Problems are a part of daily living, the solution to problems most times requires optimizing various alternative goals at the same time. For the case in question, the goals to be synchronised are usually in discord with each other and no single solution is feasible. A solution that takes into consideration only one objective can produce undesirable results for the other goals/objectives. A way ...

In multi-criteria optimization problems, several objective functions have to be optimized. Since the different objective functions are usually in conflict with each other, one cannot consider only one particular solution as the optimal solution. Instead, the aim is to compute a so-called Pareto curve of solutions. Since Pareto curves cannot be computed efficiently in general, we have to be cont...

Motivated by applications in engineering design, a mathematical model of the multi-scenario multi-criteria optimization problem is introduced. Theoretical results for the single-scenario case are presented to support a solution methodology developed for the bi-scenario bi-criteria case. Multi-scenario design problems are traditionally solved by aggregation of all objectives of all scenarios int...

X-ray spectroscopy diagnostics have been widely used as a standard technique to determine the temperature and density of astrophysical and laboratory plasmas. Traditional techniques have relied on performing an interactive search with a graphical user interface to select theoretical model parameters that best fit the data. We use a Pareto optimal genetic algorithm to drive a search of model par...

In this paper parallel universes are defined by their relation to multi-criteria optimization combined with an explicit or implicit link for the unambiguous identification of an optimum. As an explicit link function the desirability index is introduced. Desirabilities are also used for restricting the Pareto set to desired parts.

Shortest path problems appear as subproblems in numerous optimization problems. In most papers concerning multiple objective shortest path problems, additivity of the objective is a de-facto assumption, but in many real-life situations objectives and criteria, can be non-additive. The purpose of this paper is to give a general framework for dominance tests for problems involving a number of non...

Sequential parameter optimization (SPO) is a heuristic that combines classical and modern statistical techniques to improve the performance of search algorithms and optimization tasks. Since only a fraction of the interesting industrial Problems are single objective it is fundamental to provide algorithms with the SPO-Toolbox (SPOT) to optimize multi objective problems. Moreover, with the resul...

time, cost and quality are considered as the main components in managing each project. previous researches have mainly focused on the time-cost trade-off problems. recently quality is considered as the most important factor in project�s success, which is influenced by time acceleration that is the less time is spent the more success is gained. in time-cost-quality trade-off problems, each act...