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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.
Type of Measures of Dispersion a. Absolute Measure: The measure of dispersion which is expressed in terms of the units of the observations( e, g, Rupees , metre ,
After testing the model and its solution the next step of the study is to establish control over the solution by proper feedback of the information on variables which deviated
Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment
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
Some Guidelines for Bibliography Entries 1. Reference of a Back by One Authors : Mention authors name book title ( in italics hence to be underlined) city publication
application&techniques
CONCEPT AND NEED FOR INFORMATION: We shall look at the meaning, of information as also the meaning of other related words such as data, facts, intelligence, advice, knowledge
A DRUG MANUFACTURER produces 2 products X1 and X2.X1 needs 2 hours on machine A AND 2 HOURS ON MACHINE B.X2 needs 3 hours on machine A and 1 hour on machine B.If machine A can run
Explain why it may be advantageous to build models to help in solving a decision problem.
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