$ontext sppA5 pooling problem data. Author: Mohammed Alfaki, Wed Nov 9 15:36:08 2011 $offtext $eolcom # # Declare sets set i / 1*45 /; set s(i) / 1*20 /; set t(i) /31*45 /; set k / 1*24 /; alias (i,j); # The arc unit cost c_{ij} table c(i,j) 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 21.00 0.00 21.00 21.00 21.00 21.00 0.00 0.00 0.00 21.00 0.00 0.00 0.00 0.00 -29.00 0.00 -23.00 0.00 -21.00 0.00 0.00 0.00 -23.00 0.00 0.00 2 0.00 22.00 0.00 22.00 0.00 22.00 22.00 0.00 22.00 0.00 0.00 -19.00 0.00 -28.00 0.00 0.00 0.00 0.00 0.00 -21.00 -23.00 0.00 0.00 0.00 0.00 3 49.00 49.00 49.00 0.00 49.00 49.00 0.00 0.00 49.00 49.00 1.00 0.00 0.00 0.00 0.00 5.00 5.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 2.00 4 0.00 32.00 32.00 0.00 32.00 0.00 32.00 32.00 32.00 32.00 -16.00 0.00 0.00 -18.00 0.00 0.00 0.00 -17.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5 40.00 40.00 40.00 0.00 0.00 40.00 40.00 0.00 0.00 0.00 0.00 0.00 -1.00 0.00 0.00 0.00 0.00 0.00 0.00 -3.00 -5.00 0.00 0.00 0.00 -7.00 6 16.00 0.00 0.00 0.00 16.00 16.00 16.00 16.00 16.00 16.00 0.00 0.00 0.00 0.00 0.00 0.00 -28.00 -33.00 0.00 0.00 0.00 0.00 -28.00 -32.00 -31.00 7 22.00 22.00 22.00 0.00 22.00 0.00 0.00 22.00 0.00 22.00 -26.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -23.00 0.00 -22.00 0.00 0.00 8 31.00 31.00 31.00 31.00 0.00 31.00 31.00 31.00 0.00 31.00 0.00 0.00 -10.00 0.00 -19.00 0.00 -13.00 -18.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 9 0.00 19.00 19.00 0.00 19.00 19.00 0.00 19.00 19.00 19.00 0.00 0.00 -22.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -26.00 -30.00 0.00 0.00 0.00 10 0.00 44.00 44.00 44.00 44.00 44.00 44.00 44.00 0.00 44.00 0.00 0.00 0.00 -6.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 0.00 0.00 0.00 11 46.00 0.00 0.00 46.00 46.00 0.00 0.00 46.00 0.00 46.00 -2.00 5.00 5.00 0.00 -4.00 0.00 2.00 0.00 0.00 0.00 0.00 0.00 0.00 -2.00 -1.00 12 0.00 0.00 26.00 26.00 26.00 26.00 26.00 0.00 0.00 0.00 -22.00 0.00 -15.00 0.00 -24.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -18.00 -22.00 0.00 13 32.00 32.00 32.00 0.00 0.00 32.00 32.00 0.00 0.00 0.00 -16.00 0.00 0.00 0.00 0.00 0.00 -12.00 -17.00 -10.00 0.00 0.00 0.00 0.00 0.00 0.00 14 31.00 31.00 0.00 0.00 31.00 31.00 0.00 31.00 0.00 31.00 0.00 -10.00 0.00 0.00 0.00 0.00 -13.00 0.00 0.00 -12.00 0.00 0.00 0.00 0.00 0.00 15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 38.00 -10.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7.00 -11.00 -6.00 0.00 -9.00 16 42.00 42.00 0.00 42.00 0.00 0.00 0.00 0.00 42.00 0.00 0.00 0.00 1.00 -8.00 0.00 -2.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 17 0.00 0.00 0.00 33.00 0.00 33.00 0.00 33.00 33.00 33.00 0.00 0.00 0.00 0.00 0.00 -11.00 0.00 0.00 0.00 0.00 -12.00 0.00 -11.00 -15.00 -14.00 18 0.00 35.00 0.00 0.00 0.00 35.00 0.00 0.00 35.00 35.00 -13.00 0.00 0.00 0.00 -15.