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README-kennington.md

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=========== lp/data/kennington/readme ===========

The "Kennington" problems, sixteen problems described in "An Empirical Evaluation of the KORBX Algorithms for Military Airlift Applications" by W. J. Carolan, J. E. Hill, J. L. Kennington, S. Niemi, S. J. Wichmann (Operations Research vol. 38, no. 2 (1990), pp. 240-248), are in this directory. They are doubly compressed, as explained in "readme from lp/data".

Note that some people have variants of the KEN* problems in which some of the cost coefficients are in columns 26-37 (or 26-38) rather than columns 25-36. Solvers that read strict MPS format will find different solutions for these variants than for the "correct" versions in this directory.

The following table gives some statistics for the "Kennington" problems. The number of columns excludes slacks and surpluses. The bounds column tells how many entries appear in the BOUNDS section of the MPS file. The mpc column shows the bytes in the problem after "uncompress" and before "emps"; MPS shows the bytes after "emps". The optimal values were computed by Vanderbei's ALPO, running on an SGI computer (with binary IEEE arithmetic).

Name rows columns nonzeros bounds mpc MPS optimal value

CRE-A 3517 4067 19054 0 152726 659682 2.3595407e+07 CRE-B 9649 72447 328542 0 2119719 10478735 2.3129640e+07 CRE-C 3069 3678 16922 0 135315 587817 2.5275116e+07 CRE-D 8927 69980 312626 0 2022105 9964196 2.4454970e+07 KEN-07 2427 3602 11981 7204 150525 718748 -6.7952044e+08 KEN-11 14695 21349 70354 42698 928171 4167698 -6.9723823e+09 KEN-13 28633 42659 139834 85318 1836457 8254122 -1.0257395e+10 KEN-18 105128 154699 512719 309398 7138893 29855000 -5.2217025e+10 OSA-07 1119 23949 167643 0 1059475 5388666 5.3572252e+05 OSA-14 2338 52460 367220 0 2359656 11800249 1.1064628e+06 OSA-30 4351 100024 700160 0 4470876 22495351 2.1421399e+06 OSA-60 10281 232966 1630758 0 10377094 52402461 4.0440725e+06 PDS-02 2954 7535 21252 2134 197821 801690 2.8857862e+10 PDS-06 9882 28655 82269 9240 769564 3124272 2.7761038e+10 PDS-10 16559 48763 140063 16148 1313834 5331274 2.6727095e+10 PDS-20 33875 105728 304153 34888 2856653 11550890 2.3821659e+10

Thanks go to Irv Lustig for transmitting these problems for distribution by netlib/ftp.