我用一个整数变量（最小化的目标）和22016二进制变量来解决ILP问题。在顶部解决方案中，我发现已为四个二进制变量分配了非二进制值。价值观似乎相关。
A8350 = 1.1102230246251565E-16
B1958 = 1.1102230246251565E-16
B1896 = 1.1102230246251565E-16
C1404 = 2.220446049250313E-16
这就是使用JSCIPOpt创建变量C1404的方法：
scip.createVar("C1404", 0d, 1d, 0d, SCIP_Vartype.SCIP_VARTYPE_BINARY);
问题中的所有约束都与整数参数成线性关系。我用JSCIPOpt创建它们：
scip.createConsLinear(String name, Variable[] vars, double[] vals, double lhs, double rhs);
如果我要表达的约束是lhs <= rhs，那么我将lhs设置为-scip.infinity()，如果它是lhs = rhs，那么我将lhs设置为rhs与rhs相同的值。同样，C1404始终是一个表示为double的整数值。
这里举例说明涉及Constraint 1:
vars: [
C1404 in [-0.0,1.0] obj = 0.0 type = SCIP_VARTYPE_BINARY,
B1569 in [-0.0,1.0] obj = 0.0 type = SCIP_VARTYPE_BINARY,
B1625 in [-0.0,1.0] obj = 0.0 type = SCIP_VARTYPE_BINARY,
B1896 in [-0.0,1.0] obj = 0.0 type = SCIP_VARTYPE_BINARY,
B1958 in [-0.0,1.0] obj = 0.0 type = SCIP_VARTYPE_BINARY,
B2455 in [-0.0,1.0] obj = 0.0 type = SCIP_VARTYPE_BINARY
]
vals: [1.0, -1.0, -1.0, -1.0, -1.0, -1.0]
lhs: -1.0E20
rhs: 0.0
Constraint 2:
vars: [
C1404 in [-0.0,1.0] obj = 0.0 type = SCIP_VARTYPE_BINARY,
D1404 in [-0.0,1.0] obj = 0.0 type = SCIP_VARTYPE_BINARY
]
vals: [1.0, -1.0]
lhs: -1.0E20
rhs: 0.0
的两个约束的参数：
val >= 0.5 ? 1d : 0d是否预期会出现这些非零值？如果是这样，那么量化二进制变量的正确测试是什么？是presolving:
(round 1, fast) 8082 del vars, 10240 del conss, 1 add conss, 1659 chg bounds, 1991 chg sides, 1991 chg coeffs, 0 upgd conss, 0 impls, 32520 clqs
(round 2, fast) 11936 del vars, 47461 del conss, 1 add conss, 4711 chg bounds, 1991 chg sides, 1991 chg coeffs, 0 upgd conss, 0 impls, 14440 clqs
(round 3, fast) 13952 del vars, 50946 del conss, 1 add conss, 4713 chg bounds, 2010 chg sides, 2010 chg coeffs, 0 upgd conss, 0 impls, 12425 clqs
(round 4, fast) 13974 del vars, 50948 del conss, 1 add conss, 4713 chg bounds, 2024 chg sides, 2024 chg coeffs, 0 upgd conss, 0 impls, 12432 clqs
(round 5, exhaustive) 13974 del vars, 58850 del conss, 1 add conss, 4713 chg bounds, 2051 chg sides, 2024 chg coeffs, 0 upgd conss, 0 impls, 12432 clqs
(round 6, exhaustive) 13975 del vars, 58851 del conss, 1 add conss, 4713 chg bounds, 2051 chg sides, 2024 chg coeffs, 31716 upgd conss, 0 impls, 12431 clqs
(round 7, medium) 14110 del vars, 61288 del conss, 5597 add conss, 4713 chg bounds, 2051 chg sides, 2024 chg coeffs, 31716 upgd conss, 0 impls, 17686 clqs
(round 8, exhaustive) 14110 del vars, 61450 del conss, 5643 add conss, 4713 chg bounds, 2051 chg sides, 2024 chg coeffs, 31716 upgd conss, 0 impls, 17694 clqs
(round 9, exhaustive) 14111 del vars, 61451 del conss, 5644 add conss, 4713 chg bounds, 2051 chg sides, 2024 chg coeffs, 31855 upgd conss, 0 impls, 17688 clqs
(round 10, medium) 14213 del vars, 61642 del conss, 5883 add conss, 4713 chg bounds, 2051 chg sides, 2024 chg coeffs, 31855 upgd conss, 0 impls, 17755 clqs
(round 11, fast) 14213 del vars, 61687 del conss, 5883 add conss, 4713 chg bounds, 2051 chg sides, 2024 chg coeffs, 31855 upgd conss, 0 impls, 17758 clqs
(round 12, exhaustive) 14213 del vars, 61714 del conss, 5887 add conss, 4713 chg bounds, 2051 chg sides, 2097 chg coeffs, 31863 upgd conss, 0 impls, 17758 clqs
(round 13, exhaustive) 14219 del vars, 61734 del conss, 5901 add conss, 4713 chg bounds, 2051 chg sides, 2097 chg coeffs, 31863 upgd conss, 0 impls, 17758 clqs
(round 14, exhaustive) 14263 del vars, 61734 del conss, 5901 add conss, 4713 chg bounds, 2051 chg sides, 2215 chg coeffs, 31863 upgd conss, 0 impls, 17637 clqs
