scholarly journals Single-machine scheduling problems with start-time dependent processing time

2007 ◽  
Vol 53 (11) ◽  
pp. 1658-1664 ◽  
Author(s):  
Wen-Hung Kuo ◽  
Dar-Li Yang
Keyword(s):  
Single Machine ◽  
Processing Time ◽  
Machine Scheduling ◽  
Single Machine Scheduling ◽  
Time Dependent ◽  
Scheduling Problems ◽  
Start Time ◽  
Machine Scheduling Problems

SINGLE MACHINE SCHEDULING WITH A LEARNING EFFECT AND A RATE-MODIFYING ACTIVITY

2011 ◽  
Vol 28 (04) ◽  
pp. 511-521 ◽  
Author(s):  
CHUANLI ZHAO ◽  
HENGYONG TANG
Keyword(s):  
Single Machine ◽  
Processing Time ◽  
Learning Effect ◽  
Window Size ◽  
Machine Scheduling ◽  
Single Machine Scheduling ◽  
Scheduling Problems ◽  
Polynomial Time Algorithms ◽  
Due Window ◽  
Machine Scheduling Problems

In the paper, single machine scheduling problems with a learning effect and a rate-modifying activity are considered. Under the learning effect, the processing time of a job is a decreasing function of its position in the sequence. The rate-modifying activity is an event that can change the speed of the machine, and hence the processing time of jobs after the activity. The following objective functions are considered: the makespan, the total earliness, tardiness and completion time penalty, and the total earliness, tardiness, due-window starting time and due-window size penalty. Polynomial time algorithms are proposed to optimally solve the problems.

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