(eBook PDF) Linear Programming and Resource Allocation Modeling – Digital Ebook – Instant Delivery Download
Product details:
- ISBN-10 : 1119509440
- ISBN-13 : 978-1119509448
- Author:
Linear Programming and Resource Allocation Modeling begins by introducing primal and dual problems via an optimum product mix problem, and reviews the rudiments of vector and matrix operations. It then goes on to cover: the canonical and standard forms of a linear programming problem; the computational aspects of linear programming; variations of the standard simplex theme; duality theory; single- and multiple- process production functions; sensitivity analysis of the optimal solution; structural changes; and parametric programming. The primal and dual problems are then reformulated and re-examined in the context of Lagrangian saddle points, and a host of duality and complementary slackness theorems are offered. The book also covers primal and dual quadratic programs, the complementary pivot method, primal and dual linear fractional functional programs, and (matrix) game theory solutions via linear programming, and data envelopment analysis (DEA). This book:
Table contents:
1 Introduction 1
2 Mathematical Foundations 13
3 Introduction to Linear Programming 35
4 Computational Aspects of Linear Programming 43
5 Variations of the Standard Simplex Routine 71
6 Duality Theory 95
7 Linear Programming and the Theory of the Firm 123
8 Sensitivity Analysis 195
9 Analyzing Structural Changes 217
10 Parametric Programming 227
11 Parametric Programming and the Theory of the Firm 257
12 Duality Revisited 297
13 Simplex-Based Methods of Optimization 321
14 Data Envelopment Analysis (DEA) 373
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