(round 15, fast) 14265 del vars, 61888 del conss, 5901 add conss, 4713 chg bounds, 2051 chg sides, 2221 chg coeffs, 31866 upgd conss, 0 impls, 17651 clqs
(round 16, medium) 14277 del vars, 61903 del conss, 5901 add conss, 4713 chg bounds, 2051 chg sides, 2221 chg coeffs, 31866 upgd conss, 0 impls, 17639 clqs
(round 17, exhaustive) 14277 del vars, 61927 del conss, 5905 add conss, 4713 chg bounds, 2051 chg sides, 2221 chg coeffs, 31866 upgd conss, 0 impls, 17639 clqs
(round 18, exhaustive) 14312 del vars, 61932 del conss, 5910 add conss, 4713 chg bounds, 2051 chg sides, 2221 chg coeffs, 31866 upgd conss, 0 impls, 17795 clqs
(round 19, fast) 14312 del vars, 62020 del conss, 5910 add conss, 4713 chg bounds, 2051 chg sides, 2225 chg coeffs, 31868 upgd conss, 0 impls, 17798 clqs
(round 20, exhaustive) 14314 del vars, 62071 del conss, 5913 add conss, 4713 chg bounds, 2051 chg sides, 2225 chg coeffs, 31868 upgd conss, 0 impls, 17796 clqs
(round 21, exhaustive) 14352 del vars, 62074 del conss, 5916 add conss, 4713 chg bounds, 2051 chg sides, 2225 chg coeffs, 31868 upgd conss, 0 impls, 18036 clqs
(round 22, fast) 14352 del vars, 62165 del conss, 5916 add conss, 4713 chg bounds, 2051 chg sides, 2227 chg coeffs, 31871 upgd conss, 0 impls, 18039 clqs
(round 23, exhaustive) 14393 del vars, 62179 del conss, 5920 add conss, 4713 chg bounds, 2051 chg sides, 2227 chg coeffs, 31871 upgd conss, 0 impls, 17986 clqs
(round 24, fast) 14393 del vars, 62283 del conss, 5920 add conss, 4713 chg bounds, 2051 chg sides, 2230 chg coeffs, 31875 upgd conss, 0 impls, 17989 clqs
(round 25, exhaustive) 14394 del vars, 62307 del conss, 5925 add conss, 4713 chg bounds, 2051 chg sides, 2230 chg coeffs, 31875 upgd conss, 0 impls, 17987 clqs
(round 26, exhaustive) 14433 del vars, 62322 del conss, 5925 add conss, 4713 chg bounds, 2051 chg sides, 2233 chg coeffs, 31875 upgd conss, 0 impls, 17907 clqs
(round 27, fast) 14434 del vars, 62414 del conss, 5925 add conss, 4713 chg bounds, 2051 chg sides, 2236 chg coeffs, 31878 upgd conss, 0 impls, 17896 clqs
(round 28, exhaustive) 14464 del vars, 62431 del conss, 5929 add conss, 4713 chg bounds, 2051 chg sides, 2236 chg coeffs, 31878 upgd conss, 0 impls, 18203 clqs
(round 29, fast) 14465 del vars, 62490 del conss, 5929 add conss, 4713 chg bounds, 2051 chg sides, 2238 chg coeffs, 31881 upgd conss, 0 impls, 18202 clqs
(round 30, exhaustive) 14527 del vars, 62505 del conss, 5932 add conss, 4713 chg bounds, 2051 chg sides, 2238 chg coeffs, 31881 upgd conss, 0 impls, 17942 clqs
(round 31, fast) 14527 del vars, 63543 del conss, 5932 add conss, 4713 chg bounds, 2051 chg sides, 2322 chg coeffs, 31881 upgd conss, 0 impls, 17947 clqs
(round 32, exhaustive) 14562 del vars, 63543 del conss, 5932 add conss, 4713 chg bounds, 2051 chg sides, 2322 chg coeffs, 31881 upgd conss, 0 impls, 17921 clqs
(round 33, fast) 14563 del vars, 63642 del conss, 5932 add conss, 4713 chg bounds, 2051 chg sides, 2330 chg coeffs, 31884 upgd conss, 0 impls, 17922 clqs
(round 34, exhaustive) 14565 del vars, 63667 del conss, 5934 add conss, 4713 chg bounds, 2051 chg sides, 2330 chg coeffs, 31884 upgd conss, 0 impls, 17918 clqs
(round 35, exhaustive) 14619 del vars, 63669 del conss, 5936 add conss, 4713 chg bounds, 2051 chg sides, 2330 chg coeffs, 31884 upgd conss, 0 impls, 17800 clqs
