Remove the Need to Simplify
Many business problems defy traditional optimization techniques because they contain complicated, yet real-world, structures or uncertainty. Optimization modelers are forced to simplify business problems to use available techniques, essentially forcing square pegs into round holes. While the solutions they find might be mathematically optimal, they do not solve the original, real-world problems.
Vanguard has no restrictions on linearity, discontinuity, stochasticity, and other model characteristics that limit the applicability of virtually all other optimization tools. With Vanguard, you can model the real business problems you face.
Easily Describe Your Decision Problem
Health Cost Markov Simulation
As long as you can quantify your problem, Vanguard can optimize your decisions. First, you describe your goal to Vanguard; that is, what you want to improve. For example, you might want to minimize costs, reduce inventory, or maximize customer service levels. Then, you describe your business constraints, such as a $5 million budget or a scheduling restriction of no more than 12 people on a shift. Finally, tell Vanguard what decisions you can make and how they impact your objective and constraints. Click Run and see your results.
Solve Your Million Dollar Problems

Markov Simulation Results
The many moving parts of real-world business problems make them difficult to comprehend and arduous to solve. Vanguard models these moving parts and accounts for their interactions. It then creates and evaluates millions of potential strategies and identifies the ones that best achieve your goals. It's like having a team of a thousand analysts simultaneously evaluating thousands of strategies. Vanguard provides the same results in just a few seconds and at a fraction of the cost.
Account for Risk and Uncertainty

Risk Aversion (Utility)
Because very little in the business world is known with certainty, Vanguard lets you use fuzzy values to reflect your assumptions about risk and uncertainty. For each of the millions of strategies it might evaluate, Vanguard uses your fuzzy values to simulate thousands of “what if” scenarios in assessing how well the strategy will perform. Vanguard reviews the results and identifies your most robust strategies: those that will perform best in an uncertain future.
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