Path: utzoo!utgpu!news-server.csri.toronto.edu!mailrus!cs.utexas.edu!uwm.edu!dogie.macc.wisc.edu!wuarchive!cec2!news From: dg0951@cec1.wustl.edu (Daniel Geist) Newsgroups: comp.theory Subject: Knapsack problem Message-ID: <1990Mar21.195010.4623@cec1.wustl.edu> Date: 21 Mar 90 19:50:10 GMT Sender: news@cec2 (USENET News System) Distribution: usa Organization: Washington University, St. Louis MO Lines: 12 The knapsack problem is a very well known 0-1 programming problem: __n __n Maximize \ \ /_ Ci*Xi provided that /_Vi*Xi <= Vo i=1 i=1 The problem itself is NP for Ci,Vi real. However I wonder if given the optimal solution there is a way to determine the "second best" solution in polynomial time? Danny Geist