The Allen-Cahn equation with dynamic boundary conditions and mass constraints

The Allen-Cahn equation, coupled with dynamic boundary conditions, has recently received a good deal of attention. The new issue of this paper is the setting of a rather general mass constraint which may involve either the solution inside the domain or its trace on the boundary. The system of nonlinear partial differential equations can be formulated as variational inequality. The presence of the constraint in the evolution process leads to additional terms in the equation and the boundary condition containing a suitable Lagrange multiplier. A well-posedness result is proved for the related initial value problem.Comment: Key words: Allen-Cahn equation, dynamic boundary condition, mass constraint, variational inequality, Lagrange multiplie

A Framework for Centralized Traffic Routing in Urban Areas

Dealing with the ever-increasing demand for traffic management is one of the main challenges of the 21st century. The issue is much more apparent in urban areas during rush hours. Traffic congestion causes economic losses due to delays and increased fuel consumption and, on top of that, is a major health risk. Intelligent centralized traffic routing is an important concept aiming at reducing traffic congestion in urban areas by more effectively utilizing road networks. In this demo, we present a framework that, in a nutshell, integrates techniques for intelligent centralized traffic routing into the well-known SUMO simulator, so these techniques can be evaluated in realistic settings on real/realistic datasets. In particular, the framework automatically identifies “problematic” urban regions by analyzing historical traffic data, then simplifies the road networks by precomputing promising routes (for each considered traffic flow), and finally, leverages a planning-based approach to generate routes. Our framework is evaluated on a real dataset from Dublin's metropolitan area

USAGE OF RAMSEY PRICING IN COMMUNICATIONS SECTOR

This paper is focused on Ramsey pricing usage in practice, concretely Ramsey pricing nowadays has found out usage in mobile networks sector. Paper points out certain problems with implementation of this pricing into practice as well regarding also character of communications sector as network sector. Ramsey approach is used also within gradient method application for increase of operator´s economical effect and social utility considering served locality largeness

Impact of a New Concept of Universal Service Obligations on Revenue Increase in the Post of Serbia

The European postal directives and Serbian legislation as well define the quality standards for universal service obligations at the aggregate level, i.e. for all postal items transferred by the postal operator. This paper proposes a new concept where the transit time is defined by the customer and specified for each shipment. The paper considers three different models of this new concept. However, the one where a customer could choose between two alternatives: D+1 and D+3 transfer, is analysed in details. By using the attitudes of examined customers, forecasting methods and analysis of revenues from the past, it is assessed at what price the new postal service should be offered to achieve the highest revenue. The proposed methodology was tested and verified in the case of the Post of Serbia. The results indicate that the best would be to offer the service D+1 at the 40% increased price compared to the existing prices.</p

ENVIRONMENTAL PERFORMANCE OF THE TRANSPORT SECTOR

Příspěvek se zabývá výkonností dopravy ve vztahu k životnímu prostředí, respektive konkrétně ve vztahu ke kvalitě ovzduší. Poukazuje na aktuální problémy, nastiňuje úspěšná řešení. Příspěvek také analyzuje vývoj objemu dopravy, jakožto klíčového aspektu negativního působení dopravy na životní prostředí, zabývá se konkrétními dopady dopravy na kvalitu ovzduší.Paper deals with the performance of transport in relation to environment, respectively to the air quality. It points out current problems, describes success solutions. The paper also analyse development of transport volume – key aspect of negative transport impact on environment, it deals with the concrete impacts of transport on air quality

VERIFICATION OF HYPOTHESIS OF TRANSPORT AND ECONOMY INTERACTION MODEL

Cílem tohoto příspěvku je ověření hypotéz, jež hovoří o vzájemném působenídopravního a ekonomického systému v různých časových horizontech. Výchozízákladnu s dílčími hypotézami tvoří interakční model vazeb dopravního aekonomického systému. Ověření těchto hypotéz je postaveno na matematickémmodelování za použití statistických metod prostřednictvím vybraných klíčovýchukazatelů obou systémů.The aim of this contribution is verification of hypothesis, which speaks aboutmutual influence of transport and economical system in various time horizons. Theresearch basis with partial hypothesis is interactive relation model of transport andeconomical system. Verification of this hypothesis is based on mathematicalmodelling by usage of statistical methods working with selected key indicators ofboth systems

MODELING OF TRANSPORT DEMAND IN RELATION TO COMPETITION ON TRANSPORT MARKET

This article deals with modeling of transport demand and its requirements in relation to competitive environment of transport market. Basic factors with influence on transport demand are outlined here as well both from macroeconomical viewpoint and from transport system viewpoint. Article also emphasizes interdependent relations in transport and economy and the main aspects of competition on transport market

PRICE REGULATION MODEL FOR POSTAL SERVICES

The method of price regulation of the domestic postal services within the regulation used in the Czech postal sector is not suitable. A more effective and more transparent method of price regulation of postal services would be the price-cap method which is already used in several EU member states. There is the need to consider the necessary scope of that price regulation, i.e. which concrete postal services should be regulated before the application of this regulation method