$ontext sppA1 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 11.00 11.00 0.00 0.00 11.00 0.00 11.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -34.00 -35.00 -35.00 0.00 0.00 0.00 0.00 0.00 2 0.00 0.00 0.00 0.00 37.00 0.00 0.00 37.00 0.00 37.00 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 -11.00 0.00 3 0.00 0.00 0.00 13.00 0.00 13.00 13.00 13.00 13.00 0.00 -29.00 0.00 -27.00 0.00 0.00 -36.00 0.00 0.00 0.00 0.00 -27.00 -36.00 0.00 0.00 0.00 4 0.00 0.00 33.00 0.00 33.00 0.00 0.00 33.00 0.00 0.00 0.00 0.00 -7.00 0.00 0.00 0.00 -14.00 -12.00 0.00 0.00 0.00 0.00 0.00 0.00 -9.00 5 10.00 0.00 0.00 10.00 10.00 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00 0.00 -39.00 0.00 0.00 0.00 0.00 0.00 0.00 -37.00 0.00 0.00 6 0.00 29.00 0.00 0.00 29.00 29.00 0.00 29.00 29.00 0.00 0.00 0.00 -11.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 7 0.00 0.00 24.00 24.00 24.00 0.00 0.00 0.00 24.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -23.00 0.00 0.00 0.00 -16.00 0.00 0.00 0.00 0.00 8 0.00 0.00 0.00 27.00 27.00 0.00 0.00 0.00 27.00 0.00 0.00 0.00 0.00 0.00 -22.00 0.00 0.00 0.00 -19.00 0.00 0.00 -22.00 0.00 0.00 -15.00 9 0.00 47.00 47.00 47.00 0.00 47.00 0.00 47.00 0.00 0.00 0.00 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 10 0.00 0.00 44.00 0.00 0.00 44.00 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 0.00 0.00 -5.00 0.00 0.00 0.00 11 12.00 12.00 0.00 0.00 12.00 0.00 0.00 12.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -34.00 0.00 -37.00 0.00 0.00 0.00 12 0.00 29.00 29.00 0.00 0.00 29.00 0.00 29.00 29.00 0.00 0.00 0.00 0.00 -12.00 0.00 0.00 -18.00 0.00 0.00 -17.00 0.00 0.00 -18.00 0.00 0.00 13 0.00 0.00 27.00 0.00 27.00 0.00 0.00 27.00 27.00 27.00 0.00 0.00 0.00 0.00 0.00 0.00 -20.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 14 0.00 30.00 30.00 0.00 30.00 0.00 0.00 30.00 0.00 0.00 0.00 0.00 -10.00 0.00 0.00 -19.00 -17.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 15 49.00 0.00 0.00 0.00 0.00 49.00 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 9.00 0.00 0.00 0.00 0.00 16 0.00 0.00 0.00 0.00 42.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -7.00 0.00 0.00 0.00 0.00 0.00 2.00 -7.00 0.00 0.00 0.00 17 0.00 0.00 0.00 0.00 18.00 18.00 18.00 0.00 18.00 18.00 0.00 -25.00 0.00 0.00 0.00 0.00 0.00 0.00 -28.00 0.00 -22.00 0.00 0.00 0.00 0.00 18 0.00 0.00 11.00 0.00 11.00 11.00 0.00 11.00 11.00 11.00 0.00 -32.00 0.00 0.00 -38.00 0.00 -36.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 19 0.00 0.00 36.00 0.00 0.00 0.00 0.00 36.00 36.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -11.00 0.00 0.00 -10.00 0.00 0.00 -11.00 -12.00 0.00 20 0.00 15.00 15.00 15.00 0.00 0.00 0.00 15.00 15.00 0.00 0.00 0.00 -25.00 -26.00 0.00 -34.00 0.00 0.00 0.00 0.00 0.00 -34.00 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 0.00 -43.00 -40.00 -41.00 -49.