On Worst Case Robin-Hood Hashing
Resumen:
We consider open addressing hashing, and implement it by using the Robin Hood strategy, that is, in case of collision, the element that has traveled the furthest can stay in the slot. We hash elements into a table of size n where each probe is independent and uniformly distributed over the table, and [ 1 is a constant. Let Mn be the maximum search time for any of the elements in the table. We show that with probability tending to one, Mn E [kig2 logn + s, log2 logn + T] for some constants s, T depending upon alfa only. Tis is an exponential improvement over the maximum search time in case of the standard FCFS (first come first served) collision strategy, and virtually matches the performance of multiple choice hash methods.
| 2002 | |
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OPEN ADRESSING HASHING ROBIN HOOD WORST-CASE SEARCH TIME COLLISION RESOLUTION PROBABILISTIC ANALYSIS OF ALGORITHMS |
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| Universidad de la República | |
| COLIBRI | |
| http://hdl.handle.net/20.500.12008/3481 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución – No Comercial – Sin Derivadas (CC BY-NC-ND 4.0) |
| _version_ | 1807522943684575232 |
|---|---|
| author | Devroye, Luc |
| author2 | Morin, Pat Viola, Alfredo |
| author2_role | author author |
| author_facet | Devroye, Luc Morin, Pat Viola, Alfredo |
| author_role | author |
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| bitstream.checksumAlgorithm.fl_str_mv | MD5 MD5 MD5 MD5 MD5 |
| bitstream.url.fl_str_mv | http://localhost:8080/xmlui/bitstream/20.500.12008/3481/5/license.txt http://localhost:8080/xmlui/bitstream/20.500.12008/3481/2/license_text http://localhost:8080/xmlui/bitstream/20.500.12008/3481/3/license_url http://localhost:8080/xmlui/bitstream/20.500.12008/3481/4/license_rdf http://localhost:8080/xmlui/bitstream/20.500.12008/3481/1/TR0212.pdf |
| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Devroye, Luc Morin, Pat Viola, Alfredo |
| dc.date.accessioned.none.fl_str_mv | 2014-12-02T16:06:42Z |
| dc.date.available.none.fl_str_mv | 2014-12-02T16:06:42Z |
| dc.date.issued.es.fl_str_mv | 2002 |
| dc.date.submitted.es.fl_str_mv | 20141202 |
| dc.description.abstract.none.fl_txt_mv | We consider open addressing hashing, and implement it by using the Robin Hood strategy, that is, in case of collision, the element that has traveled the furthest can stay in the slot. We hash elements into a table of size n where each probe is independent and uniformly distributed over the table, and [ 1 is a constant. Let Mn be the maximum search time for any of the elements in the table. We show that with probability tending to one, Mn E [kig2 logn + s, log2 logn + T] for some constants s, T depending upon alfa only. Tis is an exponential improvement over the maximum search time in case of the standard FCFS (first come first served) collision strategy, and virtually matches the performance of multiple choice hash methods. |
| dc.format.extent.es.fl_str_mv | 18 p. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | DEVROYE, L., MORIN, P., VIOLA, A. "On Worst Case Robin-Hood Hashing". Reportes Técnicos 02-12. UR. FI – INCO, 2002. |
| dc.identifier.issn.es.fl_str_mv | 0797-6410 |
| dc.identifier.uri.none.fl_str_mv | http://hdl.handle.net/20.500.12008/3481 |
| dc.language.iso.none.fl_str_mv | in |
| dc.publisher.es.fl_str_mv | UR. FI – INCO. |
| dc.relation.ispartof.es.fl_str_mv | Reportes Técnicos 02-12 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución – No Comercial – Sin Derivadas (CC BY-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | OPEN ADRESSING HASHING ROBIN HOOD WORST-CASE SEARCH TIME COLLISION RESOLUTION PROBABILISTIC ANALYSIS OF ALGORITHMS |
| dc.title.none.fl_str_mv | On Worst Case Robin-Hood Hashing |
