We address the problem of scheduling a set of n jobs on m identical parallel machines with the ... bound delivered by the LPT rule. If these two bounds are equal, ...
Recommendations · Tight approximation bounds for the LPT rule applied to identical parallel machines with small jobs. Abstract · Scheduling jobs with equal ...
The aim is to mimick by ILP modeling the behavior of a procedure (typically greedy). • We apply this approach to. • Machine Scheduling: problem P||Cmax and the ...
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Pinedo, "Tight approximation bounds for the LPT rule applied to identical parallel machines with small jobs," Journal of Scheduling, 25:721-740, 2022 paper.
The famous Longest Processing Time (LPT) rule proposed by Graham in 1969 is revisited and Linear Programming (LP) is used to analyze the approximation ratio ...
Longest-processing-time-first (LPT) is a greedy algorithm for job scheduling. The input to the algorithm is a set of jobs, each of which has a specific ...
Tight approximation bounds for the LPT rule applied to identical parallel machines with small jobs · Myungho LeeKangbok LeeMichael Pinedo. Mathematics. Journal ...
Jan 16, 2018 · We provide new insights on LPT and discuss the approximation ratio of a modification of LPT that improves Graham's bound from 4/3 - 1/(3m) to 4/ ...
Jan 16, 2018 · Keywords: Identical Parallel Machines Scheduling, LPT rule, Linear. Programming, Approximation algorithms. 1. Introduction. We consider the Pm ...
Jun 11, 2009 · In (P||Cmax) we have m machines and n jobs. Job j takes time pj on each machine. This problem, as we saw in the last lecture, ...