scholarly journals A measure of the importance of roads based on topography and traffic intensity

2021 ◽  
Vol 13 (1) ◽  
pp. 28-58
Author(s):  
Кинга Влодарчик ◽  
Кшиштоф Шайовски ◽  
Kinga Włodarczyk ◽  
Krzysztof Szajowski
Keyword(s):  
Mathematical Models ◽  
Cooperative Games ◽  
Reliability Theory ◽  
Traffic Intensity ◽  
Entire System ◽  
Street Traffic ◽  
Suitable Measure

Mathematical models of street traffic allowing assessment of the importance of their individual segments for the functionality of the street system is considering. Based on methods of cooperative games and the reliability theory the suitable measure is constructed. The main goal is to analyze methods for assessing the importance (rank) of road fragments, including their functions. A relevance of these elements for effective accessibility for the entire system will be considered.

scholarly journals Identification of the objective function for optimization of a seasonal thermal energy storage system

2014 ◽  
Vol 35 (4) ◽  
pp. 69-81
Author(s):  
Jarosław Milewski ◽  
Łukasz Szabłowski ◽  
Wojciech Bujalski
Keyword(s):  
Energy Storage ◽  
Mathematical Models ◽  
Objective Function ◽  
Thermal Energy ◽  
Thermal Energy Storage ◽  
Storage System ◽  
Energy Storage System ◽  
Entire System ◽  
System Configuration ◽  
Thermal Energy Storage System

Abstract The article shows the proposed solution of the objective function for the seasonal thermal energy storage system. In order to develop this function the technological and economic assumptions were used. In order to select the optimal system configuration mathematical models of the main elements of the system were built. Using these models, and based on the selected design point, the simulation of the entire system for randomly generated outside temperatures was made. The proposed methodology and obtained relationships can be readily used for control purposes, constituting model predicted control (MPC).

scholarly journals How Market Design Emerged from Game Theory: A Mutual Interview

2019 ◽  
Vol 33 (3) ◽  
pp. 118-143 ◽  
Author(s):  
Alvin E. Roth ◽  
Robert B. Wilson
Keyword(s):  
Game Theory ◽  
Mathematical Models ◽  
Mechanism Design ◽  
Cooperative Games ◽  
Market Design ◽  
Mathematical Object ◽  
Noncooperative Games ◽  
Economic Environment ◽  
Theoretical Mechanism

We interview each other about how game theory and mechanism design evolved into practical market design. When we learned game theory, games were modeled either in terms of the strategies available to the players (“noncooperative games”) or the outcomes attainable by coalitions (“cooperative games”), and these were viewed as models for different kinds of games. The model itself was viewed as a mathematical object that could be examined in its entirety. Market design, however, has come to view these models as complementary approaches for examining different ways marketplaces operate within their economic environment. Because that environment can be complex, there will be unobservable aspects of the game. Mathematical models themselves play a less heroic, stand-alone role in market design than in the theoretical mechanism design literature. Other kinds of investigation, communication, and persuasion are important in crafting a workable design and helping it to be adopted, implemented, maintained, and adapted.

Handbook of Mathematical Models for Languages and Computation

2019 ◽  
Author(s):  
Alexander Meduna ◽  
Petr Horacek ◽  
Martin Tomko
Keyword(s):  
Mathematical Models

Dependence of Current Harmonics of Greenhouse Irradiators on Supply Voltage

2020 ◽  
pp. 85-88 ◽  
Author(s):  
Nadezhda P. Kondratieva
Keyword(s):  
Mathematical Models ◽  
Supply Voltage ◽  
Harmonic Distortion ◽  
Feasibility Studies ◽  
Power Losses ◽  
Voltage Level ◽  
Supply Networks ◽  
Current Harmonics ◽  
Cable Lines ◽  
Harmonic Composition

The article describes the results of the study concerning the effect of the voltage level on current harmonic composition in greenhouses irradiators. It is found that its change affects the level of current harmonics of all types of the studied greenhouse irradiators. With decrease of nominal supply voltage by 10 %, the total harmonic distortion THDi decreases by 9 % for emitters equipped with high pressure sodium lamps (HPSL), by 10 % for emitters with electrode-less lamps and by 3 % for LED based emitters. With increase of nominal supply voltage by 10 %, THDi increases by 23 % for lighting devices equipped with HPSL, by 10 % for irradiators with electrode-less lamps and by 3 % for LED based emitters. Therefore, changes of supply voltage cause the least effect on the level of current harmonics of LED based emitters and then the emitters with electrode-less lamps. Change of the level of supply voltage causes the greatest effect on the level of current harmonics of HPSL based irradiators. Mathematical models of dependence of THDi on the level of supply voltage for greenhouse emitters equipped with LED, electrode-less lamps and HPSL lamps were formulated. These mathematical models may be used for calculations of total current when selecting transformers and supply cable lines for greenhouse lighting devices, for design of new or reconstruction of existing irradiation systems of greenhouse facilities, and for calculation of power losses in power supply networks of greenhouse facilities during feasibility studies for energy saving and energy efficiency increasing projects.

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