A New Approximation Algorithm for the Nonpreemptive Scheduling of Independent Jobs on Identical Parallel Processors

2007 ◽  
Vol 21 (2) ◽  
pp. 313-328 ◽  
Author(s):  
Giuseppe Paletta ◽  
Paolamaria Pietramala
Keyword(s):  
Approximation Algorithm ◽  
Parallel Processors ◽  
Nonpreemptive Scheduling

Optimal Scheduling on Parallel Processors with Precedence Constraints and General Costs

1997 ◽  
Vol 11 (1) ◽  
pp. 79-93 ◽  
Author(s):  
Zhen Liu ◽  
Rhonda Righter
Keyword(s):  
Forest Structure ◽  
Parallel Processors ◽  
Ratio Distribution ◽  
Processing Times ◽  
Weighted Number ◽  
Number Of Late Jobs ◽  
The Cost ◽  
Nonpreemptive Scheduling ◽  
Late Jobs ◽  
Weighted Flowtime

We consider preemptive and nonpreemptive scheduling of partially ordered tasks on parallel processors, where the precedence relations have an intervalorder, an in-forest, or a uniform out-forest structure. Processing times of tasks are random variables with an increasing in likelihood ratio distribution in the nonpreemptive case and an exponential distribution in the preemptive case. We consider a general cost that is a function of time and of the uncompleted tasks and show that the most successors (MS) policy stochastically minimizes the cost function when it satisfies certain agreeability conditions. A consequence is that the MS policy stochastically minimizes makespan, weighted flowtime, and the weighted number of late jobs.

Highly parallel processors in military systems

1988 ◽  
Vol 135 (4) ◽  
pp. 202
Author(s):  
J.B.G. Roberts ◽  
B.C. Merrifield ◽  
P. Simpson ◽  
J.S. Ward
Keyword(s):  
Parallel Processors ◽  
Military Systems

An Improved Sequential Polygonal Approximation Algorithm on Skeleton Curves

2009 ◽  
Vol 34 (12) ◽  
pp. 1467-1474
Author(s):  
Zhe LV ◽  
Fu-Li WANG ◽  
Yu-Qing CHANG ◽  
Yang LIU
Keyword(s):  
Approximation Algorithm ◽  
Polygonal Approximation

The minimum zone fitting and error evaluation for the logarithmic curve based on geometry optimization approximation algorithm

2019 ◽  
Vol 41 (15) ◽  
pp. 4380-4386
Author(s):  
Tu Xianping ◽  
Lei Xianqing ◽  
Ma Wensuo ◽  
Wang Xiaoyi ◽  
Hu Luqing ◽  
...  
Keyword(s):  
Approximation Algorithm ◽  
Evaluation Method ◽  
Geometry Optimization ◽  
Reference Points ◽  
Approximation Technique ◽  
Error Evaluation ◽  
Iterative Approximation ◽  
Logarithmic Curve ◽  
Normal Distance ◽  
Minimum Zone

The minimum zone fitting and error evaluation for the logarithmic curve has important applications. Based on geometry optimization approximation algorithm whilst considering geometric characteristics of logarithmic curves, a new fitting and error evaluation method for the logarithmic curve is presented. To this end, two feature points, to serve as reference, are chosen either from those located on the least squares logarithmic curve or from amongst measurement points. Four auxiliary points surrounding each of the two reference points are then arranged to resemble vertices of a square. Subsequently, based on these auxiliary points, a series of auxiliary logarithmic curves (16 curves) are constructed, and the normal distance and corresponding range of values between each measurement point and all auxiliary logarithmic curves are calculated. Finally, by means of an iterative approximation technique consisting of comparing, evaluating, and changing reference points; determining new auxiliary points; and constructing corresponding auxiliary logarithmic curves, minimum zone fitting and evaluation of logarithmic curve profile errors are implemented. The example results show that the logarithmic curve can be fitted, and its profile error can be evaluated effectively and precisely using the presented method.

scholarly journals Approximation algorithm for minimum connected 3-path vertex cover

2020 ◽  
Vol 287 ◽  
pp. 77-84
Author(s):  
Pengcheng Liu ◽  
Zhao Zhang ◽  
Xianyue Li ◽  
Weili Wu
Keyword(s):  
Approximation Algorithm ◽  
Vertex Cover

An approximation algorithm for the k-generalized Steiner forest problem

2021 ◽  
Author(s):  
Jiawen Gao ◽  
Suogang Gao ◽  
Wen Liu ◽  
Weili Wu ◽  
Ding-Zhu Du ◽  
...  
Keyword(s):  
Approximation Algorithm ◽  
Steiner Forest
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