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Discrete Event Simulation Consider a simple gas station with a single set of pumps that can service cars are either side ( i . e
Discrete Event Simulation
Consider a simple gas station with a single set of pumps that can service cars are either side ie right
side fueled and left side fueled at the same time.
Cars queue up on the right or left of the pumps based on whether they are fueled from the right or the
left. The transaction is either cash or credit. There is a single attendant for all cash transactions, which
must be prepaid. Specifically for cash transactions, the car pulls up to the pump before going to pay
and only pumps gas after paying. The cash transaction with the attendant requires two minutes. No
interaction is required for credit transactions.
At the pump, cash transactions require one minute plus seconds per gallon gallons per minute or
minute per gallom and credit transactions require two minutes plus seconds per gallon does not
include attendant time
Car left fueled arrives at time to purchase gallons with cash. min
Car right fueled arrives at time to purchase gallon with a credit card. min
Car right fueled arrives at time to purchase gallons with cash. min
Car left fueled arrives at time to purchase gallons with cash. min
Car left fueled arrives at time to purchase gallons with a credit card. min
Car right fueled arrives at time to purchase gallons with a credit card. min
Car left fueled arrives at time to purchase gallons with cash. min
Car right fueled arrives at time to purchase gallons with a credit card. min
For coincidental events, always process the event associated with the lower numbered car first
Answer these questions:
Show the time line of the simulation showing the discrete events for each of the cars. Use a
separate sheet of graph paper.
What is the maximum queue length for each queue remember there are three two pumps and
the attendant What is the maximum total number of cars queued at any one time.
What is the average customer total wait time?
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