| dc.type.es.fl_str_mv | Reporte técnico |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/report |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | We consider open addressing hashing, and implement it by using the Robin Hood strategy, that is, in case of collision, the element that has traveled the furthest can stay in the slot. We hash elements into a table of size n where each probe is independent and uniformly distributed over the table, and [ 1 is a constant. Let Mn be the maximum search time for any of the elements in the table. We show that with probability tending to one, Mn E [kig2 logn + s, log2 logn + T] for some constants s, T depending upon alfa only. Tis is an exponential improvement over the maximum search time in case of the standard FCFS (first come first served) collision strategy, and virtually matches the performance of multiple choice hash methods. |
| eu_rights_str_mv | openAccess |
| format | report |
| id | COLIBRI_1826c098a89b696d263b2b40d8575102 |
| identifier_str_mv | DEVROYE, L., MORIN, P., VIOLA, A. "On Worst Case Robin-Hood Hashing". Reportes Técnicos 02-12. UR. FI – INCO, 2002. 0797-6410 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language_invalid_str_mv | in |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/3481 |
| publishDate | 2002 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución – No Comercial – Sin Derivadas (CC BY-NC-ND 4.0) |
| spelling | 2014-12-02T16:06:42Z2014-12-02T16:06:42Z200220141202DEVROYE, L., MORIN, P., VIOLA, A. "On Worst Case Robin-Hood Hashing". Reportes Técnicos 02-12. UR. FI – INCO, 2002.0797-6410http://hdl.handle.net/20.500.12008/3481We consider open addressing hashing, and implement it by using the Robin Hood strategy, that is, in case of collision, the element that has traveled the furthest can stay in the slot. We hash elements into a table of size n where each probe is independent and uniformly distributed over the table, and [ 1 is a constant. Let Mn be the maximum search time for any of the elements in the table. We show that with probability tending to one, Mn E [kig2 logn + s, log2 logn + T] for some constants s, T depending upon alfa only. Tis is an exponential improvement over the maximum search time in case of the standard FCFS (first come first served) collision strategy, and virtually matches the performance of multiple choice hash methods.Made available in DSpace on 2014-12-02T16:06:42Z (GMT). No. of bitstreams: 5 TR0212.pdf: 172725 bytes, checksum: f3d7c5b17f897a4733a9f6126b3f17e0 (MD5) license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4244 bytes, checksum: 528b6a3c8c7d0c6e28129d576e989607 (MD5) Previous issue date: 200218 p.application/pdfinUR. FI – INCO.Reportes Técnicos 02-12Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución – No Comercial – Sin Derivadas (CC BY-NC-ND 4.0)OPEN ADRESSINGHASHINGROBIN HOODWORST-CASE SEARCH TIMECOLLISION RESOLUTIONPROBABILISTIC ANALYSIS OF ALGORITHMSOn Worst Case Robin-Hood HashingReporte técnicoinfo:eu-repo/semantics/reportinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaDevroye, LucMorin, PatViola, 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- Universidad de la Repúblicafalse |
| spellingShingle | On Worst Case Robin-Hood Hashing Devroye, Luc OPEN ADRESSING HASHING ROBIN HOOD WORST-CASE SEARCH TIME COLLISION RESOLUTION PROBABILISTIC ANALYSIS OF ALGORITHMS |
| status_str | publishedVersion |
| title | On Worst Case Robin-Hood Hashing |
| title_full | On Worst Case Robin-Hood Hashing |
| title_fullStr | On Worst Case Robin-Hood Hashing |
| title_full_unstemmed | On Worst Case Robin-Hood Hashing |
| title_short | On Worst Case Robin-Hood Hashing |
| title_sort | On Worst Case Robin-Hood Hashing |
| topic | OPEN ADRESSING HASHING ROBIN HOOD WORST-CASE SEARCH TIME COLLISION RESOLUTION PROBABILISTIC ANALYSIS OF ALGORITHMS |
| url | http://hdl.handle.net/20.500.12008/3481 |
