$ontext sppA3 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 0.00 28.00 0.00 0.00 28.00 28.00 0.00 28.00 0.00 0.00 0.00 0.00 0.00 0.00 -17.00 0.00 0.00 0.00 -15.00 0.00 -21.00 0.00 -21.00 -15.00 0.00 2 13.00 0.00 0.00 13.00 0.00 13.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -31.00 -35.00 0.00 0.00 -29.00 0.00 0.00 0.00 0.00 0.00 3 43.00 0.00 0.00 0.00 0.00 0.00 43.00 0.00 0.00 43.00 -5.00 0.00 0.00 -6.00 0.00 0.00 0.00 -4.00 0.00 0.00 -6.00 0.00 0.00 0.00 0.00 4 0.00 0.00 49.00 49.00 0.00 49.00 49.00 0.00 0.00 0.00 0.00 1.00 0.00 0.00 0.00 5.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5 45.00 45.00 0.00 45.00 0.00 0.00 45.00 45.00 45.00 45.00 0.00 0.00 0.00 -4.00 0.00 0.00 0.00 0.00 0.00 3.00 -4.00 0.00 0.00 0.00 0.00 6 0.00 0.00 0.00 0.00 0.00 0.00 34.00 34.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -10.00 0.00 0.00 -9.00 0.00 -15.00 0.00 0.00 0.00 -15.00 7 30.00 0.00 30.00 0.00 0.00 0.00 30.00 30.00 30.00 0.00 0.00 -18.00 0.00 -19.00 -15.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -13.00 0.00 8 0.00 0.00 0.00 0.00 40.00 40.00 40.00 0.00 40.00 40.00 0.00 0.00 0.00 -9.00 0.00 -4.00 0.00 -7.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 9 0.00 26.00 26.00 26.00 0.00 26.00 26.00 0.00 26.00 26.00 0.00 -22.00 0.00 0.00 0.00 0.00 0.00 -21.00 0.00 -16.00 0.00 0.00 0.00 0.00 0.00 10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 47.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 11 0.00 0.00 0.00 12.00 0.00 12.00 12.00 12.00 0.00 0.00 0.00 0.00 0.00 0.00 -33.00 -32.00 0.00 -35.00 0.00 0.00 -37.00 0.00 -37.00 0.00 0.00 12 0.00 0.00 0.00 0.00 40.00 0.00 40.00 0.00 0.00 40.00 0.00 -8.00 -5.00 0.00 -5.00 -4.00 0.00 0.00 0.00 0.00 -9.00 0.00 0.00 -3.00 -9.00 13 0.00 27.00 27.00 27.00 27.00 0.00 27.00 0.00 0.00 27.00 -21.00 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 0.00 14 0.00 38.00 0.00 38.00 0.00 38.00 38.00 38.00 0.00 0.00 0.00 -10.00 0.00 -11.00 0.00 -6.00 0.00 0.00 -5.00 -4.00 0.00 0.00 0.00 -5.00 -11.00 15 50.00 0.00 0.00 50.00 50.00 50.00 0.00 0.00 0.00 0.00 0.00 2.00 5.00 0.00 0.00 0.00 0.00 0.00 0.00 8.00 0.00 1.00 0.00 0.00 1.00 16 0.00 0.00 34.00 34.00 0.00 34.00 0.00 0.00 34.00 0.00 0.00 0.00 0.00 0.00 0.00 -10.00 0.00 0.00 0.00 -8.00 0.00 0.00 0.00 -9.00 0.00 17 14.00 14.00 14.00 14.00 14.00 0.00 0.00 0.00 0.00 0.00 -34.00 0.00 0.00 0.00 0.00 0.00 -34.00 0.00 0.00 0.00 0.00 0.00 -35.00 0.00 0.00 18 0.00 19.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 19.00 0.00 0.00 0.00 0.00 0.00 0.00 -29.00 0.00 0.00 0.00 0.00 -30.00 0.00 0.00 0.00 19 0.00 0.00 0.00 16.00 0.00 0.00 16.00 16.00 16.00 0.00 0.00 0.00 0.00 0.00 -29.00 0.00 0.00 0.00 0.00 0.00 0.00 -33.00 0.00 0.00 0.00 20 31.00 31.00 0.00 0.00 0.00 0.00 0.00 31.00 31.00 31.00 0.00 -17.00 0.00 0.00 0.00 -13.00 0.00 0.00 0.00 0.00 -18.00 0.00 0.00 0.00 -18.00 21 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 0.00 0.00 -44.00 -48.00 0.00 0.00 -42.00 -49.00 