%%MatrixMarket matrix coordinate real general %------------------------------------------------------------------------------- % UF Sparse Matrix Collection, Tim Davis % http://www.cise.ufl.edu/research/sparse/matrices/LPnetlib/lp_share2b % name: LPnetlib/lp_share2b % [Netlib LP problem share2b: minimize c'*x, where Ax=b, lo<=x<=hi] % id: 682 % date: % author: M. Saunders % ed: D. Gay % fields: title name A b id aux kind date author ed notes % aux: c lo hi z0 % kind: linear programming problem %------------------------------------------------------------------------------- % notes: % A Netlib LP problem, in lp/data. For more information % send email to netlib@ornl.gov with the message: % % send index from lp % send readme from lp/data % send minos from lp/data % % The following are relevant excerpts from lp/data/readme (by David M. Gay): % % The column and nonzero counts in the PROBLEM SUMMARY TABLE below exclude % slack and surplus columns and the right-hand side vector, but include % the cost row. We have omitted other free rows and all but the first % right-hand side vector, as noted below. The byte count is for the % MPS compressed file; it includes a newline character at the end of each % line. These files start with a blank initial line intended to prevent % mail programs from discarding any of the data. The BR column indicates % whether a problem has bounds or ranges: B stands for "has bounds", R % for "has ranges". % % The optimal value is from MINOS version 5.3 (of Sept. 1988) % running on a VAX with default options. % % PROBLEM SUMMARY TABLE % % Name Rows Cols Nonzeros Bytes BR Optimal Value % SHARE2B 97 79 730 4795 -4.1573224074E+02 % % From Michael Saunders, Systems Optimization Laboratory at Stanford University. % When included in Netlib: Extra free rows omitted. % % The following are relevant excerts from lp/data/minos (by Michael Saunders), % regarding experience with MINOS 5.0 on the problems he provided: % % (unscaled) (scaled) % File Name Rows Cols Elems Optimal Objective Itns Time Itns Time % ---- -------- ---- ---- ----- ----------------- ---- ---- ---- ---- % 3. SHARE2B 99 79 802 -4.1573224E+02 91 1.3 121 1.4 % % * Objective is the first row of type N. It is minimized except as shown. % % * Itns is the number of iterations required to solve the problem % by the primal simplex method, as implemented in the Fortran % code MINOS 5.0 (May 1985), using default values for all % parameters. (The initial basis is triangular.) % % * Time is the processor time required on an IBM 3081K. The MINOS % source code was compiled with the IBM Fortran 77 compiler % VS FORTRAN, using the options NOSDUMP, NOSYM and OPT(3). % %------------------------------------------------------------------------------- 