$ontext sppA4 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 29.00 0.00 29.00 0.00 0.00 0.00 29.00 29.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -13.00 0.00 0.00 0.00 -17.00 0.00 -16.00 -19.00 0.00 2 0.00 0.00 0.00 0.00 12.00 12.00 0.00 12.00 12.00 12.00 -35.00 -29.00 0.00 0.00 0.00 0.00 0.00 0.00 -35.00 0.00 0.00 0.00 0.00 0.00 0.00 3 0.00 44.00 0.00 44.00 44.00 44.00 0.00 0.00 44.00 0.00 0.00 0.00 -1.00 1.00 -6.00 0.00 2.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 4 16.00 0.00 16.00 0.00 0.00 0.00 16.00 0.00 0.00 16.00 0.00 0.00 -29.00 -27.00 0.00 0.00 0.00 0.00 0.00 -26.00 0.00 0.00 0.00 -32.00 0.00 5 0.00 29.00 29.00 29.00 29.00 29.00 0.00 29.00 0.00 29.00 0.00 0.00 0.00 0.00 0.00 -11.00 0.00 0.00 0.00 -13.00 -17.00 0.00 0.00 -19.00 -15.00 6 0.00 0.00 0.00 0.00 0.00 27.00 0.00 0.00 27.00 0.00 0.00 0.00 -18.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -19.00 -20.00 0.00 0.00 0.00 7 20.00 20.00 20.00 20.00 20.00 20.00 20.00 0.00 0.00 0.00 0.00 -21.00 0.00 0.00 0.00 0.00 -22.00 -24.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 8 25.00 0.00 25.00 25.00 25.00 0.00 25.00 25.00 25.00 0.00 0.00 0.00 -20.00 0.00 -25.00 0.00 0.00 -19.00 -22.00 0.00 0.00 -22.00 0.00 0.00 -19.00 9 0.00 17.00 17.00 17.00 17.00 17.00 17.00 0.00 17.00 17.00 0.00 0.00 0.00 0.00 -33.00 0.00 -25.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -27.00 10 0.00 30.00 0.00 0.00 0.00 30.00 0.00 30.00 30.00 30.00 0.00 0.00 -15.00 0.00 0.00 0.00 0.00 0.00 0.00 -12.00 0.00 0.00 -15.00 0.00 0.00 11 0.00 10.00 10.00 10.00 0.00 10.00 10.00 0.00 10.00 10.00 0.00 -31.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -32.00 -36.00 0.00 -35.00 0.00 -34.00 12 0.00 0.00 41.00 0.00 0.00 41.00 41.00 41.00 41.00 41.00 -6.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -5.00 0.00 0.00 0.00 0.00 13 31.00 31.00 0.00 31.00 31.00 0.00 0.00 31.00 0.00 0.00 0.00 -10.00 -14.00 0.00 -19.00 0.00 -11.00 0.00 0.00 0.00 -15.00 0.00 0.00 -17.00 0.00 14 48.00 48.00 0.00 48.00 48.00 48.00 48.00 0.00 48.00 48.00 0.00 0.00 0.00 0.00 -2.00 0.00 0.00 0.00 0.00 6.00 2.00 0.00 0.00 0.00 4.00 15 0.00 42.00 0.00 42.00 0.00 0.00 42.00 0.00 0.00 42.00 0.00 1.00 0.00 -1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 16 0.00 0.00 36.00 36.00 36.00 36.00 36.00 0.00 36.00 0.00 0.00 0.00 0.00 -7.00 0.00 -4.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 17 23.00 0.00 0.00 0.00 0.00 0.00 0.00 23.00 23.00 0.00 0.00 0.00 -22.00 0.00 0.00 0.00 0.00 0.00 -24.00 0.00 0.00 0.00 0.00 0.00 0.00 18 26.00 0.00 0.00 0.00 26.00 26.00 26.00 26.00 26.00 26.00 0.00 0.00 0.00 0.00 -24.00 0.00 0.00 0.00 -21.00 0.00 0.00 0.00 0.00 0.00 -18.00 19 0.00 37.00 37.00 37.00 0.00 37.00 0.00 37.00 0.00 0.00 0.00 0.00 -8.00 0.00 0.00 -3.00 -5.