(round 36, fast) 14621 del vars, 63815 del conss, 5936 add conss, 4713 chg bounds, 2051 chg sides, 2335 chg coeffs, 31884 upgd conss, 0 impls, 17802 clqs
(round 37, fast) 14632 del vars, 63827 del conss, 5936 add conss, 4713 chg bounds, 2051 chg sides, 2335 chg coeffs, 31884 upgd conss, 0 impls, 17791 clqs
(round 38, exhaustive) 14685 del vars, 63831 del conss, 5937 add conss, 4713 chg bounds, 2051 chg sides, 2335 chg coeffs, 31884 upgd conss, 0 impls, 17290 clqs
(round 39, fast) 14687 del vars, 64576 del conss, 5937 add conss, 4713 chg bounds, 2051 chg sides, 2394 chg coeffs, 31884 upgd conss, 0 impls, 17292 clqs
(round 40, exhaustive) 14716 del vars, 64576 del conss, 5937 add conss, 4713 chg bounds, 2051 chg sides, 2394 chg coeffs, 31884 upgd conss, 0 impls, 17382 clqs
(round 41, fast) 14716 del vars, 65016 del conss, 5937 add conss, 4713 chg bounds, 2051 chg sides, 2445 chg coeffs, 31884 upgd conss, 0 impls, 17384 clqs
(round 42, exhaustive) 14749 del vars, 65017 del conss, 5938 add conss, 4713 chg bounds, 2051 chg sides, 2445 chg coeffs, 31884 upgd conss, 0 impls, 17372 clqs
(round 43, fast) 14749 del vars, 65275 del conss, 5938 add conss, 4713 chg bounds, 2051 chg sides, 2473 chg coeffs, 31886 upgd conss, 0 impls, 17373 clqs
(round 44, exhaustive) 14753 del vars, 65308 del conss, 5941 add conss, 4713 chg bounds, 2051 chg sides, 2473 chg coeffs, 31886 upgd conss, 0 impls, 17365 clqs
(round 45, exhaustive) 14789 del vars, 65309 del conss, 5942 add conss, 4713 chg bounds, 2051 chg sides, 2473 chg coeffs, 31886 upgd conss, 0 impls, 17355 clqs
(round 46, fast) 14800 del vars, 65404 del conss, 5942 add conss, 4713 chg bounds, 2051 chg sides, 2494 chg coeffs, 31889 upgd conss, 0 impls, 17299 clqs
(round 47, fast) 14802 del vars, 65462 del conss, 5942 add conss, 4713 chg bounds, 2051 chg sides, 2494 chg coeffs, 31889 upgd conss, 0 impls, 17291 clqs
(round 48, exhaustive) 14883 del vars, 65470 del conss, 5944 add conss, 4713 chg bounds, 2051 chg sides, 2494 chg coeffs, 31889 upgd conss, 0 impls, 17465 clqs
(round 49, fast) 14884 del vars, 65768 del conss, 5944 add conss, 4713 chg bounds, 2051 chg sides, 2558 chg coeffs, 31890 upgd conss, 0 impls, 17466 clqs
(round 50, fast) 14896 del vars, 65806 del conss, 5944 add conss, 4713 chg bounds, 2051 chg sides, 2558 chg coeffs, 31890 upgd conss, 0 impls, 17419 clqs
(round 51, exhaustive) 14900 del vars, 65834 del conss, 5945 add conss, 4713 chg bounds, 2051 chg sides, 2558 chg coeffs, 31890 upgd conss, 0 impls, 17401 clqs
(round 52, exhaustive) 14964 del vars, 65835 del conss, 5946 add conss, 4713 chg bounds, 2051 chg sides, 2558 chg coeffs, 31890 upgd conss, 0 impls, 17169 clqs
(round 53, fast) 14966 del vars, 66063 del conss, 5946 add conss, 4713 chg bounds, 2051 chg sides, 2625 chg coeffs, 31890 upgd conss, 0 impls, 17170 clqs
(round 54, exhaustive) 15004 del vars, 66078 del conss, 5946 add conss, 4713 chg bounds, 2051 chg sides, 2625 chg coeffs, 31890 upgd conss, 0 impls, 17316 clqs
(round 55, fast) 15004 del vars, 66225 del conss, 5946 add conss, 4713 chg bounds, 2051 chg sides, 2660 chg coeffs, 31890 upgd conss, 0 impls, 17319 clqs
(round 56, exhaustive) 15035 del vars, 66237 del conss, 5946 add conss, 4713 chg bounds, 2051 chg sides, 2660 chg coeffs, 31890 upgd conss, 0 impls, 19526 clqs
(round 57, fast) 15035 del vars, 66659 del conss, 5946 add conss, 4713 chg bounds, 2051 chg sides, 2712 chg coeffs, 31890 upgd conss, 0 impls, 19526 clqs
