Linear programming and resource allocation modeling / Michael J. Panik.

Format:

Book

Author/Creator:

Panik, Michael J., author.

Language:

English

Subjects (All):

Linear programming.

Resource allocation--Mathematical models.

Resource allocation.

Physical Description:

1 online resource (451 pages)

Edition:

1st edition

Place of Publication:

Hoboken, New Jersey : Wiley, 2019.

System Details:

text file

Summary:

Guides in the application of linear programming to firm decision making, with the goal of giving decision-makers a better understanding of methods at their disposal Useful as a main resource or as a supplement in an economics or management science course, this comprehensive book addresses the deficiencies of other texts when it comes to covering linear programming theory—especially where data envelopment analysis (DEA) is concerned—and provides the foundation for the development of DEA. 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: Appeals to those wishing to solve linear optimization problems in areas such as economics, business administration and management, agriculture and energy, strategic planning, public decision making, and health care Fills the need for a linear programming applications component in a management science or economics course Provides a complete treatment of linear programming as applied to activity selection and usage Contains many detailed example problems as well as textual and graphical explanations Linear Programming and Resource Allocation Modeling is an excellent resource for professionals looking to solve linear optimization problems, and advanced undergraduate to beginning graduate level management science or economics students.

Contents:

Introduction

Mathematical Foundations

Introduction to Linear Programming

Computational Aspects of Linear Programming

Variations of the Standard Simplex Routine

Duality Theory

Linear Programming and the Theory of the Firm

Sensitivity Analysis

Analyzing Structural Changes

Parametric Programming

Parametric Programming and the Theory of the Firm

Duality Revisited

Simplex-Based Methods of Optimization

Data Envelopment Analysis (DEA).

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-119-50946-7

1-119-50947-5

1-119-50945-9

OCLC:

1057657918