generally, an engineering design problem has multiple objective functions. some of these problems can be formulated as multiobjective geometric programming models. on the other hand,often in the real world, coefficients of the objective functions are not known precisely. coefficients may be interpreted as fuzzy numbers, which lead to a multiobjective geometric programming with fuzzy parameters....

A method of inspecting the design space of multivariable objective functions is proposed. By scanning 1 or 2 of the variables at a constant step while partially minimizing or maximizing the function with respect to the remaining variables, sets of points are generated that can be further used in producing 2D or 3D diagrams. A number of examples are given for showing the usefulness of the method...

Topographic mappings are important in several contexts, including data visualization, connectionist representation, and cortical structure. Many different ways of quantifying the degree of topography of a mapping have been proposed. In order to investigate the consequences of the varying assumptions that these diierent approaches embody, we have optimized the mapping with respect to a number of...

Runtime analysis of evolutionary algorithms has become an important part in the theoretical analysis of randomized search heuristics. The first combinatorial problem where rigorous runtime results have been achieved is the well-known single source shortest path (SSSP) problem. Scharnow, Tinnefeld andWegener [PPSN 2002, J. Math. Model. Alg. 2004] proposed a multi-objective approach which solves ...