96 162 777 1 1 1 2 2 1 3 3 1 4 4 1 5 5 1 6 6 1 7 7 1 8 8 1 9 9 1 11 10 1 12 11 1 13 12 1 14 13 1 15 14 1 16 15 1 17 16 1 18 17 1 19 18 1 21 19 1 22 20 1 23 21 1 24 22 1 25 23 1 26 24 1 27 25 1 28 26 1 29 27 1 31 28 1 32 29 1 33 30 1 34 31 1 35 32 1 36 33 1 37 34 1 38 35 1 39 36 1 41 37 1 42 38 1 43 39 1 44 40 1 45 41 1 46 42 1 47 43 1 48 44 1 49 45 1 51 46 1 52 47 1 53 48 1 54 49 1 55 50 1 56 51 1 57 52 1 58 53 1 59 54 1 61 55 1 62 56 1 63 57 1 64 58 1 65 59 1 66 60 1 67 61 1 68 62 1 69 63 1 70 64 1 71 65 1 72 66 1 73 67 1 74 68 1 75 69 1 76 70 1 77 71 1 78 72 1 85 73 1 86 74 1 87 75 1 88 76 1 89 77 1 90 78 1 91 79 1 92 80 1 93 81 1 94 82 1 95 83 1 1 84 65 2 84 1 3 84 -1 4 84 -1 5 84 -97.4 6 84 -99.9 7 84 -83.7 8 84 -85 10 84 1 1 85 5.5 2 85 .68 3 85 -.96 4 85 -1 5 85 -84 6 85 -88.1 7 85 -79.4 8 85 -83.2 10 85 1 61 85 1 1 86 .8 4 86 -.78 5 86 -87.9 6 86 -82.9 7 86 -74.6 8 86 -80.6 10 86 1 62 86 1 1 87 4.5 2 87 .27 3 87 -.97 4 87 -1 5 87 -97.9 6 87 -100.3 7 87 -95 8 87 -98 10 87 1 85 87 1 1 88 1.5 2 88 .12 3 88 -.36 4 88 -.95 5 88 -60.6 6 88 -76.3 7 88 -68.6 8 88 -76.8 10 88 1 63 88 1 1 89 6 2 89 .19 3 89 -.35 4 89 -.89 5 89 -94.8 6 89 -96.6 7 89 -83.8 8 89 -86.8 10 89 1 63 89 1.1 1 90 3.3 2 90 .07 3 90 -.29 4 90 -.97 5 90 -97.9 6 90 -100.3 7 90 -95 8 90 -98 10 90 1 63 90 1.2 1 91 5.8 2 91 .5 3 91 -.62 4 91 -.98 5 91 -96.5 6 91 -98.1 7 91 -80.8 8 91 -81.5 10 91 1 64 91 1 5 92 -2.1 6 92 -.7 7 92 -2.3 8 92 -1 9 92 1 1 93 -11 2 93 -.5 3 93 .5 4 93 .9 5 93 100 6 93 100 7 93 90 8 93 90 9 93 -3 10 93 -1 79 93 1 79 94 -1 80 94 1 79 95 -1 81 95 1 11 96 65 12 96 1 13 96 -1 14 96 -1 15 96 -97.4 16 96 -99.9 17 96 -83.7 18 96 -85 20 96 1 11 97 5.5 12 97 .57 13 97 -1 14 97 -1 15 97 -84 16 97 -88.1 17 97 -79.4 18 97 -83.2 20 97 1 61 97 1 11 98 .8 13 98 -.01 14 98 -.98 15 98 -87.9 16 98 -82.9 17 98 -74.6 18 98 -80.6 20 98 1 62 98 1 11 99 1.5 12 99 .12 13 99 -.36 14 99 -.95 15 99 -60.6 16 99 -76.3 17 99 -68.6 18 99 -76.8 20 99 1 63 99 1 11 100 2.7 12 100 .13 13 100 -.28 14 100 -.79 15 100 -77.9 16 100 -81.4 17 100 -70.6 18 100 -74 20 100 1 66 100 1 11 101 5.8 12 101 .46 13 101 -.67 14 101 -1 15 101 -96.5 16 101 -98.1 17 101 -80.8 18 101 -81.5 20 101 1 64 101 1 15 102 -3.5 16 102 -1.9 17 102 -3.4 18 102 -1.8 19 102 1 11 103 -11 12 103 -.5 13 103 .5 14 103 .9 15 103 89 16 103 89 17 103 82 18 103 82 19 103 -3 20 103 -1 82 103 1 86 103 -.25 21 104 70 22 104 1 23 104 -1 24 104 -1 25 104 -97.8 26 104 -102.3 27 104 -94.8 28 104 -99.8 30 104 1 21 105 9.5 22 105 .7 23 105 -.83 24 105 -1 25 105 -89.1 26 105 -92 27 105 -77.4 28 105 -80.1 30 105 1 65 105 1 21 106 2.7 22 106 .13 23 106 -.28 24 106 -.79 25 106 -77.9 26 106 -81.4 27 106 -70.6 28 106 -74 30 106 1 66 106 1 21 107 10.8 22 107 .97 23 107 -1 24 107 -1 25 107 -84.6 26 107 -89.7 27 107 -83.6 28 107 -89.4 30 107 1 67 107 1 21 108 1.5 22 108 .12 23 108 -.36 24 108 -.95 25 108 -60.6 26 108 -76.3 27 108 -68.6 28 108 -76.8 30 108 1 68 108 1 21 109 6.2 22 109 .19 23 109 -.35 24 109 -.89 25 109 -95.9 26 109 -97.6 27 109 -85.4 28 109 -87.8 30 109 1 68 109 1.2 21 110 6 22 110 .19 23 110 -.35 24 110 -.89 25 110 -94.8 26 110 -96.6 27 110 -83.8 28 110 -86.8 30 110 1 68 110 1.1 21 111 4.5 22 111 .27 23 111 -.97 24 111 -1 25 111 -97.9 26 111 -100.3 27 111 -95 28 111 -98 30 111 1 85 111 1 21 112 5.5 22 112 .68 23 112 -.96 24 112 -1 25 112 -84 26 112 -88.1 27 112 -79.4 28 112 -83.2 30 112 1 61 112 1 21 113 6.5 22 113 .48 23 113 -.56 24 113 -.97 25 113 -96.5 26 113 -97.1 27 113 -82.2 28 113 -83.3 30 113 1 64 113 1 25 114 -1.9 26 114 -.9 27 114 -2.4 28 114 -.9 29 114 1 21 115 -11 22 115 -.5 23 115 .5 24 115 .9 25 115 100 26 115 100 27 115 90 28 115 90 29 115 -3 30 115 -1 80 115 1 80 116 -1 81 116 1 31 117 70 32 117 1 33 117 -1 34 117 -1 35 117 -97.8 36 117 -102.3 37 117 -94.8 38 117 -99.8 40 117 1 31 118 9.5 32 118 .68 33 118 -.9 34 118 -1 35 118 -89.1 36 118 -92 37 118 -77.4 38 118 -80.1 40 118 1 65 118 1 31 119 2.7 32 119 .09 33 119 -.37 34 119 -.92 35 119 -77.9 36 119 -81.4 37 119 -70.6 38 119 -74 40 119 1 66 119 1 31 120 10.8 32 120 .93 33 120 -1 34 120 -1 35 120 -84.6 36 120 -89.7 37 120 -83.6 38 120 -89.4 40 120 1 67 120 1 31 121 6.2 32 121 .15 33 121 -.45 34 121 -.98 35 121 -95.9 36 121 -97.6 37 121 -85.4 38 121 -87.8 40 121 1 68 121 1.1 31 122 6.5 32 122 .45 33 122 -.63 34 122 -1 35 122 -96.5 36 122 -97.1 37 122 -82.2 38 122 -83.3 40 122 1 64 122 1 31 123 1.5 32 123 .12 33 123 -.36 34 123 -.95 35 123 -60.6 36 123 -76.3 37 123 -68.6 38 123 -76.8 40 123 1 68 123 1 31 124 5.5 32 124 .68 33 124 -.96 34 124 -1 35 124 -84 36 124 -88.1 37 124 -79.4 38 124 -83.2 40 124 1 61 124 1 35 125 -3.9 36 125 -1.4 37 125 -3.5 38 125 -1.3 39 125 1 31 126 -11 32 126 -.5 33 126 .5 34 126 .9 35 126 89 36 126 89 37 126 82 38 126 82 39 126 -3 40 126 -1 83 126 1 82 127 1 83 127 -1 86 127 .75 41 128 56 42 128 1 43 128 -1 44 128 -1 45 128 -99.4 46 128 -103 47 128 -96.7 48 128 -101.2 50 128 1 41 129 1.8 44 129 -1 45 129 -87.9 46 129 -91.6 47 129 -88.1 48 129 -92 50 129 1 69 129 1 41 130 1.4 44 130 -.54 45 130 -86.2 46 130 -90 47 130 -88 48 130 -91.3 50 130 1 70 130 1 41 131 10.6 42 131 .68 43 131 -.87 44 131 -1 45 131 -99.9 46 131 -100.4 47 131 -80.8 48 131 -81.7 50 131 1 71 131 1 41 132 2.5 44 132 -.65 45 132 -89.6 46 132 -91.7 47 132 -79.3 48 132 -82.1 50 132 1 72 132 1 41 133 11.5 42 133 .77 43 133 -.93 44 133 -1 45 133 -79.5 46 133 -85.1 47 133 -80.2 48 133 -86.2 50 133 1 73 133 1 41 134 1.5 42 134 .12 43 134 -.36 44 134 -.95 45 134 -60.6 46 134 -76.3 47 134 -68.6 48 134 -76.8 50 134 1 74 134 1 41 135 4.2 42 135 .08 43 135 -.3 44 135 -.91 45 135 -99.5 46 135 -99.9 47 135 -87.6 48 135 -89 50 135 1 74 135 1.1 41 136 4.3 42 136 .07 43 136 -.27 44 136 -.9 45 136 -101.4 46 136 -101.5 47 136 -89 48 136 -90.2 50 136 1 74 136 1.2 45 137 -1.6 46 137 -.8 47 137 -2 48 137 -.8 49 137 1 41 138 -10 42 138 -.5 43 138 .5 44 138 .9 45 138 101 46 138 101 47 138 91 48 138 91 49 138 -3 50 138 -1 81 138 1 51 139 56 52 139 1 53 139 -1 54 139 -1 55 139 -97.7 56 139 -100.6 57 139 -94.5 58 139 -98.5 60 139 1 51 140 10.6 52 140 .39 53 140 -1 54 140 -1 55 140 -98.2 56 140 -98 57 140 -78.6 58 140 -79 60 140 1 71 140 1 51 141 2.5 54 141 -.87 55 141 -87.9 56 141 -89.3 57 141 -77.1 58 141 -79.4 60 141 1 72 141 1 51 142 3.6 52 142 .27 53 142 -1 54 142 -1 55 142 -78.8 56 142 -82.7 57 142 -75.1 58 142 -80.5 60 142 1 75 142 1 51 143 11.5 52 143 .73 53 143 -.98 54 143 -1 55 143 -78.2 56 143 -82.7 57 143 -78 58 143 -83.5 60 143 1 73 143 1 51 144 2 53 144 -.38 54 144 -1 55 144 -66.9 56 144 -71.4 57 144 -67.6 58 144 -73.8 60 144 1 76 144 1 51 145 14.6 52 145 1 53 145 -1 54 145 -1 55 145 -74.7 56 145 -79.8 57 145 -77.3 58 145 -83 60 145 1 77 145 1 51 146 6.1 52 146 .33 53 146 -.65 54 146 -1 55 146 -70.7 56 146 -75.9 57 146 -69.6 58 146 -75.3 60 146 1 78 146 1 51 147 4.2 52 147 .04 53 147 -.36 54 147 -.98 55 147 -97.8 56 147 -97.5 57 147 -85.4 58 147 -86.3 60 147 1 74 147 1.1 55 148 -3.3 56 148 -1.6 57 148 -4.2 58 148 -1.7 59 148 1 51 149 -11 52 149 -.5 53 149 .5 54 149 .9 55 149 89 56 149 89 57 149 82 58 149 82 59 149 -3 60 149 -1 84 149 1 82 150 1 84 150 -1 86 150 .75 83 151 1 84 151 -1 87 152 56 88 152 1 89 152 -1 90 152 -1 91 152 -97.7 92 152 -100.6 93 152 -94.5 94 152 -98.5 96 152 1 71 153 1 87 153 10.6 88 153 .39 89 153 -1 90 153 -1 91 153 -98.2 92 153 -98 93 153 -78.6 94 153 -79 96 153 1 72 154 1 87 154 2.5 90 154 -.87 91 154 -87.9 92 154 -89.3 93 154 -77.1 94 154 -79.4 96 154 1 75 155 1 87 155 3.6 88 155 .27 89 155 -1 90 155 -1 91 155 -78.8 92 155 -82.7 93 155 -75.1 94 155 -80.5 96 155 1 73 156 1 87 156 11.5 88 156 .73 89 156 -.98 90 156 -1 91 156 -78.2 92 156 -82.7 93 156 -78 94 156 -83.5 96 156 1 76 157 1 87 157 2 89 157 -.38 90 157 -1 91 157 -66.9 92 157 -71.4 93 157 -67.6 94 157 -73.8 96 157 1 77 158 1 87 158 14.6 88 158 1 89 158 -1 90 158 -1 91 158 -74.7 92 158 -79.8 93 158 -77.3 94 158 -83 96 158 1 74 159 1.1 87 159 4.2 88 159 .04 89 159 -.36 90 159 -.98 91 159 -97.8 92 159 -97.5 93 159 -85.4 94 159 -86.3 96 159 1 74 160 1.2 87 160 4.3 88 160 .07 89 160 -.27 90 160 -.9 91 160 -101.4 92 160 -101.5 93 160 -89 94 160 -90.2 96 160 1 91 161 -3.3 92 161 -1.6 93 161 -4.2 94 161 -1.7 95 161 1 87 162 -10 88 162 -.5 89 162 .5 90 162 .9 91 162 90 92 162 90 93 162 83 94 162 83 95 162 -3 96 162 -1