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512 CHAPTER 12 SIMULATION

Figure 12.10 Flowchart of the HKSB ATM Waiting Line Simulation

Initialize Simulation Model
i = 0; Arrival Time(0) = 0; Completion Time(0) = 0

New Customer
i = i + 1

Generate Interarrival Time (IAT )
Next
Customer
Arrival Time( i ) = Arrival Time( i – 1) + IAT

Is
Yes Arrival Time( i ) No
Greater Than Completion
Time( i – 1)?

ATM Idle ATM Busy
Customer i can begin service Customer i must wait for preceding
immediately. customer to complete service.
Start Time( i ) = Arrival Time( i ) Start Time( i ) = Completion Time( i – 1)

Waiting Time( i ) = Start Time( i ) – Arrival Time( i )

Generate Service Time (ST )

Completion Time( i ) = Start Time( i ) + ST

System Time( i ) = Completion Time( i ) – Arrival Time( i )

Figure 12.10 shows a flowchart that defines the sequence of logical and mathe-
matical operations required to simulate the ATM system. The flowchart uses the
following notation:

IAT ¼ Interarrival time generated
Arrival time ðiÞ¼ Time at which customer i arrives
Start time ðiÞ¼ Time at which customer i starts service
Wait time ðiÞ¼ Waiting time for customer i
ST ¼ Service time generated
Completion time ðiÞ¼ Time at which customer i completes service
System time ðiÞ¼ System time for customer i ðcompletion time arrival timeÞ

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