Heuristics for the identical machine scheduling problem with preventive maintenances

2015 ◽  
Vol 21 (1) ◽  
pp. 112-120
Author(s):  
Caili Jiang ◽  
Zhiqiang Lu ◽  
Weiwei Cui
2017 ◽  
Vol 58 (3-4) ◽  
pp. 306-313
Author(s):  
J. M. DONG ◽  
X. S. WANG ◽  
L. L. WANG ◽  
J. L. HU

We analyse a parallel (identical) machine scheduling problem with job delivery to a single customer. For this problem, each job needs to be processed on $m$ parallel machines non-pre-emptively and then transported to a customer by one vehicle with a limited physical capacity. The optimization goal is to minimize the makespan, the time at which all the jobs are processed and delivered and the vehicle returns to the machine. We present an approximation algorithm with a tight worst-case performance ratio of $7/3-1/m$ for the general case, $m\geq 3$.


1993 ◽  
Vol 25 (1-4) ◽  
pp. 243-246 ◽  
Author(s):  
Gürsel A. Süer ◽  
Eduardo Báez ◽  
Zbigniew Czajkiewicz

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