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Question:
(a) Discuss briefly the four basic components of any queueing system.
(b) Explain what you understand by the following models:
(i) (M| M | 1 : N | FCFS)
(ii) (M| M | S : ∞| SIRO)
(iii) (M| Ek | 1 : ∞ | FCFS)
(c) A supermarket has two ladies at the sales counters. Given that the service for each customer is exponential with mean 6 minutes and customers arrive in a Poisson fashion at the counter at the rate of 15 per hour, Determine
(i) the expected percentage of idle time for each lady at the sales counter.
(ii) The probability of having to wait for service.
Model building is the essence of the operations research approach? Discuss.
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 ,
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
The scientific methods is thus based on certain basic postulate which can be stated as under: a. It relies on empirical evidence: b. It utilizes relevant concepts;
Consider the following network where the value on each arc represents the capacity of that arc. Use the augmenting path algorithm to find the value of the maximum flow from node 1
Formulation of convert to primal method to dual in lpp
Problems based on LPP when feasible region is a line segment or it does not exist. 1. Maximize z = 2x+3y subject to the constraints X + y ≤ 1 X + y ≥ 3 X, y ≥ 0
During busy times, 60 potential customers per hour arrive at the booth (assume a Poisson distribution). A booth worker takes 5 minutes, on average, to meet the information needs of
characteristics of operational research model
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
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