Hybrid Approach When Multiple Objectives Exist

When Do Good Parameterizations Exist?

Compromising Multiple Objectives in Production Scheduling: A Data Mining Approach

In multi-objective scheduling problems, the objectives are usually in conflict. To obtain a satisfactory compromise and resolve the issue of NP-hardness, most existing works have suggested employing meta-heuristic methods, such as genetic algorithms. In this research, we propose a novel data-driven approach for generating a single solution that compromises multiple rules pursuing different obje...

Bin Packing Under Multiple Objectives - a Heuristic Approximation Approach

The article proposes a heuristic approximation approach to the bin packing problem under multiple objectives. In addition to the traditional objective of minimizing the number of bins, the heterogeneousness of the elements in each bin is minimized, leading to a biobjective formulation of the problem with a tradeoff between the number of bins and their heterogeneousness. An extension of the Best...

When Does a Boltzmannian Equilibrium Exist?

6 Gases 19 6.1 The Dilute Gas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 6.2 The Ideal Gas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 6.3 The Kac Gas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 6.4 Gas of Noninteracting Particles in a Stadium-Box . . . . . . . . . . . 25 6.5 Gas of Noninteracting Particles in a Mushroom-Box . . . . ...

When Lyapunov exponents fail to exist.

We describe a simple continuous-time flow such that Lyapunov exponents fail to exist at nearly every point in the phase space R2 , despite the fact that the flow admits a unique natural measure. This example illustrates that the existence of Lyapunov exponents is a subtle question for systems that are not conservative.