Waiting Line and Process Analysis .

Waiting Line: Both the arrival and processing times follow the exponential distribution.

Part A: Waiting Line

Customers arrive at a station at a rate of 12 customers/hour. The processing rate is 8 customers/hour. Can 1 station serve all customers? Do you need to have more than 1 station? Why?

PART B: Waiting Line (9 points)

Customers arrive at a server with a rate of 6 customers/hour. The processing rate is 8 customers/hour. Can 1 server handle all customers? Do you need to have more than 1 server? Why?

Calculate the utilization of the server, Cw, Cs, Tw, and Ts

PART C: Process analysis/Theory of Constraints (TOC)/Synchronous Operations.

Suppose a company (system) has 4 departments:

A B C D

Capacity: A = 23 units/hr.; B = 17 units/hr.; C = 20 units/hr.; D = 25 units/hr.

Which department is the constraint?

What is the system output in units/hour?

If you would like to increase the system output, which department is the focus of your improvement effort?

After you increase the capacity of the constraint as high as possible, which department is the new constraint? What is the new system output in units/hour?