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 20 0.00 42.00 42.00 0.00 42.00 0.00 42.00 42.00 0.00 42.00 0.00 0.00 0.00 -1.00 0.00 0.00 0.00 0.00 -5.00 0.00 0.00 0.00 -3.00 0.00 -2.00 21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -47.00 0.00 0.00 -43.00 0.00 -40.00 0.00 -44.00 0.00 -42.00 0.00 0.00 -45.00 -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 -47.00 -41.00 0.00 -43.00 0.00 0.00 -42.00 -44.00 0.00 0.00 0.00 -47.00 0.00 -48.00 0.00 23 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -47.00 0.00 -45.00 0.00 0.00 0.00 0.00 0.00 0.00 -42.00 0.00 0.00 0.00 0.00 -44.00 24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -47.00 -41.00 -45.00 -43.00 0.00 0.00 -42.00 0.00 -47.00 0.00 -46.00 0.00 -45.00 -48.00 0.00 25 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -41.00 -45.00 -43.00 -50.00 0.00 0.00 -44.00 0.00 0.00 0.00 -47.00 -45.00 0.00 0.00 26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -47.00 0.00 0.00 0.00 -50.00 0.00 0.00 0.00 -47.00 -42.00 0.00 0.00 0.00 0.00 -44.00 27 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -43.00 -50.00 -40.00 -42.00 -44.00 0.00 -42.00 -46.00 0.00 -45.00 -48.00 -44.00 28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -45.00 -43.00 0.00 -40.00 -42.00 0.00 -47.00 0.00 0.00 0.00 -45.00 0.00 0.00 29 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -45.00 -43.00 0.00 -40.00 -42.00 0.00 0.00 0.00 0.00 0.00 -45.00 -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 0.00 0.00 0.00 0.00 -50.00 -40.00 -42.00 0.00 -47.00 0.00 0.00 0.00 0.00 0.00 -44.00 ; # 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 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 2 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 3 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 4 1 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 5 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 6 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 7 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 8 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 9 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 10 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 11 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 12 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 13 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 14 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 15 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 16 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 17 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 18 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 19 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 20 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 21 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 22 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 23 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 24 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 25 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 0 26 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 1 27 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 28 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 0 29 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 