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Sensitivity Analysis for the Single-Machine Preemptive Scheduling Problem of Minimizing Flow Time
Sensitivity analysis for the single-machine preemptive scheduling problem of minimizing flow time is discussed herein. Note that an optimal solution of the scheduling problem contains not just a combinatorial structure but also a temporal structure.
Xiaoxi Li, Shanlin Li
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Abhishek Singh
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Background. A special case of the job scheduling process is that when jobs are processed on a single machine, preemptions are allowed, and there are no idle time intervals.
Vadim V. Romanuke
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Minimal Total Weighted Tardiness in Tight-Tardy Single Machine Preemptive Idling-Free Scheduling
Two possibilities of obtaining the minimal total weighted tardiness in tight-tardy single machine preemptive idling-free scheduling are studied. The Boolean linear programming model, which allows obtaining the exactly minimal tardiness, becomes too time ...
Romanuke Vadim
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Background. The problem of minimization of total weighted tardiness can be solved either exactly by the corresponding models or heuristically. As of October 2019, nearly the best heuristic is one based on using remaining available and processing periods.
Vadim V. Romanuke
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Single Machine Preemptive Scheduling to Minimize the Weighted Number of Late Jobs with Deadlines and Nested Release/Due Date Intervals [PDF]
Summary: This paper is devoted to the following version of the single machine preemptive scheduling problem of minimizing the weighted number of late jobs. A processing time, a release date, a due date and a weight of each job are given. Certain jobs are specified to be completed in time, i.e., their due dates are assigned to be deadlines, while the ...
Valery S. Gordon +2 more
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Background. In setting a problem of minimizing total weighted tardiness by the heuristic based on remaining available and processing periods, there are two opposite ways to input the data: the job release dates are given in either ascending or ...
Vadim V. Romanuke
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Background. In setting a problem of minimizing total tardiness by the heuristic based on remaining available and processing periods, there are two opposite ways to input the data: the job release dates are given in either ascending or descending order ...
Vadim V. Romanuke
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An efficient model for the preemptive single machine scheduling of equal-length jobs
We propose a Boolean Linear Programming model for the preemptive single machine scheduling problem with equal processing times, arbitrary release dates and weights(priorities) minimizing the total weighted completion time. Almost always an optimal solution of the Linear Programming relaxation is integral and can be straightforwardly converted into an ...
Artem Fomin, Boris Goldengorin
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Background. A schedule ensuring the exactly minimal total tardiness can be found with the respective integer linear programming problem. An open question is whether the exact schedule computation time changes if the job release dates are input to the ...
Vadim V. Romanuke
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