$ontext sppA6 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 0.00 40.00 40.00 40.00 40.00 40.00 40.00 40.00 40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -5.00 0.00 0.00 0.00 -2.00 0.00 0.00 2 0.00 0.00 44.00 0.00 0.00 0.00 0.00 44.00 44.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 1.00 0.00 0.00 0.00 0.00 4.00 0.00 0.00 4.00 3 30.00 30.00 30.00 30.00 30.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -19.00 -19.00 -14.00 0.00 -13.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 4 20.00 0.00 20.00 20.00 0.00 0.00 0.00 20.00 20.00 20.00 0.00 -29.00 0.00 0.00 -24.00 0.00 -23.00 -23.00 0.00 0.00 0.00 0.00 0.00 0.00 -20.00 5 16.00 0.00 16.00 0.00 16.00 0.00 0.00 0.00 0.00 0.00 0.00 -33.00 0.00 0.00 -28.00 0.00 0.00 -27.00 0.00 -32.00 -27.00 -24.00 0.00 -34.00 0.00 6 35.00 0.00 35.00 35.00 35.00 35.00 0.00 35.00 0.00 35.00 0.00 -14.00 0.00 0.00 -9.00 0.00 0.00 -8.00 0.00 0.00 0.00 0.00 -7.00 0.00 0.00 7 15.00 0.00 15.00 15.00 15.00 15.00 0.00 0.00 0.00 15.00 -32.00 0.00 0.00 0.00 0.00 -34.00 0.00 -28.00 0.00 -33.00 0.00 0.00 0.00 -35.00 0.00 8 0.00 37.00 37.00 0.00 37.00 37.00 0.00 37.00 37.00 0.00 0.00 -12.00 0.00 0.00 -7.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -13.00 -3.00 9 12.00 0.00 0.00 12.00 0.00 0.00 12.00 12.00 12.00 12.00 -35.00 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 10 0.00 21.00 21.00 0.00 21.00 0.00 0.00 21.00 21.00 21.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -22.00 -24.00 0.00 0.00 -19.00 0.00 0.00 0.00 11 0.00 38.00 38.00 0.00 38.00 0.00 38.00 38.00 0.00 38.00 0.00 0.00 0.00 0.00 0.00 -11.00 0.00 0.00 0.00 0.00 -5.00 0.00 -4.00 0.00 0.00 12 44.00 0.00 44.00 44.00 0.00 44.00 44.00 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 1.00 4.00 0.00 0.00 0.00 13 0.00 0.00 0.00 22.00 22.00 22.00 0.00 0.00 22.00 22.00 0.00 0.00 -27.00 -27.00 0.00 -27.00 0.00 0.00 0.00 -26.00 0.00 -18.00 0.00 0.00 0.00 14 45.00 45.00 45.00 0.00 45.00 0.00 45.00 45.00 0.00 0.00 -2.00 0.00 0.00 -4.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 5.00 15 11.00 11.00 0.00 11.00 0.00 11.00 11.00 0.00 11.00 11.00 0.00 0.00 0.00 0.00 0.00 0.00 -32.00 -32.00 -34.00 -37.00 0.00 0.00 0.00 0.00 0.00 16 49.00 49.00 49.00 49.00 0.00 49.00 49.00 49.00 0.00 49.00 0.00 0.00 0.00 0.00 5.00 0.00 6.00 6.00 4.00 0.00 6.00 0.00 0.00 0.00 9.00 17 18.00 18.00 18.00 0.00 0.00 18.00 18.00 18.00 18.00 18.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -27.00 0.00 0.00 0.00 0.00 0.00 0.00 18 0.00 0.00 11.00 0.00 11.00 0.00 11.00 0.00 11.00 0.00 0.00 -38.00 0.00 0.00 -33.00 -38.00 -32.00 0.00 0.00 0.00 0.00 0.00 0.00 -39.00 0.00 19 50.00 50.00 50.00 0.00 50.00 0.00 0.00 50.00 50.00 0.00 3.00 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 20 50.00 50.00 50.00 50.00 50.00 0.00 50.00 50.00 50.00 50.00 3.00 0.00 0.00 0.00 0.00 0.00 7.00 7.00 0.00 0.00 0.00 0.00 0.00 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 -47.00 0.00 -49.00 -49.00 -44.00 0.00 -43.00 -43.00 -45.00 -48.00 0.00 0.00 -42.00 -50.00 0.00 22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -49.00 -49.00 -49.00 -44.00 -49.00 -43.00 -43.00 0.00 -48.00 -43.00 0.00 0.00 -50.00 -40.00 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 -49.00 0.00 -44.00 0.00 0.00 -43.00 -45.00 -48.00 -43.00 -40.00 -42.00 -50.00 -40.00 24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -47.00 0.00 -49.00 0.00 -44.00 0.00 -43.00 -43.00 -45.00 -48.00 -43.00 0.00 0.00 0.00 -40.00 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 -49.00 -49.00 -44.00 0.00 -43.00 0.00 -45.00 0.00 -43.00 0.00 -42.00 -50.00 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 -49.00 -49.00 0.00 -44.00 0.00 0.00 0.00 0.00 -48.00 -43.00 -40.00 0.00 0.00 0.00 27 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 -49.00 0.00 -49.00 -43.00 0.00 -45.00 0.00 -43.00 -40.00 -42.00 -50.00 0.00 28 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 -49.00 -44.00 0.00 -43.00 -43.00 -45.00 0.00 -43.00 -40.00 0.00 0.00 -40.00 29 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 -44.00 -49.00 -43.00 0.00 -45.00 0.00 0.00 0.00 0.00 -50.00 -40.00 30 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -47.00 -49.00 -49.00 0.00 -44.00 -49.00 -43.00 -43.00 0.00 -48.00 0.00 0.00 0.00 0.00 -40.00 ; # 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 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 2 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 3 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 4 1 0 1 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 5 1 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 6 1 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 7 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 8 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 9 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 11 0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 12 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 13 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 0 14 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 15 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 16 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 17 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 18 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 19 1 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 21 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 22 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 23 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 24 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 25 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 26 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 27 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 28 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1 29 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 1 30 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 