The following two questions are based on this scenario. The following table ( Ta
ID: 456193 • Letter: T
Question
The following two questions are based on this scenario.
The following table (Table 1) shows the results of a mini-simulation of a waiting-line problem with five customers being processed. For this problem, assume that the simulation used 8:00 AM as the starting time and that there is only one server who is working continuously (no breaks) until all 5 customers are served.
Table 1: Waiting-line for first five customers served
Customer Number
Arrival Time
Service Time
Service Ends
1
8:06 AM
2
8:08 AM
2
8:07 AM
10
8:18 AM
3
8:17 AM
10
8:28 AM
4
8:24 AM
11
8:39 AM
5
8:30 AM
7
8:46 AM
What is the average wait time (in queue) for a customer?
Answer: [ Select ] ["1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12"] minutes/customer
What is the average time in the system for a customer?
Answer: [ Select ] ["2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12"] minutes per customer
Customer Number
Arrival Time
Service Time
Service Ends
1
8:06 AM
2
8:08 AM
2
8:07 AM
10
8:18 AM
3
8:17 AM
10
8:28 AM
4
8:24 AM
11
8:39 AM
5
8:30 AM
7
8:46 AM
Explanation / Answer
1
2
3
4
5
6
7
8
Customer Number
Arrival Time
Inter-arrival time
Service Start time
Service Time
Service Ends
Times customer spends in queue (mins)
(4-2)
Times customer spends in system (mins)
(5+7)
1
8:06 AM
0
8:06 AM
2
8:08 AM
0
2
2
8:07 AM
1
8:08 AM
10
8:18 AM
1
11
3
8:17 AM
10
8:18 AM
10
8:28 AM
1
11
4
8:24 AM
7
8:28 AM
11
8:39 AM
4
15
5
8:30 AM
6
8:39 AM
7
8:46 AM
9
16
Total
15
55
Average
3
11
Average wait time (in queue) for a customer = (0+1+1+4+9)/5 =3 mins.
Average wait time (in system) for a customer = (2+11+11+15+16)/5 =11 mins.
1
2
3
4
5
6
7
8
Customer Number
Arrival Time
Inter-arrival time
Service Start time
Service Time
Service Ends
Times customer spends in queue (mins)
(4-2)
Times customer spends in system (mins)
(5+7)
1
8:06 AM
0
8:06 AM
2
8:08 AM
0
2
2
8:07 AM
1
8:08 AM
10
8:18 AM
1
11
3
8:17 AM
10
8:18 AM
10
8:28 AM
1
11
4
8:24 AM
7
8:28 AM
11
8:39 AM
4
15
5
8:30 AM
6
8:39 AM
7
8:46 AM
9
16
Total
15
55
Average
3
11
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