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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.
a. Explain the method of "Taylor's Scientific Management". List the elements of Taylor's Scientific Management. b. List the necessary managerial functions of a Manager. Explain.
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the following table gives place under different states of nature Strategies States of nature s1 s2 s3 A 10000 3000 2000 B
Question : (a) (i) What do you understand by the term "operations research"? (ii) Discuss three common operations research models. (b) Self-service at the university c
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The 2 nd phase of operations Research is to construct a mathematical model representing the system under study. It requires the identification of both static and dynam
These models are used for analyzing a system which changes over a period of time among various possible outcomes or states. The models while dealing with such systems describe tra
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