(round 58, exhaustive) 15086 del vars, 66660 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2714 chg coeffs, 31890 upgd conss, 0 impls, 19393 clqs
(round 59, fast) 15092 del vars, 66859 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2767 chg coeffs, 31890 upgd conss, 0 impls, 19372 clqs
(round 60, fast) 15104 del vars, 66892 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2767 chg coeffs, 31890 upgd conss, 0 impls, 19350 clqs
(round 61, exhaustive) 15142 del vars, 66892 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2767 chg coeffs, 31890 upgd conss, 0 impls, 19053 clqs
(round 62, fast) 15146 del vars, 67040 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2804 chg coeffs, 31890 upgd conss, 0 impls, 18863 clqs
(round 63, fast) 15151 del vars, 67074 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2804 chg coeffs, 31890 upgd conss, 0 impls, 18851 clqs
(round 64, exhaustive) 15181 del vars, 67074 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2804 chg coeffs, 31890 upgd conss, 0 impls, 19819 clqs
(round 65, fast) 15181 del vars, 67166 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2830 chg coeffs, 31890 upgd conss, 0 impls, 19821 clqs
(round 66, fast) 15198 del vars, 67249 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2830 chg coeffs, 31890 upgd conss, 0 impls, 19558 clqs
(round 67, fast) 15198 del vars, 67307 del conss, 5947 add conss, 4713 chg bounds, 2051 chg sides, 2830 chg coeffs, 31890 upgd conss, 0 impls, 19558 clqs
(round 68, exhaustive) 15226 del vars, 67309 del conss, 5948 add conss, 4713 chg bounds, 2051 chg sides, 2830 chg coeffs, 31890 upgd conss, 0 impls, 25712 clqs
(round 69, fast) 15226 del vars, 67368 del conss, 5948 add conss, 4713 chg bounds, 2051 chg sides, 2843 chg coeffs, 31890 upgd conss, 0 impls, 25715 clqs
(round 70, exhaustive) 15229 del vars, 67404 del conss, 5952 add conss, 4713 chg bounds, 2051 chg sides, 2843 chg coeffs, 31890 upgd conss, 0 impls, 25683 clqs
(round 71, exhaustive) 15297 del vars, 67409 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 2850 chg coeffs, 31890 upgd conss, 0 impls, 22704 clqs
(round 72, fast) 15297 del vars, 67743 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 2952 chg coeffs, 31890 upgd conss, 0 impls, 22705 clqs
(round 73, exhaustive) 15330 del vars, 67743 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 2952 chg coeffs, 31890 upgd conss, 0 impls, 22670 clqs
(round 74, fast) 15330 del vars, 67826 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 2968 chg coeffs, 31890 upgd conss, 0 impls, 22672 clqs
(round 75, fast) 15338 del vars, 67877 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 2968 chg coeffs, 31890 upgd conss, 0 impls, 22608 clqs
(round 76, exhaustive) 15392 del vars, 67882 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 2968 chg coeffs, 31890 upgd conss, 0 impls, 22644 clqs
(round 77, fast) 15393 del vars, 68093 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 3034 chg coeffs, 31890 upgd conss, 0 impls, 22631 clqs
(round 78, fast) 15406 del vars, 68165 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 3034 chg coeffs, 31890 upgd conss, 0 impls, 22547 clqs
(round 79, exhaustive) 15436 del vars, 68169 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 3035 chg coeffs, 31890 upgd conss, 0 impls, 23722 clqs
