GATE ME
Industrial Engineering
Queuing
Previous Years Questions

## Marks 1

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 w...
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 cust...
In the notation $$(a/b/c) : (d/e/f)$$ for summarizing the characteristics of queuing situation, the letters $$‘b’$$ and $$‘d’$$ stand respectively for
The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jobs in a fixed time interval is...
Customers arrive at a ticket counter at a rate of $$50$$ per hr and tickets are issued in the order of their arrival. The average time taken for issui...
Cars arrive at a service station according to Poisson's distribution with a mean rate of $$5$$ per hour. The service time per car is exponential with ...
Little’s law is relationship between
In an $$M/M/1$$ queuing system, the number of arrivals in an interval of length $$T$$ is a Poisson random variable (i.e., the probability of there bei...
The number of customers arriving at a railway reservation counter is Poisson distributed with an arrival rate of eight customers per hour. The reserva...
Consider a single server queuing model with Poisson arrivals $$\left( {\lambda = 4/hour} \right)$$ and exponential service $$\left( {\mu = 4/hour} \... The cost of providing service in a queuing system increases with ## Marks 2 At a work station,$$5$$jobs arrive every minute. The mean time spent on each job in the work station is$$1/8$$minute. The mean steady state number... Jobs arrive at a facility at an average rate of$$5$$in an$$8$$hour shift. The arrival of the jobs follows Poisson distribution. The average servic... A maintenance service facility has Poisson arrival rates, negative exponential service time and operates on a ‘first come first served’ queue discipli... Arrivals at a telephone booth are considered to be Poisson, with an average time of$$10$$minutes between successive arrivals. The length of a phone ... In a single server infinite population queuing model, arrivals follow a Poisson distribution with mean$$\lambda = 4$$per hour. The service times ar... At a production machine, parts arrive according to a Poisson process at the rate of$$0.35$$parts per minute. Processing time for parts have exponent... On the average$$100$$customers arrive at a place each hour, and on the average the server can process$$120$$customers per hour. What is the propor... ## Marks 5 People arrive at a hotel in a Poisson distributed arrival rate of$$8 per hour. Service time distribution is closely approximated by the negative ex...
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