Single facility scheduling with nonlinear processing times
Computers and Industrial Engineering
Scheduling deteriorating jobs on a single processor
Operations Research
Complexity of scheduling tasks with time-dependent execution times
Information Processing Letters
Scheduling with time-dependent execution times
Information Processing Letters
The time dependent machine makespan problem is strongly NP-complete
Computers and Operations Research
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A note on single-processor scheduling with time-dependent execution times
Operations Research Letters
Single-machine group scheduling problems with deterioration consideration
Computers and Operations Research
Scheduling deteriorating jobs on a single machine with release times
Computers and Industrial Engineering
A two-machine flowshop makespan scheduling problem with deteriorating jobs
Computers and Industrial Engineering
A deteriorating jobs problem with quadratic function of job lateness
Computers and Industrial Engineering
Computers and Industrial Engineering
Connected searching of weighted trees
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
Some single-machine and flowshop scheduling problems with a non-linear deterioration function
Computers & Mathematics with Applications
Connected searching of weighted trees
Theoretical Computer Science
A single-machine scheduling with a truncated linear deterioration and ready times
Information Sciences: an International Journal
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In this paper, we study the feasibility problem of scheduling a set of start time dependent tasks on a single machine with deadlines, processing rates and identical initial processing times. First, we show that the cases with arbitrary deadlines are strongly NP-complete. Second, we show that the cases with two distinct deadlines are NP-complete in the ordinary sense. Finally, we give an optimal polynomial algorithm for the makespan problem with two distinct processing rates. We solve a series of open problems in the literature and give a sharp boundary delineating the complexity of the problems.