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Production planning under demand uncertainty

Description
Planning the production of several types of drinking glasses for the next N weeks subject to uncertain demand (formulated via scenarios) or uncertain resource capacity limits (polyhedral uncertainty).

Further explanation of this example: Whitepaper 'Robust Optimization with Xpress', Section 3 Production planning under demand uncertainty

robc2glass.zip[download all files]

Source Files
By clicking on a file name, a preview is opened at the bottom of this page.
c2glass_robust.mos[download]

Data Files
c2glass_scen.dat[download]




c2glass_scen.dat

P: 6
T: 12
CAPW: 468
CAPM: 850
CAPS: 1000
CSTOCK: [(1) 25 (2) 28 (3) 25 (4) 27 (5) 10 (6) 20]
CPROD: [(1) 100 (2) 80 (3) 110 (4) 90 (5) 200 (6) 140]
ISTOCK: [(1) 50 (2) 20 (3) 0 (4) 15 (5) 0 (6) 10]
FSTOCK: [(1) 10 (2) 10 (3) 10 (4) 10 (5) 10 (6) 10]
TIMEW: [(1) 3 (2) 3 (3) 3 (4) 2 (5) 4 (6) 4]
TIMEM: [(1) 2 (2) 1 (3) 4 (4) 8 (5) 11 (6) 9]
SPACE: [(1) 4 (2) 5 (3) 5 (4) 6 (5) 4 (6) 9]
ABSENCE: [(1) 31 (2) 31 (3) 39 (4) 39 (5) 54 (6) 70 (7) 70 (8) 54 (9) 23 (10) 23 (11) 39
 (12) 31]
SCENDEM: [(1 1 1) 20 (1 1 2) 22 (1 1 3) 18 (1 1 4) 35 (1 1 5) 17 (1 1 6) 19 (1 1 7) 23
 (1 1 8) 20 (1 1 9) 29 (1 1 10) 30 (1 1 11) 28 (1 1 12) 32 (1 2 1) 17 (1 2
 2) 19 (1 2 3) 23 (1 2 4) 20 (1 2 5) 11 (1 2 6) 10 (1 2 7) 12 (1 2 8) 34 (1
 2 9) 21 (1 2 10) 23 (1 2 11) 30 (1 2 12) 12 (1 3 1) 18 (1 3 2) 35 (1 3 3) 17
 (1 3 4) 10 (1 3 5) 9 (1 3 6) 21 (1 3 7) 23 (1 3 8) 15 (1 3 9) 10 (1 3 10) 0
 (1 3 11) 13 (1 3 12) 17 (1 4 1) 31 (1 4 2) 45 (1 4 3) 24 (1 4 4) 38 (1 4 5) 41
 (1 4 6) 20 (1 4 7) 19 (1 4 8) 37 (1 4 9) 28 (1 4 10) 12 (1 4 11) 30 (1 4 12) 37
 (1 5 1) 23 (1 5 2) 20 (1 5 3) 23 (1 5 4) 15 (1 5 5) 10 (1 5 6) 22 (1 5 7) 18
 (1 5 8) 30 (1 5 9) 28 (1 5 10) 7 (1 5 11) 15 (1 5 12) 10 (1 6 1) 22 (1 6 2) 18
 (1 6 3) 20 (1 6 4) 19 (1 6 5) 18 (1 6 6) 35 (1 6 7) 0 (1 6 8) 28 (1 6 9) 12
 (1 6 10) 30 (1 6 11) 21 (1 6 12) 23 (2 1 1) 19 (2 1 2) 22 (2 1 3) 17 (2 1
 4) 29 (2 1 5) 18 (2 1 6) 15 (2 1 7) 20 (2 1 8) 17 (2 1 9) 30 (2 1 10) 31 (2
 1 11) 29 (2 1 12) 32 (2 2 1) 14 (2 2 2) 16 (2 2 3) 23 (2 2 4) 17 (2 2 5) 11
 (2 2 6) 8 (2 2 7) 10 (2 2 8) 33 (2 2 9) 17 (2 2 10) 19 (2 2 11) 25 (2 2 12) 10
 (2 3 1) 16 (2 3 2) 34 (2 3 3) 17 (2 3 4) 9 (2 3 5) 8 (2 3 6) 20 (2 3 7) 19
