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Research
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Multiobjective knapsack problem
Instances
250-2, 500-2, 750-2
250-3, 500-3, 750-3
Reference sets
- Pareto non-dominated points (exact, epsilon-constraint method):
250-2, 500-2, 750-2
- Reference sets:
250-3, 500-3, 750-3
Heuristic results
- MEMOTS (T. Lust, J. Teghem, MEMOTS: a memetic algorithm integrating tabu search for combinatorial multiobjective optimization, RAIRO Operations Research, volume 42, pages 3-33, 2008):
250-2, 500-2, 750-2
250-3, 500-3, 750-3
- 2PPLS (T. Lust, J. Teghem, The multiobjective multidimensional knapsack problem: a survey and a new approach, International Transactions in Operational Research, volume 19, issue 4, pages 495-520, 2012):
250-2, 500-2, 750-2
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Multiobjective traveling salesman problem
Instances
KroAB100,KroAB150,KroAB200,KroAB300,KroAB400,KroAB500,KroAB750,KroAB1000
KroAC100
KroAD100
KroBC100
KroBD100
KroCD100
EuclAB100,EuclAB300,EuclAB500
RdAB100,RdAB300,RdAB500
MixedAB100,MixedAB300,MixedAB500
ClusteredAB100,ClusteredAB300,ClusteredAB500
Reference Sets
Heuristic results
- 2PPLS (T. Lust, J. Teghem, Two-phase Pareto local search for the biobjective traveling salesman problem, Journal of Heuristics, volume 16, number 3, pages 475-510, 2010):
Kro , Eucl , Rd , Mixed , Clustered
Running times 2PPLS:
- 2PPLS+SpeedP1 (T. Lust, A. Jaszkiewicz, Speed-up techniques for solving large-scale biobjective TSP, Computers and Operations Research, volume 37, pages 521-533, 2010):
Kro(1) , Kro(2) , Eucl , Rd , Mixed , Clustered
Running times 2PPLS+SpeedP1:
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Multiobjective set covering problem
Instances
11a,11b,11c,11d,41a,41b,41c,41d,42a,42b,42c,42d,43a,43b,43c,43d,61a,61b,61c,61d,62a,62b,62c,62d,81a,81b,81c,81d,82a,82b,82c,82d
101a,101b,101c,101d,102a,102b,102c,102d,201a,201b,201c,201d
Pareto non-dominated points (exact, epsilon-constraint method)
11a,11b,11c,11d,41a,41b,41c,41d,42a,42b,42c,42d,43a,43b,43c,43d,61a,61b,61c,61d,62a,62b,62c,62d,81a,81b,81c,81d,82a,82b
Heuristic results
2PPLS (T. Lust, D. Tuyttens, Variable and large neighborhood search to solve the multiobjective set covering problem, Journal of Heuristics, volume 20, issue 2, pages 165-188, 2014):
- Two criteria:
- Three criteria:
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