An Economic Interpretation of Linear Programming (eBook)
XIX, 454 Seiten
Palgrave Macmillan US (Verlag)
978-1-137-57392-6 (ISBN)
Quirino Paris spent his entire academic career at the University of California, USA, earning a PhD from Berkeley in 1966 and serving as Professor of Agricultural Economics at UC Davis from 1969. In 2011 he published a companion book titled Economic Foundations of Symmetric Programming. He is a Fellow of the American Applied Economic Association and of the European Association of Agricultural Economists.
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.
Quirino Paris spent his entire academic career at the University of California, USA, earning a PhD from Berkeley in 1966 and serving as Professor of Agricultural Economics at UC Davis from 1969. In 2011 he published a companion book titled Economic Foundations of Symmetric Programming. He is a Fellow of the American Applied Economic Association and of the European Association of Agricultural Economists.
1. Introduction to Linear Programming2. Primal and Dual LP Problems3. Setting Up LP Problems4. The Transportation and Transshipment Problems5. Spaces, Cones, Bases and Extreme Points6. Solving Systems of Equations7. Primal Simplex Algorithm: The Price-Taking Firm8. The Dual Simplex Algorithm9. Linear Programming and the Lagrangean Function10. The Artificial Variable Algorithm11. The Artificial Constraint Algorithm12. The Diet Problem Revisited13. Parametric Programming: Input Demand Functions14. Parametric Programming: Output Supply Functions15. Dealing with Multiple Optimal Solutions16. Solid Waste Management17. The Choice of Techniques in a Farm Production Model18. Cattle Ranch Management19. The Measurement of Technical and Economic Efficiency20. Decentralized Economic Planning21. Theorems of Linear Programming
Erscheint lt. Verlag | 29.4.2016 |
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Zusatzinfo | XIX, 454 p. |
Verlagsort | New York |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Informatik ► Software Entwicklung |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Wirtschaft ► Allgemeines / Lexika | |
Wirtschaft ► Volkswirtschaftslehre ► Ökonometrie | |
Schlagworte | algorithms • decentralized planning • demand schedule • diet problem • Duality • Efficiency • linear optimization • Linear Programming • multiple optimal solutions • price taker • programming • supply schedule • symmetry • transportation problem |
ISBN-10 | 1-137-57392-9 / 1137573929 |
ISBN-13 | 978-1-137-57392-6 / 9781137573926 |
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