 (2 3 8) 16 (2 3 9) 10 (2 3 10) 0 (2 3 11) 13 (2 3 12) 17 (2 4 1) 28 (2 4 2) 43
 (2 4 3) 25 (2 4 4) 37 (2 4 5) 41 (2 4 6) 17 (2 4 7) 17 (2 4 8) 37 (2 4 9) 28
 (2 4 10) 10 (2 4 11) 29 (2 4 12) 31 (2 5 1) 21 (2 5 2) 19 (2 5 3) 21 (2 5
 4) 16 (2 5 5) 9 (2 5 6) 21 (2 5 7) 17 (2 5 8) 26 (2 5 9) 27 (2 5 10) 6 (2
 5 11) 13 (2 5 12) 10 (2 6 1) 22 (2 6 2) 16 (2 6 3) 17 (2 6 4) 16 (2 6 5) 17
 (2 6 6) 35 (2 6 7) 0 (2 6 8) 23 (2 6 9) 10 (2 6 10) 30 (2 6 11) 18 (2 6 12) 22
 (3 1 1) 17 (3 1 2) 18 (3 1 3) 19 (3 1 4) 33 (3 1 5) 14 (3 1 6) 19 (3 1 7) 21
 (3 1 8) 20 (3 1 9) 25 (3 1 10) 27 (3 1 11) 24 (3 1 12) 30 (3 2 1) 18 (3 2
 2) 16 (3 2 3) 19 (3 2 4) 20 (3 2 5) 10 (3 2 6) 10 (3 2 7) 11 (3 2 8) 32 (3
 2 9) 20 (3 2 10) 24 (3 2 11) 26 (3 2 12) 10 (3 3 1) 17 (3 3 2) 29 (3 3 3) 16
 (3 3 4) 8 (3 3 5) 8 (3 3 6) 18 (3 3 7) 18 (3 3 8) 14 (3 3 9) 10 (3 3 10) 0
 (3 3 11) 11 (3 3 12) 17 (3 4 1) 29 (3 4 2) 39 (3 4 3) 24 (3 4 4) 34 (3 4 5) 37
 (3 4 6) 17 (3 4 7) 19 (3 4 8) 38 (3 4 9) 25 (3 4 10) 12 (3 4 11) 29 (3 4 12) 33
 (3 5 1) 22 (3 5 2) 21 (3 5 3) 21 (3 5 4) 15 (3 5 5) 10 (3 5 6) 23 (3 5 7) 17
 (3 5 8) 25 (3 5 9) 28 (3 5 10) 7 (3 5 11) 14 (3 5 12) 9 (3 6 1) 19 (3 6 2) 16
 (3 6 3) 21 (3 6 4) 18 (3 6 5) 18 (3 6 6) 32 (3 6 7) 0 (3 6 8) 27 (3 6 9) 11
 (3 6 10) 26 (3 6 11) 21 (3 6 12) 21 (4 1 1) 18 (4 1 2) 17 (4 1 3) 20 (4 1
 4) 28 (4 1 5) 10 (4 1 6) 13 (4 1 7) 26 (4 1 8) 16 (4 1 9) 20 (4 1 10) 38 (4
 1 11) 31 (4 1 12) 26 (4 2 1) 24 (4 2 2) 19 (4 2 3) 21 (4 2 4) 15 (4 2 5) 11
 (4 2 6) 12 (4 2 7) 0 (4 2 8) 26 (4 2 9) 15 (4 2 10) 15 (4 2 11) 25 (4 2 12) 12
 (4 3 1) 17 (4 3 2) 36 (4 3 3) 13 (4 3 4) 0 (4 3 5) 5 (4 3 6) 18 (4 3 7) 18
 (4 3 8) 10 (4 3 9) 0 (4 3 10) 7 (4 3 11) 14 (4 3 12) 21 (4 4 1) 36 (4 4 2) 47
 (4 4 3) 20 (4 4 4) 36 (4 4 5) 33 (4 4 6) 15 (4 4 7) 7 (4 4 8) 31 (4 4 9) 36
 (4 4 10) 9 (4 4 11) 28 (4 4 12) 39 (4 5 1) 19 (4 5 2) 17 (4 5 3) 23 (4 5 4) 13
 (4 5 5) 8 (4 5 6) 21 (4 5 7) 17 (4 5 8) 26 (4 5 9) 25 (4 5 10) 6 (4 5 11) 14
 (4 5 12) 7 (4 6 1) 20 (4 6 2) 14 (4 6 3) 20 (4 6 4) 20 (4 6 5) 15 (4 6 6) 36
 (4 6 7) 0 (4 6 8) 26 (4 6 9) 7 (4 6 10) 29 (4 6 11) 21 (4 6 12) 19 (5 1 1) 18
 (5 1 2) 18 (5 1 3) 22 (5 1 4) 26 (5 1 5) 10 (5 1 6) 14 (5 1 7) 14 (5 1 8) 24
 (5 1 9) 17 (5 1 10) 26 (5 1 11) 28 (5 1 12) 27 (5 2 1) 19 (5 2 2) 8 (5 2 3) 19