0.00 0.00 0.00 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 0.00 0.00 -49.00 0.00 0.00 -48.00 0.00 -43.00 0.00 0.00 0.00 0.00 0.00 0.00 23 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -48.00 -45.00 0.00 0.00 0.00 0.00 -47.00 -43.00 -42.00 0.00 0.00 -49.00 0.00 -49.00 24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 0.00 -49.00 -45.00 0.00 -48.00 0.00 0.00 -42.00 0.00 0.00 0.00 0.00 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 0.00 -45.00 0.00 0.00 0.00 0.00 -47.00 0.00 0.00 -49.00 -49.00 -49.00 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 0.00 0.00 -45.00 -49.00 0.00 -44.00 0.00 0.00 0.00 0.00 -49.00 -49.00 0.00 -43.00 -49.00 27 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -45.00 0.00 -45.00 -44.00 0.00 0.00 -43.00 -42.00 -49.00 -49.00 -49.00 0.00 -49.00 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 0.00 0.00 0.00 0.00 0.00 -43.00 0.00 -49.00 -49.00 0.00 -43.00 0.00 29 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -48.00 0.00 -49.00 -45.00 -44.00 -48.00 -47.00 0.00 0.00 0.00 0.00 -49.00 -43.00 -49.00 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 -49.00 0.00 0.00 0.00 -47.00 0.00 -42.00 0.00 0.00 0.00 -43.00 -49.00 ; # 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 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 2 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 3 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 4 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 5 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 6 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 7 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 8 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 9 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 10 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 11 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 12 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 1 13 0 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 15 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 16 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 17 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 18 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 19 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 20 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 21 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 22 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 23 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 24 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 26 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 27 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 28 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 29 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 30 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 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 15.60 40.98 73.28 16.51 50.23 15.50 54.26 