{"id":"https://openalex.org/W1973293454","doi":"https://doi.org/10.1109/glocom.2012.6503645","title":"Operator calculus approach to minimal paths: Precomputed routing in a store and forward satellite constellation","display_name":"Operator calculus approach to minimal paths: Precomputed routing in a store and forward satellite constellation","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W1973293454","doi":"https://doi.org/10.1109/glocom.2012.6503645","mag":"1973293454"},"language":"en","primary_location":{"id":"doi:10.1109/glocom.2012.6503645","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2012.6503645","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Global Communications Conference (GLOBECOM)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-00745161","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007274014","display_name":"Hugo Cruz-Sanchez","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Hugo Cruz-Sanchez","raw_affiliation_strings":["INRIA, Villers-les-Nancy, France","INRIA, 615, rue du Jardin botanique, 54600 Villers-l\u00e8s-Nancy, FRANCE"],"affiliations":[{"raw_affiliation_string":"INRIA, Villers-les-Nancy, France","institution_ids":["https://openalex.org/I4210127166","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, 615, rue du Jardin botanique, 54600 Villers-l\u00e8s-Nancy, FRANCE","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037777428","display_name":"G. Stacey Staples","orcid":"https://orcid.org/0000-0003-4755-7423"},"institutions":[{"id":"https://openalex.org/I87547150","display_name":"Southern Illinois University Edwardsville","ror":"https://ror.org/04cqs5j56","country_code":"US","type":"education","lineage":["https://openalex.org/I2801502357","https://openalex.org/I87547150"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Stacey Staples","raw_affiliation_strings":["Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, IL, USA","Dept. of Mathematics and Statistics, Southern Illinois University Edwardsville, 62026-1653, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, IL, USA","institution_ids":["https://openalex.org/I87547150"]},{"raw_affiliation_string":"Dept. of Mathematics and Statistics, Southern Illinois University Edwardsville, 62026-1653, USA","institution_ids":["https://openalex.org/I87547150"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010539733","display_name":"Ren\u00e9 Schott","orcid":"https://orcid.org/0000-0003-2368-5615"},"institutions":[{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Rene Schott","raw_affiliation_strings":["LORIA, University of Lorraine, Vandoeuvre-les-Nancy, France","LORIA, University of Lorraine, Campus Scientifique, B.P. 239, 54500 Vandoeuvre-l\u00e8s-Nancy, FRANCE"],"affiliations":[{"raw_affiliation_string":"LORIA, University of Lorraine, Vandoeuvre-les-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838"]},{"raw_affiliation_string":"LORIA, University of Lorraine, Campus Scientifique, B.P. 239, 54500 Vandoeuvre-l\u00e8s-Nancy, FRANCE","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100662716","display_name":"Ye\u2010Qiong Song","orcid":"https://orcid.org/0000-0002-3949-340X"},"institutions":[{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ye-Qiong Song","raw_affiliation_strings":["LORIA, University of Lorraine, Vandoeuvre-les-Nancy, France","LORIA, University of Lorraine, Campus Scientifique, B.P. 239, 54500 Vandoeuvre-l\u00e8s-Nancy, FRANCE"],"affiliations":[{"raw_affiliation_string":"LORIA, University of Lorraine, Vandoeuvre-les-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838"]},{"raw_affiliation_string":"LORIA, University of Lorraine, Campus Scientifique, B.P. 239, 54500 Vandoeuvre-l\u00e8s-Nancy, FRANCE","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5007274014"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"],"apc_list":null,"apc_paid":null,"fwci":1.4901,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.82396469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12203","display_name":"Mobile Agent-Based Network Management","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.599516749382019},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5439037084579468},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.5371407270431519},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5258840918540955},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5134211778640747},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.49794888496398926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40842077136039734},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3496982157230377}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.599516749382019},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5439037084579468},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.5371407270431519},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5258840918540955},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5134211778640747},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.49794888496398926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40842077136039734},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3496982157230377},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/glocom.2012.6503645","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2012.6503645","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Global