BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-94-1533 ENTRY:: December 08, 1994 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Randomized Query Processing in Robot Motion Planning TYPE:: Technical Report AUTHOR:: Raghavan, L. Kavraki, J-C. Latombe, R. Motwani, P. DATE:: December 1994 PAGES:: 16 ABSTRACT:: The subject of this paper is the analysis of a randomized preprocessing scheme that has been used for query processing in robot motion planning. The attractiveness of the scheme stems from its general applicability to virtually any motion-planning problem, and its empirically observed success. In this paper we initiate a theoretical basis for explaining this empirical success. Under a simple assumption about the configuration space, we show that it is possible to perform a preprocessing step following which queries can be answered quickly. En route, we pose and give solutions to related problems on graph connectivity in the evasiveness model, and art-gallery theorems. NOTES:: [Adminitrivia V1/Prg/19941208] END:: STAN//CS-TR-94-1533