- Tytuł:
- Scheduling preemptable jobs on identical processors under varying availability of an additional continuous resource
- Autorzy:
-
Różycki, R.
Waligóra, G.
Węglarz, J. - Powiązania:
- https://bibliotekanauki.pl/articles/330888.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
machine scheduling
preemptable jobs
continuous resource
makespan
mathematical programming
szeregowanie zadań
zasób ciągły
programowanie matematyczne - Opis:
- In this work we consider a problem of scheduling preemptable, independent jobs, characterized by the fact that their processing speeds depend on the amounts of a continuous, renewable resource allocated to jobs at a time. Jobs are scheduled on parallel, identical machines, with the criterion of minimization of the schedule length. Since two categories of resources occur in the problem: discrete (set of machines) and continuous, it is generally called a discrete-continuous scheduling problem. The model studied in this paper allows the total available amount of the continuous resource to vary over time, which is a practically important generalization that has not been considered yet for discrete-continuous scheduling problems. For this model we give some properties of optimal schedules on a basis of which we propose a general methodology for solving the considered class of problems. The methodology uses a two-phase approach in which, firstly, an assignment of machines to jobs is defined and, secondly, for this assignment an optimal continuous resource allocation is found by solving an appropriate mathematical programming problem. In the approach various cases are considered, following from assumptions made on the form of the processing speed functions of jobs. For each case an iterative algorithm is designed, leading to an optimal solution in a finite number of steps.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 693-706
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł