Topological Methods for Design and Control of Adaptive Stochastic Complex Systems - to Meet the Challenges of Resilient Urban Infrastructure

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 24, 2017
Accession Number
AD1031308

Entities

People

  • Jay Hineman
  • John Baillieul
  • John Harer
  • Shuai Wang
  • Vahid Tarokh
  • Zhun Deng

Organizations

  • Boston University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Aircrafts
  • Algorithms
  • Computational Science
  • Differential Equations
  • Geometry
  • Mathematical Models
  • Medical Personnel
  • Military Hospitals
  • Patient Care
  • Probabilistic Models
  • Probability
  • Search And Rescue
  • Steady State
  • System Of Systems
  • Systems Engineering
  • Therapy
  • Topology

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Medical or Health Care Field.
  • Operations Research