(round 80, fast) 15439 del vars, 68247 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 3060 chg coeffs, 31890 upgd conss, 0 impls, 23723 clqs
(round 81, medium) 15445 del vars, 68266 del conss, 5953 add conss, 4713 chg bounds, 2051 chg sides, 3060 chg coeffs, 31890 upgd conss, 0 impls, 23682 clqs
(round 82, exhaustive) 15555 del vars, 68274 del conss, 5955 add conss, 4713 chg bounds, 2051 chg sides, 3060 chg coeffs, 31890 upgd conss, 0 impls, 25208 clqs
(round 83, fast) 15555 del vars, 69541 del conss, 5955 add conss, 4713 chg bounds, 2051 chg sides, 3196 chg coeffs, 31890 upgd conss, 0 impls, 25215 clqs
(round 84, exhaustive) 15559 del vars, 69585 del conss, 5964 add conss, 4713 chg bounds, 2051 chg sides, 3196 chg coeffs, 31890 upgd conss, 0 impls, 25087 clqs
(round 85, exhaustive) 15589 del vars, 69585 del conss, 5964 add conss, 4713 chg bounds, 2051 chg sides, 3196 chg coeffs, 31890 upgd conss, 0 impls, 27603 clqs
(round 86, fast) 15608 del vars, 69695 del conss, 5964 add conss, 4713 chg bounds, 2051 chg sides, 3222 chg coeffs, 31890 upgd conss, 0 impls, 27527 clqs
(round 87, fast) 15612 del vars, 69731 del conss, 5964 add conss, 4713 chg bounds, 2051 chg sides, 3222 chg coeffs, 31890 upgd conss, 0 impls, 27527 clqs
(round 88, exhaustive) 15612 del vars, 69749 del conss, 5970 add conss, 4713 chg bounds, 2051 chg sides, 3222 chg coeffs, 31890 upgd conss, 0 impls, 27531 clqs
(round 89, exhaustive) 15642 del vars, 69749 del conss, 5970 add conss, 4713 chg bounds, 2051 chg sides, 3222 chg coeffs, 31890 upgd conss, 0 impls, 29574 clqs
(round 90, fast) 15653 del vars, 69866 del conss, 5970 add conss, 4713 chg bounds, 2051 chg sides, 3249 chg coeffs, 31890 upgd conss, 0 impls, 29520 clqs
(round 91, fast) 15680 del vars, 69967 del conss, 5970 add conss, 4713 chg bounds, 2051 chg sides, 3249 chg coeffs, 31890 upgd conss, 0 impls, 29331 clqs
(round 92, fast) 15681 del vars, 70001 del conss, 5970 add conss, 4713 chg bounds, 2051 chg sides, 3249 chg coeffs, 31890 upgd conss, 0 impls, 29303 clqs
(round 93, exhaustive) 15730 del vars, 70009 del conss, 5972 add conss, 4713 chg bounds, 2051 chg sides, 3250 chg coeffs, 31890 upgd conss, 0 impls, 26873 clqs
(round 94, fast) 15730 del vars, 70580 del conss, 5972 add conss, 4713 chg bounds, 2051 chg sides, 3318 chg coeffs, 31890 upgd conss, 0 impls, 26875 clqs
(round 95, exhaustive) 15756 del vars, 70584 del conss, 5973 add conss, 4713 chg bounds, 2051 chg sides, 3318 chg coeffs, 31890 upgd conss, 0 impls, 33781 clqs
(round 96, fast) 15761 del vars, 70651 del conss, 5973 add conss, 4713 chg bounds, 2051 chg sides, 3332 chg coeffs, 31890 upgd conss, 0 impls, 33755 clqs
(round 97, fast) 15772 del vars, 70702 del conss, 5973 add conss, 4713 chg bounds, 2051 chg sides, 3332 chg coeffs, 31890 upgd conss, 0 impls, 33300 clqs
(round 98, fast) 15787 del vars, 70756 del conss, 5973 add conss, 4713 chg bounds, 2051 chg sides, 3332 chg coeffs, 31890 upgd conss, 0 impls, 33188 clqs
(round 99, exhaustive) 15788 del vars, 70779 del conss, 5978 add conss, 4713 chg bounds, 2051 chg sides, 3332 chg coeffs, 31890 upgd conss, 0 impls, 33184 clqs
(9.2s) probing: 1000/8583 (11.7%) - 976 fixings, 324 aggregations, 57830 implications, 0 bound changes
(9.7s) probing: 1330/8583 (15.5%) - 978 fixings, 324 aggregations, 58396 implications, 0 bound changes
(9.7s) probing aborted: 50/50 successive totally useless probings
