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Frontline Systems, Inc.

	*Developers of Your Spreadsheet's Solver*

Solver Platform SDK - Source Code Examples

The Solver Platform SDK V7.2 includes a comprehensive set of 35 examples, with complete source code in C++, C#, Visual Basic, VB.NET, Java and MATLAB®, that show you how to define and solve every type of optimization and simulation problem -- from linear / integer programming to efficient portfolios and simulation optimization. We've even included source code of a high-performance Sudoku solver!

	Standard Examples
	Portfolio Optimization
	Cutting Stock Model
	Traveling Salesman Problem

Standard Examples

You can build and run the examples in each of the supported languages -- using Visual Studio 2005, Visual Studio .NET 2003, Visual C++ 6, Visual Basic 6, your favorite Java IDE, or MATLAB 7. When you run the "standard examples" application in each language, you can select an example from a dropdown list, see the results generated when you run the example, and simultaneously view the source code that produces those results. Below is a simple linear / integer programming example in C#:

SDK Example 2 - Integer Linear Programming

Below is a list of choices offered by the "standard examples" application:

	Linear Programming Example 1 [Dense Matrix]
	Integer Linear Programming Example 2 [Dense Matrix]
	Linear Programming Example 3 [Sparse Matrix]
	Markowitz Optimization with QP Solver
	Markowitz Optimization using Hessians
	Non-Linear Programming with GRG
	Non-Linear Programming with GRG using Gradients
	Non-Linear Programming with Evolutionary Solver
	Markowitz Optimization with SOCP Solver
	Quadratically Constrained Programming with SOCP Solver
	Second Order Cone Programming Example
	Exception Handling Example
	Reading an MPS or OSiL File
	Linear Programming Infeasibility Diagnosis
	Integer Programming Alloc2 [Accessing Multiple Solutions]
	Integer Programming with All-Different Constraint
	Sudoku Example, using All-Different Constraint
	Creating a Problem [Variable, Function Blocks]
	Creating a Problem [Adding Variable, Function Blocks]
	Using a Problem Object Array
	Traveling Salesman Problem 1 [All-Different Constraints]
	Traveling Salesman Problem 2 [All-Different Constraints]
	Simulation Example 1
	Simulation Example 2
	Simulation Example 3, with Distribution Fitting
	Simulation Statistical Functions Example
	Multiple Simulations Example
	Simulation Rank Correlations Example
	PSD Correlation Matrix Example
	Optimization within Simulation Example
	Simulation within Optimization Example
	Simulation Optimization and SIP/SLURPs

Portfolio Optimization

A Markowitz portfolio optimization example included with the SDK shows you how simple it is to compute a series of points on the efficient frontier, and display them in different ways using a standard Microsoft chart component. Here's an example of one of the chart displays:

SDK Example - Portfolio Optimization

Cutting Stock Model

A Gilmore-Gomory cutting stock example included with the SDK shows you how easy it is to define and solve "master" and "slave" problems, and use the results from one problem as inputs to the other problem, finding an optimal solution through an iterative process often called "column generation." Here's an example of one solution displayed by this application:

SDK Example - Cutting Stock

Traveling Salesman Problem

The classic Traveling Salesman Problem (TSP) is easy to solve using the "alldifferent" constraint supported by all Solver Engines in the Solver Platform SDK. Here's the display produced by the TSP example in Visual Basic 6. The same example in VB.NET, C#, C++, and Java uses a larger, higher resolution map of the United States.

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