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Modeling, Optimization, and Validation of the In-Space Facility Location Problem
Modeling, Optimization, and Validation of the In-Space Facility Location Problem
Modeling, Optimization, and Validation of the In-Space Facility Location Problem

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자료유형  
 학위논문 서양
최종처리일시  
20260202105330
ISBN  
9798263328696
DDC  
519.7
저자명  
Shimane, Yuri.
서명/저자  
Modeling, Optimization, and Validation of the In-Space Facility Location Problem
발행사항  
[Sl] : Georgia Institute of Technology, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
204 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-06, Section: B.
주기사항  
Advisor: Ho, Koki.
학위논문주기  
Thesis (Ph.D.)--Georgia Institute of Technology, 2025.
초록/해제  
요약The last decade has seen an unprecedented level of new space activities, including in-space servicing, active debris removal, satellite mega constellations, in-situ monitoring of resident space objects, and lunar payload delivery services. Many of these activities require an in-space infrastructure in which multiple assets must be coordinated to fulfill their collective purpose. For terrestrial and in-space applications alike, one of the most fundamental and primary considerations in infrastructure design is the optimal placement and allocation of assets to demands.This thesis is centered on in-space facility location problems (FLPs). The FLP provides a general framework to consider the placement and allocation of in-space assets for various applications, ranging from in-space servicing to cislunar space situational awareness. In-space FLPs require considerations of the underlying orbital mechanics and the associated nonlinear, potentially time varying performance metrics. This thesis presents general considerations to determine whether a static or a time-expanded FLP formulation is appropriate for the application at hand; both a static and a time-expanded in-space problem are treated. With the time-expanded FLP, where the problem dimension becomes particularly large due to the time dependency of performance metrics and, consequently, of the allocation decisions, a customized Lagrangian relaxation algorithm together with a set of specialized heuristics is proposed. Overall, the in-space FLP formulations enable decision-makers to explore the variation of the optimal placement and allocation of assets to uncertain infrastructure parameters such as the frequency of demand or hardware performance.In the context of cislunar infrastructures, libration point orbits (LPOs) provide relatively stable and geometrically diverse orbits for assets to be located. Motivated by the significantly lower number of existing missions in cislunar libration point orbits (LPOs), this thesis also provides orbital validation of LPOs in a high-fidelity ephemeris model (HFEM). The validation process consists of two steps: first, the nominal ballistic and quasi-ballistic design problem is considered through an optimal control approach. Then, station-keeping along the designed baseline in the presence of realistic uncertainties and operational constraints is studied. A targeting model predictive control scheme, suitable for both ballistic and quasi-ballistic baselines, is devised and demonstrated to provide satisfactory station-keeping performance, both in terms of cumulative cost and tracking deviation, over extended durations.
일반주제명  
Mathematical programming
일반주제명  
Orbits
일반주제명  
Aerospace engineering
키워드  
Facility location problems
키워드  
Libration point orbits
키워드  
High-fidelity ephemeris model
기타저자  
Georgia Institute of Technology.
기본자료저록  
Dissertations Abstracts International. 87-06B.
전자적 위치 및 접속  
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MARC

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■035    ▼a(MiAaPQ)GeorgiaTech78709
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■0820  ▼a519.7
■1001  ▼aShimane,  Yuri.
■24510▼aModeling,  Optimization,  and  Validation  of  the  In-Space  Facility  Location  Problem
■260    ▼a[Sl]▼bGeorgia  Institute  of  Technology▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a204  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-06,  Section:  B.
■500    ▼aAdvisor:  Ho,  Koki.
■5021  ▼aThesis  (Ph.D.)--Georgia  Institute  of  Technology,  2025.
■520    ▼aThe  last  decade  has  seen  an  unprecedented  level  of  new  space  activities,  including  in-space  servicing,  active  debris  removal,  satellite  mega  constellations,  in-situ  monitoring  of  resident  space  objects,  and  lunar  payload  delivery  services.  Many  of  these  activities  require  an  in-space  infrastructure  in  which  multiple  assets  must  be  coordinated  to  fulfill  their  collective  purpose.  For  terrestrial  and  in-space  applications  alike,  one  of  the  most  fundamental  and  primary  considerations  in  infrastructure  design  is  the  optimal  placement  and  allocation  of  assets  to  demands.This  thesis  is  centered  on  in-space  facility  location  problems  (FLPs).  The  FLP  provides  a  general  framework  to  consider  the  placement  and  allocation  of  in-space  assets  for  various  applications,  ranging  from  in-space  servicing  to  cislunar  space  situational  awareness.  In-space  FLPs  require  considerations  of  the  underlying  orbital  mechanics  and  the  associated  nonlinear,  potentially  time  varying  performance  metrics.  This  thesis  presents  general  considerations  to  determine  whether  a  static  or  a  time-expanded  FLP  formulation  is  appropriate  for  the  application  at  hand;  both  a  static  and  a  time-expanded  in-space  problem  are  treated.  With  the  time-expanded  FLP,  where  the  problem  dimension  becomes  particularly  large  due  to  the  time  dependency  of  performance  metrics  and,  consequently,  of  the  allocation  decisions,  a  customized  Lagrangian  relaxation  algorithm  together  with  a  set  of  specialized  heuristics  is  proposed.  Overall,  the  in-space  FLP  formulations  enable  decision-makers  to  explore  the  variation  of  the  optimal  placement  and  allocation  of  assets  to  uncertain  infrastructure  parameters  such  as  the  frequency  of  demand  or  hardware  performance.In  the  context  of  cislunar  infrastructures,  libration  point  orbits  (LPOs)  provide  relatively  stable  and  geometrically  diverse  orbits  for  assets  to  be  located.  Motivated  by  the  significantly  lower  number  of  existing  missions  in  cislunar  libration  point  orbits  (LPOs),  this  thesis  also  provides  orbital  validation  of  LPOs  in  a  high-fidelity  ephemeris  model  (HFEM).  The  validation  process  consists  of  two  steps:  first,  the  nominal  ballistic  and  quasi-ballistic  design  problem  is  considered  through  an  optimal  control  approach.  Then,  station-keeping  along  the  designed  baseline  in  the  presence  of  realistic  uncertainties  and  operational  constraints  is  studied.  A  targeting  model  predictive  control  scheme,  suitable  for  both  ballistic  and  quasi-ballistic  baselines,  is  devised  and  demonstrated  to  provide  satisfactory  station-keeping  performance,  both  in  terms  of  cumulative  cost  and  tracking  deviation,  over  extended  durations.
■590    ▼aSchool  code:  0078.
■650  4▼aMathematical  programming
■650  4▼aOrbits
■650  4▼aAerospace  engineering
■653    ▼aFacility  location  problems
■653    ▼aLibration  point  orbits
■653    ▼aHigh-fidelity  ephemeris  model
■690    ▼a0538
■71020▼aGeorgia  Institute  of  Technology.
■7730  ▼tDissertations  Abstracts  International▼g87-06B.
■790    ▼a0078
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17360265▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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