Filling the need for an introductory book on linear programming
that discusses the important ways to mitigate parameter
uncertainty, Introduction to Linear Optimization and Extensions
with MATLAB(r) provides a concrete and intuitive yet rigorous
introduction to modern linear optimization. In addition to
fundamental topics, the book discusses current linear optimization
technologies such as predictor-path following interior point
methods for both linear and quadratic optimization as well as the
inclusion of linear optimization of uncertainty i.e. stochastic
programming with recourse and robust optimization.
The author introduces both stochastic programming and robust
optimization as frameworks to deal with parameter uncertainty. The
author s unusual approach developing these topics in an
introductory book highlights their importance. Since most
applications require decisions to be made in the face of
uncertainty, the early introduction of these topics facilitates
decision making in real world environments. The author also
includes applications and case studies from finance and supply
chain management that involve the use of MATLAB.
Even though there are several LP texts in the marketplace, most
do not cover data uncertainty using stochastic programming and
robust optimization techniques. Most emphasize the use of MS Excel,
while this book uses MATLAB which is the primary tool of many
engineers, including financial engineers. The book focuses on
state-of-the-art methods for dealing with parameter uncertainty in
linear programming, rigorously developing theory and methods. But
more importantly, the author s meticulous attention to developing
intuition before presenting theory makes the material come alive.
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