{"id":"https://openalex.org/W1967541973","doi":"https://doi.org/10.1093/comjnl/bxq030","title":"The Critical Grid Size and Transmission Radius for Local-Minimum-Free Grid Routing in Wireless Ad Hoc and Sensor Networks","display_name":"The Critical Grid Size and Transmission Radius for Local-Minimum-Free Grid Routing in Wireless Ad Hoc and Sensor Networks","publication_year":2010,"publication_date":"2010-03-26","ids":{"openalex":"https://openalex.org/W1967541973","doi":"https://doi.org/10.1093/comjnl/bxq030","mag":"1967541973"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxq030","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxq030","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111691648","display_name":"C.-W. Yi","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"C.-W. Yi","raw_affiliation_strings":["Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036031118","display_name":"Peng\u2010Jun Wan","orcid":"https://orcid.org/0000-0001-7926-5711"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P.-J. Wan","raw_affiliation_strings":["Department of Computer Science, Illinois Institute of Technology, Chicago, IL 60616, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Illinois Institute of Technology, Chicago, IL 60616, USA","institution_ids":["https://openalex.org/I180949307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046288064","display_name":"Chih-Min Su","orcid":"https://orcid.org/0000-0002-8121-3977"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"C.-M. Su","raw_affiliation_strings":["Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635925","display_name":"Chih\u2013Wei Huang","orcid":"https://orcid.org/0000-0002-0202-8977"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"C.-W. Huang","raw_affiliation_strings":["Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111691648"],"corresponding_institution_ids":["https://openalex.org/I148366613"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09772109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":"10","first_page":"1621","last_page":"1631"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":1.0,"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/T10246","display_name":"Mobile Ad Hoc Networks","score":1.0,"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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.9997000098228455,"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7306796312332153},{"id":"https://openalex.org/keywords/wireless-ad-hoc-network","display_name":"Wireless ad hoc network","score":0.7206593751907349},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6819261908531189},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.6544235944747925},{"id":"https://openalex.org/keywords/ad-hoc-wireless-distribution-service","display_name":"Ad hoc wireless distribution service","score":0.5910097360610962},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5659470558166504},{"id":"https://openalex.org/keywords/optimized-link-state-routing-protocol","display_name":"Optimized Link State Routing Protocol","score":0.5381828546524048},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5206886529922485},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.4869314432144165},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.4679488241672516},{"id":"https://openalex.org/keywords/wireless-routing-protocol","display_name":"Wireless Routing Protocol","score":0.4118630588054657},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.36534589529037476},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.3600035309791565},{"id":"https://openalex.org/keywords/routing-protocol","display_name":"Routing protocol","score":0.2533479332923889},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15810945630073547},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.1323288083076477}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7306796312332153},{"id":"https://openalex.org/C94523657","wikidata":"https://www.wikidata.org/wiki/Q4085781","display_name":"Wireless ad hoc network","level":3,"score":0.7206593751907349},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6819261908531189},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.6544235944747925},{"id":"https://openalex.org/C190526755","wikidata":"https://www.wikidata.org/wiki/Q4678071","display_name":"Ad hoc wireless distribution service","level":5,"score":0.5910097360610962},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5659470558166504},{"id":"https://openalex.org/C204739117","wikidata":"https://www.wikidata.org/wiki/Q1368373","display_name":"Optimized Link State Routing Protocol","level":4,"score":0.5381828546524048},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5206886529922485},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.4869314432144165},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.4679488241672516},{"id":"https://openalex.org/C47318570","wikidata":"https://www.wikidata.org/wiki/Q8026863","display_name":"Wireless Routing Protocol","level":4,"score":0.4118630588054657},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.36534589529037476},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.3600035309791565},{"id":"https://openalex.org/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.2533479332923889},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15810945630073547},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.1323288083076477},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/comjnl/bxq030","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxq030","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.298.7997","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.7997","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.iit.edu/~wan/Journal/cj10.