The lack of information about the conditions for the implementation of transport processes does not allow building mathematical models that operate with extremely accurate input data. Therefore, methods are being developed that formalize input uncertainties for constructing mathematical models of transport processes. To describe uncertainties, along with static, stochastic and interval approaches, methods based on fuzzy sets are actively used. The generalization of the belonging of the element, presented by Zadeh, allowed blurring the boundaries of the set. The blurring of the boundaries of the sets allows one to formalize insufficiently complete, in an informational sense, judgments and facts for the purpose of the subsequent use of this information in the construction of mathematical models. To identify formal approaches to working with uncertainties, an analysis of foreign periodicals in recent years has been carried out and two well-known approaches have been identified. The first is based on the theory of fuzzy sets - the generalized concept of belonging of an element to a set, leading to blurring of the boundaries of the set. The second approach involves describing fuzziness using a hierarchy - a family of ordered crisp sets [1]. Within the framework of the first approach, the authors have identified five ways of formalization. The first includes fuzzy sets (numbers) with different n-gonal forms of the membership function. The second consists of intuitionistic fuzzy sets (numbers) with n-gonal membership functions. The third contains heterogeneous fuzzy sets of type 2. The fourth represents non-standard fuzzy sets (oscillating, Pythagorean, etc.). The fifth method is a combination of spaced fuzzy numbers, intuitionistic spaced fuzzy numbers, and the like. References are given to sources containing a description of formalization methods and their application in solving some fuzzy transport problems, possible directions of research on the considered topics are formulated.
Keywords: fuzzy transport routing problem, optimization, fuzzy methods, fuzzy numbers, fuzzy sets, heuristic algorithms, hybrid algorithms, transport processes
The article discusses the work of foreign authors in the field of solving fuzzy distribution (transport) problems. To solve such problems in real conditions, it is rather difficult to formalize all parameters in the form of definite numbers, therefore, the field of solving fuzzy distribution (transport) problems attracts wide attention of scientists and experts, provoking numerous successful studies. To solve distribution (transport) problems, when considering the current state of foreign literature, the main approaches have been identified, consisting in the use of pentagonal, hexagonal, octagonal fuzzy numbers, ranking, intuitive fuzzy environment, as well as the Pythagorean approach. Now it is becoming more and more important to use inaccurate data in real transportation problems. The listed approaches to solving distribution (transport) problems give a certain effect in comparison with the existing ones, therefore it is necessary to investigate solutions of fuzzy distribution problems using modern approaches and methods.
Keywords: fuzzy transport routing problem, optimization, fuzzy methods, fuzzy numbers, heuristic algorithms, hybrid algorithms
It is shown that the problem of simultaneous processing of dynamic information arrays of different degrees of structure and fuzziness is currently relevant. One of the prototypes of mathematical models containing such information structures is the problem of practical distribution of resources in the conditions of possible, difficult to formalize effects. In this problem there are two factor for the rational allocation of resources: network bandwidth to operating conditions and the preference of the routes of transmission resources on the network in terms of the alleged destructive effects. The high degree of uncertainty inherent in the process reduces the feasibility of resource-intensive distribution algorithms. At the same time, it is necessary to obtain a variety of alternative solutions with diversity in terms of resistance to possible impacts. Since, if all routes pass through one transit node, all of them will be equally exposed to the threats of impact inherent in this node, and when it fails, there will be no alternative routes, which will require re-search of routes for the transfer of resources. Fast heuristics, based, for example, on greedy approaches, can not provide the proper diversity, therefore, even with clear formulations of optimization problems, fall into local Optima. For this reason, it is advisable to Supplement the initial solution formation procedure with borrowed solutions from the previously considered problems. In order to improve the solutions obtained at the stage of formation of the starting population, and to ensure the diversity of the descendants of these solutions, describing the routes of resource transfer, an evolutionary algorithm for finding the set of the shortest time routes of resource transfer. The peculiarity of the process of solving the problem proposed algorithm is to maintain the diversity of the population of solutions to possible threats.