 (5 2 4) 14 (5 2 5) 7 (5 2 6) 0 (5 2 7) 7 (5 2 8) 28 (5 2 9) 14 (5 2 10) 20
 (5 2 11) 23 (5 2 12) 0 (5 3 1) 14 (5 3 2) 30 (5 3 3) 9 (5 3 4) 6 (5 3 5) 6
 (5 3 6) 17 (5 3 7) 23 (5 3 8) 12 (5 3 9) 9 (5 3 10) 0 (5 3 11) 8 (5 3 12) 15
 (5 4 1) 33 (5 4 2) 39 (5 4 3) 21 (5 4 4) 42 (5 4 5) 40 (5 4 6) 9 (5 4 7) 13
 (5 4 8) 36 (5 4 9) 12 (5 4 10) 6 (5 4 11) 30 (5 4 12) 31 (5 5 1) 20 (5 5 2) 19
 (5 5 3) 20 (5 5 4) 17 (5 5 5) 8 (5 5 6) 19 (5 5 7) 16 (5 5 8) 27 (5 5 9) 31
 (5 5 10) 5 (5 5 11) 14 (5 5 12) 11 (5 6 1) 19 (5 6 2) 17 (5 6 3) 16 (5 6 4) 18
 (5 6 5) 18 (5 6 6) 35 (5 6 7) 0 (5 6 8) 27 (5 6 9) 11 (5 6 10) 24 (5 6 11) 20
 (5 6 12) 23 (6 1 1) 23 (6 1 2) 20 (6 1 3) 19 (6 1 4) 28 (6 1 5) 15 (6 1 6) 22
 (6 1 7) 18 (6 1 8) 15 (6 1 9) 30 (6 1 10) 23 (6 1 11) 25 (6 1 12) 27 (6 2
 1) 16 (6 2 2) 18 (6 2 3) 18 (6 2 4) 18 (6 2 5) 14 (6 2 6) 9 (6 2 7) 11 (6
 2 8) 30 (6 2 9) 19 (6 2 10) 22 (6 2 11) 25 (6 2 12) 15 (6 3 1) 19 (6 3 2) 31
 (6 3 3) 15 (6 3 4) 11 (6 3 5) 12 (6 3 6) 20 (6 3 7) 19 (6 3 8) 17 (6 3 9) 13
 (6 3 10) 0 (6 3 11) 13 (6 3 12) 15 (6 4 1) 27 (6 4 2) 35 (6 4 3) 27 (6 4 4) 34
 (6 4 5) 39 (6 4 6) 22 (6 4 7) 23 (6 4 8) 28 (6 4 9) 32 (6 4 10) 12 (6 4 11) 27
 (6 4 12) 31 (6 5 1) 20 (6 5 2) 19 (6 5 3) 19 (6 5 4) 16 (6 5 5) 13 (6 5 6) 18
 (6 5 7) 18 (6 5 8) 23 (6 5 9) 24 (6 5 10) 8 (6 5 11) 14 (6 5 12) 10 (6 6 1) 17
 (6 6 2) 15 (6 6 3) 19 (6 6 4) 20 (6 6 5) 16 (6 6 6) 30 (6 6 7) 5 (6 6 8) 26
 (6 6 9) 12 (6 6 10) 23 (6 6 11) 22 (6 6 12) 18 (7 1 1) 18 (7 1 2) 25 (7 1
 3) 19 (7 1 4) 28 (7 1 5) 17 (7 1 6) 15 (7 1 7) 26 (7 1 8) 16 (7 1 9) 27 (7
 1 10) 31 (7 1 11) 26 (7 1 12) 28 (7 2 1) 15 (7 2 2) 18 (7 2 3) 21 (7 2 4) 21
 (7 2 5) 13 (7 2 6) 8 (7 2 7) 13 (7 2 8) 32 (7 2 9) 17 (7 2 10) 19 (7 2 11) 26
 (7 2 12) 11 (7 3 1) 17 (7 3 2) 27 (7 3 3) 13 (7 3 4) 13 (7 3 5) 11 (7 3 6) 17
 (7 3 7) 23 (7 3 8) 13 (7 3 9) 10 (7 3 10) 0 (7 3 11) 11 (7 3 12) 15 (7 4 1) 33
 (7 4 2) 45 (7 4 3) 23 (7 4 4) 30 (7 4 5) 33 (7 4 6) 21 (7 4 7) 16 (7 4 8) 38
 (7 4 9) 30 (7 4 10) 11 (7 4 11) 32 (7 4 12) 36 (7 5 1) 18 (7 5 2) 21 (7 5
 3) 19 (7 5 4) 18 (7 5 5) 10 (7 5 6) 22 (7 5 7) 18 (7 5 8) 26 (7 5 9) 25 (7
 5 10) 8 (7 5 11) 15 (7 5 12) 10 (7 6 1) 22 (7 6 2) 21 (7 6 3) 17 (7 6 4) 17
 (7 6 5) 17 (7 6 6) 32 (7 6 7) 7 (7 6 8) 22 (7 6 9) 10 (7 6 10) 28 (7 6 11) 16
 (7 6 12) 18]
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