A patrol station near Bankstown shopping centre in Western Sydney has two self-serve pumps and…

A patrol station near Bankstown shopping centre in Western Sydney has two self-serve pumps and one full-serve pump that serves only handicapped customers, which is 5% of the coming customers. Customers arrive at an average rate of 0.5 customers per minute (that is, the arrival time interval follows exponential distribution). Service times have discrete distributions as follows:

Self-serve

Full-serve

Time (minute)

Probability

Time (minute)

Probability

2.5

0.10

3.0

0.15

3.5

0.45

4.0

0.30

4.5

0.35

5.0

0.35

5.0

0.10

6.0

0.15

7.0

0.05

Each pump has a queue line. Customers will not wait if five or more cars are waiting in either line. Tasks:

  1. Draw a simulation flow diagram for this problem.
  2. Simulate this system for an eight-hour period using excel and answer the following questions:

  1. What percentage of customers is lost?
    1. How many customers are served based on your simulation?
    2. Calculate the average waiting time per customer for self-serve service and full-serve service.
  1. How might you improve this system if necessary and show evidence?

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