24.69 28.10 4.97 34.49 41.98 -15.60 -40.98 -73.28 -16.51 -50.23 -15.50 -54.26 -24.69 -28.10 -4.97 -34.49 -41.98 2 36.26 77.91 3.42 25.73 6.63 22.23 66.37 63.22 31.15 2.71 79.20 52.85 -36.26 -77.91 -3.42 -25.73 -6.63 -22.23 -66.37 -63.22 -31.15 -2.71 -79.20 -52.85 3 2.86 22.26 35.35 42.33 12.04 12.03 18.71 50.22 60.58 43.16 56.03 62.41 -2.86 -22.26 -35.35 -42.33 -12.04 -12.03 -18.71 -50.22 -60.58 -43.16 -56.03 -62.41 4 31.81 75.70 77.63 20.05 10.42 48.63 33.94 45.15 42.56 51.14 28.25 8.62 -31.81 -75.70 -77.63 -20.05 -10.42 -48.63 -33.94 -45.15 -42.56 -51.14 -28.25 -8.62 5 15.72 12.67 74.34 19.49 29.20 52.03 55.23 51.74 26.64 29.38 78.62 54.17 -15.72 -12.67 -74.34 -19.49 -29.20 -52.03 -55.23 -51.74 -26.64 -29.38 -78.62 -54.17 6 52.89 37.19 13.38 40.06 58.41 4.21 13.50 58.24 79.22 0.67 2.20 77.53 -52.89 -37.19 -13.38 -40.06 -58.41 -4.21 -13.50 -58.24 -79.22 -0.67 -2.20 -77.53 7 20.28 43.06 15.47 47.22 32.96 16.09 14.80 21.11 5.70 59.27 1.27 49.38 -20.28 -43.06 -15.47 -47.22 -32.96 -16.09 -14.80 -21.11 -5.70 -59.27 -1.27 -49.38 8 21.22 22.66 14.16 27.61 69.89 44.05 37.76 64.89 58.90 77.14 17.66 13.56 -21.22 -22.66 -14.16 -27.61 -69.89 -44.05 -37.76 -64.89 -58.90 -77.14 -17.66 -13.56 9 9.57 14.08 17.84 72.46 75.31 35.76 71.14 76.45 40.86 60.97 36.30 1.45 -9.57 -14.08 -17.84 -72.46 -75.31 -35.76 -71.14 -76.45 -40.86 -60.97 -36.30 -1.45 10 77.89 71.64 46.68 51.01 64.50 19.92 58.28 14.07 58.91 78.27 43.65 1.59 -77.89 -71.64 -46.68 -51.01 -64.50 -19.92 -58.28 -14.07 -58.91 -78.27 -43.65 -1.59 11 13.90 11.43 64.85 51.00 33.11 55.87 50.49 21.82 39.83 47.25 4.36 65.08 -13.90 -11.43 -64.85 -51.00 -33.11 -55.87 -50.49 -21.82 -39.83 -47.25 -4.36 -65.08 12 9.21 67.57 35.02 25.35 36.64 73.19 14.58 61.58 45.28 3.84 54.14 26.48 -9.21 -67.57 -35.02 -25.35 -36.64 -73.19 -14.58 -61.58 -45.28 -3.84 -54.14 -26.48 13 58.51 44.09 70.23 59.84 57.94 48.36 68.91 7.20 29.97 12.25 51.73 70.03 -58.51 -44.09 -70.23 -59.84 -57.94 -48.36 -68.91 -7.20 -29.97 -12.25 -51.73 -70.03 14 67.38 75.08 39.02 6.99 23.87 38.81 65.52 19.92 65.21 66.29 71.24 34.67 -67.38 -75.08 -39.02 -6.99 -23.87 -38.81 -65.52 -19.92 -65.21 -66.29 -71.24 -34.67 15 60.54 48.01 32.45 70.48 49.19 22.75 68.93 26.24 75.79 57.83 60.44 45.52 -60.54 -48.01 -32.45 -70.48 -49.19 -22.75 -68.93 -26.24 -75.79 -57.83 -60.44 -45.52 16 18.82 21.98 75.43 40.62 11.09 15.96 48.89 49.25 68.01 27.45 1.81 35.08 -18.82 -21.98 -75.43 -40.62 -11.09 -15.96 -48.89 -49.25 -68.01 -27.45 -1.81 -35.08 17 18.05 68.33 16.47 37.11 65.66 40.89 40.11 14.62 20.15 8.14 40.72 58.97 -18.05 -68.33 -16.47 -37.11 -65.66 -40.89 -40.11 -14.62 -20.15 -8.14 -40.72 -58.97 18 62.45 62.02 65.73 65.00 18.29 16.52 47.04 70.19 21.83 74.35 48.36 76.28 -62.45 -62.02 -65.73 -65.00 -18.29 -16.52 -47.04 -70.19 -21.83 -74.35 -48.36 -76.28 19 42.66 11.68 25.93 44.73 25.43 32.61 78.55 44.11 22.13 51.55 32.12 26.04 -42.66 -11.68 -25.93 -44.73 -25.43 -32.61 -78.55 -44.11 -22.13 -51.55 -32.12 -26.04 20 67.90 27.03 