# 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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