A generalized optimization problem in which design space is also a design to be found is de9ned and a numerical implementation method is proposed. In conventional optimization, only a portion of structural parameters is designated as design variables while the remaining set of other parameters related to the design space are often taken for granted. A design space is speci9ed by the number of d...

The optical layout of erbium-doped waveguide amplifiers (EDWAs) based on spiral and folded spiral planar lightwave circuits is considered. It is shown that layouts may be ranked according to their ability to provide maximum gain within a given chip area and an optimum layout based on a spiral containing both straight and curved waveguide sections is identified from an initial set. The analysis ...

this paper offers an approach that could be useful for diverse types of layout problems or even area allocation problems. by this approach there is no need to large number of discrete variables and only by few continues variables large-scale layout problems could be solved in polynomial time. this is resulted from dividing area into discrete and continuous dimensions. also defining decision var...

Abstract Layout optimization provides a powerful means of identifying materially efficient structures. It has the potential to be particularly valuable when long-span structures are involved, since self-weight represents significant proportion overall loading. However, previously proposed numerical layout methods neglect or make non-conservative approximations in their modelling and/or multiple...