Keywords: intelligent algorithm, distribution, fuzzy space, adaptation, transport networks
The cryptanalysis task with use of new model of optimizing strategy – the combined bioinspired algorithm is considered. Application of the combined bioinspired algorithm (a genetic algorithm and an algorithm of ant colonies) for realization the cryptanalysis of shifts codes is described. The description of the combined algorithm is provided, his distinctive features are noted, the demonstration example of realization the cryptanalysis the ciphered text line is described by this algorithm. In relation to this algorithm it is shown that the probability of receiving an optimal variant of the decision at realization of combined cryptanalysis algorithms can't be less probability of obtaining the optimal solution when using of the classical bioinspired algorithms.
Keywords: Cryptanalysis, the bioinspired algorithms, genetic algorithm, algorithm of bee colonies, a crossingover, a mutation, the code of shifts
The aim of this work is to develop a model of the agent changing its own structure, and movable in the fuzzy heterogeneous search space. The need of creating these search tools solutions is caused not only by lack of data on the solved optimization tasks, but also complex computational structures used in modern information systems. The agent is represented as a point in a fuzzy heterogeneous search space, the scale of each axis of the space built on the basis of the corresponding fuzzy sets. The movement of the agent along each axis is based on the permissible operations on the elements of the corresponding fuzzy sets. An example of agent movement along the axis specified on the basis of S-fuzzy sets. To determine the stopping agent developed automatic adaptation. It is shown that changing the position of the agent in the search space not always leads to the change of uncertainty inherent in the decision, described by the agent. The novelty of the approach is to develop adaptive algorithms move the agent in a heterogeneous search space. On the basis of machine adaptation is shown the scheme of movement of the agent in fuzzy search space along the axis specified with S - fuzzy sets.
Keywords: intelligent agent, heterogeneous structures, fuzzy space, adaptation, S-fuzzy set, automatic adaptation
The problem of functioning of difficult innovative enterprise elaborative modern наукоемкие technologies and wares is in-process considered, therefore the questions related to the priv at all levels of work of such enterprise are very actual and important. The most essential links and control parameters are distinguished, his periodicity is regulated. From the mathematical point of view a problem is taken to the decision of the optimization task put as a task of optimal allocation of resources with the scalar or vectorial criterion of optimization. A few approaches (methods and algorithms) of decision of this task are offered. Using the offered methodology, it is possible to conduct verification of work of enterprise from the point of view of providing of informative safety in acceptable time and with acceptable
Keywords: control parameters, scalar, vectorial criterion, testing, optimization
Presents an adaptive algorithm for solving the data flow of minimum cost in a static and a dynamic formulation. In the dynamic formulation of the problem change the matrix describing the network. An important component of the algorithm is to use the ideas of co-evolution, the choice of models of evolution (micro-, macro-, meta-evolution), adaptation to the external environment, hierarchical management of genetic and evolutionary search, local search solutions and the use of all modified by genetic operators based on greedy strategies and search methods. Given the example of the recommended data flow based on a known formula the definition of fuzzy proximity µx(b) variable b to the specified value. The adjustment of the process data under the recommended settings implemented with the help of machines adaptation. A distinctive feature of the algorithm is the use of machines adapted for determining the need for and the method of modifying intermediate solutions, as well as for a decision about modifying the previously obtained solutions.
Keywords: data flow, adaptation, evolution, optimization, evolutionary search
One of the components of the optimization problem is a set of constraints describing the basic requirements for solutions. So as to find a solution that fully satisfies all the wishes of the experts, it is not always possible, the search area extends through analysis of semi-feasible solutions. The adjustment of the system constraints may contribute to changes in the structure and appropriateness of the decisions. The paper shows the ways to form a generalized membership functions of vague constraints of optimization problems based on the logics of Reichenbach and Lukasiewicz. It is known that for the same design procedures in some cases it is necessary to obtain accurate solutions, while others just get approximate solutions. Therefore, we analyzed the features of membership functions obtained using these logics. It is shown that by implication deny rules to allow logic-based Reichenbach membership function takes values equal to one if the value of the function allow rule is one, or if the value of the function deny rule is zero. By implication deny rules in allowing based on Lukasiewicz logic membership function takes values equal to one if the value of the function allow rule is greater than the value of the function deny rules. Therefore, it can be argued that when designing systems with increased reliability (precision) is more expedient to use the function implications for Reichenbach deny rules in a permissive compared with the same implication by Lukasiewicz. The implication deny rules to allow for the Lukasiewicz appropriate to use when designing subsystems that perform secondary functions that are not systemically forming, etc.
