Performance Ratios for the Karmarkar-Karp Differencing Method
نویسندگان
چکیده
منابع مشابه
Performance Ratios for the Karmarkar-Karp Differencing Method
We consider the multiprocessor scheduling problem in which one must schedule n independent tasks nonpreemptively on m identical, parallel machines, such that the completion time of the last task is minimal. For this well-studied problem the Largest Differencing Method due to Karmarkar and Karp outperforms other existing polynomial-time approximation algorithms from an averagecase perspective. F...
متن کاملAnalysis of the Karmarkar-Karp Differencing Algorithm
The Karmarkar-Karp differencing algorithm is the best known polynomial time heuristic for the number partitioning problem, fundamental in both theoretical computer science and statistical physics. We analyze the performance of the differencing algorithm on random instances by mapping it to a nonlinear rate equation. Our analysis reveals strong finite size effects that explain why the precise as...
متن کاملPerformance Ratios for the Differencing Method Applied to the Balanced Number Partitioning Problem
We consider the problem of partitioning a set of n numbers into m subsets of cardinality k n m or n m , such that the maximum subset sum is minimal. We prove that the performance ratios of the Differencing Method of Karmarkar and Karp for k 3 4 5 and 6 are precisely 4/3, 19/12, 103/60, and 643/360, respectively, by means of a novel approach in which the ratios are explicitly calculated using mi...
متن کاملThe Upwind Differencing Method
The flux-vector and flux-difference splittings of Steger-Warming, Van Leer and Roe are tested in all possible combinations in the implicit and explicit operators that can be distinguished in implicit relaxation methods for the steady Euler and Navier-Stokes equations. The tests include one-dimensional inviscid nozzle flow, and two-dimensional inviscid and viscous shock reflection. Roe’s splitti...
متن کامل219-225 Karmarkar LAJP 1626:Karmarkar
Fenofibrate is more effective drug as compared to other fibrates. But low bioavailability of it is due to its poor aqueous solubility. The purpose of present study was to improve fenofibrate dissolution through its formulation into liquisolid tablets and then to investigate in vitro performance of prepared liquisolid systems. By use of this technique, liquid medications such as solutions or sus...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Notes in Discrete Mathematics
سال: 2003
ISSN: 1571-0653
DOI: 10.1016/s1571-0653(04)00442-1