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Computational Techniques of the Simplex Method (Paperback, Softcover reprint of the original 1st ed. 2003)
Loot Price: R6,163
Discovery Miles 61 630
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Computational Techniques of the Simplex Method (Paperback, Softcover reprint of the original 1st ed. 2003)
Series: International Series in Operations Research & Management Science, 61
Expected to ship within 10 - 15 working days
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Linear Programming (LP) is perhaps the most frequently used
optimization technique. One of the reasons for its wide use is that
very powerful solution algorithms exist for linear optimization.
Computer programs based on either the simplex or interior point
methods are capable of solving very large-scale problems with high
reliability and within reasonable time. Model builders are aware of
this and often try to formulate real-life problems within this
framework to ensure they can be solved efficiently. It is also true
that many real-life optimization problems can be formulated as
truly linear models and also many others can well be approximated
by linearization. The two main methods for solving LP problems are
the variants of the simplex method and the interior point methods
(IPMs). It turns out that both variants have their role in solving
different problems. It has been recognized that, since the
introduction of the IPMs, the efficiency of simplex based solvers
has increased by two orders of magnitude. This increased efficiency
can be attributed to the following: (1) theoretical developments in
the underlying algorithms, (2) inclusion of results of computer
science, (3) using the principles of software engineering, and (4)
taking into account the state-of-the-art in computer technology.
Theoretically correct algorithms can be implemented in many
different ways, but the performance is dependent on how the
implementation is done. The success is based on the proper
synthesis of the above mentioned (1-4) components. Computational
Techniques of the Simplex Method is a systematic treatment focused
on the computational issues of the simplex method. It provides a
comprehensive coverage of the most important and successful
algorithmic and implementation techniques of the simplex method. It
is a unique source of essential, never discussed details of
algorithmic elements and their implementation. On the basis of the
book the reader will be able to create a highly advanced
implementation of the simplex method which, in turn, can be used
directly or as a building block in other solution algorithms.
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