Selection and Validation of the Mathematical Model for the Solution of the Optimization Problem of Fuel Cost Efficiency Improvement of the Locomotive Diesel Engines

2017 ◽  
pp. 31-47
Author(s):  
Alexandr Anisimov ◽  
Vitaly Chetvergov
Keyword(s):  
Mathematical Model ◽  
Diesel Engines ◽  
Cost Efficiency ◽  
Optimization Problem ◽  
Efficiency Improvement ◽  
Fuel Cost ◽  
The Mathematical Model ◽  
Locomotive Diesel

scholarly journals Introducing a Conditional Ghost Correction Into the Vector Method

1984 ◽  
Vol 6 (2) ◽  
pp. 117-123 ◽  
Author(s):  
H. Schaeben
Keyword(s):  
Mathematical Model ◽  
Quadratic Programming ◽  
Optimization Problem ◽  
Linear Equations ◽  
Singular System ◽  
Orientation Distribution ◽  
Mathematical Approach ◽  
System Of Linear Equations ◽  
Vector Method ◽  
The Mathematical Model

The concept of conditional ghost correction is introduced into the vector method of quantitative texture analysis. The mathematical model actually chosen here reduces the texture problem to one of quadratic programming. Thus, a well defined optimization problem has to be solved, the singular system of linear equations governing the correspondence between pole and orientation distribution being reduced to a set of equality constraints of the restated texture problem. This new mathematical approach in terms of the vector method reveals the modeling character of the solution of the texture problem provided by the vector method completely.

scholarly journals METHODS OF FORMULATING AND SOLVING OPTIMIZATION PROBLEMS OF CUTTING LOGS OF LARGE SIZE BY BAR-SAWING METHOD WITH CUTTING OUT ONE BAR AND FIVE PAIRS OF SIDE EDGING BOARDS WITH SUBSEQUENT SAWING LUMBER FOR EDGED BOARDS

2017 ◽  
Vol 7 (1) ◽  
pp. 137-150
Author(s):  
Агапов ◽  
Aleksandr Agapov
Keyword(s):  
Mathematical Model ◽  
Objective Function ◽  
Optimization Problem ◽  
Optimization Problems ◽  
Target Function ◽  
Cross Sectional ◽  
Optimization Task ◽  
Cutting Out ◽  
The Mathematical Model ◽  
The Relationship

For the first time the mathematical model of task optimization for this scheme of cutting logs, including the objective function and six equations of connection. The article discusses Pythagorean area of the logs. Therefore, the target function is represented as the sum of the cross-sectional areas of edging boards. Equation of the relationship represents the relationship of the diameter of the logs in the vertex end with the size of the resulting edging boards. This relationship is described through the use of the Pythagorean Theorem. Such a representation of the mathematical model of optimization task is considered a classic one. However, the solution of this mathematical model by the classic method is proved to be problematic. For the solution of the mathematical model we used the method of Lagrange multipliers. Solution algorithm to determine the optimal dimensions of the beams and side edging boards taking into account the width of cut is suggested. Using a numerical method, optimal dimensions of the beams and planks are determined, in which the objective function takes the maximum value. It turned out that with the increase of the width of the cut, thickness of the beam increases and the dimensions of the side edging boards reduce. Dimensions of the extreme side planks to increase the width of cut is reduced to a greater extent than the side boards, which are located closer to the center of the log. The algorithm for solving the optimization problem is recommended to use for calculation and preparation of sawing schedule in the design and operation of sawmill lines for timber production. When using the proposed algorithm for solving the optimization problem the output of lumber can be increased to 3-5 %.

Multi-Objective Optimization Design of Screw Conveyor Using Genetic Algorithm

2013 ◽  
Vol 732-733 ◽  
pp. 402-406
Author(s):  
Duan Yi Wang
Keyword(s):  
Genetic Algorithm ◽  
Mathematical Model ◽  
Optimization Design ◽  
Optimization Problem ◽  
Machine Design ◽  
Screw Conveyor ◽  
Optimized Design ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
The Mathematical Model

The weight minimum and drive efficiency maxima1 of screw conveyor were considered as double optimizing objects in this paper. The mathematical model of the screw conveyor has been established based on the theory of the machine design, and the genetic algorithm was adopted to solving the multi-objective optimization problem. The results show that the mass of spiral shaft reduces 13.6 percent, and the drive efficiency increases 6.4 percent because of the optimal design based on genetic algorithm. The genetic algorithm application on the screw conveyor optimized design can provided the basis for designing the screw conveyor.

