STORY%MIT-MC@sri-unix.UUCP (02/17/84)
From: Kenneth Byrd Story <STORY @ MIT-MC> [Forwarded from the MIT-MC bboard by Laws@SRI-AI.] TITLE: "The Computational Discovery of Mathematical Laws: Experiments in Bin Packing" SPEAKER: Dr. Jon Bentley, Bell Laboratories, Murray Hill DATE: Wednesday, February 22, 1984 TIME: 3:30pm Refreshments 4:15pm Lecture PLACE: Bldg. 2-338 Bin packing is a typical NP-complete problem that arises in many applications. This talk describes experiments on two simple bin packing heuristics (First Fit and First Fit Decreasing) which show that they perform extremely well on randomly generated data. On some natural classes of inputs, for instance, the First Fit Decreasing heuristic finds an optimal solution more often than not. The data leads to several startling conjectures; some have been proved, while others remain open problems. Although the details concern the particular problem of bin packing, the theme of this talk is more general: how should computer scientists use simulation programs to discover mathematical laws? (This work was performed jointly with D.S. Johnson, F.T. Leighton and C.A. McGeoch. Tom Leighton will give a talk on March 12 describing proofs of some of the conjectures spawned by this work.) HOST: Professor Tom Leighton THIS SEMINAR IS JOINTLY SPONSORED BY THE COMBINATORICS SEMINAR & THE THEORY OF COMPUTATION SEMINAR