AAS 07-150 A GREEDY RANDOM ADAPTIVE SEARCH PROCEDURE FOR OPTIMAL SCHEDULING OF P 2 P SATELLITE REFUELING

All studies of peer-to-peer (henceforth abbreviated as P2P) satellite refueling so far assume that all active satellites return back to their original orbital positions after undergoing fuel exchanges with the passive satellites. In this paper, we remove this restriction on the active satellites, namely, we allow the active satellites to interchange orbital slots during the return trips. We formulate the problem as a three-index assignment problem in a tripartite constellation graph. We use a greedy random adaptive search procedure (GRASP) to determine the optimal P2P refueling schedule between the active and the passive satellites. It is shown that the proposed methodology leads to considerable fuel reduction over the baseline P2P refueling strategy.

[1]  Yves Crama,et al.  Approximation algorithms for three-dimensional assignment problems with triangle inequalities , 1992 .

[2]  William P. Pierskalla,et al.  Letter to the Editor - The Multidimensional Assignment Problem , 1968, Oper. Res..

[3]  Panos M. Pardalos,et al.  GRASP with Path Relinking for Three-Index Assignment , 2005, INFORMS J. Comput..

[4]  Egon Balas,et al.  An Algorithm for the Three-Index Assignment Problem , 1991, Oper. Res..

[5]  Panagiotis Tsiotras,et al.  Comparison Between Peer-to-Peer and Single-Spacecraft Refueling Strategies for Spacecraft in Circular Orbits , 2005 .

[6]  Frits C. R. Spieksma,et al.  Approximation Algorithms for Multi-Dimensional Assignment Problems with Decomposable Costs , 1994, Discret. Appl. Math..

[7]  Panagiotis Tsiotras,et al.  Peer-to-Peer Refueling for Circular Satellite Constellations , 2005 .

[8]  Alexander J. Robertson,et al.  A Set of Greedy Randomized Adaptive Local Search Procedure (GRASP) Implementations for the Multidimensional Assignment Problem , 2001, Comput. Optim. Appl..

[9]  Panagiotis Tsiotras,et al.  An Auction Algorithm for Optimal Satellite Refueling , 2005 .

[10]  Mauricio G. C. Resende,et al.  Greedy Randomized Adaptive Search Procedures , 1995, J. Glob. Optim..

[11]  Panagiotis Tsiotras,et al.  Optimal Two-Impulse Rendezvous Using Multiple-Revolution Lambert Solutions , 2003 .

[12]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[13]  Haijun Shen Optimal scheduling for satellite refuelling in circular orbits , 2003 .

[14]  Panagiotis Tsiotras,et al.  Optimal Scheduling for Servicing Multiple Satellites in a Circular Constellation , 2002 .

[15]  Panagiotis Tsiotras,et al.  AAS 05-474 ASYNCHRONOUS OPTIMAL MIXED P 2 P SATELLITE REFUELING STRATEGIES , 2005 .

[16]  A. Gibbons Algorithmic Graph Theory , 1985 .