Research on Multi-Objective Transmission Planning in Electricity Markets

2012 ◽  
Vol 516-517 ◽  
pp. 1429-1432
Author(s):  
Yang Liu ◽  
Xu Liu ◽  
Feng Xian Cui ◽  
Liang Gao
Keyword(s):  
Genetic Algorithm ◽  
Mathematical Model ◽  
Genetic Algorithms ◽  
Electricity Markets ◽  
Optimization Problem ◽  
Nsga Ii ◽  
Transmission Planning ◽  
Multi Objective ◽  
Complex Optimization ◽  
The Mathematical Model

Abstract. Transmission planning is a complex optimization problem with multiple deciding variables and restrictions. The mathematical model is non-linear, discrete, multi-objective and dynamic. It becomes complicated as the system grows. So the algorithm adopted affects the results of planning directly. In this paper, a fast non-dominated sorting genetic algorithm (NSGA-II) is employed. The results indicate that NSGA-II has some advantages compared to the traditional genetic algorithms. In transmission planning, NSGA-II is feasible, flexible and effective.

scholarly journals Shakedown of Composite Frames Taking into Account Plastic and Brittle Fracture of Elements

2015 ◽  
Vol 15 (4) ◽  
pp. 5-21 ◽  
Author(s):  
Piotr Alawdin ◽  
George Bulanov
Keyword(s):  
Mathematical Model ◽  
Cyclic Loading ◽  
Brittle Fracture ◽  
Optimization Problem ◽  
Shakedown Analysis ◽  
Composite Frames ◽  
Composite Frame ◽  
Plane Frames ◽  
Low Cyclic Loading ◽  
The Mathematical Model

abstract In the paper the mathematical model of the optimization problem of limit and shakedown analysis for composite plane frames, containing elastic-plastic and brittle elements under low-cyclic loading, is proposed. It is assumed that the load varies randomly within the specified domain, and limited plastic redistribution of forces in such structures occurs. An example of the shakedown analyses of the composite frame is given.

scholarly journals OPTIMIZATION OF UNIT LOAD FORMATION TAKING INTO ACCOUNT THE MASS OF PACKAGING UNITS

2014 ◽  
Vol 32 (4) ◽  
pp. 73-80
Author(s):  
Kamil Popiela ◽  
Mariusz Wasiak
Keyword(s):  
Mathematical Model ◽  
Optimization Problem ◽  
Mathematical Formulation ◽  
Vertical Axis ◽  
Unit Load ◽  
Unit Formation ◽  
Proposed Model ◽  
Axis Rotation ◽  
The Mathematical Model

This article presents a mathematical formulation of the optimization problem of loading unit formation taking into account the mass of packaging units. Proposed model can be applied to optimize the arrangement of non-uniform cubical loading units in loading spaces. The model ensures possibility of defining various dimensions, masses, resistances of particular packaging units and their vertical axis rotation. Within the constraints of formulating optimization problem, taking into account masses and resistances ensures that all packaging units will rest on a pallet or on other packaging units, and the surface of contact between loading units guarantees stability of units arranged in subsequent layers. The mathematical model was verified. The paper provides an appropriate calculation example.

scholarly journals Design of State Rail and Bus Transportation Scheme with Bi-Level Optimization Model

2017 ◽  
Vol 15 (4) ◽  
pp. 2-9 ◽  
Author(s):  
K. Pavlova ◽  
T. Stoilov
Keyword(s):  
Mathematical Model ◽  
Optimization Model ◽  
Optimization Problem ◽  
Transportation Network ◽  
Rail Transport ◽  
Maximal Flow ◽  
Passenger Transport ◽  
The Mathematical Model ◽  
Transportation Route ◽  
Bus Transportation

Abstract The increase of the rail public transportations is searched in directions for redistribution of the passenger travels between rail and bus transportation. The rail transport benefits by increasing it schedule for places where the transportation capacities on appropriate directions is not achieved. A mathematical model has been derived to assess the potential of the rail passenger transport to increase his capacity and efficiency. This potential has been evaluate in comparison with the competition of the bus transportation. A specific transportation route has been chosen from Sofia to Varna and the potential for increase of the rail transport has been evaluated. The mathematical model uses bi-level optimization problem, related to the evaluation of a maximal flow in a transportation network.

OPTIMIZATION OF ICEBERG TOWING VELOCITY FOR WATER SUPPLY

2008 ◽  
Vol 32 (3-4) ◽  
pp. 537-548
Author(s):  
Simon Lefrançois ◽  
Philippe Doyon-Poulin ◽  
Louis Gosselin ◽  
Marcel Lacroix
Keyword(s):  
South Africa ◽  
Mathematical Model ◽  
Water Supply ◽  
Fuel Consumption ◽  
Fresh Water ◽  
Optimization Problem ◽  
Cost Ratio ◽  
Fuel Cost ◽  
Benefit Function ◽  
Total Fuel Consumption

A mathematical model for determining the optimum towing velocity of tabular icebergs is presented. The optimization problem is formulated in terms of a benefit function that takes into account the ice mass delivered and the total fuel consumption for the tow. Results indicate that the optimum towing velocity is mainly affected by the water-to-fuel cost ratio. It is shown that towing icebergs from Antarctica to South Africa is a profitable way of supplying fresh-water provided that the towing velocity is optimized with the proposed method.

