A B C D E F G H I J K L M Chapter 11 Queueing Theory Q - 2: (Is it better to train or hire more employees?) [40] Consider a supermarket that has one girl running up sales at the counters. Let the time between arrivals and service time follow traingular distributions as shown below: \begin{tabular}{|l|c|c|c|l|} & a & c & b & \\ \cline { 2 - 4 } Arrival & 8 & 9 & 11 & minutes \\ \hline Service & 3 & 4 & 5 & minutes \\ \hline & & & & \\ \hline & & & & \end{tabular} [06] (i) Compute ta, va, ,ca2,ts,vs,,cs2 and for arrival and service processes. [04] (ii) Determine L, W, Lq and Wq. [10] (iii) Now suppose that you employ girls so that you have m girls at the counters, compute L,W,Lq and Wq for m=2,3,4 and 5 . [10] (iv) Try to reduce the service time of current girl through training, by shifting the distribution to the left by 0.5,1,1.5 and 2 minutes, and compute L, W, Lq and Wq. [05] (v) Look at the results from (iii) and (iv) and give your observations. [05] (vi) How can you make your decision if you include training costs and employment costs? Give an example