For a (M/M/1) queueing model   steady state solution exists. 

Check whether S (0, 35/9, 20/9) 1  is an optimal solution to the primal and S (50/9, 8/9), 2  is an optimal solution to the dual without solving the problem.

What is performance Management System? Give examples. 

In a factory, the machines break down at an average rate of 10 machines per hour. Assume that the number of machines is fairly large. The idle time cost of a machine is estimated to be Rs. 20 per hour. The factory works 8 hours a day. The factory manager is considering 2 mechanics for repairing the machines. The first 4 mechanic A takes about 5 minutes on an average to repair a machine and demands wages of Rs. 10 per hour. The second mechanic B takes about 4 minutes in repairing a machine and demands wages at the rate of Rs. 15 per hour. Assuming that the rate of machine breakdown is Poisson distributed and the repair rate is exponentially distributed, which of the two mechanics should be engaged?

In your opinion, what should the role of a change leader be in facilitating the changes being brought about due to the power distribution reforms? 

Describe Variable Overhead Efficiency Variance. 

In any assignment problem, the optimal assignments are always along the main diagonal.  

A fertilizer company distributes its products by trucks loaded at its only loading
station. Both, company trucks and contractor’s trucks are used for this purpose. It
was found out that on an average every 5 minutes one truck arrived and the average
loading time was 3 minutes. 40 percent of the trucks belong to the contractors.
Making suitable assumptions, determine:
 i) The probability that a truck has to wait.
 ii) The waiting time of a truck that waits.
 iii) The expected waiting time of contractor’s trucks per day.