77.46 18.41 23.04 5.71 45.17 35.07 13.42 1.36 70.16 54.33 -67.90 -27.03 -77.46 -18.41 -23.04 -5.71 -45.17 -35.07 -13.42 -1.36 -70.16 -54.33 31 94.87 99.72 29.85 27.70 86.16 75.31 30.75 68.00 27.14 91.94 98.50 56.69 -15.79 -1.38 -12.70 -15.30 -9.01 -11.54 -17.09 -6.92 -8.09 -19.26 -13.40 -12.67 32 52.29 62.51 83.78 63.46 32.37 63.62 87.79 28.83 64.66 52.67 80.03 91.41 -17.00 -14.00 -11.58 -6.89 -17.53 -4.96 -18.97 -19.63 -18.83 -16.98 -0.95 -17.70 33 79.55 38.96 68.72 23.12 36.18 28.81 48.48 58.92 76.43 43.87 72.58 72.52 -15.26 -13.72 -3.57 -15.87 -1.69 -12.93 -3.34 -14.68 -8.28 -17.11 -8.66 -15.63 34 77.11 55.70 56.94 41.56 69.76 78.36 24.80 40.31 70.73 59.74 91.95 70.95 -15.57 -13.97 -11.03 -3.42 -14.74 -6.19 -16.84 -9.78 -4.94 -7.62 -10.62 -13.30 35 61.35 23.79 69.56 53.95 73.36 87.43 85.61 62.61 62.70 43.11 24.79 26.14 -12.54 -16.90 -19.95 -10.55 -5.62 -16.95 -17.51 -0.49 -8.45 -15.59 -7.17 -8.86 36 42.15 29.90 95.18 82.30 95.62 71.76 87.63 95.23 55.28 51.83 87.73 72.64 -17.08 -15.85 -3.27 -1.77 -8.96 -10.87 -13.66 -15.86 -2.62 -6.16 -0.32 -2.48 37 23.85 38.62 43.26 62.32 62.65 96.11 21.53 68.38 49.94 21.15 75.35 49.89 -10.08 -6.76 -13.14 -7.48 -5.61 -10.22 -13.48 -19.28 -3.37 -1.80 -9.11 -3.64 38 91.22 51.45 27.31 97.41 34.41 25.55 34.43 96.87 47.50 28.27 36.71 35.83 -18.54 -9.63 -9.97 -11.64 -17.76 -8.95 -18.01 -12.20 -3.49 -9.20 -0.34 -4.84 39 48.69 92.35 90.69 37.80 91.03 49.00 21.99 59.52 80.63 79.85 80.80 68.46 -3.13 -1.87 -5.61 -11.85 -17.63 -3.51 -2.00 -11.41 -10.11 -4.46 -12.79 -17.74 40 75.86 81.88 99.95 90.55 51.29 52.12 33.51 78.37 93.23 93.41 35.02 96.01 -5.32 -12.77 -13.34 -18.26 -13.12 -13.03 -10.53 -9.21 -19.68 -14.65 -2.11 -2.09 41 33.80 55.34 86.83 50.29 97.23 62.53 70.27 97.93 69.98 45.74 49.99 29.62 -18.58 -12.48 -15.86 -19.66 -10.69 -9.09 -4.73 -7.18 -18.84 -1.89 -19.93 -15.37 42 75.99 90.39 81.92 96.86 57.56 34.16 96.22 31.49 44.79 52.79 32.09 37.99 -4.45 -14.24 -4.33 -6.47 -13.85 -18.23 -7.48 -2.23 -18.78 -3.58 -5.37 -9.32 43 30.73 97.08 97.75 21.24 83.27 38.09 65.96 57.56 98.93 90.36 92.33 93.65 -6.94 -1.89 -2.98 -17.15 -13.80 -16.34 -9.51 -17.48 -9.35 -2.57 -2.92 -4.44 44 77.37 51.59 84.06 98.49 63.61 92.06 61.11 69.20 38.00 67.93 56.44 58.33 -3.42 -6.65 -3.92 -4.71 -18.56 -0.24 -5.89 -6.44 -13.10 -0.18 -16.39 -4.72 45 99.80 72.00 80.39 80.49 51.55 36.63 55.32 48.48 29.45 80.71 65.23 59.80 -9.63 -11.91 -12.59 -12.50 -2.61 -1.47 -14.07 -17.12 -16.04 -12.26 -16.55 -10.60 ; # 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 69.00 2 183.00 3 246.00 4 283.00 5 146.00 6 177.00 7 271.00 8 291.00 9 129.00 10 277.00 11 93.00 12 81.00 13 197.00 14 237.00 15 207.00 16 79.00 17 48.00 18 122.00 19 200.00 20 247.00 21 72.00 22 106.00 23 174.00 24 145.00 25 161.00 26 93.00 27 72.00 28 200.00 29 63.00 30 122.00 31 284.00 32 169.00 33 163.00 34 257.00 35 147.00 36 198.00 37 231.00 38 277.00 39 278.00 40 247.00 41 262.00 42 139.00 43 289.00 44 30.00 45 76.00 / ; $include xmodel.gms