Date of Award

9-2024

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Department of Operational Sciences

First Advisor

Richard F. Deckro, PhD

Abstract

This research develops a multiparametric optimization framework for modeling joint multi-domain operational planning under uncertainty. We address the application of our framework to model the doctrine of adaptive planning. We apply set-based design, which is a program management practice of maintaining maximal design options through time as a response to epistemic uncertainty. We couple this with a multiparametric optimization method yielding both sets of solutions and sensitivity profiles. We use the sensitivity profiles to quantify risk associated with changes during adaptive planning. This research also models features of military operational planning via the mathematics of category theory. We formalize intuitive representations of the doctrinal arrangement of joint operational plans. In particular, we explicitly consider structures naturally present within multi-domain planning and operations—both serial and parallel—in terms of phased operational planning, branches, sequels, and nested planning echelons. We apply models from category theory to provide a formal graphical notation of planning structures under reasonable convexity assumptions.

AFIT Designator

AFIT-ENS-DS-24-S-132

Comments

A 12-month embargo was observed for posting this work on AFIT Scholar.

Distribution Statement A, Approved for Public Release. PA case number on file.

Download

Share

COinS