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 62.38 45.78 60.18 52.90 58.53 41.56 60.58 36.64 44.15 51.80 23.24 35.12 -62.38 -45.78 -60.18 -52.90 -58.53 -41.56 -60.58 -36.64 -44.15 -51.80 -23.24 -35.12 2 45.55 2.67 12.69 28.86 32.82 30.24 43.54 7.54 13.42 40.11 79.22 24.72 -45.55 -2.67 -12.69 -28.86 -32.82 -30.24 -43.54 -7.54 -13.42 -40.11 -79.22 -24.72 3 48.91 21.19 4.27 22.88 17.06 62.70 33.49 30.95 56.58 25.25 55.44 58.79 -48.91 -21.19 -4.27 -22.88 -17.06 -62.70 -33.49 -30.95 -56.58 -25.25 -55.44 -58.79 4 9.88 49.94 9.00 16.71 3.38 51.04 39.55 55.37 64.01 21.96 78.91 67.37 -9.88 -49.94 -9.00 -16.71 -3.38 -51.04 -39.55 -55.37 -64.01 -21.96 -78.91 -67.37 5 60.30 70.68 14.10 22.33 38.25 46.33 47.89 58.60 4.08 5.31 37.00 15.63 -60.30 -70.68 -14.10 -22.33 -38.25 -46.33 -47.89 -58.60 -4.08 -5.31 -37.00 -15.63 6 61.83 32.50 66.41 60.89 64.50 45.41 41.92 34.61 9.12 68.21 54.63 46.37 -61.83 -32.50 -66.41 -60.89 -64.50 -45.41 -41.92 -34.61 -9.12 -68.21 -54.63 -46.37 7 51.94 15.66 24.26 63.31 19.13 38.63 73.13 74.54 66.02 1.69 4.30 15.82 -51.94 -15.66 -24.26 -63.31 -19.13 -38.63 -73.13 -74.54 -66.02 -1.69 -4.30 -15.82 8 25.67 77.93 59.58 60.42 4.17 26.26 12.63 3.40 47.84 74.03 5.56 37.73 -25.67 -77.93 -59.58 -60.42 -4.17 -26.26 -12.63 -3.40 -47.84 -74.03 -5.56 -37.73 9 39.05 34.76 14.12 1.94 7.54 21.47 34.82 2.31 56.87 25.30 9.95 21.62 -39.05 -34.76 -14.12 -1.94 -7.54 -21.47 -34.82 -2.31 -56.87 -25.30 -9.95 -21.62 10 9.38 53.30 44.09 74.79 24.04 75.82 13.43 66.08 60.41 42.00 19.83 58.93 -9.38 -53.30 -44.09 -74.79 -24.04 -75.82 -13.43 -66.08 -60.41 -42.00 -19.83 -58.93 11 17.36 1.25 23.91 76.87 41.06 60.67 49.03 11.24 53.34 15.89 3.76 9.55 -17.36 -1.25 -23.91 -76.87 -41.06 -60.67 -49.03 -11.24 -53.34 -15.89 -3.76 -9.55 12 45.23 19.45 39.47 19.60 45.42 41.42 77.40 60.92 66.77 78.71 54.64 12.99 -45.23 -19.45 -39.47 -19.60 -45.42 -41.42 -77.40 -60.92 -66.77 -78.71 -54.64 -12.99 13 2.74 28.63 36.87 62.81 21.26 29.06 70.72 51.32 42.49 50.82 37.42 55.74 -2.74 -28.63 -36.87 -62.81 -21.26 -29.06 -70.72 -51.32 -42.49 -50.82 -37.42 -55.74 14 15.85 39.87 77.81 13.97 38.01 19.66 57.24 16.77 56.96 51.61 14.91 37.49 -15.85 -39.87 -77.81 -13.97 -38.01 -19.66 -57.24 -16.77 -56.96 -51.61 -14.91 -37.49 15 7.71 29.07 39.14 38.81 14.45 63.67 47.85 7.31 25.36 30.51 28.05 64.61 -7.71 -29.07 -39.14 -38.81 -14.45 -63.67 -47.85 -7.31 -25.36 -30.51 -28.05 -64.61 16 2.75 8.27 51.73 45.45 20.13 23.16 66.63 6.60 73.30 42.27 44.01 15.50 -2.75 -8.27 -51.73 -45.45 -20.13 -23.16 -66.63 -6.60 -73.30 -42.27 -44.01 -15.50 17 55.07 4.68 72.16 14.60 79.73 12.63 11.90 28.12 45.96 13.91 71.94 66.69 -55.07 -4.68 -72.16 -14.60 -79.73 -12.63 -11.90 -28.12 -45.96 -13.91 -71.94 -66.69 18 15.85 77.37 7.30 14.85 7.17 63.86 59.56 34.01 38.47 33.10 24.80 4.99 -15.85 -77.37 -7.30 -14.85 -7.17 -63.86 -59.56 -34.01 -38.47 -33.10 -24.80 -4.99 19 30.01 13.87 33.91 68.69 11.18 11.11 33.14 29.45 28.36 62.07 12.98 24.67 -30.01 -13.87 -33.91 -68.69 -11.18 -11.11 -33.14 -29.45 -28.36 -62.07 -12.98 -24.67 20 21.81 18.12 77.71 67.98 30.33 34.60 18.47 44.41 15.34 73.93 51.39 70.08 -21.81 -18.12 -77.71 -67.98 -30.33 -34.60 -18.47 -44.41 -15.34 -73.93 -51.39 -70.08 31 45.26 58.46 91.04 29.15 91.19 44.60 30.38 77.26 74.98 70.30 71.80 66.70 -12.29 -1.36 -0.80 -7.57 -11.47 -9.31 -15.84 -14.30 -3.80 -0.24 -0.44 -6.87 32 27.51 94.99 90.49 56.74 83.19 56.57 99.58 56.46 38.20 81.61 66.64 25.82 -11.36 -13.00 -10.11 -3.32 -2.62 -16.40 -16.40 -4.00 -18.33 -2.69 -18.04 -13.06 33 25.63 83.97 60.84 95.09 54.27 77.28 48.23 39.12 23.36 48.55 71.35 33.94 -0.33 -7.62 -9.49 -0.69 -7.62 -19.34 -5.42 -4.02 -2.09 -13.56 -12.33 -5.06 34 82.27 41.50 67.77 56.76 72.05 67.28 49.00 70.96 49.31 82.90 83.16 40.06 -8.19 -15.20 -16.40 -10.96 -8.17 -18.81 -3.24 -9.01 -0.78 -0.75 -15.32 -0.28 35 44.65 24.33 43.89 26.81 24.99 20.18 42.87 32.95 76.00 56.69 48.37 92.02 -16.59 -1.77 -12.79 -4.89 -9.63 -14.16 -1.95 -12.96 -19.66 -6.14 -1.49 -3.44 36 28.25 85.39 58.98 41.31 74.57 97.61 37.40 43.65 89.65 28.35 36.33 65.79 -13.99 -6.67 -11.34 -12.14 -16.13 -6.12 -6.23 -16.62 -11.26 -16.73 -7.85 -13.59 37 35.83 72.63 28.80 24.61 55.45 78.72 82.42 69.41 33.09 82.03 85.70 35.47 -7.67 -6.46 -14.97 -11.03 -16.79 -11.23 -13.92 -7.24 -13.36 -4.27 -14.68 -0.17 38 67.32 42.14 50.79 49.22 76.04 64.48 48.00 28.51 92.15 89.52 92.01 52.19 -7.34 -2.99 -18.56 -18.36 -19.19 -0.45 -5.76 -7.16 -4.70 -10.39 -7.93 -8.23 39 93.82 60.87 56.98 75.04 69.30 63.76 99.63 48.70 78.45 83.27 27.08 22.24 -0.92 -5.98 -7.75 -13.49 -14.11 -7.14 -10.98 -15.66 -18.08 -0.33 -15.68 -13.85 40 67.94 95.51 44.66 52.61 76.30 23.23 80.85 41.98 65.00 69.82 30.53 75.15 -18.09 -18.03 -16.68 -13.29 -14.55 -7.74 -4.31 -2.31 -0.24 -10.04 -16.56 -15.52 41 39.24 44.49 38.24 64.20 44.80 58.18 71.60 60.54 63.78 99.36 98.25 78.79 -16.74 -0.68 -18.21 -0.97 -16.34 -7.04 -15.69 -8.41 -14.50 -19.43 -9.76 -8.46 42 44.21 65.22 61.68 34.49 95.87 64.18 71.08 44.91 42.48 57.37 75.24 62.49 -19.90 -1.41 -18.66 -16.44 -1.51 -11.46 -14.26 -12.98 -8.30 -5.85 -13.31 -15.39 43 40.27 68.10 30.86 63.15 23.04 80.41 32.19 22.76 67.91 50.90 24.17 65.76 -2.37 -5.06 -1.61 -1.90 -2.11 -4.75 -4.09 -6.71 -1.50 -18.09 -17.21 -8.70 44 74.62 55.67 98.52 89.82 41.14 29.11 86.43 41.90 92.35 49.82 28.25 37.42 -5.01 -6.28 -9.43 -4.28 -15.60 -4.35 -1.58 -6.41 -14.65 -3.18 -13.25 -11.54 45 55.83 56.43 48.36 99.48 84.37 40.34 98.33 45.66 91.19 72.78 96.73 71.89 -15.64 -17.69 -17.54 -6.77 -5.80 -3.33 -9.13 -4.29 -7.08 -7.33 -16.68 -14.16 ; # 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) / 1 285.00 2 255.00 3 63.00 4 140.00 5 197.00 6 121.00 7 64.00 8 219.00 9 302.00 10 215.00 11 285.00 12 242.00 13 220.00 14 33.00 15 108.00 16 234.00 17 30.00 18 62.00 19 63.00 20 233.00 21 87.00 22 98.00 23 183.00 24 88.00 25 131.00 26 184.00 27 144.00 28 75.00 29 81.00 30 152.00 31 21.00 32 138.00 33 25.00 34 83.00 35 251.00 36 284.00 37 73.00 38 164.00 39 145.00 40 74.00 41 224.00 42 169.00 43 9.00 44 85.00 45 262.00 / ; $include xmodel.gms