In this paper, a multi-objective non-linear neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with multiple objectives subject to a specified set of constraints has been developed. In this optimum design formulation, the objective functions are the weight of the truss and the deflection of loaded joint; the design variables are the cross-sections of the...

This paper illustrates and extends an efficient framework, called the square-root-elastic (SRE) framework, for studying shapes of closed curves, that was first introduced in [2]. This framework combines the strengths of two important ideas - elastic shape metric and path-straightening methods - for finding geodesics in shape spaces of curves. The elastic metric allows for optimal matching of fe...

State constrained optimal control problems for linear elliptic partial differential equations are considered. The corresponding first order optimality conditions in primal-dual form are analyzed and linked to a free boundary problem resulting in a novel algorithmic approach with the boundary (interface) between the active and inactive sets as optimization variable. The new algorithm is based on...

Image-based effector servoing is a process of perception-action cycles for handling a robot effector under continual visual feedback. Apart from the primary goal of manipulating objects we apply servoing mechanisms also for determining camera features, e.g. the optical axes of cameras, and for actively changing the view, e.g. for inspecting the object shape. A peg-in-hole application is treated...

In this paper, we consider an optimal rate control algorithm for shape coding of emerging MPEG-4 compression system. Current MPEG-4 shape coding consists of two sub-steps; First distortion is introduced by scaling down and up way. Then, second, context-based arithmetic coding is applied. Since the arithmetic coding is \lossless", scaling down and up step is considered as a virtual quantizer. We...

This note follows an early work by Newell and Daganzo which suggests a wedge-like zone to divide a service area for freight delivery. Current literature has been largely using the zone of a fixed shape determined solely by demand density. We find that, given the same demand density, the shape of zones could vary significantly in order to better balance local and line haul truck delivery costs w...

We investigated the shape of the liquid-liquid interface in micro counter-current flows formed within microchannels. The pressure balance at the interface was calculated based on the interface geometry. Although the shape should be an arc under laminar flow, a large deformation near the center of the microchannel was observed. In the center of the microchannel, Laplace pressure (171 - 450 Pa) w...

Several radial basis function based methods contain a free shape parameter which has  a crucial role in the accuracy of the methods. Performance evaluation of this parameter in different  functions with various data has always been a topic of study. In the present paper, we consider studying the methods which determine an optimal value for the shape parameter in interpolations of radial basis  ...