This paper gives the positive answer to the question posed in the title for a wide class of minimization criteria including the maximum completion time, maximum lateness , total completion time, total weighted completion time, total tardiness, total weighted tardiness, number of late jobs and the weighted number of late jobs. That is any scheduling problem for m identical parallel machines to m...

We introduce a scheduling method where stochasticallyexecuting soft real-time tasks are assigned to simple sporadic servers with predetermined execution budgets. We show that using this method, any task system whose average-case total utilization is less than the number of processors can be scheduled so that tardiness is bounded in the average case. The constraint on average-case utilization is...

In the game industry, tardiness is an important issue. Unlike a unifunctional machine, developer may excel in programming but be mediocre scene modeling. His/her processing speed varies with job type. To minimize tardiness, we need to schedule these developers carefully. Clearly, traditional scheduling algorithms for machines are not suitable such versatile developers. On other hand, unrelated ...

Problem of scheduling on a single machine to minimize total weighted tardiness of jobs can be described as follows: there are n jobs to be processed, each job has an integer processing time, a weight and a due date. The objective is to minimize the total weighted tardiness of jobs. The problem belongs to the class of NP-hard problems. Some new properties of the problem associated with the block...

The purpose of this study is to propose a new branch-and-bound algorithm for a class of scheduling problems to minimize total tardiness on identical parallel machines. In this algorithm, Lagrangian decomposition is applied to obtain better lower bounds. In addition, the job dominance conditions for the single machine tardiness problem are utilized for both restricting branches and improving the...

In the scheduling problem addressed in this note we have to determine: (i) the job sequence, (ii) the (common) due-date, and (iii) the location of a rate modifying (maintenance) activity. Jobs scheduled before (after) the due-date are penalized according to their earliness (tardiness) value. The processing time of a job scheduled after the maintenance activity decreases by a job-dependent facto...

In this paper we investigate scheduling problems with a deteriorating and resource-dependent maintenance activity on a single machine. The duration of the maintenance is assumed to be dependent both on its starting time and on the resource allocated to it. The objective is determining the job sequence, the position to perform a maintenance activity and the amount of additional resource allocate...