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Home / Proceedings / Proceedings of the International Conference on Automated Planning and Scheduling, 23 / Book One

Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times

February 1, 2023

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Authors

Tony Tran,Daria Terekhov,Doug Down,J. Beck

University of Toronto,University of Toronto,McMaster University,University of Toronto


DOI:

10.1609/icaps.v23i1.13552


Abstract:

Classically, scheduling research in artificial intelligence has concentrated on the combinatorial challenges arising in a large, static domain where the set of jobs, resource capacities, and other problem parameters are known with certainty and do not change. In contrast, queueing theory has focused primarily on the stochastic arrival and resource requirements of new jobs, de-emphasizing the combinatorics. We study a dynamic parallel scheduling problem with sequence-dependent setup times: arriving jobs must be assigned (online) to one of a set of resources. The jobs have different service times on different resources and there exist setup times that are required to elapse between jobs, depending on both the resource used and the job sequence. We investigate four models that hybridize a scheduling model with techniques from queueing theory to address the dynamic problem. We demonstrate that one of the hybrid models can significantly reduce observed mean flow time performance when compared to the pure scheduling and queueing theory methods. More specifically, at high system loads, our hybrid model achieves a 15% to 60% decrease in mean flow time compared to the pure methodologies. This paper illustrates the advantages of integrating techniques from queueing theory and scheduling to improve performance in dynamic problems with complex combinatorics.

Topics: ICAPS

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HOW TO CITE:

Tony Tran,Daria Terekhov,Doug Down,J. Beck Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times Proceedings of the International Conference on Automated Planning and Scheduling, 23 (2013) 215-223.

Tony Tran,Daria Terekhov,Doug Down,J. Beck Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times ICAPS 2013, 215-223.

Tony Tran,Daria Terekhov,Doug Down,J. Beck (2013). Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times. Proceedings of the International Conference on Automated Planning and Scheduling, 23, 215-223.

Tony Tran,Daria Terekhov,Doug Down,J. Beck. Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times. Proceedings of the International Conference on Automated Planning and Scheduling, 23 2013 p.215-223.

Tony Tran,Daria Terekhov,Doug Down,J. Beck. 2013. Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times. "Proceedings of the International Conference on Automated Planning and Scheduling, 23". 215-223.

Tony Tran,Daria Terekhov,Doug Down,J. Beck. (2013) "Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times", Proceedings of the International Conference on Automated Planning and Scheduling, 23, p.215-223

Tony Tran,Daria Terekhov,Doug Down,J. Beck, "Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times", ICAPS, p.215-223, 2013.

Tony Tran,Daria Terekhov,Doug Down,J. Beck. "Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times". Proceedings of the International Conference on Automated Planning and Scheduling, 23, 2013, p.215-223.

Tony Tran,Daria Terekhov,Doug Down,J. Beck. "Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times". Proceedings of the International Conference on Automated Planning and Scheduling, 23, (2013): 215-223.

Tony Tran,Daria Terekhov,Doug Down,J. Beck. Hybrid Queueing Theory and Scheduling Models for Dynamic Environments with Sequence-Dependent Setup Times. ICAPS[Internet]. 2013[cited 2023]; 215-223.


ISSN: 2334-0843


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