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -12.00 19 17.00 17.00 0.00 17.00 0.00 17.00 0.00 0.00 17.00 0.00 -31.00 -24.00 0.00 -33.00 0.00 0.00 -27.00 0.00 -25.00 0.00 0.00 0.00 0.00 -31.00 0.00 20 40.00 0.00 0.00 40.00 0.00 0.00 0.00 40.00 0.00 40.00 0.00 0.00 0.00 -10.00 0.00 0.00 0.00 0.00 0.00 0.00 -5.00 0.00 -4.00 0.00 0.00 21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -41.00 0.00 0.00 -50.00 -44.00 -44.00 -49.00 0.00 0.00 0.00 -49.00 0.00 -48.00 0.00 22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -41.00 0.00 -50.00 0.00 0.00 0.00 -49.00 -42.00 -43.00 -45.00 0.00 -44.00 -48.00 -47.00 23 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -41.00 0.00 -50.00 0.00 -44.00 -44.00 0.00 0.00 -43.00 -45.00 0.00 0.00 0.00 0.00 24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 0.00 0.00 -50.00 0.00 0.00 -44.00 -49.00 -42.00 0.00 0.00 -49.00 -44.00 -48.00 -47.00 25 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -41.00 0.00 0.00 0.00 0.00 -44.00 0.00 0.00 -43.00 -45.00 -49.00 0.00 0.00 -47.00 26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -41.00 -41.00 0.00 -50.00 -44.00 0.00 0.00 -42.00 0.00 -45.00 0.00 -44.00 0.00 -47.00 27 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 0.00 0.00 -50.00 0.00 -44.00 -44.00 0.00 0.00 0.00 -45.00 -49.00 -44.00 -48.00 0.00 28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 0.00 0.00 -50.00 -50.00 -44.00 0.00 -49.00 -42.00 0.00 0.00 -49.00 -44.00 -48.00 -47.00 29 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -41.00 0.00 -50.00 0.00 0.00 0.00 0.00 0.00 -43.00 0.00 -49.00 -44.00 -48.00 0.00 30 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -41.00 -41.00 0.00 -50.00 -44.00 -44.00 -49.00 0.00 -43.00 0.00 -49.00 -44.00 -48.00 -47.00 ; # The adjacency matrix (the arcs set A) table a(i,j) 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 2 0 1 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 3 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 4 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 5 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 6 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 7 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 8 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 9 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 10 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 11 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 12 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1 1 0 13 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 14 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 15 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 16 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 17 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 18 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 19 1 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 0 20 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 21 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 22 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 1 1 23 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 1 0 0 0 0 24 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 1 25 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 1 26 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 0 1 27 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 28 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 29 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 30 