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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.
Determine feasible space for x1-x2= 8
explain characteristic of operation of research.
the dual form of the following lpp min z=3x1+2.5x2 constraints:2x1+4x2>=40, 3x1+2x2>=50 and x1,x2>=0
what are the limitations of north west corner method
Small Sample The central limit theorem does not work well with small samples even if the population in non Gaussian. So we cannot rely on the central limit theorem
A paper mill produces two grades of paper viz., X & Y. Because of raw material restrictions, it cannot produce more 400 tons of grade X paper & 300 tons of grade Y paper in a week.
formulate the linear programming model of the table above
Operation Research may be regarded as a tool which is utilized to increase the effectiveness of the management decisions. O R is objective supplement to the subjective feeling
In this method variables beings studied are controlled by the investigator. In other the effect of one variable is observed while other relevant variables are held constant
In the judgement phase due care must be given to define correctly the frame of references of the operation. Objectives and values, whether economic social or aesthetic shoul
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