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Mathematical programming - Nakonechniy S.І.

Mathematical programming - Nakonechniy S.І.

Nakonechny S. І., Savina S. S.

H-22 Mathematical Program : Navc. posib - K .: KNEU, 2003. - 452 p.

ISBN 966–574–538–7

Primary School is written in the program “Mathematical Programming” for training bachelors in economics. The ambassador has basic mathematical methods and models of economic systems and processes, which is the basis for accepting control solutions in real minds. We created the first in terms of the tasks assigned to the problems of a software program, the theory of binary, economic analysis of optimal plans. From each other, the rozglyaduyutsya razdukayutsya folding problems of mathematical programming: numbers, non-linear, dynamical, stochastic, shot-linear, non-theoretical problems.

Theoretical material іlustrutsya numerical economics and mathematical models, as appropriate adequately reflect the basic viromatic economic processes. In kіlkoh rozdіlah ponadprogramny material is induced.

It is recommended to bachelor

BBK 22.18



ZMIST


Peredomova
ROSDIL 1. SUBJECT, SPHERES AND PECULIARITIES OF STONING A MATHEMATICAL PROGRAMMING IN ECONOMY. CLASSIFICATION TASKS
1.1. Subject and subject of mathematical software
1.2. Mathematical statement of the problem of mathematical programming
1.3. Butt of economical and mathematical models
1.4. Bagatokriterіalna optimizatsiya
1.5. Historical dovdka
1.6. Classification of Mathematical Programming Tasks
1.7. Butt the economics of math programmatic tasks
ROSDIL 2. ZAGALNA THE PROBLEM OF A L_NY PROGRAMMING THAT DEYAKI Z METHODS В RETAILED
2.1. Buttress economical and mathematical models of economic processes and developments
2.2. Zagaln economically-mathematical model of the problem of the program of the program
2.3. Form write tasks of the program program
2.4. Geometrical inception of tasks of the user program
2.5. Fundamentals of the rosi'zkazv task lіnіynogo programnuvnya
2.6. A graphical method for the development of tasks in a software program
2.8. The simplex method for the development of tasks for a software program
2.8.1. Ground open plan
2.8.2. Referring to a single support plan to the next
2.8.3. Optimal roz'yazok. Criteria optimal plan
2.8.4. Distributing a problem using a software simplex method
2.8.6. Basis method
2.8.7. Zatsiklennya in the tasks of the program program lіnіnogo
2.8.8. Geometric interpretation of the simplex method
2.9. Modified simplex method
Conclusion
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ROZDIL 3. THEORIUM DOUBLESHEALS AND TA DOUBLEWARE OTSINKI AT A LINED PROGRAM
3.1. Ekonomicna іnterpretatsіya right ї that two tasks of the program іinіynogo
3.2. Rules for prompting two tasks
3.3. The basic theorem of binary and economic economics
3.3.1. Persha double theorem
3.3.2. Another double theorem
3.3.3. Third double theorem
3.4. Put the theory of the theory for the best possible plans directly in that task
3.5. Pіslyaoptimіzatsіyny analіz tasks linіynnogo programm
3.5.1. Analyze the range of the vector component of the vector
3.5.2. Analiz dіsabonu zmіni kodafіtsієntіv tіlovoї funktsі
3.5.3. Analiz dіsaponu zmіni kodfіtsієntіv matrixesі obmezhen
3.6. Dual simplex method
3.7. Parametric programming
3.7.1. Parameters of the vector vector
3.7.2. Parameters of the vector of a coded vector of function of a function
Conclusion
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ROSDIL 4. ANAL_Z LINE OF MODELS OF ECONOMICAL PROBLEMS
4.1. Butt of economics Іnterpretatsi betting tasks
4.2. Analiz roz'yazkіv conjugate economic and mathematical problems
4.3. Estimates of profitability of products, yak viroblyatsya, and new products
4.4. Analiz obmezheni defitsitnyh i nedefitsitnyh resources
4.5. Analiz kofіtsієntіv centers, functions
4.6. Analiz kofіtsієntіv matrixes obmezhen
4.7. The butt of the practical victorist of the two biennies of the analysic economical tasks
Conclusion
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ROZDIL 5. TRANSPORT TASK
