Discrete Event Simulation

Consider a simple gas station with a single set of pumps that can service cars are either side $($i$.$e$.,$ 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 $15$ seconds per gallon $(4$ gallons per minute or

$$ minute per gallom$)$ and credit transactions require two minutes plus $15$ seconds per gallon $($does not

include attendant time$).$

Car $0($left fueled$)$ arrives at time $1$ to purchase $16$ gallons with cash. $[1+16*(1/4)$ min$]$

Car $1($right fueled$)$ arrives at time $2$ to purchase $10$ gallon with a credit card. $[2+10*(1/4)$ min$]$

Car $2($right fueled$)$ arrives at time $4$ to purchase $12$ gallons with cash. $[1+12*(1/4)$ min$]$

Car $3($left fueled$)$ arrives at time $6$ to purchase $8$ gallons with cash. $[1+8*(1/4)$ min$]$

Car $4($left fueled$)$ arrives at time $6\mathrm{.}5$ to purchase $16$ gallons with a credit card. $[2+16*(1/4)$ min$]$

Car $5($right fueled$)$ arrives at time $8$ to purchase $10$ gallons with a credit card. $[2+10*(1/4)$ min$]$

Car $6($left fueled$)$ arrives at time $10$ to purchase $8$ gallons with cash. $[1+8*(1/4)$ min$]$

Car $7($right fueled$)$ arrives at time $12$ to purchase $16$ gallons with a credit card. $[2+16*(1/4)$ min$]$

For coincidental events, always process the event associated with the lower numbered car first.

Show the time line of the simulation showing the discrete events for each of the cars. Use a

separate sheet of graph paper.