Problem 18-14 (Algo)

Customers arriving at a service center are assigned to one of three categories, with category 1 given the highest priority. Records indicate that an average of 9.3 customers arrive per hour and that one-third are assigned to each category. There are two servers, and each can process customers at the rate of 6.2 per hour. Arrival and service rates can be described by Poisson distributions. Use Table 18.4. a. What is the utilization rate for this system? (Round your answer to 2 decimal places.)

b. Determine the average waiting time for units in each class. (Round your intermediate calculations and final answers to 2 decimal places.)

c. Find the average number of customers in each class that are waiting for service. (Round your intermediate calculations and final answers to 2 decimal places.)

\begin{tabular}{ll|} \hline & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|} \hline \multicolumn{2}{|c|}{} \\ \hlineW1 & & hour \\ \hlineW2 & & hour \\ \hlineW3 & & hour \\ \hline \end{tabular} \begin{tabular}{|l|l|} \hline \\ \hlineL1 & \\ \hlineL2 & \\ \hlineL3 & \\ \hline \end{tabular} \begin{tabular}{ll|} \hline & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|} \hline \multicolumn{2}{|c|}{} \\ \hlineW1 & & hour \\ \hlineW2 & & hour \\ \hlineW3 & & hour \\ \hline \end{tabular} \begin{tabular}{|l|l|} \hline \\ \hlineL1 & \\ \hlineL2 & \\ \hlineL3 & \\ \hline \end{tabular}