GATE ME

Queuing

Industrial Engineering

(Past Years Questions)

Marks 1

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For a single server with Poisson arrival and exponential service time, the arrival rate is $$12$$ per hour. Which one of...
GATE ME 2017 Set 2
In a single-channel queuing model, the customer arrival rate is $$12$$ per hour and the serving rate is $$24$$ per hour....
GATE ME 2016 Set 2
In the notation $$(a/b/c) : (d/e/f)$$ for summarizing the characteristics of queuing situation, the letters $$‘b’$$ and ...
GATE ME 2015 Set 3
The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jo...
GATE ME 2014 Set 1
Customers arrive at a ticket counter at a rate of $$50$$ per hr and tickets are issued in the order of their arrival. Th...
GATE ME 2013
Cars arrive at a service station according to Poisson's distribution with a mean rate of $$5$$ per hour. The service tim...
GATE ME 2011
Little’s law is relationship between
GATE ME 2010
In an $$M/M/1$$ queuing system, the number of arrivals in an interval of length $$T$$ is a Poisson random variable (i.e....
GATE ME 2008
The number of customers arriving at a railway reservation counter is Poisson distributed with an arrival rate of eight c...
GATE ME 2006
Consider a single server queuing model with Poisson arrivals $$\left( {\lambda = 4/hour} \right)$$ and exponential serv...
GATE ME 2005
The cost of providing service in a queuing system increases with
GATE ME 1997

Marks 2

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At a work station, $$5$$ jobs arrive every minute. The mean time spent on each job in the work station is $$1/8$$ minute...
GATE ME 2014 Set 4
Jobs arrive at a facility at an average rate of $$5$$ in an $$8$$ hour shift. The arrival of the jobs follows Poisson di...
GATE ME 2014 Set 1
A maintenance service facility has Poisson arrival rates, negative exponential service time and operates on a ‘first com...
GATE ME 2004
Arrivals at a telephone booth are considered to be Poisson, with an average time of $$10$$ minutes between successive ar...
GATE ME 2002
In a single server infinite population queuing model, arrivals follow a Poisson distribution with mean $$\lambda = 4$$ ...
GATE ME 2000
At a production machine, parts arrive according to a Poisson process at the rate of $$0.35$$ parts per minute. Processin...
GATE ME 1999
On the average $$100$$ customers arrive at a place each hour, and on the average the server can process $$120$$ customer...
GATE ME 1995

Marks 5

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People arrive at a hotel in a Poisson distributed arrival rate of $$8$$ per hour. Service time distribution is closely a...
GATE ME 1997

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