Single machine scheduling with precedence constraints and positionally dependent processing times

2012 ◽  
Vol 39 (6) ◽  
pp. 1218-1224 ◽  
Author(s):  
Alexandre Dolgui ◽  
Valery Gordon ◽  
Vitaly Strusevich
Keyword(s):  
Single Machine ◽  
Machine Scheduling ◽  
Single Machine Scheduling ◽  
Precedence Constraints ◽  
Processing Times

Single machine scheduling with a variable common due date and resource-dependent processing times

2003 ◽  
Vol 30 (8) ◽  
pp. 1173-1185 ◽  
Author(s):  
C.T.Daniel Ng ◽  
T.C.Edwin Cheng ◽  
Mikhail Y. Kovalyov ◽  
S.S. Lam
Keyword(s):  
Single Machine ◽  
Machine Scheduling ◽  
Single Machine Scheduling ◽  
Due Date ◽  
Common Due Date ◽  
Processing Times

Single Machine Scheduling and due Date Assignment with Past-Sequence-Dependent Delivery Times and General Position-Dependent Processing Times

2014 ◽  
Vol 624 ◽  
pp. 675-680
Author(s):  
Yu Fang Zhao
Keyword(s):  
Single Machine ◽  
Machine Scheduling ◽  
Single Machine Scheduling ◽  
Scheduling Problems ◽  
Due Date ◽  
Due Date Assignment ◽  
Processing Times ◽  
Delivery Times ◽  
Weighted Number ◽  
Tardy Jobs

We studied single machine scheduling problems in which the jobs need to be delivered to customers after processing. It is assumed that the delivery times are proportional to the length of the already processed jobs, and a job's processing time depended on its position in a sequence. The objective functions include total earliness, the weighted number of tardy jobs and the cost of due date assignment. We analyzed these problems with two different due date assignment methods and conclude that the problems are polynomial time solvable.

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