Course Solutions Uncategorized (Solved) : 06 10 Marks Explain Following Concepts Notation Queueing Theory M M 1 Queue Ii Little S La Q28286570 . . . .

(Solved) : 06 10 Marks Explain Following Concepts Notation Queueing Theory M M 1 Queue Ii Little S La Q28286570 . . . .

 

06. (10 marks) a) Explain the following concepts and notation in queueing theory: i) M/M/1 queue ii) Littles Law iii) Utilisation of the server iv) Sojourn time of a customer (4 marks) b) Which of the following M/M/1 queues will have an equilibrium and in each case give an explanation i) Server has a service rate of 2 customers/minute and the arrival rate is 3 customers/minute ii) Mean service time is 2 minutes and the mean interarrival time is 3 minutes iii) Server has service rate of 2 customers/minute and the mean interarrival time is 3 minutes (3 marks) c) In the cases from b) above which have an equilibrium i) Find the average server utilisationu ii) Determine the mean queue length (including the customer in service) ii) Use Littles law to in the queue in minutes. (3 marks)

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