Home » Best Results

Best results

The latest three improving lower bounds and solutions are displayed in the table below.

Click on an instance to see all its results, or open the results from one execution by clicking on the originator's name.

Instance	q₁, q₂	Best Bounds	Originator	Date	Best Solutions	Originator	Date	Gap
umps4	2, 1	5176.0	Trick et al.	Oct. 17, 2011	5176	Trick et al.	Oct. 17, 2011	optimal
umps6	3, 1	14077.0	Trick et al.	Oct. 17, 2011	14077	Trick et al.	Oct. 17, 2011	optimal
umps6A	3, 1	15457.0	Trick et al.	Oct. 17, 2011	15457	Trick et al.	Oct. 17, 2011	optimal
umps6B	3, 1	16716.0	Trick et al.	Oct. 17, 2011	16716	Trick et al.	Oct. 17, 2011	optimal
umps6C	3, 1	14396.0	Trick et al.	Oct. 17, 2011	14396	Trick et al.	Oct. 17, 2011	optimal
umps8	4, 2	34311.0	Trick et al.	Oct. 17, 2011	34311	Trick et al.	Oct. 17, 2011	optimal
umps8A	4, 2	31490.0	Trick et al.	Oct. 17, 2011	31490	Trick et al.	Oct. 17, 2011	optimal
umps8B	4, 2	32731.0	Trick et al.	Oct. 17, 2011	32731	Trick et al.	Oct. 17, 2011	optimal
umps8C	4, 2	29879.0	Trick et al.	Oct. 17, 2011	29879	Trick et al.	Oct. 17, 2011	optimal
umps10	5, 2	48942.0	Trick et al.	Oct. 17, 2011	48942	Trick et al.	Oct. 17, 2011	optimal
umps10A	5, 2	46551.0	Trick et al.	Oct. 17, 2011	46551	Trick et al.	Oct. 17, 2011	optimal
umps10B	5, 2	45609.0	Trick et al.	Oct. 17, 2011	45609	Trick et al.	Oct. 17, 2011	optimal
umps10C	5, 2	43149.0	Trick et al.	Oct. 17, 2011	43149	Trick et al.	Oct. 17, 2011	optimal
umps12	7, 2	86889.0	Toffolo et al.	Feb. 3, 2015	86889	Toffolo et al.	Feb. 3, 2015	optimal
umps12	6, 3	95259.3	Xue et al.	March 21, 2014	infeasible	Trick et al.	Oct. 17, 2011	infeasible
umps12	5, 3	93679.0	Toffolo et al.	Feb. 3, 2015	93679	Toffolo et al.	Feb. 3, 2015	optimal
umps12	4, 3	89826.0	Toffolo et al.	Feb. 3, 2015	89826	Toffolo et al.	Feb. 3, 2015	optimal
umps14	8, 3	172177.0	Toffolo et al.	Feb. 3, 2015	172177	Toffolo et al.	Feb. 3, 2015	optimal
umps14	8, 2	147824.0	Toffolo et al.	Feb. 3, 2015	147824	Toffolo et al.	Feb. 3, 2015	optimal
umps14	7, 3	164440.0 159797.0 141253.0	Toffolo et al. Wauters et al. Trick et al.	Feb. 3, 2015 Nov. 5, 2013 Oct. 17, 2011	164440 172510 184117	Wauters et al. Toffolo et al. Trick et al.	Nov. 5, 2013 July 22, 2017 Oct. 17, 2011	optimal
umps14	7, 2	146656.0	Toffolo et al.	Feb. 3, 2015	146656	Toffolo et al.	Feb. 3, 2015	optimal
umps14	6, 3	158875.0 157083.4 156551.0	Toffolo et al. Xue et al. Wauters et al.	Feb. 3, 2015 March 21, 2014 Nov. 5, 2013	158875 159505 163933	Toffolo et al. Wauters et al. Toffolo et al.	Feb. 3, 2015 Nov. 5, 2013 July 22, 2017	optimal
umps14	6, 2	145124.0	Toffolo et al.	Feb. 3, 2015	145124	Toffolo et al.	Feb. 3, 2015	optimal
umps14	5, 3	154962.0 153759.6 153066.0	Xue et al. Toffolo et al. Wauters et al.	March 21, 2014 Feb. 28, 2014 Nov. 5, 2013	154962 155392 155893	Xue et al. Toffolo et al. Wauters et al.	March 21, 2014 Feb. 28, 2014 Nov. 5, 2013	optimal
umps14	5, 2	143357.0	Toffolo et al.	Feb. 3, 2015	143357	Toffolo et al.	Feb. 3, 2015	optimal
umps14A	8, 3	166184.0	Toffolo et al.	Feb. 3, 2015	166184	Toffolo et al.	Feb. 3, 2015	optimal
umps14A	8, 2	143043.0	Toffolo et al.	Feb. 3, 2015	143043	Toffolo et al.	Feb. 3, 2015	optimal
