An Improved Max-Flow Based Lower Bound for Minimizing Maximum Lateness on Identical Parallel Machines

Journal Article
Haouari, Mohamed . 2003
Tags: 
Identical parallel machines, Release dates, Due dates, Maximum lateness, Lower bound, Preemption
Magazine \ Newspaper: 
Operations Research Letters
Issue Number: 
1
Volume Number: 
31
Pages: 
49–52
Publication Abstract: 

In this paper, we introduce a new concept of semi-preemptive scheduling and we show how it can be used to derive a maximum-flow-based lower bound for the P|rj|Lmax which dominates the well-known preemptive lower bound. We show that, in some cases, the proposed bound strictly dominates the preemptive one while having the same complexity.