Why don’t DES people need integrals and anti-differentiation when integrating sample paths?
Understand the Problem
The question is asking why discrete event simulation (DES) professionals do not require advanced calculus techniques such as integrals and anti-differentiation when working with sample paths in their simulations. The options provided offer various reasons related to statistical methods, the nature of arrival patterns, linear integration over time, and direct evaluation of sample paths.
Answer
Riemann sums approximate integrals without antiderivatives.
DES does not need integrals and anti-differentiation when integrating sample paths because they often use Riemann sums, which don't require finding antiderivatives. Instead, they approximate integrals by summing discrete points along a sample path.
Answer for screen readers
DES does not need integrals and anti-differentiation when integrating sample paths because they often use Riemann sums, which don't require finding antiderivatives. Instead, they approximate integrals by summing discrete points along a sample path.
More Information
DES practitioners often deal with data and scenarios where exact antiderivatives are impractical or unnecessary. They use numerical methods like Riemann sums to handle integration by focusing on practical approximations.
Tips
A common mistake is assuming all integrals require explicit antiderivatives, when numerical integration can often suffice.
Sources
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