Keywords: adaptation, fuzzy system, the implication, intellectual method, membership function, optimization, logic, Reichenbach, Lukasiewicz logic
To improve the quality of developed software for the controller is proposed to take into account the principles of programming in FBD and CFC. Gives practical recommendations for the use application of. Especially, this approach is acquitted for complex systems of automatic control and regulation of high risk. The proposed method reduces the requirements for qualification of personnel, increases productivity in extreme situations, reduces the possibility of errors in the adjustment programs.
Keywords: Programming principles, identity numbering algoblocks similar algorithms, the in-between software cleat, the principle of non-rigid numbering, quality and reliability of software.
Considered the proposed approach to the allocation of resource flows. The approach developed on the basis of the method of bee colonies. Experimentally determined the dependence of the error of the algorithm of the problem dimension. Shows the dependence of the distribution of resources from a number of iterations, and the power of the swarm, and dynamics approximation of the distribution to the optimum.
Keywords: optimization, distribution, collective adaptation, evolution, the error of the algorithm
The problems of mm propagation: rain attenuation, depolarization and gaseous absorption are considered, and the estimate of the energy potential of wireless mobile data transport networks is given. The dependence on the output power of the distance and the total losses, and the necessary signal levels for different types of modulation being shown. The estimate of the interfering transmitters effect of side lobes of the antenna is given.
Keywords: radio wave propagation, mm range, energy potential, rain clutter, side lobes, polar pattern
In article the problem of development of algorithm of bionic search for tasks about an extreme way on the column is considered. Now development of effective methods and algorithms for problems of this type is carried out many years, being on - former an actual problem. Development of bionic algorithms on the basis of evolutionary strategy is perspective, especially at the solution of labor-consuming problems of optimization. It is possible to carry to advantages: possibility of performance of evolutionary and genetic search, and also that OH consists in parallel generation of sets of quasioptimum alternative decisions with possible "migration" of decisions between these sets. Realization of the general strategy of adaptation of the size of population by use of sequence of a sieve of Eratosfen, allowing to adapt for characteristics of bionic search is offered.
Keywords: evolution, bionic algorithm, task about an extreme way, adaptation
The article considers the methodological issues of the economic assessment of damage from pollution, the difficulty of obtaining an objective assessment of the damage. Given shape ecosystem resilience to external influences as carrying capacity of the environment to the ejection of matter and energy into the environment as a result of economic activity. Carrying capacity of the environment is considered as a kind of natural resource potential of the rationale for the development of economic evaluation of the carrying capacity of a natural resource. The basic problems of economic evaluation of the implementation of the carrying capacity.
Keywords: Carrying capacity built-up areas, the economic carrying capacity assessment, the economic damage from pollution, ecosystem, the problem of realization of economic carrying capacity assessment
This scientific report is devoted to the solution of an optimization model of the complex energy efficient measurements’ choice problem, making use in the housing construction, on the bases of developed algorithm. The optimization algorithm was devised taking into account of the energy efficient technologies detailed classification including its cost and energy savings. In the article is offered a simplified formula of economic effect calculation for different energy efficient technologies. It introduces an application of optimization model of the complex energy efficient measurements’ choice by example of heat-insulating materials and the results of economic cost-effectiveness analysis of its using.
Keywords: energy saving, energy efficiency, energy efficient technologies’ classification, optimization of energy efficient measurements’ choice, ecological, heat consumption, economic cost-effectiveness