An Economic Interpretation of Linear Programming

Specificaties
Gebonden, blz. | Engels
Palgrave Macmillan US | e druk, 2015
ISBN13: 9781137573919
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Juridisch :
Palgrave Macmillan US e druk, 2015 9781137573919
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This text covers the basic theory and computation for mathematical modeling in linear programming. It provides a strong background on how to set up mathematical proofs and high-level computation methods, and includes substantial background material and direction. Paris presents an intuitive and novel discussion of what it means to solve a system of equations that is a crucial stepping stone for solving any linear program. The discussion of the simplex method for solving linear programs gives an economic interpretation to every step of the simplex algorithm. The text combines in a unique and novel way the microeconomics of production with the structure of linear programming to give students and scholars of economics a clear notion of what it means, formulating a model of economic equilibrium and the computation of opportunity cost in the presence of many outputs and inputs.

Specificaties

ISBN13:9781137573919
Taal:Engels
Bindwijze:gebonden
Uitgever:Palgrave Macmillan US

Inhoudsopgave

<p>1. Introduction to Linear Programming<br>2. Primal and Dual LP Problems<br>3. Setting Up LP Problems<br>4. The Transportation and Transshipment Problems<br>5. Spaces, Cones, Bases and Extreme Points<br>6. Solving Systems of Equations<br>7. Primal Simplex Algorithm: The Price-Taking Firm<br>8. The Dual Simplex Algorithm<br>9. Linear Programming and the Lagrangean Function<br>10. The Artificial Variable Algorithm<br>11. The Artificial Constraint Algorithm<br>12. The Diet Problem Revisited<br>13. Parametric Programming: Input Demand Functions<br>14. Parametric Programming: Output Supply Functions<br>15. Dealing with Multiple Optimal Solutions<br>16. Solid Waste Management<br>17. The Choice of Techniques in a Farm Production Model<br>18. Cattle Ranch Management<br>19. The Measurement of Technical and Economic Efficiency<br>20. Decentralized Economic Planning<br>21. Theorems of Linear Programming</p>

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        An Economic Interpretation of Linear Programming