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Mathematical Optimization

Program Description

The program goal is to develop novel theory, algorithms, and software for the many classes of Mathematical Optimization problems that arise in support of decision, design, and allocation problems confronting the U.S. Air Force and Space Force. Areas of fundamental interest include resource allotment, planning, logistics, interdiction, engineering design, resiliency, and scheduling. Problems can be deterministic in that input parameters and objectives are known with certainty, or can have data uncertainty that is addressed using such methods as stochastic programming and robust optimization. The research, while of fundamental importance to such problems, can also profoundly impact related areas of study, including the operation of autonomous vehicles and the effectiveness of machine learning.

The suggested application process is as follows. Submit an approximate four-page white paper to the Program Officer that summarizes the research to be performed, the importance, the approach, a brief summary of qualifications, and an estimate of the total cost. If desired, additional pages can describe qualifications and bibliography.

Basic Research Objectives can be found in this program’s section of the BAA.

The paper should not be overly-technical but instead provide a clear description of the problem(s) to be solved, the approach and novelty, and the potential application to DoD missions. Then, depending on such factors as reviews and available budget, select white papers will be chosen for full-proposal development. A key evaluation criterion is the identification of innovative idea(s) that show promise for advancing the field of mathematical optimization, with reference to the optimization/mathematical programming literature.

Solicitation
BAA

Program Reviews & Meetings

Name Date Materials
Spring Review 2014 4-7 Mar 2014 General Info | Presentation
Spring Review 2013 4-8 Mar 2013 General Info | Presentation
Optimization and Discrete Mathematics Program Review 18-20 Apr 2012 General Info | Presentations

Program Overview
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Contact Information
Dr. Warren Adams 
AFOSR/RTA-2
Email: optimization@us.af.mil

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