hour. Which one of the following service rates will provide a steady state finite queue length?
A
$$6$$ per hour
B
$$10$$ per hour
C
$$12$$ per hour
D
$$24$$ per hour
3
GATE ME 2016 Set 2
Numerical
+1
-0
In a single-channel queuing model, the customer arrival rate is $$12$$ per hour and the serving rate is $$24$$ per hour. The expected time that a customer is in queue is _______ minutes.
4
GATE ME 2015 Set 3
+1
-0.3
In the notation $$(a/b/c) : (d/e/f)$$ for summarizing the characteristics of queuing situation, the letters $$‘b’$$ and $$‘d’$$ stand respectively for
A
Service time distribution and queue discipline
B
Number of servers and size of calling source
C
Number of servers and queue discipline
D
Service time distribution and maximum number allowed in system
GATE ME Subjects
EXAM MAP
Medical
NEET