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Lost and Found: The Math behind Search and Detection

CSEF · 2017 Mathematical Sciences

Stanley J. Wang · Santa Cruz High School, Santa Cruz, Santa Cruz County

Overview

Objectives/Goals This project uses mathematical concepts, specifically theoretical probability, to create an optimal search model for a target. Computer programs in C++ are also used to perform simulations and calculations. Methods/Materials I wrote my own code in C++ to perform sample calculations for simulations. Results We have created an optimal search and detection model using probability theory and other mathematical concepts. Conclusions/Discussion An optimal search strategy has been formulated, and can be used to find a lost target in almost any situation. This includes, but is not limited to, the work of rescue teams, the police, and the Navy.

Summary statement

I have developed an optimal search strategy, using both a mathematical method and with implementation in a C++.

Help received

Professor Atkinson from the Operations Research Department at the Naval Postgraduate School reviewed my results and provided his feedback.

Competition history

  • CSEF 2017 Mathematical Sciences · Entry S1526

Resources

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