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Mathematicians programvannya - Nakonechny S.I.

Mathematicians programvannya - Nakonechny S.I.

Nakonechny S.I., Savina S.S.

Н-22 Mathematics programm : Nav. Посіб. - К .: KNEU, 2003. - 452 p.

ISBN 966-574-538-7

Navchalny posbnik written before the program for the program "Mathematics programmers" for the preparation of bachelor's in economics. In the course of research, the basic mathematical methods of the model of economical systems and processes, the basis for the acquisition of managerial rulers in real life. Rozdili of the first in terms of priisvyacheny tasks lennyі programuvannya, teorії dvuhistostі, ekonomichnogo analizu optiminykh planіv. Z shostogo on odnadtsyatii rozdіli rozglyadayutsya zablonnіsі problemy mathematicheskogo programuvannya: tsіlochislovі, nelinіynі, dynamichny, stochastichny, shirovo-linnіyni, problemi teorii іgor.

Theoretical material is to be worked by numerically economical and mathematic models, which adequately imitate the basic vibro-economic processes. In kolkok rozdilyah imposed on the program material.

It is recommended to hold bachelor's degree in economics, economics, and student education for students of early naval assignments, yakies for courses "Mathematica programuvannya" and "Doslenenya operatsi", and for those who listen to russia courses and books for reading letters to economists.

