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DAM
2006
79views more  DAM 2006»
13 years 7 months ago
A simple expected running time analysis for randomized "divide and conquer" algorithms
There are many randomized "divide and conquer" algorithms, such as randomized Quicksort, whose operation involves partitioning a problem of size n uniformly at random int...
Brian C. Dean
STOC
2003
ACM
95views Algorithms» more  STOC 2003»
14 years 7 months ago
Random knapsack in expected polynomial time
In this paper, we present the first average-case analysis proving an expected polynomial running time for an exact algorithm for the 0/1 knapsack problem. In particular, we prove,...
René Beier, Berthold Vöcking
MST
2007
104views more  MST 2007»
13 years 6 months ago
Randomized Algorithms for 3-SAT
In [Sch99], Sch¨oning proposed a simple yet efficient randomized algorithm for solving the k-SAT problem. In the case of 3-SAT, the algorithm has an expected running time of poly...
Thomas Hofmeister, Uwe Schöning, Rainer Schul...
KBSE
2008
IEEE
14 years 1 months ago
Random Test Run Length and Effectiveness
Abstract—A poorly understood but important factor in random testing is the selection of a maximum length for test runs. Given a limited time for testing, it is seldom clear wheth...
James H. Andrews, Alex Groce, Melissa Weston, Ru-G...
STACS
2005
Springer
14 years 24 days ago
Worst-Case and Average-Case Approximations by Simple Randomized Search Heuristics
Abstract. In recent years, probabilistic analyses of algorithms have received increasing attention. Despite results on the average-case complexity and smoothed complexity of exact ...
Carsten Witt