This page has been robot translated, sorry for typos if any. Original content here.

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

Навчальний посібник it is written відповідно to programmers the course "Mathematicians програмування" for preparation of bachelors of 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 lennyi programvannya, teorii dvuhistosti, ekonomichnogo analizu optimalnykh planiv. Z shostogo on odnadtsyatii rozdіli rozglyadayutsya zablonnіsі problemy i matematichnogo programuvannya: tsіlochislovі, nelinіynі, dynamichny, stochastic, shredovo-linnіyni, problemi teorii іgor.

Teorotichniy material ілюструється numerically economical-mathematical models, yakі adequately відображають the basic виробничо-економічні processes. In a few places, there are ponadprogrammy material.

It is recommended to hold bachelor's degree in economics, economics and education, students in the early navigations, yakies for courses "Mathematica programuvannya" ta "Doslіdzhennya operatsi", and takozh for the hearing of rіznih courses and shkіl підвищення кваліфікації для економістів.

BBK 22.18



ZMIST


PEDEDMOVA
ROZDIL 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 ROSV'JaZOVANNA
2.1. Butts of incentives for economical and mathematical models of economical processes
2.2. The economical and mathematical model of problems of linear programming
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. The graphical method of solving problems of linear programming
2.8. The simplex method of outlining the tasks of linear programming
2.8.1. Povotkovy support plan
2.8.2. Perehid from one basic plan to the next
2.8.3. Optimal bottling. Criterion of optimality to 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
Supervised livelihoods
Butts that zavdannya for self-robotics
ROZDIL 3. THEORETICAL DOUBLES TWO TWO OCINS IN LINE PROGRAMMING
3.1. Economical Interpretation of the direct tasks of the linear program
3.2. Rules for the motivation of binary tasks
3.3. The basic theorems of the two-fold economy of the economy
3.3.1. The first theorem of the duality
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 functions in the function of functions
Заключні зауваження
Supervised livelihoods
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 the deficit and non-negative resources
4.5. Analiz koefіtsієntіv tsіlової функції
4.6. Analis of facial mattresses
4.7. Applied practical practice of bilingual studies in the analysis of economic problems
Заключні зауваження
Supervised livelihoods
Butts that zavdannya for self-robotics
ROZDIL 5. TRANSPORT TASK
5.1. Economical and mathematical formulation of transport tasks
5.2. Vlastivostі of the basic plans of transport tasks
5.3. Methods of motivating the basic plan of transport tasks
5.4. Vipadok virodzhennya basic plan for 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 extraordinarily fast
5.7. Dvahhetapna transport problem
5.8. Transport problem 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
Supervised livelihoods
Butts that zavdannya for self-robotics
ROZDIL 6. TSILOCHISLOVI OBJECTIVES OF THE LINE PROGRAMMAN. BASIC METHODS ЇX ROSVYAZUNANNYA TA ANALYSZ
6.1. Economical and mathematical formulation of the objectives of linear programming
6.2. Geometrical Interpretation of rozv'yakiv in the number of problems of linear programming on flat surfaces
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
6.6. Nablistheni methods. Decay vector method
6.7. Butts zashosuvannya tsіlochislichyh problems lіnіynogo programvannya u planuvanni v management vibrobnitsvom
Заключні зауваження
Supervised livelihoods
Butts that zavdannya for self-robotics
ROZDIL 7. PROBLEMS OF THE FREESTY-LINE PROGRAM. BASIC METHODS ЇX 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-лінійноної задачі зствняням до задачі лінійного програмування
Заключні зауваження
Supervised livelihoods
Butts that zavdannya for self-robotics
ROZDIL 8. OBJECTIVES OF THE NON-PROLIFTED PROGRAM. BASIC METHODS ЇX 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. The cleverness of the insane extras of function
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
Supervised livelihoods
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
Supervised livelihoods
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. Dvokhetapny tasks of stochastic programming
Заключні зауваження
Supervised livelihoods
Butts that zavdannya for self-robotics
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
Supervised livelihoods
RECOMMENDED LITERATURE