0 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 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 50.28 56.45 73.79 35.11 69.04 62.31 4.08 56.95 35.82 7.07 16.44 52.49 -50.28 -56.45 -73.79 -35.11 -69.04 -62.31 -4.08 -56.95 -35.82 -7.07 -16.44 -52.49 2 36.78 56.89 69.33 35.89 45.75 4.08 0.39 39.59 15.11 48.67 45.60 35.95 -36.78 -56.89 -69.33 -35.89 -45.75 -4.08 -0.39 -39.59 -15.11 -48.67 -45.60 -35.95 3 15.06 66.64 29.06 45.29 33.56 21.01 69.81 65.61 6.51 71.07 29.31 7.27 -15.06 -66.64 -29.06 -45.29 -33.56 -21.01 -69.81 -65.61 -6.51 -71.07 -29.31 -7.27 4 58.59 14.15 14.18 3.73 34.68 66.75 21.72 10.32 73.99 12.93 52.60 18.06 -58.59 -14.15 -14.18 -3.73 -34.68 -66.75 -21.72 -10.32 -73.99 -12.93 -52.60 -18.06 5 52.19 34.01 16.89 55.54 26.93 61.98 2.02 32.45 70.74 68.99 26.31 32.01 -52.19 -34.01 -16.89 -55.54 -26.93 -61.98 -2.02 -32.45 -70.74 -68.99 -26.31 -32.01 6 9.89 76.51 37.79 53.64 62.99 21.79 0.96 1.41 49.11 58.63 63.36 78.80 -9.89 -76.51 -37.79 -53.64 -62.99 -21.79 -0.96 -1.41 -49.11 -58.63 -63.36 -78.80 7 38.57 77.75 27.82 48.38 23.20 14.97 28.05 18.51 26.36 18.53 4.76 53.70 -38.57 -77.75 -27.82 -48.38 -23.20 -14.97 -28.05 -18.51 -26.36 -18.53 -4.76 -53.70 8 20.74 78.31 32.44 25.47 26.80 47.96 75.99 14.26 23.73 46.48 19.91 57.33 -20.74 -78.31 -32.44 -25.47 -26.80 -47.96 -75.99 -14.26 -23.73 -46.48 -19.91 -57.33 9 42.12 39.34 25.40 3.57 54.19 4.07 63.40 22.87 49.41 54.57 72.29 17.97 -42.12 -39.34 -25.40 -3.57 -54.19 -4.07 -63.40 -22.87 -49.41 -54.57 -72.29 -17.97 10 3.87 47.75 40.17 64.00 49.79 41.69 53.54 28.74 42.70 33.41 3.60 11.46 -3.87 -47.75 -40.17 -64.00 -49.79 -41.69 -53.54 -28.74 -42.70 -33.41 -3.60 -11.46 11 69.55 16.56 8.92 36.84 9.33 23.57 48.96 60.73 2.44 15.26 70.71 6.60 -69.55 -16.56 -8.92 -36.84 -9.33 -23.57 -48.96 -60.73 -2.44 -15.26 -70.71 -6.60 12 7.51 16.06 51.90 45.00 29.40 68.27 16.15 76.79 5.03 59.89 51.15 15.50 -7.51 -16.06 -51.90 -45.00 -29.40 -68.27 -16.15 -76.79 -5.03 -59.89 -51.15 -15.50 13 31.08 73.01 71.02 11.59 37.22 52.00 53.53 14.98 39.98 50.96 74.92 21.36 -31.08 -73.01 -71.02 -11.59 -37.22 -52.00 -53.53 -14.98 -39.98 -50.96 -74.92 -21.36 14 15.09 38.56 57.54 28.53 3.46 66.32 13.61 52.20 8.27 77.19 2.98 36.57 -15.09 -38.56 -57.54 -28.53 -3.46 -66.32 -13.61 -52.20 -8.27 -77.19 -2.98 -36.57 15 25.12 57.25 70.90 55.46 56.12 51.22 37.44 77.88 61.65 27.06 32.58 2.81 -25.12 -57.25 -70.90 -55.46 -56.12 -51.22 -37.44 -77.88 -61.65 -27.06 -32.58 -2.81 16 15.67 25.20 26.68 56.52 53.52 61.43 6.85 69.17 42.71 70.40 24.25 54.53 -15.67 -25.20 -26.68 -56.52 -53.52 -61.43 -6.85 -69.17 -42.71 -70.40 -24.25 -54.53 17 62.17 39.27 50.84 65.75 63.16 12.18 56.85 63.02 53.08 48.32 49.66 66.85 -62.17 -39.27 -50.84 -65.75 -63.16 -12.18 -56.85 -63.02 -53.08 -48.32 -49.66 -66.85 18 24.36 15.51 75.46 37.35 22.97 3.40 44.55 38.90 61.59 13.30 68.11 58.22 -24.36 -15.51 -75.46 -37.35 -22.97 -3.40 -44.55 -38.90 -61.59 -13.30 -68.11 -58.22 19 21.45 73.54 28.75 27.03 12.77 11.54 48.87 58.07 21.10 15.89 64.56 4.02 -21.45 -73.54 -28.75 -27.03 -12.77 -11.54 -48.87 -58.07 -21.10 -15.89 -64.56 -4.02 20 4.92 38.27 8.58 13.42 26.95 28.06 22.31 78.14 38.65 18.40 56.32 66.77 -4.92 -38.27 -8.58 -13.42 -26.95 -28.06 -22.31 -78.14 -38.65 -18.40 -56.32 -66.77 31 21.12 31.86 34.47 67.59 51.90 66.73 36.46 83.07 90.59 91.77 56.33 25.87 -1.34 -6.70 -5.41 -7.84 -13.14 -18.46 -4.18 -11.83 -8.47 -4.93 -2.01 -8.91 32 64.32 94.00 23.43 64.42 49.96 98.07 52.00 92.60 69.49 45.49 41.50 55.34 -14.25 -7.14 -19.17 -7.04 -1.97 -4.60 -15.45 -8.89 -6.86 -10.25 -3.97 -11.97 33 72.22 91.98 96.26 36.34 87.39 71.94 89.95 90.92 22.53 32.66 59.47 85.27 -1.58 -16.14 -3.69 -1.44 -15.03 -12.69 -7.41 -4.68 -14.61 -11.92 -14.62 -14.62 34 20.08 50.80 74.45 61.36 39.39 95.94 64.83 98.83 43.42 85.67 31.21 94.68 -4.65 -8.73 -9.41 -14.37 -11.07 -10.27 -17.94 -5.25 -14.28 -19.53 -7.93 -13.87 35 43.21 32.53 75.13 65.21 81.61 42.86 93.05 58.28 57.96 62.65 76.21 86.96 -1.60 -18.78 -12.00 -18.50 -9.37 -3.78 -1.49 -10.68 -1.72 -19.86 -18.04 -13.28 36 91.20 65.41 43.18 26.66 81.75 36.44 54.96 97.43 38.09 38.77 30.11 34.46 -19.80 -4.33 -4.09 -11.59 -8.25 -0.77 -3.77 -7.56 -14.27 -13.50 -13.36 -1.96 37 45.29 64.60 73.45 34.38 39.90 38.46 36.57 28.56 32.38 41.34 96.89 82.59 -3.89 -14.91 -1.74 -2.12 -17.49 -14.57 -19.81 -8.08 -4.90 -11.61 -3.66 -16.08 38 47.78 29.11 87.65 49.80 84.72 81.76 41.18 45.35 96.11 65.42 28.28 74.49 -5.70 -7.79 -15.34 -18.38 -13.13 -7.54 -1.60 -12.81 -4.79 -15.13 -12.69 -8.05 39 53.39 78.40 47.49 35.72 74.86 49.46 37.19 67.62 52.62 26.71 64.16 51.52 -8.64 -14.45 -9.15 -11.38 -1.07 -0.46 -3.71 -19.99 -1.92 -5.21 -11.26 -4.96 40 98.69 85.16 74.55 44.41 76.44 36.78 22.71 93.54 58.60 79.49 22.46 23.48 -19.91 -18.78 -4.29 -4.98 -15.94 -12.80 -0.18 -5.35 -9.27 -1.70 -16.28 -13.96 41 57.15 38.84 33.09 25.04 85.76 71.30 52.46 44.66 34.51 22.58 94.19 70.89 -7.14 -15.65 -16.84 -0.49 -6.59 -14.94 -2.86 -6.16 -2.10 -6.44 -11.72 -10.67 42 34.18 22.58 21.34 36.23 87.72 65.23 99.41 78.31 97.77 43.14 96.39 90.88 -5.87 -7.96 -2.50 -8.13 -1.73 -11.56 -7.54 -18.26 -18.99 -16.11 -19.13 -11.05 43 57.61 41.23 52.85 86.47 79.05 38.73 23.44 46.66 94.20 86.24 40.44 60.79 -8.55 -3.32 -7.18 -5.53 -0.30 -11.05 -1.13 -6.02 -4.18 -8.52 -4.63 -6.06 44 20.83 53.73 35.88 48.62 65.36 50.71 21.08 38.23 59.11 83.54 39.94 28.87 -16.76 -6.51 -0.29 -10.55 -4.05 -2.96 -4.07 -15.64 -17.37 -13.65 -3.26 -13.48 45 55.09 43.52 36.63 43.09 54.14 57.98 41.59 26.97 45.38 93.70 65.36 48.75 -4.15 -14.15 -12.96 -1.15 -4.81 -2.31 -12.78 -19.71 -10.73 -12.13 -8.57 -7.42 ; # 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) / 1 222.00 2 32.00 3 281.00 4 205.00 5 94.00 6 150.00 7 78.00 8 234.00 9 233.00 10 280.00 11 288.00 12 93.00 13 23.00 14 49.00 15 226.00 16 12.00 17 237.00 18 34.00 19 281.00 20 199.00 21 90.00 22 59.00 23 78.00 24 123.00 25 111.00 26 103.00 27 134.00 28 53.00 29 174.00 30 133.00 31 128.00 32 273.00 33 203.00 34 46.00 35 40.00 36 120.00 37 211.00 38 185.00 39 65.00 40 222.00 41 278.00 42 102.00 43 157.00 44 168.00 45 275.00 / ; $include xmodel.gms