umps14A	7, 3	158760.0 153199.0 133279.0	Toffolo et al. Wauters et al. Trick et al.	Feb. 3, 2015 Nov. 5, 2013 Oct. 17, 2011	158760 166329 175898	Wauters et al. Toffolo et al. Trick et al.	Nov. 5, 2013 July 22, 2017 Oct. 17, 2011	optimal
umps14A	7, 2	140562.0	Toffolo et al.	Feb. 3, 2015	140562	Toffolo et al.	Feb. 3, 2015	optimal
umps14A	6, 3	152981.0 151043.2 150998.0	Toffolo et al. Xue et al. Wauters et al.	Feb. 3, 2015 March 21, 2014 Nov. 5, 2013	152981 153216 157917	Toffolo et al. Wauters et al. Toffolo et al.	Feb. 3, 2015 Nov. 5, 2013 July 22, 2017	optimal
umps14A	6, 2	138927.0	Toffolo et al.	Feb. 3, 2015	138927	Toffolo et al.	Feb. 3, 2015	optimal
umps14A	5, 3	149331.0 148299.0 143504.0	Xue et al. Wauters et al. Oliveira et al.	March 21, 2014 Nov. 5, 2013 Aug. 28, 2013	149331 150386 150698	Xue et al. Toffolo et al. Wauters et al.	March 21, 2014 Feb. 28, 2014 Nov. 5, 2013	optimal
umps14A	5, 2	137853.0	Toffolo et al.	Feb. 3, 2015	137853	Toffolo et al.	Feb. 3, 2015	optimal
umps14B	8, 3	165026.0	Toffolo et al.	Feb. 3, 2015	165026	Toffolo et al.	Feb. 3, 2015	optimal
umps14B	8, 2	141312.0	Toffolo et al.	Feb. 3, 2015	141312	Toffolo et al.	Feb. 3, 2015	optimal
umps14B	7, 3	157884.0 152517.6 151165.8	Toffolo et al. Xue et al. Toffolo et al.	Feb. 3, 2015 March 21, 2014 Feb. 28, 2014	157884 165421 172302	Wauters et al. Toffolo et al. Trick et al.	Nov. 5, 2013 July 22, 2017 Oct. 17, 2011	optimal
umps14B	7, 2	138998.0	Toffolo et al.	Feb. 3, 2015	138998	Toffolo et al.	Feb. 3, 2015	optimal
umps14B	6, 3	152740.0 150941.3 149267.0	Toffolo et al. Xue et al. Wauters et al.	Feb. 3, 2015 March 21, 2014 Nov. 5, 2013	152740 156659 158050	Wauters et al. Toffolo et al. Oliveira et al.	Nov. 5, 2013 July 22, 2017 Aug. 28, 2013	optimal
umps14B	6, 2	138241.0	Toffolo et al.	Feb. 3, 2015	138241	Toffolo et al.	Feb. 3, 2015	optimal
umps14B	5, 3	149455.0 149455.0 149311.6	Oliveira et al. Toffolo et al. Xue et al.	Sept. 3, 2014 Feb. 3, 2015 March 21, 2014	149455 149455 149621	Oliveira et al. Toffolo et al. Wauters et al.	Sept. 3, 2014 Feb. 3, 2015 Nov. 5, 2013	optimal
umps14B	5, 2	136069.0	Toffolo et al.	Feb. 3, 2015	136069	Toffolo et al.	Feb. 3, 2015	optimal
umps14C	8, 3	161262.0	Toffolo et al.	Feb. 3, 2015	161262	Toffolo et al.	Feb. 3, 2015	optimal
umps14C	8, 2	141015.0	Toffolo et al.	Feb. 3, 2015	141015	Toffolo et al.	Feb. 3, 2015	optimal
umps14C	7, 3	154913.0 151581.0 126843.0	Toffolo et al. Wauters et al. Trick et al.	Feb. 3, 2015 Nov. 5, 2013 Oct. 17, 2011	154913 164360 188945	Wauters et al. Toffolo et al. Trick et al.	Nov. 5, 2013 July 22, 2017 Oct. 17, 2011	optimal
umps14C	7, 2	138832.0	Toffolo et al.	Feb. 3, 2015	138832	Toffolo et al.	Feb. 3, 2015	optimal
umps14C	6, 3	150858.0 148986.5 148728.0	Toffolo et al. Xue et al. Wauters et al.	Feb. 3, 2015 March 21, 2014 Nov. 5, 2013	150858 153542 153841	Wauters et al. Toffolo et al. Oliveira et al.	Nov. 5, 2013 July 22, 2017 Aug. 28, 2013	optimal
umps14C	6, 2	136394.0	Toffolo et al.	Feb. 3, 2015	136394	Toffolo et al.	Feb. 3, 2015	optimal
umps14C	5, 3	148349.0 147902.9 146764.0	Toffolo et al. Xue et al. Wauters et al.	Feb. 3, 2015 March 21, 2014 Nov. 5, 2013	148349 149482 150130	Toffolo et al. Toffolo et al. Wauters et al.	Feb. 3, 2015 Feb. 28, 2014 Nov. 5, 2013	optimal
umps14C	5, 2	134916.0	Toffolo et al.	Feb. 3, 2015	134916	Toffolo et al.	Feb. 3, 2015	optimal