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ORMM
Book |
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The materials on this
site support the book Operations Research Models and
Methods, published
by John Wiley and Sons in 2003. The book is designed
to bridge the gap between theory and practice by presenting
the tools and techniques most suited for modern operations
research. A principal goal is to give engineers, analysts,
and decision makers a larger appreciation of the role
of operations research (OR) through examples of its application
and by explanation of its solution methodologies.
Topics are structured along functional
lines and span mathematical programming, stochastic
processes, and simulation. The presentation is designed
to give a full picture of the relationships that exist
among modeling, analysis, computations, algorithmic
implementation, and decision-making. Separate chapters
are included on models and methods for each topic.
By separating models and methods in a formal way, those
whose main interests do not lie in the mathematics
of OR can study the modeling material without intimidation.
For those who have the motivation or need to understand
the mathematics, a simple but rigorous development
of OR methods is provided.
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Supplements |
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This page provides
an index to the supplements to the chapters of the text
Operations Research Models and Methods. We also provide
several new chapters. All supplements are PDF documents.
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Solutions
to Exercises |
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Each chapter of the book has extensive
exercises. Solutions to the Exercises in PDF, Microsoft
Word and Excel models are available through the John
Wiley Website.
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Student
Resources |
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This page provides a wide variety
of links to resources on this site.
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Instruction |
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The ORMM site has an entire section devoted to instructional
resources. The link above opens the index page to that
section. We provide below links to specific course
materials.
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Operations
Research Models |
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Most operations research studies involve the construction
of a mathematical model. The model is a collection
of logical and mathematical relationships that represents
aspects of the situation under study. Models describe
important relationships between variables, include
an objective function with which alternative solutions
are evaluated, and constraints that restrict solutions
to feasible values. For this topic we investigate
the range of models that are available to the OR
analyst.
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Integer
Programming |
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Integer
programming is concerned with optimization problems
in which some of the variables are required to take
on discrete values. Rather than allow a variable
to assume all real values in a given range, only
predetermined discrete values within the range are
permitted. In most cases, these values are the integers,
giving rise to the name of this class of models. This topic links to resources
that describe models, methods, computational methods and instructional materials.
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Network
Flow Programming |
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Situations
arising from the fields of transportation, water
resources, manufacturing and many others give rise
to network flow models. A flow network is a collection
of nodes and arcs. Each arc passes from one node
to another and carries a commodity called flow. A
requirement is that flow be conserved at each node.
The optimization problem is to find the flow in each
arc that minimizes the total cost of the flow in
the network. The topic contains articles on modeling,
finding solutions, and algorithms that solve specific
network optimization problems.
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Production
Systems |
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The
OM/IE site holds a variety of material for the modeling
and analysis of production systems. Here we include
a set of PowerPoint presentations for a course. The
material supports the Process Flow add-in.
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Engineering
Economics |
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Here
we include a set of PowerPoint presentations used
in an Engineering Economics course. The page also
lists add-ins that are relevant to the subject.
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