Multi-criteria scheduling: an agent-based approach for expert knowledge integration

In this work, we present an agent-based approach to multi-criteria combinatorial optimization. It allows to flexibly combine elementary heuristics that may be optimal for corresponding single-criterion problems. In the multi-criteria case a smart combination of such heuristics is supposed to efficiently approximate the whole Pareto-front of non-dominated trade-off solutions. We optimize an instance of the scheduling problem 1|d j|∑C j,Lmax and show that the modular building block architecture of our optimization model and the distribution of acting entities enable beneficial integration of problem specific expert knowledge. We present a universal mutation operator for combinatorial problem encodings that allows to construct certain solution strategies, such as advantageous sorting or known optimal sequencing procedures. In this way, it becomes possible to derive more complex heuristics from atomic local heuristics that are known to tackle fractions of the complete problem. We show that it is possible to approximate both single-criterion problems such as Pm|d j|∑U j as well as more challenging multi-criteria scheduling problems, like Pm||Cmax,∑C j and Pm|d j|Cmax,∑C j,∑U j. Christian Grimme · Uwe Schwiegelshohn TU Dortmund University, Robotics Research Institute, Otto-Hahn-Strasse 8, 44227 Dortmund, Germany Tel.: +49-231-2634 Fax: +49-231-3251 E-mail: {firstname.lastname}@udo.edu Joachim Lepping Laboratoire d’Informatique de Grenoble ENSIMAG antenne de Montbonnot ZIRST 51, avenue Jean Kuntzmann 38330 Montbonnot Saint Martin, FRANCE Tel.: +33-476-6120-69 Fax: +33-476-6120-99 E-mail: [email protected]