Efficient algorithms for scheduling semiconductor burn-in operations
Operations Research
Multiprocessor Scheduling with Rejection
SIAM Journal on Discrete Mathematics
Preemptive multiprocessor scheduling with rejection
Theoretical Computer Science
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Minimizing mean response time in batch processing system
COCOON'99 Proceedings of the 5th annual international conference on Computing and combinatorics
On-line scheduling of unit time jobs with rejection: minimizing the total completion time
Operations Research Letters
On scheduling an unbounded batch machine
Operations Research Letters
Bounded single-machine parallel-batch scheduling with release dates and rejection
Computers and Operations Research
Minimizing the makespan on a single parallel batching machine
Theoretical Computer Science
Single-machine scheduling under the job rejection constraint
Theoretical Computer Science
Computers and Operations Research
Lorenz versus Pareto dominance in a single machine scheduling problem with rejection
EMO'11 Proceedings of the 6th international conference on Evolutionary multi-criterion optimization
Two-machine flow-shop scheduling with rejection
Computers and Operations Research
A bicriteria approach to scheduling a single machine with job rejection and positional penalties
Journal of Combinatorial Optimization
International Journal of Applied Evolutionary Computation
A survey on offline scheduling with rejection
Journal of Scheduling
Hi-index | 5.23 |
In this paper, we consider the unbounded parallel batch machine scheduling with release dates and rejection. A job is either rejected with a certain penalty having to be paid, or accepted and processed in batches on the parallel batch machine. The processing time of a batch is defined as the longest processing time of the jobs contained in it. The objective is to minimize the sum of the makespan of the accepted jobs and the total rejection penalty of the rejected jobs. We show that this problem is binary NP-hard and provide a pseudo-polynomial-time algorithm. When the jobs have the same rejection penalty, the problem can be solved in polynomial time. Finally, a 2-approximation algorithm and a fully polynomial-time approximation scheme are given for the problem.