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For a single-server queue of 10 customers whose arrival and service time is given below in the table. Complete the below given table.   Customer Arrival Time ti Inter Arrival Time Ai=ti—ti-1   Service Begins (Sb) Delay Time (Di) Service Time (Si) Calculate Ci=ti+Di+Si 1 7:00   7:02   6   2 7:08   7:12   4   3 7:11   7:16   1   4 7:13   7:19   5   5 7:18   7:25   10   6 7:36   7:39   2   7 7:40   7:44   3   8 7:45   7:48   3   9 7:49   7:52   4   10 7:55   7:57   3     Find the average service time and average delay time. Average Service Time= Average Delay Time=

For a single-server queue of 10 customers whose arrival and service time is given below in the table. Complete the below given table.   Customer Arrival Time ti Inter Arrival Time Ai=ti—ti-1   Service Begins (Sb) Delay Time (Di) Service Time (Si) Calculate Ci=ti+Di+Si 1 7:00   7:02   6   2 7:08   7:12   4   3 7:11   7:16   1   4 7:13   7:19   5   5 7:18   7:25   10   6 7:36   7:39   2   7 7:40   7:44   3   8 7:45   7:48   3   9 7:49   7:52   4   10 7:55   7:57   3     Find the average service time and average delay time. Average Service Time= Average Delay Time=

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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Question

For a single-server queue of 10 customers whose arrival and service time is given below in the table.

  1. Complete the below given table.

 

Customer

Arrival Time ti

Inter Arrival Time

Ai=ti—ti-1

 

Service Begins

(Sb)

Delay Time (Di)

Service Time

(Si)

Calculate

Ci=ti+Di+Si

1

7:00

 

7:02

 

6

 

2

7:08

 

7:12

 

4

 

3

7:11

 

7:16

 

1

 

4

7:13

 

7:19

 

5

 

5

7:18

 

7:25

 

10

 

6

7:36

 

7:39

 

2

 

7

7:40

 

7:44

 

3

 

8

7:45

 

7:48

 

3

 

9

7:49

 

7:52

 

4

 

10

7:55

 

7:57

 

3

 

 

  1. Find the average service time and average delay time.

Average Service Time=

Average Delay Time=

For a single-server queue of 10 customers whose arrival and service time is given below in the table. a) Complete the below given table. Customer Arrival Inter Service Delay Service Time Calculate Time ti Arrival Begins (Sb) Time (Si) C=t;+D;+Si Time (D:) A:=t-t-1 1 7:00 7:02 6 2 7:08 7:12 4 3 7:11 7:16 1 4 7:13 7:19 7:18 7:25 10 6 7:36 7:39 2 7 7:40 7:44 3 7:45 7:48 3 7:49 7:52 4 10 7:55 7:57 b) Find the average service time and average delay time. Average Service Time= Average Delay Time=
Transcribed Image Text:For a single-server queue of 10 customers whose arrival and service time is given below in the table. a) Complete the below given table. Customer Arrival Inter Service Delay Service Time Calculate Time ti Arrival Begins (Sb) Time (Si) C=t;+D;+Si Time (D:) A:=t-t-1 1 7:00 7:02 6 2 7:08 7:12 4 3 7:11 7:16 1 4 7:13 7:19 7:18 7:25 10 6 7:36 7:39 2 7 7:40 7:44 3 7:45 7:48 3 7:49 7:52 4 10 7:55 7:57 b) Find the average service time and average delay time. Average Service Time= Average Delay Time=
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