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Digital
Library of the European Council for Modelling and Simulation |
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Title: |
Minimizing Mean Response Time In Batch-Arrival Non-Observable Systems
With Single-Server FIFO Queues Operating In Parallel |
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Authors: |
Mikhail Konovalov, Rostislav Razumchik |
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Published in:
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(2021). ECMS 2021,
35th Proceedings DOI: http://doi.org/10.7148/2021 ISSN:
2522-2422 (ONLINE) ISSN:
2522-2414 (PRINT) ISSN:
2522-2430 (CD-ROM) ISBN: 978-3-937436-72-2 Communications of the ECMS , Volume 35, Issue 1, June 2021, United Kingdom |
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Citation
format: |
Mikhail Konovalov,
Rostislav Razumchik (2021).
Minimizing Mean Response Time In Batch-Arrival Non-Observable Systems With
Single-Server FIFO Queues Operating In Parallel, ECMS
2021 Proceedings Edited By: Khalid Al-Begain, Mauro
Iacono, Lelio Campanile, Andrzej Bargiela European Council
for Modeling and Simulation. doi:
10.7148/2021-0272 |
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DOI: |
https://doi.org/10.7148/2021-0272 |
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Abstract: |
Consideration
is given to a dispatching system, where jobs, arriving in batches, cannot be
stored and thus must be immediately routed to single-server FIFO queues operating
in parallel. The dispatcher can memorize its routing decisions but at any
time instant does not have any system's state information. The only
information available is the batch/job size and inter-arrival time
distributions, and the servers' service rates. Under these conditions, one is
interested in the routing policies which minimize
the job's long-run mean response time. The single-parameter routing policy is
being proposed which, according to the numerical experiments, outperforms best
routing rules known by now for non-observable dispatching systems:
probabilistic and deterministic. Both the batch-wise and job-wise assignments
are studied. Extension to systems with unreliable servers is also addressed. |
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