This paper focuses on the problem of scheduling a set of independent jobs with setup times and job splitting, on a set of identical parallel machines such that total tardiness is minimized. In this study, it is assumed that a job can be split into sub-jobs and these sub-jobs can be processed independently on parallel machines. Because the problem is NP-hard, a memetic algorithm (MA) is proposed...

Multi-machine scheduling, that is, the assigment of jobs to machines such that certain performance demands like cost and time effectiveness are fulfilled, is a ubiquitous and complex activity in everyday life. This paper presents an approach to multi-machine scheduling that follows the multiagent learning paradigm known from the field of Distributed Artificial Intelligence. According to this ap...

We introduce Callisto-RTS, a parallel runtime system designed for multi-socket shared-memory machines. It supports very fine-grained scheduling of parallel loops— down to batches of work of around 1K cycles. Finegrained scheduling helps avoid load imbalance while reducing the need for tuning workloads to particular machines or inputs. We use per-core iteration counts to distribute work initiall...

This paper considers a scheduling problem of a set of independent jobs on unrelated parallel machines (UPMs) that minimizesthe maximum completion time (i.e., makespan or ), maximum earliness ( ), and maximum tardiness ( ) simultaneously. Jobs have non-identical due dates, sequence-dependent setup times and machine-dependentprocessing times. A multi-objective mixed-integer linear programmi...

In this paper, we address the scheduling problem with rejection in which we can choose a subset of jobs to process. Choosing not to process any job incurs a corresponding penalty. We consider the following problem for the first time: scheduling with rejection to minimize the total weighted completion time with the constraint of total penalties on identical parallel machines, where the number of...

We consider the problem of scheduling n independent jobs on m identical machines that operate in parallel. Each job has a controllable processing time. The fact that the jobs have a controllable processing time means that it is allowed to compress (a part of) the processing time of the job, in return for compression cost. We present the first known polynomial time approximation schemes for the ...

In this paper, we consider the problem of scheduling jobs on parallel machines with setup times. The setup has to be performed by a single server. The objective is to minimize the schedule length (makespan), ss well as the forced idle time. The makespan problem is known to be NP-hard even for the csse of two identical parallel machines. This paper presents a pseudopolynomial algorithm for the c...

In this paper we present constructive algorithms for the classical deterministic scheduling problem of minimising the makespan on identical parallel machines. Since the problem is known to be NP-hard in the strong sense, the approximate algorithms play a relevant role when solving this problem. The proposed algorithms are based on list scheduling procedures. The algorithms consist in not taking...

This paper deals with a common due date parallel machines scheduling problem in which each job has a different tardiness penalty. The objective is to minimize the total weighted tardiness. The scheduling problem of minimizing the total weighted tardiness with a common due date on a single machine is known to be ordinary NP-hard. This is also the case for problem Pm|di = d| ∑ wiTi. A new dynamic...

Scheduling precedence constrained jobs on identical parallel machines is a well investigated problem with many applications. AND/OR-networks constitute a useful generalization of standard precedence constraints where certain jobs can be executed as soon as at least one of their direct predecessors is completed. For the problem of scheduling AND/OR-networks on parallel machines, we present a 2-a...