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 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 0.00 0.00 -40.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -49.00 0.00 0.00 0.00 23 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 0.00 0.00 -47.00 0.00 0.00 -46.00 -40.00 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 0.00 0.00 0.00 -41.00 -49.00 0.00 -47.00 0.00 0.00 -46.00 -40.00 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 -43.00 -40.00 -41.00 -49.00 0.00 -47.00 0.00 -46.00 0.00 -40.00 0.00 0.00 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 -43.00 0.00 -41.00 0.00 0.00 0.00 -45.00 0.00 -46.00 -40.00 0.00 0.00 -48.00 -42.00 27 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -42.00 -43.00 0.00 -41.00 0.00 0.00 -47.00 0.00 -46.00 0.00 0.00 0.00 0.00 0.00 -42.00 28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -43.00 -40.00 0.00 -49.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -48.00 -42.00 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 0.00 -41.00 0.00 -49.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 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 -49.00 0.00 -47.00 0.00 0.00 -46.00 -40.00 -49.00 0.00 -48.00 0.00 ; # 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 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 2 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 4 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 5 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 6 0 1 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 8 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 9 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 10 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 11 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 12 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 13 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 14 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 15 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 16 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 17 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 18 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 19 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 20 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 21 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 22 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 24 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 26 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 27 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 28 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 29 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 0 ; # 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 73.04 28.87 61.46 47.13 28.69 51.63 21.80 15.67 79.06 21.29 17.68 26.04 -73.04 -28.87 -61.46 -47.13 -28.69 -51.63 -21.80 -15.67 -79.06 -21.29 -17.68 -26.04 2 63.05 16.50 10.64 78.75 3.16 30.03 58.63 8.66 62.92 51.17 1.04 0.28 -63.05 -16.50 -10.64 -78.75 -3.16 -30.03 -58.63 -8.66 -62.92 -51.17 -1.04 -0.28 3 49.77 77.59 50.81 48.66 10.00 38.19 57.75 31.75 17.11 62.63 44.51 12.58 -49.77 -77.59 -50.81 -48.66 -10.00 -38.19 -57.75 -31.75 -17.11 -62.63 -44.51 -12.58 4 61.62 53.63 55.56 40.49 75.28 5.53 0.78 33.95 4.96 36.69 44.75 5.47 -61.62 -53.63 -55.56 -40.49 -75.28 -5.53 -0.78 -33.95 -4.96 -36.69 -44.75 -5.47 5 50.06 6.43 24.35 77.76 64.85 22.99 29.11 46.13 73.27 60.76 77.24 71.59 -50.06 -6.43 -24.35 -77.76 -64.85 -22.99 -29.11 -46.13 -73.27 -60.76 -77.24 -71.59 6 35.36 49.83 55.81 32.59 22.66 4.65 25.42 69.47 44.18 20.13 60.91 16.84 -35.36 -49.83 -55.81 -32.59 -22.66 -4.65 -25.42 -69.47 -44.18 -20.13 -60.91 -16.84 7 29.29 31.70 21.33 67.24 49.64 32.31 50.55 18.58 37.37 34.76 48.17 23.38 -29.29 -31.70 -21.33 -67.24 -49.64 -32.31 -50.55 -18.58 -37.37 -34.76 -48.17 -23.38 8 13.76 66.62 47.31 55.35 1.46 40.85 26.81 36.62 30.84 64.17 32.73 5.75 -13.76 -66.62 -47.31 -55.35 -1.46 -40.85 -26.81 -36.62 -30.84 -64.17 -32.73 -5.75 9 38.13 64.13 54.64 11.79 79.39 63.02 71.09 15.60 34.07 41.32 25.53 68.21 -38.13 -64.13 -54.64 -11.79 -79.39 -63.02 -71.09 -15.60 -34.07 -41.32 -25.53 -68.21 10 26.51 46.48 66.24 21.00 49.62 16.20 33.27 49.59 47.09 31.99 62.53 48.27 -26.51 -46.48 -66.24 -21.00 -49.62 -16.20 -33.27 -49.59 -47.09 -31.99 -62.53 -48.27 11 26.79 43.80 66.28 62.18 46.35 44.48 52.25 59.89 52.94 72.24 39.03 78.16 -26.79 -43.80 -66.28 -62.18 -46.35 -44.48 -52.25 -59.89 -52.94 -72.24 -39.03 -78.16 12 72.77 16.57 16.33 46.62 25.91 9.47 56.15 13.48 79.30 58.49 1.81 60.00 -72.77 -16.57 -16.33 -46.62 -25.91 -9.47 -56.15 -13.48 -79.30 -58.49 -1.81 -60.00 13 14.13 14.09 48.20 4.71 14.55 23.80 28.29 15.58 64.28 43.96 33.26 26.95 -14.13 -14.09 -48.20 -4.71 -14.55 -23.80 -28.29 -15.58 -64.28 -43.96 -33.26 -26.95 14 21.41 22.91 37.79 56.31 42.14 13.22 46.50 34.96 49.20 24.17 76.03 46.59 -21.41 -22.91 -37.79 -56.31 -42.14 -13.22 -46.50 -34.96 -49.20 -24.17 -76.03 -46.59 15 56.41 27.78 0.22 72.13 46.37 53.65 20.27 11.41 32.78 11.36 69.94 37.14 -56.41 -27.78 -0.22 -72.13 -46.37 -53.65 -20.27 -11.41 -32.78 -11.36 -69.94 -37.14 16 14.47 37.10 47.62 41.39 35.46 78.53 47.10 65.70 49.92 24.24 69.51 33.35 -14.47 -37.10 -47.62 -41.39 -35.46 -78.53 -47.10 -65.70 -49.92 -24.24 -69.51 -33.35 17 15.25 58.13 17.32 54.78 78.67 32.78 62.33 67.22 78.45 60.16 73.16 9.29 -15.25 -58.13 -17.32 -54.78 -78.67 -32.78 -62.33 -67.22 -78.45 -60.16 -73.16 -9.29 18 20.01 51.02 0.45 34.09 37.78 70.77 33.41 26.48 79.14 40.71 27.48 6.53 -20.01 -51.02 -0.45 -34.09 -37.78 -70.77 -33.41 -26.48 -79.14 -40.71 -27.48 -6.53 19 6.49 54.69 36.33 10.50 4.06 47.58 22.89 61.03 49.01 61.54 41.98 70.18 -6.49 -54.69 -36.33 -10.50 -4.06 -47.58 -22.89 -61.03 -49.01 -61.54 -41.98 -70.18 20 11.22 75.25 35.42 63.76 6.36 51.47 79.50 34.97 44.92 48.93 41.37 74.82 -11.22 -75.25 -35.42 -63.76 -6.36 -51.47 -79.50 -34.97 -44.92 -48.93 -41.37 -74.82 31 59.29 34.11 95.41 61.20 35.15 27.78 20.92 88.92 37.04 57.21 54.16 31.88 -2.88 -14.48 -16.91 -17.48 -2.30 -17.11 -6.21 -8.06 -15.06 -2.41 -15.67 -14.31 32 76.43 28.61 34.50 84.16 59.76 75.40 56.68 62.18 40.30 99.62 46.90 79.91 -19.31 -16.42 -7.21 -11.50 -6.08 -0.24 -11.40 -10.70 -5.23 -5.11 -7.57 -10.95 33 88.93 45.80 68.37 54.06 53.13 69.55 34.03 79.29 32.89 22.32 33.81 21.31 -2.50 -7.21 -12.55 -4.56 -8.90 -2.07 -12.04 -15.85 -2.64 -1.80 -19.60 -16.01 34 98.77 67.99 61.45 57.89 23.57 55.50 27.99 69.07 81.06 88.66 98.22 92.09 -9.31 -9.51 -11.04 -6.02 -5.63 -15.87 -10.43 -14.34 -11.52 -0.55 -8.87 -1.74 35 27.29 80.20 51.61 91.24 41.13 69.01 26.96 64.64 98.01 41.15 80.32 58.33 -16.80 -9.79 -9.70 -16.95 -19.69 -7.79 -13.76 -14.09 -10.75 -19.00 -14.14 -16.67 36 95.37 84.84 97.75 22.76 49.41 54.34 91.85 49.23 44.85 78.24 34.22 66.49 -8.23 -18.41 -9.90 -9.52 -8.35 -12.59 -19.38 -5.45 -10.05 -14.54 -11.65 -9.08 37 83.88 33.30 61.36 44.76 83.78 78.96 72.74 30.43 49.28 82.32 54.94 66.59 -10.57 -6.15 -4.98 -8.80 -2.88 -11.70 -7.84 -15.02 -13.42 -2.30 -3.86 -8.35 38 45.04 23.74 41.20 29.05 21.00 34.22 82.40 74.52 42.48 65.42 41.70 46.46 -18.75 -2.48 -0.23 -15.35 -1.28 -15.05 -10.13 -7.79 -9.94 -8.08 -4.27 -0.36 39 24.84 68.92 54.87 45.94 44.72 92.47 71.84 83.53 87.75 69.25 29.37 95.48 -3.20 -7.02 -4.68 -11.23 -15.27 -15.75 -12.66 -14.11 -16.47 -12.12 -2.08 -12.52 40 82.50 92.26 82.35 90.76 66.37 53.98 71.51 29.04 51.24 25.32 43.80 52.58 -4.72 -16.98 -2.57 -18.77 -14.76 -10.56 -4.12 -19.04 -17.49 -18.11 -15.92 -9.88 41 100.00 73.76 89.19 85.15 22.85 74.95 63.61 29.05 22.62 83.49 84.44 38.13 -4.59 -8.03 -5.43 -14.01 -8.91 -12.74 -18.84 -6.56 -12.94 -6.05 -14.95 -17.91 42 65.48 56.14 94.33 23.36 49.87 35.98 36.94 81.10 67.34 89.40 27.60 68.73 -4.91 -3.63 -11.13 -12.50 -1.41 -17.14 -13.24 -1.13 -9.29 -0.87 -9.45 -0.36 43 90.27 94.24 72.12 53.50 90.29 89.96 53.22 75.72 76.18 36.06 78.18 26.39 -7.72 -14.63 -0.21 -7.76 -18.63 -2.28 -9.16 -15.49 -14.41 -14.63 -0.28 -13.60 44 21.33 69.29 80.83 31.29 48.17 22.36 80.76 50.13 64.76 55.82 92.03 93.23 -12.60 -2.56 -18.65 -3.02 -15.91 -5.73 -2.96 -19.90 -3.02 -18.28 -17.43 -16.49 45 37.92 81.65 60.32 83.09 45.16 93.23 33.65 98.96 77.93 46.06 26.74 36.15 -0.50 -10.17 -5.38 -19.21 -4.29 -17.35 -14.76 -6.20 -1.57 -0.13 -10.60 -19.33 ; # 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) / 1 255.00 2 78.00 3 188.00 4 162.00 5 83.00 6 80.00 7 88.00 8 92.00 9 161.00 10 224.00 11 133.00 12 219.00 13 245.00 14 83.00 15 39.00 16 151.00 17 39.00 18 9.00 19 297.00 20 265.00 21 125.00 22 136.00 23 122.00 24 68.00 25 184.00 26 73.00 27 57.00 28 152.00 29 131.00 30 197.00 31 243.00 32 29.00 33 55.00 34 91.00 35 177.00 36 277.00 37 214.00 38 47.00 39 281.00 40 183.00 41 162.00 42 80.00 43 132.00 44 10.00 45 198.00 / ; $include xmodel.gms