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Consider the closed network of the following figure. The number at the arrows give the transition probabilities for a customer leaving the queue to route to a subsequent queue. Every station contains a single server, and all arriving customers may enter the station.
Service is in order of arrival. The service times have an exponential distribution with with: m1=4, m2=3, m3=2, m4=1.
a) Give the joint stationary distribution for the number of customers in the four stations for m=1, 2, and 3 (m=total number of customers in the network).
b) Obtain using Mean Value Analyse the average number of customers and the average sojourn time in the four queues for m=1, 2 and 3.
c) Determine for m=1 the average time for a customer to return for the first time to station 1.
formulate the linear programming model of the table above
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Level of Significance In testing a given hypothesis the maximum probability with which we would be willing to take risk is called level of significance of the test.
1) Provide an overall description of the business and the competitive environment in which it operates. You should describe: a) what type of business it is (e.g. retail, manuf
main components of a linear programming
A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i
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#questioA paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y
Question: (a) (i) What do you understand by the term ‘queueing theory'? Give two real life examples to illustrate your answer. (ii) Outline the five components involved in
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