A survey of results for sequencing problems with controllable processing times
Discrete Applied Mathematics - Southampton conference on combinatorial optimization, April 1987
Annals of Operations Research
On the competitiveness of on-line real-time task scheduling
Real-Time Systems
Dover: An Optimal On-Line Scheduling Algorithm for Overloaded Uniprocessor Real-Time Systems
SIAM Journal on Computing
A fast taboo search algorithm for the job shop problem
Management Science
SODA '94 Proceedings of the fifth annual ACM-SIAM symposium on Discrete algorithms
Algorithms for Scheduling Independent Tasks
Journal of the ACM (JACM)
Multiprocessor Scheduling with Rejection
SIAM Journal on Discrete Mathematics
Approximating the Throughput of Multiple Machines in Real-Time Scheduling
SIAM Journal on Computing
The Dynamic and Stochastic Knapsack Problem with Random Sized Items
Operations Research
Computers and Operations Research
On-line scheduling of unit time jobs with rejection: minimizing the total completion time
Operations Research Letters
Computers and Operations Research
A tabu search algorithm for order acceptance and scheduling
Computers and Operations Research
A survey on offline scheduling with rejection
Journal of Scheduling
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We consider single-resource scheduling when candidate jobs may be accepted (producing job-specific profit) or rejected. Our solution approaches seek to maximize the profitability of the resulting schedule under job-specific tardiness costs and reducible processing times (at a cost). We present an algorithm that maximizes schedule profit for a given sequence of jobs, along with two heuristic approaches for generating good job sequences. A set of computational tests on randomly generated problem instances demonstrates the relative effectiveness of our proposed heuristic approaches.