A passenger aircraft seats 210 passengers in economy class, 7 abreast in rows 30 to 59. All seats are full for the current trip.
The in-flight menu for economy passengers has 3 main-course choices: curried mutton with rice, chicken supreme with brocolli, and pork belly with bean sprouts. Given that, on average, one-third of the passengers will prefer each main-course choice, the aircraft carries 70 meals of each type.
The meals are served from large trolleys that the servers push through the aircraft from row 30 abaft. Each passenger in turn is asked which meal they choose. Naturally, this depends on individual preference, but overall each choice is equally likely. Subject to availability, the passenger is then handed their selection.
Questions:
(1) In what row will at least one main-course choice likely become unavailable?
(2) How many passengers will likely receive a non-preferred meal?
(In reply to
We need a third simulation by Steve Herman)
In the previous simulations the alternative offered to the unsatisfied customer was randomized; the optional randomization wat the first query from the flight attendant, as to "who wants ____?".
But now the same set was changed so that each person's inability to get first choice is now not randomized, but rather the one with the most remaining.
The code for this is
r=find(cart==max(cart));
r=r(1);
rather than the randomizsion.
The number of unsatisfied has gone down from 8.2 to 6.7; the first row for such to happen, of course, has not changed from 56.8:
(This time I didn't bother to add lines showing zero cases meeting the given number, so you can find line for 31 followed immediately by that for 33)
>> subjectToAvailability
673866 100000 56.84237 6.73866 randperm
51 178
52 623
53 1958
54 5241
55 10674
56 18273
57 24909
58 24805
59 12933
1 377
2 3430
3 7070
4 9977
5 11559
6 11262
7 10517
8 9550
9 8243
10 6601
11 5225
12 4383
13 3316
14 2567
15 1827
16 1295
17 924
18 643
19 456
20 300
21 180
22 114
23 89
24 43
25 25
26 9
27 7
28 6
29 1
30 1
31 1
33 1
34 1
>> subjectToAvailability
672190 100000 56.84705 6.72190 randperm
51 179
52 652
53 1991
54 5134
55 10749
56 18007
57 24909
58 24916
59 13049
1 380
2 3558
3 7143
4 10103
5 11478
6 11333
7 10494
8 9361
9 8229
10 6633
11 5420
12 4226
13 3186
14 2470
15 1768
16 1313
17 966
18 674
19 430
20 311
21 171
22 138
23 80
24 47
25 32
26 26
27 10
28 8
29 4
30 4
31 3
32 1
>> subjectToAvailability
672364 100000 56.83822 6.72364 1:3
51 161
52 673
53 2143
54 5215
55 10702
56 17992
57 25003
58 24492
59 13184
1 396
2 3563
3 7370
4 10052
5 11482
6 11164
7 10560
8 9231
9 7954
10 6728
11 5375
12 4304
13 3281
14 2496
15 1793
16 1350
17 955
18 690
19 449
20 272
21 208
22 135
23 84
24 51
25 26
26 12
27 6
28 6
29 2
30 2
33 2
35 1
>> subjectToAvailability
671339 100000 56.83851 6.71339 1:3
51 183
52 667
53 2035
54 5187
55 10748
56 18135
57 24953
58 24530
59 13161
1 358
2 3571
3 7211
4 10386
5 11226
6 11378
7 10313
8 9453
9 8048
10 6696
11 5352
12 4228
13 3325
14 2556
15 1833
16 1259
17 921
18 681
19 425
20 300
21 172
22 126
23 72
24 52
25 21
26 22
27 9
29 3
30 1
31 1
35 1
Edited on June 2, 2022, 2:10 pm
Edited on June 2, 2022, 2:14 pm
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Posted by Charlie
on 2022-06-02 14:07:55 |
re: We need a third simulation
