Problem $18-15($Algo$)$

A manager must determine requirements for waiting space for customers. A priority system is used to process customers, who are

assigned to one of two classes when they enter the processing center. The highest$-$priority class has an arrival rate of $3\mathrm{.}4$ per hour, the

other class has an arrival rate of $1\mathrm{.}8$ per hour. Both can be described as Poisson$-$clistributed. There are two servers, and each can

process customers in $15$ minutes, on average. Use Table $18\mathrm{.}4.$

a$.$ What is the system utilization? $($Round your answer to $2$ decimal places.$)$

$$

b$.$ Determine the number of customers of each class that are waiting for service. $($Round your answers to $3$ decimal places.$)$

b$.$ Determine the number of customers of each cless that are waiting for service. $($Round your answers to $3$ decimal places.$)$

c$.$ Determine the average waiting time for each class. $($Enter your answers in hours. Round your answer to $2$ decimal places.$)$

d$.$ If the manager could alter the assignment rules so that arrival rates of the two classes were both $3$ per hour, what would be the

revised average waiting time for each priority class? $($Enter your answers in hours. Round your answers to $2$ decimal places.$)$Problem $18-15($Algo$)$

A manager must determine requirements for waiting space for customers. A priority system is used to process customers, who are assigned to one of two classes when they enter the processing center. The highest$-$priority class has an arrival rate of $3\mathrm{.}4$ per hour; the other class has an arrival rate of $1\mathrm{.}8$ per hour. Both can be described as Poisson$-$distributed. There are two servers, and each can process customers in $15$ minutes, on average. Use Table $18\mathrm{.}4.$