Communications Conference (GLOBECOM)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.845.5169","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.845.5169","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.inria.fr/hal-00745161/document/","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00745161v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00745161","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Globecom2012, IEEE, Dec 2012, Anaheim, California, United States","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00745161v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00745161","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Globecom2012, IEEE, Dec 2012, Anaheim, California, United States","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W197883060","https://openalex.org/W1969884738","https://openalex.org/W1982749113","https://openalex.org/W1986652726","https://openalex.org/W2099926295","https://openalex.org/W2157225291","https://openalex.org/W2160269723","https://openalex.org/W2166236009","https://openalex.org/W2399312166","https://openalex.org/W6712771377"],"related_works":["https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4252555497","https://openalex.org/W3121175838","https://openalex.org/W3016293053","https://openalex.org/W1690653314","https://openalex.org/W2401723157","https://openalex.org/W2784269775","https://openalex.org/W2952904874","https://openalex.org/W324626582"],"abstract_inverted_index":{"An":[0],"innovative":[1],"minimal":[2],"paths":[3,111,161],"algorithm":[4,75,130,187],"based":[5],"on":[6,104],"operator":[7,35,73,155,194,227],"calculus":[8,36,74,156,195,228],"in":[9,69,86,141,182],"graded":[10],"semigroup":[11,66],"algebras":[12,67],"is":[13,78,157,166,221],"described.":[14],"Classical":[15],"approaches":[16],"to":[17,30,46,80,132,143,159,169,200],"routing":[18,85],"problems":[19],"invariably":[20],"require":[21],"construction":[22],"of":[23,28,64,83,137,174,212,218],"trees":[24],"and":[25,147],"the":[26,50,55,61,65,81,105,116,138,154,175,184,193,206,210,213,216,226],"use":[27],"heuristics":[29],"prevent":[31],"combinatorial":[32,145],"explosion.":[33],"The":[34,72,107,121],"approach":[37,229],"presented":[38],"herein,":[39],"however,":[40],"allows":[41],"such":[42],"explicit":[43],"tree":[44,52,185],"constructions":[45],"be":[47,231],"avoided.":[48],"Moreover,":[49],"implicit":[51],"structures":[53],"underlying":[54],"problem":[56,82],"are":[57,113],"pruned":[58],"automatically":[59],"by":[60,97],"inherent":[62],"properties":[63],"used":[68],"this":[70],"approach.":[71],"proposed":[76],"here":[77],"applied":[79],"precomputed":[84],"a":[87,128,135,191,201],"store-and-forward":[88],"(S&F)":[89],"satellite":[90],"constellation,":[91],"which":[92,183],"provides":[93],"message":[94],"communication":[95],"services":[96],"relaying":[98],"messages":[99],"between":[100],"satellites":[101],"through":[102],"gateways":[103],"ground.":[106],"minimum":[108,163],"end-to-end":[109,164,207],"delay":[110,165,208],"obtained":[112,126],"compared":[114],"with":[115],"best":[117,122,176],"existing":[118,123,177],"heuristics-based":[119],"results.":[120],"results":[124,198],"were":[125],"from":[127],"greedy":[129],"designed":[131],"explore":[133],"only":[134],"portion":[136],"solution":[139],"space":[140],"order":[142],"avoid":[144],"explosion":[146],"memory":[148],"overload.":[149],"In":[150,179],"all":[151],"test":[152],"cases,":[153,181],"shown":[158],"return":[160],"whose":[162],"either":[167],"equal":[168],"or":[170],"less":[171],"than":[172],"that":[173],"result.":[178],"some":[180],"pruning":[186],"did":[188],"not":[189],"find":[190],"solution,":[192],"does.":[196],"These":[197],"correspond":[199],"one-single":[202],"constraint":[203],"case":[204,217],"considering":[205],"as":[209],"cost":[211],"links,":[214],"if":[215],"multi":[219],"constraints":[220],"considered":[222],"(e.g.":[223],"bandwidth,":[224],"rapidity,...)":[225],"can":[230],"similarly":[232],"used.":[233]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}