----------------------------------------------------------------------- TDS Seminar TDS Seminar TDS Seminar TDS Seminar TDS Seminar TDS Seminar ----------------------------------------------------------------------- Title: Towards Efficient Search Engines for Mobile Devices Speaker: Grzegorz Malewicz Place: NE43-308 Time: 1-2:30pm Date: Nov. 08, 2002 Abstract: A prevailing feature of mobile telephony systems is that the cell where a mobile user is located may be unknown. Therefore when the system is to establish a call between users it needs to search, or page, all the cells that it suspects the users are located in, to find the cells where the users currently reside. The search consumes expensive wireless links and so it is desirable to develop search techniques that page as few cells as possible. We consider a cellular system with $c$ cells and $m$ mobile users where the location of the users is uncertain as given by $m$ probability distribution vectors. The search operation lasts a given number of {\em rounds}. In each round the system may page an arbitrary subset of cells to find out which users are located there. In this setting the problem of finding one user with minimum expected number of cells paged is known to be solved optimally in polynomial time. In this work we address the problem of finding several users with the same optimization goal. We show that the problem is NP-hard and provide a $\frac{e}{e-1}$ approximation solution. This research is joint work with Amotz Bar-Noy published at PODC'02. During the talk we will report on some of our recent unpublished results and on future directions. -----------------------------------------------------------------------