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 A.1. RANDOM DIGITS94737872596385608225859821401635614132961852746783057042482689326116346193423172883197486396908302588668905595999865214661674587016855857365063915173067566558327475950248035003163521012534960747166612547143071258582948349905769607377920148866248514532414527282566809769703462438868647741967649305091865366053172142511108554416113030445334563402909603097579410704743428222811173847382446115744834512172620445390547861501686043049408566523973508079771492168364634709780400945548253007331787804597213863192715459004210441118823986999005468708499708916249649903337444844593500022127652092646439577538142178462252824017341415601709626539119464550989058457553604158375377036944047131567078210905619922535970849047266693148073180164735442174772573724964053116039309617775502917015182634212282503919587882697970335955413676311776090624759107093702502570114492617936108745877322749137131601348229923736893571229602941358792685039660702946494661340921921238480992198772434334591607463620308881878210962191038988207263099031269052739578851991310340494 . 490697060701610550648353745095431525441486576198567933747312217564085159578647835350378166946725640667726075168252107912700235780545979792612615327734125701053122254109301271527685086821769647564631426751877869889376396647554926001648094466332035986955572439723138870803663209426476735770094650918784671771724543070369170391922671603708292222558612810015281326872253110678804202868942802850443350576216368808120231264303868234711805573706502490957659237901747056117383917942455043259000670712183576047511791080900358939346724161081402574541829193138817190004667580889669018507725887680725507275860851552929566331285268098832698145429869236299745978105751821979487673588601159017867552288068156876863199360071619874541319031217573998082200462801390230. 6926414497

This question considers the mean exponentially distributed execution time and the poisson mean…

Answered: University center has two main…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

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 A.1. RANDOM DIGITS
94737
87259
63856
08225
85982
14016
35614
13296
18527
46783
05704
24826
89326
11634
61934
23172
88319
74863
96908
30258
86689
05595
99986
52146
61674
58701
68558
57365
06391
51730
67566
55832
74759
50248
03500
31635
21012
53496
07471
66612
54714
30712
58582
94834
99057
69607
37792
01488
66248
51453
24145
27282
56680
97697
03462
43886
86477
41967
64930
50918
65366
05317
21425
11108
55441
61130
30445
33456
34029
09603
09757
94107
04743
42822
28111
73847
38244
61157
44834
51217
26204
45390
54786
15016
86043
04940
85665
23973
50807
97714
92168
36463
47097
80400
94554
82530
07331
78780
45972
13863
19271
54590
04210
44111
88239
86999
00546
87084
99708
91624
96499
03337
44484
45935
00022
12765
20926
46439
57753
81421
78462
25282
40173
41415
60170
96265
39119
46455
09890
58457
55360
41583
75377
03694
40471
31567
07821
09056
19922
53597
08490
47266
69314
80731
80164
73544
21747
72573
72496
40531
16039
30961
77755
02917
01518
26342
12282
50391
95878
82697
97033
59554
13676
31177
60906
24759
10709
37025
02570
11449
26179
36108
74587
73227
49137
13160
13482
29923
73689
35712
29602
94135
87926
85039
66070
29464
94661
34092
19212
38480
99219
87724
34334
59160
74636
20308
88187
82109
62191
03898
82072
63099
03126
90527
39578
85199
13103
40494 . 49069
70607
01610
55064
83537
45095
43152
54414
86576
19856
79337
47312
21756
40851
59578
64783
53503
78166
94672
56406
67726
07516
82521
07912
70023
57805
45979
79261
26153
27734
12570
10531
22254
10930
12715
27685
08682
17696
47564
63142
67518
77869
88937
63966
47554
92600
16480
94466
33203
59869
55572
43972
31388
70803
66320
94264
76735
77009
46509
18784
67177
17245
43070
36917
03919
22671
60370
82922
22558
61281
00152
81326
87225
31106
78804
20286
89428
02850
44335
05762
16368
80812
02312
64303
86823
47118
05573
70650
24909
57659
23790
17470
56117
38391
79424
55043
25900
06707
12183
57604
75117
91080
90035
89393
46724
16108
14025
74541
82919
31388
17190
00466
75808
89669
01850
77258
87680
72550
72758
60851
55292
95663
31285
26809
88326
98145
42986
92362
99745
97810
57518
21979
48767
35886
01159
01786
75522
88068
15687
68631
99360
07161
98745
41319
03121
75739
98082
20046
28013
90230. 69264
14497

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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