(round 100, exhaustive) 15812 del vars, 70780 del conss, 5979 add conss, 4713 chg bounds, 2051 chg sides, 3332 chg coeffs, 31890 upgd conss, 0 impls, 53331 clqs
(round 101, fast) 15827 del vars, 70875 del conss, 5979 add conss, 4713 chg bounds, 2051 chg sides, 3361 chg coeffs, 31890 upgd conss, 0 impls, 52989 clqs
(round 102, fast) 15849 del vars, 71105 del conss, 5979 add conss, 4713 chg bounds, 2051 chg sides, 3361 chg coeffs, 31890 upgd conss, 0 impls, 51380 clqs
(round 103, exhaustive) 15850 del vars, 71125 del conss, 5982 add conss, 4713 chg bounds, 2051 chg sides, 3361 chg coeffs, 31890 upgd conss, 0 impls, 51237 clqs
(9.9s) probing: 1453/8583 (16.9%) - 979 fixings, 324 aggregations, 59796 implications, 0 bound changes
(9.9s) probing aborted: 50/50 successive totally useless probings
presolving (104 rounds: 104 fast, 53 medium, 49 exhaustive):
18836 deleted vars, 81732 deleted constraints, 5983 added constraints, 4713 tightened bounds, 0 added holes, 2051 changed sides, 3361 changed coefficients
0 implications, 51981 cliques
presolved problem has 3979 variables (3979 bin, 0 int, 0 impl, 0 cont) and 14978 constraints
8241 constraints of type <setppc>
3 constraints of type <and>
6734 constraints of type <logicor>
transformed objective value is always integral (scale: 1)
Presolving Time: 9.95
time | node | left |LP iter|LP it/n| mem |mdpt |frac |vars |cons |cols |rows |cuts |confs|strbr| dualbound | primalbound | gap
T10.2s| 1 | 0 | 0 | - | 196M| 0 | - |3979 | 14k|3979 | 14k| 0 | 3 | 0 |-4.634700e+05 | 5.942710e+05 | Inf
b10.2s| 1 | 0 | 0 | - | 196M| 0 | - |3979 | 14k|3979 | 14k| 0 | 3 | 0 |-4.634700e+05 | 4.910190e+05 | Inf
10.3s| 1 | 0 | 2350 | - | 196M| 0 | 573 |3979 | 14k|3979 | 14k| 0 | 3 | 0 | 1.093312e+05 | 4.910190e+05 | 349.11%
s10.3s| 1 | 0 | 2350 | - | 197M| 0 | 573 |3979 | 14k|3979 | 14k| 0 | 4 | 0 | 1.093312e+05 | 2.975580e+05 | 172.16%
b10.3s| 1 | 0 | 2350 | - | 198M| 0 | 573 |3979 | 14k|3979 | 14k| 0 | 4 | 0 | 1.093312e+05 | 2.800590e+05 | 156.16%
10.7s| 1 | 0 | 2553 | - | 199M| 0 | 634 |3979 | 14k|3979 | 15k| 30 | 4 | 0 | 1.113979e+05 | 2.800590e+05 | 151.40%
11.1s| 1 | 0 | 2869 | - | 199M| 0 | 652 |3979 | 14k|3979 | 15k| 49 | 6 | 0 | 1.115939e+05 | 2.800590e+05 | 150.96%
s11.1s| 1 | 0 | 2869 | - | 199M| 0 | 652 |3979 | 14k|3979 | 15k| 49 | 7 | 0 | 1.115939e+05 | 2.795390e+05 | 150.50%
11.4s| 1 | 0 | 2998 | - | 201M| 0 | 472 |3979 | 14k|3979 | 15k| 70 | 7 | 0 | 1.116789e+05 | 2.795390e+05 | 150.31%
b11.4s| 1 | 0 | 2998 | - | 201M| 0 | 472 |3979 | 14k|3979 | 15k| 70 | 7 | 0 | 1.116789e+05 | 2.608210e+05 | 133.55%
R11.4s| 1 | 0 | 2998 | - | 202M| 0 | 472 |3979 | 14k|3979 | 15k| 70 | 8 | 0 | 1.116789e+05 | 2.454230e+05 | 119.76%
s11.4s| 1 | 0 | 2998 | - | 202M| 0 | 472 |3979 | 14k|3979 | 15k| 70 | 8 | 0 | 1.116789e+05 | 2.444030e+05 | 118.84%
11.8s| 1 | 0 | 3078 | - | 203M| 0 | 410 |3979 | 14k|3979 | 15k| 85 | 8 | 0 | 1.117042e+05 | 2.444030e+05 | 118.79%
R11.8s| 1 | 0 | 3078 | - | 203M| 0 | 410 |3979 | 14k|3979 | 15k| 85 | 8 | 0 | 1.117042e+05 | 2.432350e+05 | 117.75%
s11.8s| 1 | 0 | 3078 | - | 203M| 0 | 410 |3979 | 14k|3979 | 15k| 85 | 8 | 0 | 1.117042e+05 | 2.422220e+05 | 116.84%
time | node | left |LP iter|LP it/n| mem |mdpt |frac |vars |cons |cols |rows |cuts |confs|strbr| dualbound | primalbound | gap
b11.8s| 1 | 0 | 3078 | - | 203M| 0 | 410 |3979 | 14k|3979 | 15k| 85 | 8 | 0 | 1.117042e+05 | 2.325800e+05 | 108.21%
