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Abstract
We study the M/D/1 queue and its generalization, the M/iD/1 queue, when jobs have firm deadlines for waiting (or sojourn) time. If a deadline is not met, a job-specific deadline violation cost is incurred. The M/iD/1 queue enables us to model both varying jobs sizes and batch arrival processes. We derive explicit value functions for these M/D/1-type of queues that enable the development of efficient cost-aware dispatching policies to parallel servers.
Original language | English |
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Title of host publication | EAI/Springer Innovations in Communication and Computing |
Publisher | Springer |
Pages | 29-46 |
Number of pages | 18 |
ISBN (Electronic) | 978-3-319-92378-9 |
ISBN (Print) | 978-3-319-92377-2 |
DOIs | |
Publication status | Published - 1 Jan 2019 |
MoE publication type | A3 Book section, Chapters in research books |
Publication series
Name | EAI/Springer Innovations in Communication and Computing |
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ISSN (Print) | 2522-8595 |
ISSN (Electronic) | 2522-8609 |
Keywords
- Batch Arrivals
- Job Size
- Parallel Servers
- Varying Job Sizes
- Violation Cost
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Dive into the research topics of 'Dispatching Discrete-Size Jobs with Multiple Deadlines to Parallel Heterogeneous Servers'. Together they form a unique fingerprint.Projects
- 1 Finished
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Faster Queues for Big Data - Nopeammat jonot suurten tietomassojen käsittelyyn
Hyytiä, E., Aalto, S., Viitasaari, L., Wu, X., Bilenne, O. & Osti, P.
01/01/2016 → 31/12/2017
Project: Academy of Finland: Other research funding