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Inter Arrival Times. Instead of giving a chance that someone, or something arrives in a particular time interval or not, we use the inter arrival times.

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Presentation on theme: "Inter Arrival Times. Instead of giving a chance that someone, or something arrives in a particular time interval or not, we use the inter arrival times."— Presentation transcript:

1 Inter Arrival Times

2 Instead of giving a chance that someone, or something arrives in a particular time interval or not, we use the inter arrival times or arrival intervals. Why?

3 The inter arrival time is just the time between successive arrivals. These times are simulated by random numbers.

4 Queuing Discipline This is the set of rules that determine whose turn it is to be served next. The most common discipline if FIFO. 1 Queue 1 server Customers Server 1234512345 A 1q1s

5 1 Queue 1 Server Arrival times0.511.522.5 %age1030 2010 Random No.s12,3,45,6,78,910 So when these numbers are generated it stands for the arrival time

6 CarRandomArr IntArr Time 13 25 31 410 54 66 75 83 92 Leave space for 5 more columns

7 Service times Service11.522.53 %525402010 Random No.s 12,3,4 5,6 7 to 1415 to 18 19,20

8 CarRndArr IntArr TimeRndService TStartFinishWait 131115 251.52.54 310.5319 4102.55.58 5416.58 661.5813 751.59.55 83110.512 92111.56 10 2.51415

9 Continue for another 10 cars

10 1 Queue 2 Servers Here we have 1 queue with say 2 petrol pumps. Customers 123123 Servers A B Single Q 2 Servers

11 CarRndArr IntArr Time RndSer Time StartFinishStartFinishWait 144 288 356 463 523 623 7811 855 962 105

12 CarRndArr IntArr Time RndSer Time StartFinishStartFinishWait 141141.512.5--0 28238235--0 351.54.561.5--4.560 461.563 67.5--0 521731.5--78.50 621831.589.5--0 782101121012--0 851.511.551.5--11.5130 961.51321.51314.5--0 1051.514.510214.516.5--0 Carry on for another 20 cars


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