12.2s| 1 | 0 | 3170 | - | 203M| 0 | 486 |3979 | 14k|3979 | 15k| 101 | 8 | 0 | 1.117185e+05 | 2.325800e+05 | 108.18%
12.5s| 1 | 0 | 3270 | - | 205M| 0 | 306 |3979 | 14k|3979 | 15k| 115 | 9 | 0 | 1.117272e+05 | 2.325800e+05 | 108.17%
R12.5s| 1 | 0 | 3270 | - | 205M| 0 | 306 |3979 | 14k|3979 | 15k| 115 | 10 | 0 | 1.117272e+05 | 1.692700e+05 | 51.50%
s12.5s| 1 | 0 | 3270 | - | 206M| 0 | 306 |3979 | 14k|3979 | 15k| 115 | 10 | 0 | 1.117272e+05 | 1.682570e+05 | 50.60%
12.9s| 1 | 0 | 3415 | - | 207M| 0 | 548 |3979 | 14k|3979 | 15k| 127 | 10 | 0 | 1.117284e+05 | 1.682570e+05 | 50.59%
b12.9s| 1 | 0 | 3415 | - | 208M| 0 | 548 |3979 | 14k|3979 | 15k| 127 | 10 | 0 | 1.117284e+05 | 1.616510e+05 | 44.68%
13.3s| 1 | 0 | 3560 | - | 209M| 0 | 450 |3979 | 14k|3979 | 15k| 143 | 14 | 0 | 1.117513e+05 | 1.616510e+05 | 44.65%
13.7s| 1 | 0 | 3874 | - | 210M| 0 | 361 |3979 | 14k|3979 | 15k| 152 | 15 | 0 | 1.117521e+05 | 1.616510e+05 | 44.65%
R13.7s| 1 | 0 | 3874 | - | 210M| 0 | 361 |3979 | 14k|3979 | 15k| 152 | 15 | 0 | 1.117521e+05 | 1.187560e+05 | 6.27%
s13.7s| 1 | 0 | 3874 | - | 210M| 0 | 361 |3979 | 14k|3979 | 15k| 152 | 15 | 0 | 1.117521e+05 | 1.177290e+05 | 5.35%
14.2s| 1 | 0 | 3971 | - | 211M| 0 | 298 |3979 | 14k|3979 | 15k| 162 | 15 | 0 | 1.117532e+05 | 1.177290e+05 | 5.35%
b14.2s| 1 | 0 | 3971 | - | 211M| 0 | 298 |3979 | 14k|3979 | 15k| 162 | 15 | 0 | 1.117532e+05 | 1.126550e+05 | 0.81%
14.2s| 1 | 0 | 3971 | - | 211M| 0 | 298 |3979 | 14k|3979 | 15k| 162 | 15 | 0 | 1.117532e+05 | 1.126550e+05 | 0.81%
14.4s| 1 | 0 | 4117 | - | 211M| 0 | 314 |3979 | 14k|3979 | 15k| 173 | 15 | 0 | 1.117690e+05 | 1.126550e+05 | 0.79%
time | node | left |LP iter|LP it/n| mem |mdpt |frac |vars |cons |cols |rows |cuts |confs|strbr| dualbound | primalbound | gap
E14.6s| 1 | 0 | 4117 | - | 211M| 0 | 314 |3979 | 14k|3979 | 15k| 173 | 15 | 0 | 1.117690e+05 | 1.118470e+05 | 0.07%
14.6s| 1 | 0 | 4117 | - | 211M| 0 | 314 |3979 | 14k|3979 | 15k| 173 | 15 | 0 | 1.117690e+05 | 1.118470e+05 | 0.07%
14.7s| 1 | 0 | 4117 | - | 212M| 0 | 314 |3979 | 14k|3979 | 14k| 173 | 15 | 0 | 1.117690e+05 | 1.118470e+05 | 0.07%
14.8s| 1 | 0 | 4181 | - | 213M| 0 | 311 |3979 | 14k|3979 | 14k| 182 | 15 | 0 | 1.117690e+05 | 1.118470e+05 | 0.07%
14.8s| 1 | 0 | 4189 | - | 213M| 0 | 316 |3979 | 14k|3979 | 14k| 183 | 15 | 0 | 1.117694e+05 | 1.118470e+05 | 0.07%
14.9s| 1 | 0 | 4189 | - | 213M| 0 | 316 |3979 | 14k|3979 | 14k| 183 | 15 | 0 | 1.117694e+05 | 1.118470e+05 | 0.07%
14.9s| 1 | 0 | 4189 | - | 213M| 0 | 316 |3979 | 14k|3979 | 14k| 183 | 15 | 0 | 1.117694e+05 | 1.118470e+05 | 0.07%
15.1s| 1 | 0 | 4349 | - | 213M| 0 | 461 |3979 | 14k|3979 | 14k| 194 | 15 | 0 | 1.117720e+05 | 1.118470e+05 | 0.07%
15.1s| 1 | 0 | 4349 | - | 213M| 0 | 461 |3979 | 14k|3979 | 14k| 194 | 16 | 0 | 1.117720e+05 | 1.118470e+05 | 0.07%
15.1s| 1 | 0 | 4376 | - | 213M| 0 | 407 |3979 | 14k|3979 | 14k| 195 | 16 | 0 | 1.117723e+05 | 1.118470e+05 | 0.07%
15.1s| 1 | 0 | 4376 | - | 213M| 0 | 407 |3979 | 14k|3979 | 14k| 195 | 16 | 0 | 1.117723e+05 | 1.118470e+05 | 0.07%
15.3s| 1 | 0 | 4429 | - | 213M| 0 | 375 |3979 | 14k|3979 | 14k| 201 | 16 | 0 | 1.117723e+05 | 1.118470e+05 | 0.07%
15.3s| 1 | 0 | 4436 | - | 213M| 0 | 381 |3979 | 14k|3979 | 14k| 202 | 17 | 0 | 1.117723e+05 | 1.118470e+05 | 0.07%
15.6s| 1 | 2 | 4436 | - | 213M| 0 | 381 |3979 | 14k|3979 | 14k| 202 | 20 | 21 | 1.117727e+05 | 1.118470e+05 | 0.07%
(run 1, node 1) restarting after 228 global fixings of integer variables
