Filtered Gibbs sampler for estimating blocking probabilities in WDM optical networks Article Swipe
Felisa J. Vázquez-Abad
,
Lachlan L. H. Andrew
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.25916/sut.26272711
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.25916/sut.26272711
Blocking probabilities in Wavelength Division Multiplex optical networks are hard to compute for realistic sized systems, even though analytical formulas for the distribution exist (under maximal packing of wavelengths) . This computational difficulty is mainly due to the structure of the state space, which imposes strong coupling constraints amongst components of the occupancy vector. Direct simulation is often used to estimate the blocking probabilities. This paper presents a new method based on the Gibbs sampler, for which the estimation is 'localised' (distributed computation) and carried out conditioning on an appropriate filtration. The filtered estimators benefit from the variance reduction of conditional expectations as well as a reduction in computational effort due to the local estimation. Our simulation results suggest that that these methods dramatically outperform the currently used computational methods. For some systems, other techniques may prove impossible to implement whilst our method is not subject to the curse of dimensionality.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- http://hdl.handle.net/1959.3/44417
- OA Status
- green
- Cited By
- 3
- References
- 9
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W1578229649
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W1578229649Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.25916/sut.26272711Digital Object Identifier
- Title
-
Filtered Gibbs sampler for estimating blocking probabilities in WDM optical networksWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-01-01Full publication date if available
- Authors
-
Felisa J. Vázquez-Abad, Lachlan L. H. AndrewList of authors in order
- Landing page
-
https://hdl.handle.net/1959.3/44417Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- Concepts
-
Blocking (statistics), Wavelength-division multiplexing, Computer science, Gibbs sampling, Computer network, Optics, Artificial intelligence, Physics, Bayesian probability, WavelengthTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 1Per-year citation counts (last 5 years)
- References (count)
-
9Number of works referenced by this work
- Related works (count)
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20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.Blocking | 0 |
| abstract_inverted_index.Division | 4 |
| abstract_inverted_index.blocking | 62 |
| abstract_inverted_index.coupling | 46 |
| abstract_inverted_index.estimate | 60 |
| abstract_inverted_index.filtered | 92 |
| abstract_inverted_index.formulas | 19 |
| abstract_inverted_index.methods. | 129 |
| abstract_inverted_index.networks | 7 |
| abstract_inverted_index.presents | 66 |
| abstract_inverted_index.sampler, | 74 |
| abstract_inverted_index.systems, | 15, 132 |
| abstract_inverted_index.variance | 97 |
| abstract_inverted_index.Multiplex | 5 |
| abstract_inverted_index.currently | 126 |
| abstract_inverted_index.implement | 139 |
| abstract_inverted_index.occupancy | 52 |
| abstract_inverted_index.realistic | 13 |
| abstract_inverted_index.reduction | 98, 106 |
| abstract_inverted_index.structure | 38 |
| abstract_inverted_index.Wavelength | 3 |
| abstract_inverted_index.analytical | 18 |
| abstract_inverted_index.components | 49 |
| abstract_inverted_index.difficulty | 32 |
| abstract_inverted_index.estimation | 78 |
| abstract_inverted_index.estimators | 93 |
| abstract_inverted_index.impossible | 137 |
| abstract_inverted_index.outperform | 124 |
| abstract_inverted_index.simulation | 55, 116 |
| abstract_inverted_index.techniques | 134 |
| abstract_inverted_index.'localised' | 80 |
| abstract_inverted_index.appropriate | 89 |
| abstract_inverted_index.conditional | 100 |
| abstract_inverted_index.constraints | 47 |
| abstract_inverted_index.estimation. | 114 |
| abstract_inverted_index.filtration. | 90 |
| abstract_inverted_index.(distributed | 81 |
| abstract_inverted_index.computation) | 82 |
| abstract_inverted_index.conditioning | 86 |
| abstract_inverted_index.distribution | 22 |
| abstract_inverted_index.dramatically | 123 |
| abstract_inverted_index.expectations | 101 |
| abstract_inverted_index.wavelengths) | 28 |
| abstract_inverted_index.computational | 31, 108, 128 |
| abstract_inverted_index.probabilities | 1 |
| abstract_inverted_index.probabilities. | 63 |
| abstract_inverted_index.dimensionality. | 150 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile |