Question: Compute the parameter values that would be of interest in a queueing system, such as utilization, waiting time, and number in system. Use the information

Compute the parameter values that would be of interest in a queueing system, such as utilization, waiting time, and number in system.

Use the information provided in the queueing network diagram below to compute the answers the questions below, similar to what we covered in class. Assume the system in steady-state. Additionally, assume that each note (A,B,C,D) represents a single-server queueing system (M/M/1).

= 30/hr A = 40/hr 0.3 0.5 0.2 B = 15/hr C

What is the probability no one is at node A?

What is the expected waiting time in queue, in minutes, at node A?

What is the expected total number of entities at node A?

What is the utilization (decimal form) at node B?

What is the expected total time spent, in hours, at node B?

What is the service rate (mu) at node C? (use entities per hour)

What is the expected total number of entities in the system (all nodes)?

What is the expected total time in the system, in minutes?

= 30/hr A = 40/hr 0.3 0.5 0.2 B = 15/hr C STc~ expo(2.609) min D STD - expo(8.571) min

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