Multiprocessor Scheduling with Rejection
SIAM Journal on Discrete Mathematics
Preemptive multiprocessor scheduling with rejection
Theoretical Computer Science
Online scheduling with machine cost and rejection
Discrete Applied Mathematics
Theoretical Computer Science
Bounded single-machine parallel-batch scheduling with release dates and rejection
Computers and Operations Research
A PTAS for parallel batch scheduling with rejection and dynamic job arrivals
Theoretical Computer Science
A simulated annealing approach to a bi-criteria sequencing problem in a two-stage supply chain
Computers and Industrial Engineering
Infinite order Lorenz dominance for fair multiagent optimization
Proceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems: volume 1 - Volume 1
Performance assessment of multiobjective optimizers: an analysis and review
IEEE Transactions on Evolutionary Computation
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Scheduling problems have been studied from many years ago. Most of the papers which were published in this domain are different in one or many of issues as following: objective functions, machine environment, constraints and methodology for solving the problems. In this paper we address the problem of single machine scheduling in which due to some constraints like capacity, rejection of a set of jobs is accepted. The problem is considered as bi-objective one: minimization of the sum of weighted completion times for the accepted jobs and minimization of the sum of penalties for the rejected jobs. We find that in this problem, the solutions are not handled in a satisfactory way by general Paretodominance rule, so we suggest the application of Lorenz-dominance to an adapted bi-objective simulated annealing algorithm. Finally we justify the use of Lorenz-dominance as a useful refinement of Pareto-dominance by comparing the results.