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 ; # Source qualities/terminal quality upper bounds table q(i,k) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 77.35 4.92 35.36 64.17 25.43 4.42 12.84 28.66 16.48 79.91 6.98 15.94 -77.35 -4.92 -35.36 -64.17 -25.43 -4.42 -12.84 -28.66 -16.48 -79.91 -6.98 -15.94 2 76.93 43.94 34.11 12.25 60.28 60.55 32.05 25.61 11.65 59.70 61.09 45.45 -76.93 -43.94 -34.11 -12.25 -60.28 -60.55 -32.05 -25.61 -11.65 -59.70 -61.09 -45.45 3 71.51 49.85 22.00 49.47 72.62 9.19 23.99 72.27 68.61 54.50 65.43 28.24 -71.51 -49.85 -22.00 -49.47 -72.62 -9.19 -23.99 -72.27 -68.61 -54.50 -65.43 -28.24 4 43.79 58.87 76.79 21.35 67.20 79.49 50.85 23.56 64.77 55.26 8.93 65.94 -43.79 -58.87 -76.79 -21.35 -67.20 -79.49 -50.85 -23.56 -64.77 -55.26 -8.93 -65.94 5 40.05 67.43 29.06 31.64 43.26 59.64 25.18 75.23 12.47 33.59 31.64 9.00 -40.05 -67.43 -29.06 -31.64 -43.26 -59.64 -25.18 -75.23 -12.47 -33.59 -31.64 -9.00 6 27.82 51.60 20.76 65.43 4.49 77.00 51.97 37.82 54.73 47.61 55.75 72.81 -27.82 -51.60 -20.76 -65.43 -4.49 -77.00 -51.97 -37.82 -54.73 -47.61 -55.75 -72.81 7 78.87 39.98 78.41 13.55 65.94 63.76 22.02 27.43 73.45 2.89 44.32 74.90 -78.87 -39.98 -78.41 -13.55 -65.94 -63.76 -22.02 -27.43 -73.45 -2.89 -44.32 -74.90 8 31.44 17.82 57.28 64.73 48.66 17.84 7.89 16.48 37.60 13.49 55.31 73.96 -31.44 -17.82 -57.28 -64.73 -48.66 -17.84 -7.89 -16.48 -37.60 -13.49 -55.31 -73.96 9 66.01 24.57 34.83 46.94 64.29 41.06 7.70 65.79 30.22 33.71 9.96 0.53 -66.01 -24.57 -34.83 -46.94 -64.29 -41.06 -7.70 -65.79 -30.22 -33.71 -9.96 -0.53 10 27.01 1.22 12.03 68.19 17.85 6.96 29.17 37.54 6.14 35.07 72.63 48.10 -27.01 -1.22 -12.03 -68.19 -17.85 -6.96 -29.17 -37.54 -6.14 -35.07 -72.63 -48.10 11 57.28 10.76 41.11 19.18 24.25 61.11 24.38 8.11 39.74 9.56 58.22 75.11 -57.28 -10.76 -41.11 -19.18 -24.25 -61.11 -24.38 -8.11 -39.74 -9.56 -58.22 -75.11 12 23.05 21.04 66.83 0.93 48.43 56.50 19.87 36.82 75.47 59.10 24.67 60.81 -23.05 -21.04 -66.83 -0.93 -48.43 -56.50 -19.87 -36.82 -75.47 -59.10 -24.67 -60.81 13 12.31 34.11 65.42 67.57 23.93 65.72 72.52 10.11 23.72 54.25 43.28 19.96 -12.31 -34.11 -65.42 -67.57 -23.93 -65.72 -72.52 -10.11 -23.72 -54.25 -43.28 -19.96 14 24.85 64.10 76.15 40.16 23.49 66.23 22.11 74.35 20.12 9.38 28.62 9.77 -24.85 -64.10 -76.15 -40.16 -23.49 -66.23 -22.11 -74.35 -20.12 -9.38 -28.62 -9.77 15 14.62 63.81 23.41 56.97 69.79 22.89 59.29 70.82 75.25 46.38 40.05 63.46 -14.62 -63.81 -23.41 -56.97 -69.79 -22.89 -59.29 -70.82 -75.25 -46.38 -40.05 -63.46 16 46.59 60.09 45.09 79.26 4.10 56.47 3.12 64.42 10.90 68.72 37.62 41.27 -46.59 -60.09 -45.09 -79.26 -4.10 -56.47 -3.12 -64.42 -10.90 -68.72 -37.62 -41.27 17 6.13 65.28 30.12 1.45 56.23 74.38 16.33 18.00 13.39 9.77 29.99 17.65 -6.13 -65.28 -30.12 -1.45 -56.23 -74.38 -16.33 -18.00 -13.39 -9.77 -29.99 -17.65 18 58.50 14.24 7.16 28.73 36.27 59.35 76.31 24.08 58.75 4.89 7.66 71.18 -58.50 -14.24 -7.16 -28.73 -36.27 -59.35 -76.31 -24.08 -58.75 -4.89 -7.66 -71.18 19 71.82 47.30 7.58 63.48 76.92 38.88 73.61 58.80 41.36 61.21 74.00 55.55 -71.82 -47.30 -7.58 -63.48 -76.92 -38.88 -73.61 -58.80 -41.36 -61.21 -74.00 -55.55 20 75.94 15.06 29.15 59.02 66.47 8.91 43.05 52.84 8.43 40.97 41.17 62.51 -75.94 -15.06 -29.15 -59.02 -66.47 -8.91 -43.05 -52.84 -8.43 -40.97 -41.17 -62.51 31 35.45 28.51 62.24 83.17 59.95 84.41 40.52 28.99 82.47 54.45 82.64 27.64 -0.52 -0.21 -0.40 -6.00 -16.14 -15.34 -17.65 -5.60 -12.04 -4.13 -17.52 -12.79 32 58.69 38.46 21.33 36.07 53.67 33.74 67.90 75.66 36.49 98.64 94.00 66.28 -19.55 -6.27 -14.32 -8.46 -3.93 -18.11 -13.68 -0.28 -14.71 -10.81 -2.97 -19.46 33 24.19 76.04 27.79 92.98 25.48 91.30 39.81 79.12 27.97 96.79 32.46 73.24 -17.58 -5.22 -6.63 -11.07 -10.47 -18.70 -14.29 -2.55 -9.09 -15.63 -12.93 -3.49 34 70.81 97.79 60.77 91.24 69.11 84.44 88.86 27.09 88.71 26.97 43.36 52.57 -0.88 -10.32 -0.70 -18.59 -4.27 -3.69 -11.31 -9.44 -9.37 -0.26 -3.06 -19.77 35 84.48 92.08 82.30 46.50 65.98 23.75 24.10 49.19 87.87 50.23 70.43 26.96 -2.60 -13.59 -5.00 -4.03 -12.45 -5.87 -1.54 -16.33 -14.47 -14.43 -14.46 -1.83 36 65.37 50.59 48.95 99.74 87.35 48.49 84.34 73.69 58.31 80.75 91.27 76.79 -5.73 -14.23 -11.70 -18.27 -13.45 -16.08 -12.95 -11.72 -6.28 -5.16 -4.68 -16.94 37 20.53 46.89 49.80 24.60 56.63 46.76 38.52 92.64 59.03 53.45 94.03 31.47 -15.97 -19.38 -17.49 -14.58 -0.23 -12.06 -16.56 -19.25 -4.37 -6.26 -4.66 -16.39 38 76.81 34.43 55.81 38.70 71.35 42.58 67.05 72.07 25.32 42.09 84.76 20.44 -2.10 -7.65 -5.83 -0.64 -6.10 -18.56 -16.85 -13.00 -13.21 -7.86 -0.51 -2.22 39 44.89 89.95 23.51 59.92 40.58 56.84 79.05 64.85 51.11 82.27 39.99 34.63 -12.03 -7.86 -18.43 -2.25 -10.72 -12.88 -6.75 -1.83 -19.53 -2.89 -12.92 -14.09 40 87.27 34.01 53.35 94.96 93.73 46.48 84.35 74.53 70.55 82.81 90.35 86.07 -5.73 -12.01 -9.09 -19.60 -2.45 -15.96 -2.75 -0.09 -19.31 -6.35 -19.66 -13.98 41 28.76 70.72 68.04 74.82 22.74 80.97 70.85 20.88 85.79 80.52 58.61 58.05 -19.32 -15.25 -1.22 -9.87 -18.63 -11.66 -7.80 -6.37 -13.56 -6.15 -12.54 -4.08 42 92.33 22.77 24.86 65.86 73.70 66.48 29.11 70.29 54.68 49.38 87.09 98.59 -11.83 -12.79 -5.11 -19.16 -15.08 -11.13 -0.57 -10.76 -0.01 -10.55 -11.45 -5.30 43 39.86 95.68 32.51 85.03 26.50 77.68 77.91 86.20 90.51 97.21 33.50 48.24 -1.31 -15.70 -9.14 -5.37 -7.38 -11.98 -6.84 -5.51 -17.49 -15.06 -17.93 -3.46 44 80.33 32.66 81.44 47.34 30.91 72.80 46.64 91.84 43.16 21.05 95.26 25.14 -16.47 -5.96 -1.59 -13.73 -11.12 -15.67 -16.30 -19.14 -4.45 -17.35 -12.01 -0.88 45 47.47 46.79 38.97 59.18 82.69 77.69 81.64 96.71 69.97 55.56 56.85 64.91 -3.30 -14.31 -14.86 -2.85 -8.53 -5.09 -13.06 -2.36 -1.23 -17.74 -9.41 -7.36 ; # Node capacity lower bound parameter bl(i) / 1 0.00 2 0.00 3 0.00 4 0.00 5 0.00 6 0.00 7 0.00 8 0.00 9 0.00 10 0.00 11 0.00 12 0.00 13 0.00 14 0.00 15 0.00 16 0.00 17 0.00 18 0.00 19 0.00 20 0.00 31 0.00 32 0.00 33 0.00 34 0.00 35 0.00 36 0.00 37 0.00 38 0.00 39 0.00 40 0.00 41 0.00 42 0.00 43 0.00 44 0.00 45 0.00 / ; # Node capacity upper bound parameter bu(i) / 1 102.00 2 50.00 3 24.00 4 172.00 5 304.00 6 91.00 7 64.00 8 33.00 9 294.00 10 163.00 11 213.00 12 219.00 13 276.00 14 142.00 15 242.00 16 214.00 17 220.00 18 214.00 19 11.00 20 57.00 21 95.00 22 80.00 23 69.00 24 189.00 25 124.00 26 179.00 27 55.00 28 170.00 29 139.00 30 111.00 31 244.00 32 190.00 33 176.00 34 34.00 35 105.00 36 177.00 37 110.00 38 20.00 39 131.00 40 200.00 41 136.00 42 126.00 43 135.00 44 178.00 45 150.00 / ; $include xmodel.gms