Consider a popular coffee chain that has decided to introduce warm sandwiches and pastries to its menu. The current system can be described as follows. Customers join a FCFS queue to place their order and then proceed to the next counter to collect their completed order. Coffee customers can be divided into two types:
1) Those that order a Regular Coffee. These customers have an arrival pattern that follows an exponential distribution with a mean of 2 minutes and the processing time for their order follows a uniform distribution with parameter values equal to 0.5 and 1 minute.
2) Those that order a Specialty Coffee. Their arrival pattern follows an exponential distribution with a mean of 4 minutes and the processing time for their order follows a triangular distribution with parameter values equal to 2, 3, and 4 minutes.
Sample Solution