University center has two main computers of equivalent capacity. Computing jobs arriving at the center have been found to have a mean exponentially distributed execution time of 3 minutes. The jobs arrive to the computers with a poisson mean arrival rate of 15 jobs per hour. Determine the service rate of the jobs in hours
University center has two main computers of equivalent capacity. Computing jobs arriving at the center have been found to have a mean exponentially distributed execution time of 3 minutes. The jobs arrive to the computers with a poisson mean arrival rate of 15 jobs per hour. Determine the service rate of the jobs in hours
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
University center has two main computers of equivalent capacity. Computing jobs arriving at the center have been found to have a mean exponentially distributed execution time of 3 minutes. The jobs arrive to the computers with a poisson mean arrival rate of 15 jobs per hour.
- Determine the service rate of the jobs in hours
2. Determine the interarrival and service times for the first five jobs using the first five random numbers in column 1 of table A.1
Table in the image
![Table A.1. RANDOM DIGITS
94737
08225
35614
13296
24826
89326
11634
88319
05595
99986
58701
57365
74759
87259
85982
74863
68558
53496
07471
94834 99057
06391
50248
63856
66612
14016
54714
18527
96908
30258
86689
52146
61674
51730 03500
46783
05704
61934
67566
55832
31635
30712
58582
23172
21012
69607
24145
27282
56680
43886
94107
86477
05317
37792
01488
30445
04743
33456
42822
34029
28111
09603
09757
23973
41967
21425
73847
38244
64930
50918
65366
11108
66248
51453
44834
51217
26204
45390
54786
86043
04940
97697
55441
61130
50807
97714
03462
61157
15016
85665
92168
36463
82530
07331
19271
86999
00546
87084
99708
96499
03337
12765
20926
25282
39119
46455
54590
04210
44111
41583
75377
46439
40173
41415
47097
80400
78780
44484
45935
57753
81421
09890
45972
13863
03694
60170
58457
55360
94554
88239
91624
00022
40471
78462
96265
31567
53597
24759
10709
37025
08490
47266
73544
21747
11449
72573
72496
40531
30961
77755
12282
97033
59554
13676
07821
50391
02917 95878
31177
09056
19922
69314
74587
60906
13160
80731
80164
26179
36108
16039
82697
35712
01518
73227
29923
02570
73689
26342
49137
13482
29602
29464
94661
99219
87724
82109
62191
20308
03898
70607
01610
19856
79337
82072
85199
13103
94135
88187
55064
63099
03126
90527
39578
40494. 49069
47312
59578
87926
85039
66070
34092
19212
34334
59160
74636
83537
45095
43152
54414
86576
21756
40851
64783
38480
53503
10930
12715
27685
78166
82521
94672
56406
07912
70023
79261
26153
12570
10531
47564
63142
77869
88937
16480
94466
43972
31388
70803
27734
94264
76735
22254
67518
18784
67177
63966
33203
67726
07516
57805
77009
46509
08682
17696
47554
92600
59869
66320
45979
55572
17245
43070
36917
22671
00152
81326
89428
02850
44335
05762
16368
57659
23790
79424
55043
57604
60370
82922
80812
02312
64303
86823
87225
47118
05573
70650
24909
75117
91080
90035
89393
03919
46724
31106
78804
17470
56117
25900
06707
22558
61281
16108
20286
14025
38391
12183
74541
75808
31285
26809
75522
89669
87680
72758
95663
60851
57518
55292
88326
98145
82919
01850
77258
15687
68631
72550
42986
01159
01786
31388
17190
00466
99360
07161
92362
99745
97810
21979
48767
41319
03121
14497
75739
20046
98082
28013
69264
88068
98745
35886
90230.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52477c1a-5eb4-4353-b81a-7eb697c771f5%2F88e2d0e7-4297-42c1-ac41-b8fa807e66b0%2Fji2rds_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Table A.1. RANDOM DIGITS
94737
08225
35614
13296
24826
89326
11634
88319
05595
99986
58701
57365
74759
87259
85982
74863
68558
53496
07471
94834 99057
06391
50248
63856
66612
14016
54714
18527
96908
30258
86689
52146
61674
51730 03500
46783
05704
61934
67566
55832
31635
30712
58582
23172
21012
69607
24145
27282
56680
43886
94107
86477
05317
37792
01488
30445
04743
33456
42822
34029
28111
09603
09757
23973
41967
21425
73847
38244
64930
50918
65366
11108
66248
51453
44834
51217
26204
45390
54786
86043
04940
97697
55441
61130
50807
97714
03462
61157
15016
85665
92168
36463
82530
07331
19271
86999
00546
87084
99708
96499
03337
12765
20926
25282
39119
46455
54590
04210
44111
41583
75377
46439
40173
41415
47097
80400
78780
44484
45935
57753
81421
09890
45972
13863
03694
60170
58457
55360
94554
88239
91624
00022
40471
78462
96265
31567
53597
24759
10709
37025
08490
47266
73544
21747
11449
72573
72496
40531
30961
77755
12282
97033
59554
13676
07821
50391
02917 95878
31177
09056
19922
69314
74587
60906
13160
80731
80164
26179
36108
16039
82697
35712
01518
73227
29923
02570
73689
26342
49137
13482
29602
29464
94661
99219
87724
82109
62191
20308
03898
70607
01610
19856
79337
82072
85199
13103
94135
88187
55064
63099
03126
90527
39578
40494. 49069
47312
59578
87926
85039
66070
34092
19212
34334
59160
74636
83537
45095
43152
54414
86576
21756
40851
64783
38480
53503
10930
12715
27685
78166
82521
94672
56406
07912
70023
79261
26153
12570
10531
47564
63142
77869
88937
16480
94466
43972
31388
70803
27734
94264
76735
22254
67518
18784
67177
63966
33203
67726
07516
57805
77009
46509
08682
17696
47554
92600
59869
66320
45979
55572
17245
43070
36917
22671
00152
81326
89428
02850
44335
05762
16368
57659
23790
79424
55043
57604
60370
82922
80812
02312
64303
86823
87225
47118
05573
70650
24909
75117
91080
90035
89393
03919
46724
31106
78804
17470
56117
25900
06707
22558
61281
16108
20286
14025
38391
12183
74541
75808
31285
26809
75522
89669
87680
72758
95663
60851
57518
55292
88326
98145
82919
01850
77258
15687
68631
72550
42986
01159
01786
31388
17190
00466
99360
07161
92362
99745
97810
21979
48767
41319
03121
14497
75739
20046
98082
28013
69264
88068
98745
35886
90230.
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