5.1. Ekonomichna і mathematical setting transport problems
5.2. Powerful support plans for transport tasks
5.3. Method of supporting the support plan of the transport task
5.4. Vipadok virogenna support plan for transport tasks
5.5. Methodology for the transport task
5.5.1. The task, dvoytesta to transport
5.5.2. Method of potential development of transport problems
5.5.3. Monotonicity and Scripting Method of Potential
5.5.4. Butts the development of transport tasks by the method of potentials
5.5.5. Ugorsky method of development of transport tasks
5.6. Transport task with additional minds
5.7. Dvohetapna transport task
5.8. Transport task for criterion time
5.9. The development of transport problems on the least
5.9.1. Transport task in molds
5.9.2. Method of potency on the extent
5.10. Butt economical tasks, prearranged to transport models
Conclusion
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ROSDIL 6. COLORS OF THE TASKS OF THE LINEAL PROGRAM. BASIC METHODS ЇХ ROZV'YAZUVANNYA TA ANALІZU
6.1. Economical and mathematical statement of the number problem of the program program
6.2. Geometric information interpretation of ros'yazk_v of the number of tasks of the program on the area
6.3. Zagalnaya characteristics of the methods of development of the whole tasks of the program
6.4. Methodology. Method Gomori
6.5. Combinator methods. Method gilok that between
6.6. Nablizheni methods. Decay vector method
6.7. Butt zasosuvannya tsilochislovyh tasks lіnіnynogo programnuvnya have planuvannі that control vyrobnitstvom
Conclusion
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ROSDIL 7. TASKS FOR THE DROBOVO-LINEAL PROGRAMMING. BASIC METHODS ЇХ ROZV'YAZUVANNYA TA ANALІZU
7.1. Economical and mathematical formulation of the problem of fractional – linear programming.
7.2. Geometry іnterpretatsіya zadachі fractional-lіnіynogo programm
7.3. Rosy-shot shotgun-lіnіno tasks з zvedennyam to tasks і lіnіynogo programuvannya
Conclusion
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ROSDIL 8. PROBLEMS OF NONLINE PROGRAMMING. BASIC METHODS ЇХ ROZV'YAZUVANNYA TA ANALІZU
8.1. Economical and mathematical formulation of the problem of a non-programmed program
8.2. Geometric inception tasks for non-programmed software
8.3. Fundamentally difficult to solve the tasks of a non-programmed program
8.4. The classic method of optimization. Lagrange multipliers method
8.4.1. Smart and Mad Extremum Functions
8.4.2. Lagrange multipliers method
8.5. Neither minds іnnuvannya sіdlovoї points
8.6. Kuhn's theorem — Tucker
8.6.1. Opuscular Constants Functions
8.7. Oucle Programming
8.8. Quadratic software
8.8.1. Quadratic form and power
8.8.2. The method of solving quadratic program tasks
8.9. Ekonomichna іnterpretatsіya mnozhnikіv Lagrange
8.10. Gradient method
Conclusion
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ROZDIL 9. PROGRAM VOICE
9.1. Ekonomichna sutnіst tasks dynamic programnuvannya
9.2. The task of rozpodіl kapіtalovloden mіzh dvom pіdpriєmstvami on n rokіv
9.2.1. The method of recurrent sp_vv_dnoshen
9.3. The task of rozpodіl capitalist mіzh pіdpriєmstvami
9.4. The principle of optimality
9.5. Bagatokrokovy process priynyattya solution
9.6. Putting the tasks of the dynamic programmer’s tasks
Conclusion
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ROSDIL 10. STOKHASTICHNYA PROGRAM
10.1. Zagal'n is a mathematical formulation of a stochastic program problem.
10.2. Especially mathematically setting the problems of stochastic software
10.3. Butt economical tasks stochastic programuvannya
10.4. Single-task stochastic program problems
10.5. Two problems of stochastic software
Conclusion
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ROZDIL 11. TEORIYA ІGOR
11.1. Fundamentals of the theory of Igor
11.2. Klasifіkatsіya іgor
11.3. Matrix & іgri dvoh osіb
11.4. Graz zmіshanimi strategiyami
11.5. Geometric Interpretation Gri 2 x 2
11.6. Introduction of the matrix to the task of a programmatic program
Conclusion
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