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320322214","display_name":"Industrial Technology Research Institute","ror":"https://ror.org/05szzwt63"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1550444125","https://openalex.org/W1551825541","https://openalex.org/W1569456568","https://openalex.org/W1726571582","https://openalex.org/W1918250237","https://openalex.org/W1966415263","https://openalex.org/W1967533244","https://openalex.org/W1991507050","https://openalex.org/W1992268357","https://openalex.org/W2006033216","https://openalex.org/W2007647264","https://openalex.org/W2014550373","https://openalex.org/W2020122265","https://openalex.org/W2035776116","https://openalex.org/W2051440630","https://openalex.org/W2069423052","https://openalex.org/W2080979018","https://openalex.org/W2088521668","https://openalex.org/W2088595192","https://openalex.org/W2091757707","https://openalex.org/W2098913392","https://openalex.org/W2101963262","https://openalex.org/W2102258543","https://openalex.org/W2102604933","https://openalex.org/W2111057502","https://openalex.org/W2113505917","https://openalex.org/W2117339995","https://openalex.org/W2119221712","https://openalex.org/W2124651399","https://openalex.org/W2129702955","https://openalex.org/W2131205845","https://openalex.org/W2131480096","https://openalex.org/W2135572590","https://openalex.org/W2137563374","https://openalex.org/W2137775453","https://openalex.org/W2148565706","https://openalex.org/W2149937472","https://openalex.org/W2150388519","https://openalex.org/W2152809170","https://openalex.org/W2156689181","https://openalex.org/W2157878145","https://openalex.org/W2161725792","https://openalex.org/W2162685648","https://openalex.org/W2164192722","https://openalex.org/W2164470020","https://openalex.org/W2166485324","https://openalex.org/W2169293240","https://openalex.org/W2220982550","https://openalex.org/W3143219376","https://openalex.org/W4230136419","https://openalex.org/W4236944153","https://openalex.org/W4248744642","https://openalex.org/W4250284360","https://openalex.org/W4256168796"],"related_works":["https://openalex.org/W2534426475","https://openalex.org/W2160109169","https://openalex.org/W2153238122","https://openalex.org/W2471782298","https://openalex.org/W3135686529","https://openalex.org/W2243041986","https://openalex.org/W2060613440","https://openalex.org/W2181759599","https://openalex.org/W4382312353","https://openalex.org/W2153465785"],"abstract_inverted_index":{"In":[0],"grid":[1,71,99,103,130],"routing,":[2,100],"the":[3,45,74,102,106,129,134,160,204,219,229],"plane":[4],"is":[5,159,228],"tessellated":[6],"into":[7],"equal-sized":[8],"square":[9],"cells.Two":[10],"cells":[11,15,34,63],"are":[12,25,31,43,55,61,111,238],"called":[13,26,101],"neighbor":[14,33,82],"if":[16,29,140,174,185],"they":[17,30],"share":[18],"a":[19,68,114,122],"common":[20],"edge,":[21],"and":[22,35,105,125,132,150,178,199],"two":[23,95],"nodes":[24,83,110],"routing":[27,58,72],"neighbors":[28,59],"in":[32,44,62,90],"within":[36],"each":[37],"other's":[38],"transmission":[39,107,135,206],"range.If":[40],"communication":[41],"parties":[42],"same":[46],"cell,":[47],"packets":[48,54],"can":[49],"be":[50],"transmitted":[51],"directly;":[52],"otherwise,":[53],"forwarded":[56],"to":[57,65,202,240],"that":[60,109,139,213],"closer":[64],"destination":[66],"cells.As":[67],"greedy":[69],"strategy,":[70],"suffers":[73],"existence":[75],"of":[76,98],"local":[77,172,183],"minima":[78,173,184],"at":[79],"which":[80],"no":[81],"exist":[84,171,182],"for":[85,146,162,190,209],"relaying":[86],"packets.To":[87],"guarantee":[88],"deliverability,":[89],"this":[91,242],"paper,":[92],"we":[93,137,196,211],"investigate":[94],"vital":[96],"parameters":[97],"size":[104,131],"radius.Assume":[108],"represented":[112],"by":[113],"Poisson":[115],"point":[116],"process":[117],"with":[118],"rate":[119],"n":[120],"over":[121,231],"unit-area":[123],"square,":[124],"let":[126],"l":[127,141],"denote":[128],"r":[133,151,221],"radius.First,":[136],"show":[138,212],"=":[142,152,157,217,223],"\u03b2":[143,149,156,175,186,193,215,233],"ln":[144,226],"n/n":[145,227],"some":[147],"constant":[148],"\u221a":[153,225],"5l,":[154],"then":[155],"1":[158,177],"threshold":[161],"deliverability.In":[163],"other":[164],"words,":[165],"there":[166,179],"almost":[167,180],"surely":[168,181],"do":[169],"not":[170],">":[176,194,234],"<":[187],"1.":[188,235],"Next,":[189],"any":[191],"given":[192,239],"1,":[195],"give":[197],"sufficient":[198],"necessary":[200],"conditions":[201],"determine":[203],"critical":[205],"radius":[207],"(CTR)":[208],"deliverability.Then,":[210],"as":[214],"\u223c":[216,222],"1.092,":[218],"CTR":[220],"2.09":[224],"minimum":[230],"all":[232],"Simulation":[236],"results":[237],"validate":[241],"theoretical":[243],"work.":[244]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
