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A Graph-Theoretic Modeling Framework for Resource-Economy in Space Logistics

Authors: Takuto Ishimatsu; Olivier De Weck; Jeffrey Hoffman; Yoshiaki Ohkami; Robert Shishko;

A Graph-Theoretic Modeling Framework for Resource-Economy in Space Logistics

Abstract

In transition to a new era of space exploration, the question is what the next space logistics paradigm should be. The past studies on space logistics have been mainly focused on a “vehicle” perspective such as propulsive feasibility, cargo capacity constraints, manifesting strategies, and crew and vehicle demand, all assuming a predefined logistics network. Against this background, a graph-theoretic modeling approach to space-based resourceeconomy from a “network” perspective has been proposed. Built on this proposal, this paper continuously develops a graph-theoretic modeling framework and presents a multicommodity network flow formulation using flow transformation matrix. The proposed modeling method is demonstrated with a case study of cislunar architecture for human exploration of Mars. Mars capture orbit (MCO) is selected as a problem boundary node with a demand based on Mars Design Reference Architecture 5.0 and the problem is formulated as a linear programming (LP). The optimized network flow suggests that the resource depot should be located in Earth-Moon Lagrange point 2 (EML2), the orbital transfer vehicle should travel between geostationary transfer orbit (GTO) and EML2 like a pickup bus, and the Mars Transit Vehicle (MTV) should be injected into trans-Mars trajectory from EML2. It is found that utilization of lunar resources could reduce the total resource required to satisfy the same demand at MCO by up to 35.8%. Nomenclature

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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