BBK 22.18



ZMIST


PEDEDMOVA
ROSDIL 1. SUBJECT, SPHERIA TA OBOBILIVOSTY ZASTOSUVANNYA MATHEMATICAL PROGRAMMUNNYA IN ECONOMICS. CLASIFICATION OF TASKS
1.1. The subject of that subject is mathematical programming
1.2. Mathematical formulation of problems of mathematical programming
1.3. Приклад економіко-математичної моделі
1.4. Багатокритеріальна оптимізація
1.5. Історична довідка
1.6. Classification of problems of mathematical programming
1.7. Buttons of economical problems of mathematical programming
ROZDIL 2. ZAGALNA THE PROBLEM OF THE LINE PROGRAMMAN OF THOSE DECAYS OF METHODS ЇЇ ROSVILYAZANNA
2.1. Butts of incentives for economical and mathematical models of economic processes
2.2. The economical and mathematical model of problems of linear programming is legal
2.3. Forms of tasks recording of linear programming
2.4. Geometrical Interpretation of Problems of Linear Programming
2.5. The basic authorities of the rozv'yakiv tasks of the linear programming
2.6. Graph method of rozv'yazvannya tasks of linear programming
2.8. Simplex method of solving problems of linear programming
2.8.1. Povotkovy support plan
2.8.2. Perekhіd from one basic plan to the next
2.8.3. Optimal rozviyazok. Criterion of optimality for the plan
2.8.4. Rozv'yazavannya problemy lennyi programmannya simplex method
2.8.6. Unit basis method
2.8.7. Zatsiklennya in the tasks of literary programming
2.8.8. Geometric Interpretation of a Simplex Method
2.9. Modifikatsii simplex method
Заключні зауваження
Controlled feeding
Butts that zavdannya for self-robotics
ROZDIL 3. THEORETICAL DUALITY TWO TWO OCINS IN LINE PROGRAMMING
3.1. Eco-friendly Interpretation of the direct tasks of the linear programming
3.2. Rules for the motivation of binary tasks
3.3. The basic theorems of duality and economics
3.3.1. The first theorem of binary
3.3.2. The other theorem of binary
3.3.3. The third theorem of binary
3.4. Butts zastosuvannya teorії dvuhistostі for oderhodzhennya optimal planіv direct ya dvoystoy tasks
3.5. Післяоптимізаційний аналіз задач лінійного програмування
3.5.1. Analis to the range of the component of the vector of the
3.5.2. Analiz dіапазону зміни коефіцієнтів цільової функції
3.5.3. Аналіз діапазону зміни коефіцієнтів матриці омежень
3.6. The simplex method
3.7. Parametrically programmed
3.7.1. Parametric properties of the vector
3.7.2. Parametrical changes in the vector of the functions of the function of functions
Заключні зауваження
Controlled feeding
Butts that zavdannya for self-robotics
ROSDIL 4. ANALYSIS OF LINE MODELS OF ECONOMIC OBJECTIVES
4.1. Приклад економічної інтерпретації betting of conjugating tasks
4.2. Analisz rozv'yakіv conjugation ekonomiko-mathematicheskih problems
4.3. Оцінка рентабельності продукції, яка виробляється, і нової продукції
4.4. Analisis of deprivation and undifferentiation of resources
4.5. Analiz koefіtsієntіv tsіlової функції
4.6. Analisis of facial mattresses
4.7. Applied practical practice of the binary otsinok at analizі ekonomichnoї problemy
Заключні зауваження
Controlled feeding
Butts that zavdannya for self-robotics
ROZDIL 5. TRANSPORT TASK
5.1. Economical and mathematical formulation of transport tasks
5.2. Authority of the basic plans of transport tasks
5.3. Methods of motivating the basic plan of transport tasks
5.4. Vipadok virodzhennya basic plan of transport tasks
5.5. Methods for the development of transport tasks
5.5.1. Task, binary to transport
5.5.2. The method of potential transportation of tasks
5.5.3. Monotony and curriculum to the method of potentialities
5.5.4. Butts rozv'yavannya transport tasks by the method of potentsialyav
5.5.5. Угорський метод розв'язування транспортної задачиі
5.6. Transport problem with extraordinarial powers
5.7. Dvahhetapna transport task
5.8. The transport task for the critical hour
5.9. Розв'язування транспортної задачі на мережі
5.9.1. The transport problem in the form of molds
5.9.2. Method of potentiation on the least possible
5.10. Buttons of economical tasks, to be built up to transport models
Заключні зауваження
Controlled feeding
Butts that zavdannya for self-robotics
ROZDIL 6. TSILOCHISLOVI OBJECTIVES OF THE LINE PROGRAMMAN. BASIC METHODS Ї X ROSVYAZUNANNYA TA ANALYSZ
6.1. Economical and mathematical formulation of the objectives of linear programming
6.2. Geometrical Interpretation of rozv'yakіv tsilochislichnyh problems lіnіynogo programvannya on ploschiny
6.3. The characteristic of the method in the development of numerical problems of linear programming
6.4. Методи відтинання. Method Гоморі
6.5. Combinatory methods. The method is
6.6. Nablistheni methods. Decay vector method
6.7. Butts zashosuvannya tsіlochislichyh problems lіynіynogo programvannya u planuvannі v management vibrobnitsvom
Заключні зауваження
Controlled feeding
Butts that zavdannya for self-robotics
ROZDIL 7. PROBLEMS OF THE FREESTY-LINE PROGRAM. BASIC METHODS Ї X ROSVYAZUNANNYA TA ANALYSZ
7.1. Economical and mathematical formulation of problems of shot-and-mine programming
7.2. Geometrical Interpretation of tasks of shot-and-mine programming
7.3. Розв'язування дробово-лінійноїї problems in buildings up to tasks of linear programming
Заключні зауваження
Controlled feeding
Butts that zavdannya for self-robotics
ROZDIL 8. PROBLEMS OF NON-MINIMIZED PROGRAMMANN. BASIC METHODS Ї X ROSVYAZUNANNYA TA ANALYSZ
8.1. Economical and mathematical formulation of problems of non-linear programming
8.2. Geometrical Interpretation of Problems of Nonlinear Programming
8.3. The main difficulties in the development of the tasks of non-linear programming
8.4. Classical method of optimization. The Lagrange multiplication method
8.4.1. Wit and frenzy ekstremumi functions
8.4.2. The Lagrange multiplication method
8.5. Necessity of the sine point
8.6. The Kuhn-Tucker theorem
8.6.1. Опуклі й угнуті функції
8.7. Spoiled programmed
8.8. Quadratic programming
8.8.1. The quadratic form of that power
8.8.2. The method of solving the problems of quadratic programming
8.9. Економічна інтерпретація множів Lagrange
8.10. Gradient method
Заключні зауваження
Controlled feeding
Butts that zavdannya for self-robotics
ROSDIL 9. DYNAMICHNE PROGRAMMANNNAYA
9.1. The economical nature of the tasks of dynamical programming
9.2. The task of the rozpodil kapitalovkladen mizh duma pіdpriemstvami n n rockiv
9.2.1. The method of recurrent spivvidnoshen
9.3. The task of the rozpodil kapitalovkladen mіzh pіdpriєstvami
9.4. The principle of optimality
9.5. Bagatocrocus process priinyattya rishen
9.6. Butts rozv'yavannya tasks dynamical programvannya
Заключні зауваження
Controlled feeding
Butts that zavdannya for self-robotics
10. STOKHASTICHNE PROGRAMMANNNAYA
10.1. The mathematical formulation of tasks and stochastic programming
10.2. Specifics of the mathematical formulation of the problems of stochastic programming
10.3. Butts of economical tasks of stochastic programming
10.4. One-purpose tasks of stochastic programming
10.5. Dvoyhetapny tasks of stochastic programming
Заключні зауваження
Controlled feeding
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ROSDIL 11. THEOREY IGOR
11.1. Основныені поняття теорії ігор
11.2. Класифікація ігор
11.3. Матричні ігри двох осіб
11.4. Graz zimishanimi strategii
11.5. Geometrical Grid Interpretation 2 x 2
11.6. Зведення матричної гри до задачі лінійного програмування
Заключні зауваження
Controlled feeding
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