. 2020 May 2;67(5):303–320. doi: 10.1002/nav.21905
© 2020 Wiley Periodicals, Inc.
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TABLE 3.
Ventilators' shortage summary under Cases I‐VI, with Q = 320 and (ρ, L) = (3.00, 0)
| (γ, τ) | Case | Total | Worst date (t) | Worst date‐state (t, n) |
|---|---|---|---|---|
| (0.50, 0.00) | I | 3 | 0 | 0 |
| II | 1 | 0 | 0 | |
| III | 3 | 0 | 0 | |
| IV a | 22 239 | 2974 (April 19, 2020) | 917 (April 21, 2020, Illinois) | |
| V a | 48 434 | 5591 (April 19, 2020) | 1626 (April 21, 2020, Florida) | |
| VI a | 247 524 | 18 006 (April 17, 2020) | 4387 (April 16, 2020, Alabama) | |
| (0.50, 0.25) | I | 3 | 0 | 0 |
| II | 1 | 0 | 0 | |
| III | 3 | 0 | 0 | |
| IV a | 7749 | 1250 (April 20, 2020) | 410 (April 20, 2020, Illinois) | |
| V a | 25 576 | 3348 (April 19, 2020) | 1003 (April 16, 2020, Alabama) | |
| VI a | 190 771 | 14 883 (April 17, 2020) | 3916 (April 16, 2020, Alabama) | |
| (0.50, 0.50) | I | 3 | 0 | 0 |
| II | 1 | 0 | 0 | |
| III | 3 | 0 | 0 | |
| IV a | 2666 | 750 (April 19, 2020) | 289 (April 20, 2020, Florida) | |
| V a | 14 403 | 2567 (April 20, 2020) | 1115 (April 21, 2020, Florida) | |
| VI a | 132 855 | 11 965 (April 18, 2020) | 3161 (April 21, 2020, Illinois) | |
| (0.60, 0.00) | I | 4 | 0 | 0 |
| II | 4 | 0 | 0 | |
| III | 8 | 1 (April 24, 2020) | 0 | |
| IV a | 62 677 | 6506 (April 19, 2020) | 1529 (April 16, 2020, Alabama) | |
| V a | 100 644 | 9489 (April 19, 2020) | 2435 (April 23, 2020, Illinois) | |
| VI a | 337 955 | 22 532 (April 17, 2020) | 4831 (April 16, 2020, Alabama) | |
| (0.60, 0.25) | I | 4 | 0 | 0 |
| II | 4 | 0 | 0 | |
| III | 12 | 1 (April 20, 2020) | 0 | |
| IV a | 50 770 | 5565 (April 19, 2020) | 1271 (April 16, 2020, Alabama) | |
| V a | 81 225 | 8120 (April 19, 2020) | 1969 (April 16, 2020, Alabama) | |
| VI a | 297 366 | 20 457 (April 17, 2020) | 4581 (April 16, 2020, Alabama) | |
| (0.60, 0.50) | I | 7 | 1 (March 24, 2020) | 0 |
| II | 7 | 1 (April 17, 2020) | 0 | |
| III | 16 | 1 (April 19, 2020) | 1 (April 6, 2020, New York) | |
| IV a | 39 464 | 4727 (April 19, 2020) | 1021 (April 16, 2020, Alabama) | |
| V a | 64 578 | 7000 (April 19, 2020) | 1618 (April 16, 2020, Alabama) | |
| VI a | 246 365 | 17 870 (April 18, 2020) | 3954 (April 22, 2020, Illinois) | |
| (0.75, 0.00) | I | 7 | 1 (April 19, 2020) | 0 |
| II | 9 | 1 (May 1, 2020) | 0 | |
| III a | 29 710 | 3463 (April 19, 2020) | 835 (March 23, 2020, New York) | |
| IV a | 179 044 | 14 176 (April 19, 2020) | 2829 (April 16, 2020, Alabama) | |
| V a | 231 612 | 17 201 (April 19, 2020) | 3429 (April 16, 2020, Alabama) | |
| VI a | 527 275 | 30 596 (April 17, 2020) | 5700 (April 16, 2020, Alabama) | |
| (0.75, 0.25) | I | 23 | 3 (April 15, 2020) | 1 (April 15, 2020, Ohio) |
| II | 22 | 2 (April 8, 2020) | 2 (April 9, 2020, Washington) | |
| III a | 27 362 | 3410 (April 19, 2020) | 835 (March 23, 2020, New York) | |
| IV a | 169 753 | 13 504 (April 19, 2020) | 2674 (April 16, 2020, Alabama) | |
| V a | 218 080 | 16 487 (April 19, 2020) | 3324 (April 16, 2020, Alabama) | |
| VI a | 506 928 | 29 776 (April 17, 2020) | 5700 (April 16, 2020, Alabama) | |
| (0.75, 0.50) | I | 20 | 1 (April 14, 2020) | 1 (April 22, 2020, Indiana) |
| II | 8 | 1 (May 1, 2020) | 0 | |
| III a | 24 204 | 3155 (April 19, 2020) | 835 (March 23, 2020, New York) | |
| IV a | 160 279 | 12 675 (April 19, 2020) | 2407 (April 16, 2020, Alabama) | |
| V a | 205 062 | 15 889 (April 19, 2020) | 3,289 (April 16, 2020, Alabama) | |
| VI a | 464 863 | 28 015 (April 17, 2020) | 5,447 (April 16, 2020, Alabama) |
a
Reached the time limit. The reported results correspond to the best integer solution found.