Research on Component Allocation Problem for Chip Mounter Based on MATLAB

2014 ◽  
Vol 971-973 ◽  
pp. 663-667
Author(s):  
Xuan Jun Dai
Keyword(s):  
Mathematical Model ◽  
Natural Selection ◽  
Production Line ◽  
Surface Mount Technology ◽  
Efficiency Improvement ◽  
Component Distribution ◽  
Competitive Strength ◽  
Component Allocation ◽  
Short Time ◽  
The Mathematical Model

With the widespread use of the Surface Mount Technology (SMT) in electronics assembly, the efficiency of SMT production line is the most important to increase the number of products quickly, enhance the market share and competitive strength. And the key point of efficiency improvement for SMT production line is the reasonable component distribution in chip mounter. In this paper, for a widely used SMT production line, its mathematical model of component distribution for two chip mounters was established. By identifying the model constrains and processing of the mathematical model, then the mathematical model was solved through Particle Swarm Optimization (PSO) based on natural selection with MATLAB. By contrast with the MATLAB function-bintprog solving, the results by PSO based on natural selection needs less iteration and short time, and the optimal component distribution program was efficiently obtained.

Metodika postanovki i resheniya zadachi optimizacii raskroya pilovochnika krupnih razmerov s vipilivaniem dvuh brusev i chetireh par bokovih obreznih dosok s uchetom shirini propila

2016 ◽  
Author(s):  
А.И. Агапов
Keyword(s):  
Mathematical Model ◽  
Objective Function ◽  
Optimization Problem ◽  
Optimization Problems ◽  
Classical Method ◽  
Optimal Size ◽  
Cross Sectional ◽  
Reduced Dimensions ◽  
Method Of Lagrange Multipliers ◽  
The Mathematical Model

Предложена математическая модель задачи оптимизации для такой схемы раскроя пиловочника, включая целевую функцию и уравнения связи. В статье рассматривается пифагорическая зона пиловочника. Поэтому целевая функция представлена в виде суммы площадей поперечных сечений обрезных досок. Уравнения связи представлены в виде уравнений, в которых установлена взаимосвязь диаметра пиловочника в вершинном торце с размерами получаемых обрезных досок. Эта взаимосвязь описывается на основе использования теоремы Пифагора. Такое представление математической модели задачи оптимизации вполне логично. Однако решение такой математической модели классическим методом оказалось проблематичным. Для решения математической модели использовался метод множителей Лагранжа. Предложен алгоритм решения задачи для определения оптимальных размеров брусьев и боковых обрезных досок с учетом ширины пропила. Используя численный метод, определены оптимальные размеры брусьев и досок, при которых целевая функция принимает максимальное значение. Оказалось, что с увеличением ширины пропила толщина брусьев возрастает, а размеры боковых обрезных досок уменьшаются. Размеры крайних боковых досок с увеличением ширины пропила уменьшаются в большей степени, чем боковые доски, которые расположены ближе к центру бревна. Алгоритм решения задачи оптимизации рекомендуется использовать для расчета и составления поставов при проектировании и эксплуатации лесопильных линий по производству пиломатериалов. При использовании предлагаемого алгоритма решения задачи оптимизации выход пиломатериалов повышается на 3-5%. For the first time made up a mathematical model of optimization problems for this scheme cutting logs, including the objective function and constraint equations. The article discusses pifagoricheskaya zone logs. Therefore, the objective function is represented as the sum of the cross sectional area of ​​edging boards Equations communication presented in the form of equations, in which the interrelation diameter logs in the vertex end with the size of the edging boards. This relationship is described based on the use of the Pythagorean theorem. This representation of a mathematical model of the optimization problem is quite logical. However, the solution to this mathematical model of the classical method proved problematic. In order to solve the mathematical model of the method of Lagrange multipliers. An algorithm for solving the problem to determine the optimal size of the boards and the side edging boards considering cutting width. Using a numerical method for the optimum size of beams and boards, in which the objective function takes the maximum value. It was found that with an increase in the thickness of the boards of the kerf increases and the size of the lateral edging boards are reduced. Dimensions outer sideboards with increasing kerf reduced to a greater extent than the side boards, which are located closer to the center of the log. An algorithm for solving the optimization problem it is recommended to use for calculation and put in the design and operation of the saw lines for the production of lumber. When using the proposed algorithm for solving the optimization problem lumber output increases by 3-5 percent.

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