A note on single machine common flow allowance group scheduling with learning effect and resource allocation

2020 ◽  
pp. 106941
Author(s):  
Dan-Yang Lv ◽  
Si-Wen Luo ◽  
Jing Xue ◽  
Jing-Xiao Xu ◽  
Ji-Bo Wang
2011 ◽  
Vol 60 (1) ◽  
pp. 148-157 ◽  
Author(s):  
Zhanguo Zhu ◽  
Linyan Sun ◽  
Feng Chu ◽  
Ming Liu

2017 ◽  
Vol 34 (04) ◽  
pp. 1750011 ◽  
Author(s):  
Zhusong Liu ◽  
Zhenyou Wang ◽  
Yuan-Yuan Lu

This paper considers the single machine scheduling with learning effect, resource allocation and deteriorating maintenance activity simultaneously. For the convex resource allocation consumption function, we provide a bicriteria analysis where the first (schedule) criterion is to minimize the total weighted sum of makespan, total completion time and total absolute differences in completion times, and the second (resource) criterion is to minimize the total weighted resource consumption. Our aim is to find the optimal resource allocations and job sequence that minimize the three different models of considering the two criterion. We show that these three models are polynomially solvable respectively.


2013 ◽  
Vol 423-426 ◽  
pp. 2224-2227
Author(s):  
Yan Peng Fan ◽  
Chuan Li Zhao

This paper considers single-machine due-window assignment and scheduling with learning effect and resource-dependent processing times. The processing time of a job is a function of its position in a sequence, its starting time, and its resource allocation. The objective is to determine the optimal sequence of jobs and optimal resource allocation so as to minimize the sum of earliness, tardiness, due-windows and resource and operation time cost, the considered problem is molded as an assignment problem and can be solved with a polynomial time algorithm.


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