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LPT Algorithm for m Uniform Machine Covering Problems
Author: NiuZuo
Tutor: TanZhiZuo
School: Zhejiang University
Course: Operational Research and Cybernetics
Keywords: Similar machine scheduling
CLC: O223
Type: Master's thesis
Year: 2008
Downloads: 40
Quote: 0
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Abstract
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This paper makes a study of some kind of special circumstances similar machine scheduling problem, the objective function is to maximize machine minimum completion time, this problem is often referred to as the machine cover problem. This article mainly research is all the machine only a machine processing speed and other machine speed different this special circumstances. The algorithm is LPT algorithm, this algorithm first will all work according to the processing time size from big to small array, and then the workpiece arrangement in the current load the smallest machine processing. The full text is divided into three chapters: the first chapter is the introduction part, mainly introduces related scheduling problems, approximate algorithm and competitive ratio analysis and basic concept. The second chapter mainly considered the machine speed are 1, 1, s and 1, s, s (s > 1) three machine scheduling problems, and gives the LPT algorithm parameters boundary and s take a certain range of the parameter tight world, and gives the above two questions of constant tightly bound. The third chapter mainly studies machine speed for 1, 1,... , 1, s m table similar machine cover problem that when m was 4, s take a range of LPT algorithm parameters tightly bound.
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CLC: > Mathematical sciences and chemical > Mathematics > Operations Research > An integrated approach
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