Considering that the amount of waste generated by an industrial enterprise is affected many uncertain factors, such as quality raw materials and state equipment. The process not deterministic, assumed in most existing studies. In this paper, we propose a stochastic impulse control model to characterize pollution control. Quasi-Variational Inequality (QVI) method implemented solve optimization p...

In this work we present a variational formulation for a multilayer perceptron neural network. With this formulation any learning task for the neural network is defined in terms of finding a function that is an extremal for some functional. Thus the multilayer perceptron provides a direct method for solving general variational problems. The application of this numerical method is investigated th...

In this paper, we deal with competitive facility location problems in which the demand of each customer depends on the facilities. In our models two competitive companies intend to locate their facilities on the market in order to maximize the total demand acquired from the market. The distances between the facilities and the demand points are measured by rectangular distance. At first we consi...

This paper presents a new optimal algorithm for locating a set of sensors in 3D able to see the boundaries of a polyhedral environment. Our approach is iterative and is based on a lower bound on the sensors’ number and on a restriction of the original problem requiring each face to be observed in its entirety by at least one sensor. The lower bound allows evaluating the quality of the solution ...

Social scientists have long noticed that firms engaged in the same business tend to be co-located with each other in a small number of separate places. This phenomenon was labeled as “economies of agglomeration” by Alfred Marshall (1920) in his neo-classical Principles of Economics. More recently, the term “industrial cluster” – defined as geographic concentrations of interconnected companies a...

This paper considers distributed estimation over heterogeneous sensor networks. We propose a distributed estimation strategy based on PageRank algorithm, where the link weight depends on the edge estimation covariances. We prove that the proposed estimator obtains better estimates than one typical estimator under identical initial conditions. Motivated by the advantage of the sensors with high ...

A novel interpolation algorithm, fuzzy interpolation, is presented and compared with other popular interpolation methods widely implemented in industrial and manufacturing applications. Different interpolation algorithms have been developed, reported and implemented in many industrial applications in recent years. Most of them are based on looking for the optimal interpolation trajectories base...

Let G be a connected graph. Let f be a proper k -coloring of G and Π = (R_1, R_2, . . . , R_k) bean ordered partition of V (G) into color classes. For any vertex v of G, define the color code c_Π(v) of v with respect to Π to be a k -tuple (d(v, R_1), d(v, R_2), . . . , d(v, R_k)), where d(v, R_i) is the min{d(v, x)|x ∈ R_i}. If distinct vertices have distinct color codes, then we call f a locat...