MP-AIDEA is one of our main tools to solve continuous optimisation problems and has been used to treat many diverse problems in different areas. If some works miss the critical mass to bring to a conference or journal publication, the available results will be published here below.

TandEM – Unconstrained

The details of the set of problems are available at the ESA-ACT web site https://www.esa.int/gsp/ACT/projects/gtop/tandem , and the available best solutions for the unconstrained problems are available https://www.esa.int/gsp/ACT/projects/gtop/tandem_unc. Since ESA has discontinued the update service of the solutions, some new solutions are posted here.

Our best solution for “Tandem 1 unconstrained”  is 1255.02, where the current value in the ESA-ACT page is ~1233 (checked on 08 Nov 2020). To have the solution vector, please write to edmondo dot minisci at strath dot ac dot uk

Our best solution for “Tandem 2 unconstrained”  is 1439.89, where the current value in the ESA-ACT page is ~1412 (checked on 08 Nov 2020). To have the solution vector, please write to edmondo dot minisci at strath dot ac dot uk

Messenger (reduced version)

The details of the problem and the best solutions are available at the ESA-ACT web site https://www.esa.int/gsp/ACT/projects/gtop/messenger_reduced/, ESA has discontinued the update service of the solutions, and is reporting the the best solution vector is lost. We show it here:

Obj Fun = 8.6301 km/s

x=[1171.34325492212          1.41529671516681         0.378855633263192         0.499476697178941          399.999999992936          178.710950102181          299.271565962462          180.547893896842         0.235983321925542        0.0816857834038128         0.833492097022486         0.315719009154167          1.76827267504045          3.03393700221953          1.10000000142094          1.35083888185748           1.09402864913845          1.34469465395044]