Parallel machine scheduling problems, which are important discrete optimization problems, may occur in many applications. For example, load balancing in network communication channel assignment, parallel processing in large-size computing, task arrangement in flexible manufacturing systems, etc., are multiprocessor scheduling problem. In the traditional parallel machine scheduling problems, it ...

  This paper deals with minimization of tardiness in single machine scheduling problem when each job has two different due-dates i.e. ordinary due-date and drop dead date. The drop dead date is the date in which jobs’ weights rise sharply or the customer cancels the order. A linear programming formulation is developed for the problem and since the problem is known to be NP-hard, three heuristic...

We revisit the classical stochastic scheduling problem of nonpreemptively scheduling n jobs so as to minimize total completion time on m identical machines, P || E ∑ Cj in the standard 3field scheduling notation. Previously it was only known how to obtain reasonable approximation if jobs sizes have low variability. However, distributions commonly arising in practice have high variability, and t...

We consider the NP-hard problem of scheduling parallel jobs with release dates on identical parallel machines to minimize the makespan. A parallel job requires simultaneously a prespecified, job-dependent number of machines when being processed. We prove that the makespan of any nonpreemptive list-schedule is within a factor of 2 of the optimal preemptive makespan. This gives the best-known app...

We consider a general online scheduling problem on a single machine with the objective of minimizing ∑ j wjg(Fj), where wj is the weight/importance of job Jj , Fj is the flow time of the job in the schedule, and g is an arbitrary non-decreasing cost function. Numerous natural scheduling objectives are special cases of this general objective. We show that the scheduling algorithm Highest Density...

Advance Reservations(AR) make it possible to guarantee the QoS of Grid applications by reserving a particular resource capability over a defined time interval on local resources. However, advance reservations will also cause the processing time horizon discontinuous and therefore reduce the utilization of local resources and lengthen the makespan (i.e., maximum completion time) of nonresumable ...

In the classical scheduling problems, it is always assumed that the processing time of a job is fixed. In this paper, we address the scheduling with discretely compressible processing times, i.e., the possible processing time of a job can only have finitely many possibilities. Of course, choosing to process any job with a compressed processing time incurs a compression cost. We consider the sin...

We consider the first, and most well studied, speed scaling problem in the algorithmic literature: where the scheduling quality of service measure is a deadline feasibility constraint, and where the power objective is to minimize the total energy used. Four online algorithms for this problem have been proposed in the algorithmic literature. Based on the best upper bound that can be proved on th...