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SSC-JE ME || Industrial Engineering 6
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Question 1
In single server queuing model if arrival rate is λ and service rate is μ, then the probability of the system for which the system being idle, is
Question 2
A shopkeeper serve 5 customer/hour and remain idle during 30% of time. The average waiting time of customer in the system is ____ minutes.
Question 3
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.
Question 4
The number of cars arriving at a car service centre is 5 cars per hour and single channel service provider takes 10 minutes/car, then the utilization of system in percentage will be
Question 5
In a single server queuing system with arrival rate of ‘λ’ and mean service time of ‘μ’ the expected waiting time per customer in the system is 
What is the expected number of customers in system?
What is the expected number of customers in system?
Question 6
The probability distribution for arrival pattern in queuing model (E/M/1): (SIRO/N/∞) will be
Question 7
Match the following
Question 8
Cars in a Drive-Thru of a food outlet arrive according to Poisson’s distribution at a rate of 15 Cars per hour. The staff at the counter takes 3 minutes per car on an average with an exponential distribution. The mean waiting time of queue in minutes is
Question 9
A single bay car wash with a Poisson arrival rate and exponential service time has cars arriving at an average rate of 10 min apart and an average service time of 4 min. What is the system utilization factor?
Question 10
Average length of a queue (number of persons waiting in the queue excluding the person being served) in a single server queue with Poisson arrival and exponential service time with ρ as traffic density is
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