(restart) converted 131 cuts from the global cut pool into linear constraints
presolving:
(round 1, fast) 235 del vars, 60 del conss, 0 add conss, 0 chg bounds, 0 chg sides, 124 chg coeffs, 0 upgd conss, 0 impls, 36478 clqs
(round 2, fast) 243 del vars, 61 del conss, 0 add conss, 0 chg bounds, 0 chg sides, 124 chg coeffs, 0 upgd conss, 0 impls, 36478 clqs
(round 3, medium) 267 del vars, 86 del conss, 0 add conss, 0 chg bounds, 0 chg sides, 124 chg coeffs, 0 upgd conss, 0 impls, 36175 clqs
(round 4, exhaustive) 271 del vars, 96 del conss, 3 add conss, 0 chg bounds, 0 chg sides, 124 chg coeffs, 0 upgd conss, 0 impls, 36108 clqs
(round 5, medium) 274 del vars, 106 del conss, 3 add conss, 0 chg bounds, 0 chg sides, 124 chg coeffs, 0 upgd conss, 0 impls, 35920 clqs
(round 6, medium) 277 del vars, 115 del conss, 3 add conss, 0 chg bounds, 0 chg sides, 124 chg coeffs, 0 upgd conss, 0 impls, 35910 clqs
(round 7, exhaustive) 277 del vars, 115 del conss, 3 add conss, 0 chg bounds, 0 chg sides, 124 chg coeffs, 131 upgd conss, 0 impls, 35910 clqs
(round 8, exhaustive) 277 del vars, 127 del conss, 4 add conss, 0 chg bounds, 2 chg sides, 141 chg coeffs, 131 upgd conss, 0 impls, 35912 clqs
presolving (9 rounds: 9 fast, 7 medium, 4 exhaustive):
277 deleted vars, 132 deleted constraints, 4 added constraints, 0 tightened bounds, 0 added holes, 2 changed sides, 155 changed coefficients
0 implications, 35912 cliques
presolved problem has 3702 variables (3702 bin, 0 int, 0 impl, 0 cont) and 14190 constraints
58 constraints of type <knapsack>
7458 constraints of type <setppc>
1 constraints of type <and>
6673 constraints of type <logicor>
transformed objective value is always integral (scale: 1)
Presolving Time: 10.28
transformed 8/18 original solutions to the transformed problem space
(Some lines removed to stay within StackOverflow limits.)
time | node | left |LP iter|LP it/n| mem |mdpt |frac |vars |cons |cols |rows |cuts |confs|strbr| dualbound | primalbound | gap
16.1s| 1 | 0 | 6297 | - | 218M| 0 | 373 |3702 | 14k|3702 | 14k| 0 | 20 | 21 | 1.117727e+05 | 1.118470e+05 | 0.07%
16.2s| 1 | 0 | 6297 | - | 218M| 0 | 373 |3702 | 14k|3702 | 14k| 0 | 23 | 21 | 1.117727e+05 | 1.118470e+05 | 0.07%
16.6s| 1 | 0 | 6348 | - | 218M| 0 | 354 |3702 | 14k|3702 | 13k| 37 | 23 | 21 | 1.117727e+05 | 1.118470e+05 | 0.07%
16.7s| 1 | 0 | 6673 | - | 218M| 0 | 526 |3702 | 13k|3702 | 13k| 38 | 24 | 21 | 1.117826e+05 | 1.118470e+05 | 0.06%
17.0s| 1 | 0 | 6771 | - | 218M| 0 | 298 |3702 | 12k|3702 | 12k| 38 | 25 | 23 | 1.117845e+05 | 1.118470e+05 | 0.06%
17.3s| 1 | 0 | 6781 | - | 218M| 0 | 269 |3702 | 11k|3702 | 12k| 38 | 25 | 45 | 1.117914e+05 | 1.118470e+05 | 0.05%
17.6s| 1 | 2 | 6781 | - | 218M| 0 | 269 |3702 | 11k|3702 | 12k| 38 | 25 | 73 | 1.117914e+05 | 1.118470e+05 | 0.05%
*26.3s| 27 | 1 | 8030 | 46.3 | 219M| 17 | - |3702 | 11k|3702 | 12k| 38 | 26 | 887 | 1.117967e+05 | 1.118380e+05 | 0.04%
*29.0s| 47 | 1 | 8473 | 36.0 | 219M| 17 | - |3702 | 11k|3702 | 12k| 38 | 27 |1122 | 1.117992e+05 | 1.118050e+05 | 0.01%
SCIP Status : problem is solved [optimal solution found]
Solving Time (sec) : 29.38
Solving Nodes : 54 (total of 55 nodes in 2 runs)
Primal Bound : +1.11805000000000e+05 (21 solutions)
Dual Bound : +1.11805000000000e+05
Gap : 0.00 %
吗？
如果有帮助，这是SCIP的输出。
java -Xms512m -Xmx1024m -jar test.jar
答案 0 :(得分：0)
在典型的双精度浮点环境中，1e-16范围内的值可安全地视为零。我建议您将绝对值低于1e-12的所有变量视为0。