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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 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
meaning,significance of operations research in bussiness management?
These models are applied to the management ( planning controlling and scheduling ) of large scale projects. PERT/ CPM techniques help in identifying potential trouble spots in
Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0
Tied Ranks Equal or Repeated Rank When two or more items have equal values it is difficult to give ranks to them. In that case the items are given the average of the
Operations research is used by manager in making business decisions. What are five each of its merit and demerit that the users need to be aware of?
discuss applications and scope of operations research in diverse areas.
Question 1 Explain any five accessory industries Question 2 Explain the history of boots and shoes Question 3 Write short notes on following- Types of Gujarati emb
Dual formulation is done for a number of reasons. The solution to a Dual problem provides all essential information about the solution to the Primal problem. A so
Characteristics a. Discrete Distribution: Like binomial distribution it is also a discrete probability i e, occurrences can be described by a random variable. b.
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