Conventional approach to the designing of controlled systems is to start with calculation of program motion and to continue afterwards by examining perturbed motions using equations in deviations. It does not always, however, result in desirable outcomes. Thus, while analysing perturbed motions, which depend significantly on the program motion, it can happen, that dynamical characteristics of o...

A variety of infiltration techniques can be used to fabricate solid materials, particularly composites. In general these processes can be described with at least one time dependent partial differential equation describing the evolution of the solid phase, coupled to one or more partial differential equations describing mass transport through a porous structure. This paper presents a detailed ma...

Often, in many engineering applications it is required to find the best approximate solution of multi-objective optimization problems quick and with good accuracy. Multi-objective optimization problems are very common and important in real world applications, and as such many researchers are still working to devise various novel heuristic and mathematical approaches for their solution. Mathemat...

This is an article that will appear in the Encyclopedia of Optimization (Kluwer, 2000). It concerns optimization in two senses. The first is that informaion-based complexity (IBC) is the study of the minimal computational resources to solve continuous mathematical problems. The second is that the computational complexity of optimization problems is one of the areas studied in IBC. We discuss IB...

this paper presents the results of a comprehensive study on the efficiency of planar parallel mechanisms, considering their kinetostatic performance and also, their workspace. this aim is approached upon proceeding single- and multi-objective optimization procedures. kinetostatic performances of ten different planar parallel mechanisms are analyzed by resorting to a recent index, kinematic sens...

Inventory routing problems arise as simultaneous decisions in inventory and routing optimization. In the present study, vendor managed inventory is proposed as a collaborative model for reverse supply chains and the optimization problem is modeled in terms of an inventory routing problem. The studied reverse supply chains include several return generators and recovery centers and one collection...

According to the principle of the weak economy, mathematical model of emergency logistics routing optimization has been established in this paper, and the model is solved by the uniform mutation ant colony algorithm, simulation shows that the optimal results of uniform mutation ant colony algorithm are better than ant colony algorithm. At the same time, compared with the mathematical model of t...

Over the past decade, a large number of academics and start-ups have devoted themselves to developing kites as a renewable energy source. Determining the trajectories the kite should follow is a modeling and optimization challenge. We present a dynamic model and analyse how uncertainty affects the resulting optimization problem. We show how measurements can be used to rapidly correct the model-...

This article studies convex duality in stochastic optimization over finite discrete-time. The first part of the paper gives general conditions that yield explicit expressions for the dual objective in many applications in operations research and mathematical finance. The second part derives optimality conditions by combining general saddle-point conditions from convex duality with the dual repr...