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
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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.

  1. 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.
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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