Topological Methods for Design and Control of Adaptive Stochastic Complex Systems - to Meet the Challenges of Resilient Urban Infrastructure
Technical Report,01 Aug 2016,31 Dec 2017
BOSTON UNIV MA BOSTON United States
Pagination or Media Count:
This report describes a brief research project on foundational aspects of systems-of-systems design and operation. The overarching goal of the research is a design approach for composing structures and behaviors such that the resulting systems will be able to function and adapt using an available but a priori unknown mix of sensing and communication modalities. The research reported herein was focused on a model problem of deploying and operating fielded medical treatment facilities MTFs. The solution to the problem was found to have two coupled components the optimal location of treatment facilities of prescribed types and the optimal routing and treatment protocols for casualties moving through the facility network. Several approaches to the problem were explored, including 1 representing the problem as a resource selection problem and formulating this as a nonlinear mixed integer optimization problem 2 using an abstraction of the problem that interpret system compositionality in terms of dynamical systems on function semigroups and 3 modeling the operation of the MTF network using switched mode ordinary differential equation systems.
- Theoretical Mathematics
- Medical Facilities, Equipment and Supplies