ACCURACY OF A HEURISTIC FOR TOTAL WEIGHTED COMPLETION TIME MINIMIZATION IN PREEMPTIVE SINGLE MACHINE SCHEDULING PROBLEM BY NO IDLE TIME INTERVALS

Online heuristic for the preemptive single machine scheduling problem of minimizing the total weighted completion time

1Laboratory of Algorithms and Technologies for Networks Analysis National Research University Higher School of Economics 136 Rodionova street, Niznhy Novgorod 603093, Russia 2Department of Industrial and Systems Engineering, University of Florida 303 Weil Hall, Gainesville, FL, 32611, USA 3Department of Operations Management & Operations Research, University of Groningen Nettelbosje 2, 9747 AE ...

Two agents single machine scheduling problem with total completion time and total weighted completion time objectives

A New Branch-and-Bound for the Problem of Mean Completion Time for the Single Machine with Release Time

Preemptively scheduling a set of independent jobs with release time on one processor is a historical problem. In this paper, the same problem has been considered in which objective is to minimize the mean flow time. To prepare a perfect branch-and-bound, some optimality conditions have been represented and they have been compared with the optimality conditions which have been proposed before. O...

Improving the preemptive bound for the one-machine dynamic total completion time scheduling problem

We consider the single machine dynamic total completion time scheduling problem. This problem is known to be NP-hard in the strong sense. The currently best available lower bound for the problem is known to be the optimal solution value of the corresponding preemptive problem which can be computed in O(n logn) time. We propose an improvement on this bound by exploiting the properties of the pre...

No-idle time Scheduling of Open shops: Modeling and Meta-heuristic Solution Methods

In some industries as foundries, it is not technically feasible to interrupt a processor between jobs. This restriction gives rise to a scheduling problem called no-idle scheduling. This paper deals with scheduling of no-idle open shops to minimize maximum completion time of jobs, called makespan. The problem is first mathematically formulated by three different mixed integer linear programming...