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DAM
2006
79views more  DAM 2006»
13 years 4 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 5 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 4 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
13 years 11 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
13 years 10 months 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