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JAMDS
2002
80views more  JAMDS 2002»
13 years 4 months ago
Calculation of steady-state probabilities of M/M queues: further approaches
This paper draws attention to the risk of rounding error in the numerical evaluation of steady-state probabilities for the M/M family of queues. A method for avoiding the risk is p...
David K. Smith
SIAMSC
2008
168views more  SIAMSC 2008»
13 years 4 months ago
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
In this Part II of this paper we first refine the analysis of error-free vector transformations presented in Part I. Based on that we present an algorithm for calculating the round...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
COMGEO
2007
ACM
13 years 4 months ago
An intersection-sensitive algorithm for snap rounding
Snap rounding is a method for converting arbitrary-precision arrangements of segments into fixed-precision representation. We present an algorithm for snap rounding with running ...
Mark de Berg, Dan Halperin, Mark H. Overmars
CORR
2006
Springer
93views Education» more  CORR 2006»
13 years 4 months ago
Unbiased Matrix Rounding
We show several ways to round a real matrix to an integer one such that the rounding errors in all rows and columns as well as the whole matrix are less than one. This is a classic...
Benjamin Doerr, Tobias Friedrich, Christian Klein,...
IPCO
1996
89views Optimization» more  IPCO 1996»
13 years 6 months ago
On Dependent Randomized Rounding Algorithms
In recent years, approximation algorithms based on randomized rounding of fractional optimal solutions have been applied to several classes of discrete optimization problems. In t...
Dimitris Bertsimas, Chung-Piaw Teo, Rakesh Vohra
FSTTCS
2006
Springer
13 years 8 months ago
Unbiased Rounding of Rational Matrices
Rounding a real-valued matrix to an integer one such that the rounding errors in all rows and columns are less than one is a classical problem. It has been applied to hypergraph co...
Benjamin Doerr, Christian Klein
COMPGEOM
2006
ACM
13 years 10 months ago
Iterated snap rounding with bounded drift
Snap Rounding (SR for short) is a method for converting arbitrary-precision arrangements of line segments into a fixed-precision representation. In the previous years two variant...
Eli Packer