{"id":"https://openalex.org/W308266209","doi":"https://doi.org/10.1145/1248377.1248405","title":"Packing to angles and sectors","display_name":"Packing to angles and sectors","publication_year":2007,"publication_date":"2007-06-09","ids":{"openalex":"https://openalex.org/W308266209","doi":"https://doi.org/10.1145/1248377.1248405","mag":"308266209"},"language":"en","primary_location":{"id":"doi:10.1145/1248377.1248405","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1248377.1248405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the nineteenth annual ACM symposium on Parallel algorithms and architectures","raw_type":"proceedings-article"},"type":"conference-paper","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/A5023910624","display_name":"Piotr Berman","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Piotr Berman","raw_affiliation_strings":["Pennsylvania State University, University Park, PA","PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University, University Park, PA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101614013","display_name":"Jieun Jeong","orcid":"https://orcid.org/0000-0002-2601-3219"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jieun Jeong","raw_affiliation_strings":["Pennsylvania State University, University Park, PA","PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University, University Park, PA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036801391","display_name":"Shiva Prasad Kasiviswanathan","orcid":"https://orcid.org/0000-0002-1725-2621"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shiva Prasad Kasiviswanathan","raw_affiliation_strings":["Pennsylvania State University, University Park, PA","PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University, University Park, PA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030643132","display_name":"Bhuvan Urgaonkar","orcid":"https://orcid.org/0000-0003-3495-6345"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bhuvan Urgaonkar","raw_affiliation_strings":["Pennsylvania State University, University Park, PA","PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State University, University Park, PA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"PENNSYLVANIA STATE UNIVERSITY, UNIVERSITY PARK, PA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0392509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"171","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9936000108718872,"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/approximation-algorithm","display_name":"Approximation algorithm","score":0.6948725581169128},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.5870075225830078},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5708231925964355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5459720492362976},{"id":"https://openalex.org/keywords/bin","display_name":"Bin","score":0.532371461391449},{"id":"https://openalex.org/keywords/directional-antenna","display_name":"Directional antenna","score":0.527711808681488},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.5010836124420166},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46709388494491577},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4424852132797241},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.4222645163536072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3564812242984772},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3320091664791107},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2721182703971863}],"concepts":[{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.6948725581169128},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.5870075225830078},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5708231925964355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5459720492362976},{"id":"https://openalex.org/C156273044","wikidata":"https://www.wikidata.org/wiki/Q4913766","display_name":"Bin","level":2,"score":0.532371461391449},{"id":"https://openalex.org/C64671776","wikidata":"https://www.wikidata.org/wiki/Q769152","display_name":"Directional antenna","level":3,"score":0.527711808681488},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.5010836124420166},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46709388494491577},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4424852132797241},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.4222645163536072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3564812242984772},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3320091664791107},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2721182703971863},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1145/1248377.1248405","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1248377.1248405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the nineteenth annual ACM symposium on Parallel algorithms and architectures","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.160.7590","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.160.7590","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.psu.edu/~bhuvan/papers/ps/spaa40-berm.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.372.6665","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.372.6665","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.psu.edu/~kasivisw/dirant.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.8258","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.8258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ce.sharif.ac.ir/~ghodsi/archive/d-papers/SPAA/2007/Packing to Angles and Sectors.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.60.9959","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.60.9959","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.psu.edu/~kasivisw/dirant.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.94.7428","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.94.7428","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eccc.hpi-web.de/eccc-reports/2006/TR06-030/Paper.pdf","raw_type":"text"},{"id":"mag:308266209","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc13.html#BermanJKU06","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1485155300","https://openalex.org/W1512762491","https://openalex.org/W1527755298","https://openalex.org/W1847958188","https://openalex.org/W2022671649","https://openalex.org/W2029828838","https://openalex.org/W2051169745","https://openalex.org/W2100961486","https://openalex.org/W2112112676","https://openalex.org/W2119874970","https://openalex.org/W2122585291","https://openalex.org/W2131992719","https://openalex.org/W2166640289","https://openalex.org/W2167603068"],"related_works":["https://openalex.org/W2091629531","https://openalex.org/W2112692787","https://openalex.org/W2950629493","https://openalex.org/W2028634810","https://openalex.org/W2027589570","https://openalex.org/W2153007741","https://openalex.org/W1490411840","https://openalex.org/W2943320157","https://openalex.org/W2382580030","https://openalex.org/W2949507934","https://openalex.org/W2339146079","https://openalex.org/W1973069046","https://openalex.org/W2578457276","https://openalex.org/W2082569698","https://openalex.org/W2493598666","https://openalex.org/W2170096365","https://openalex.org/W2728737144","https://openalex.org/W1990080641","https://openalex.org/W2631815431","https://openalex.org/W2038354247"],"abstract_inverted_index":{"Motivated":[0],"by":[1,25],"the":[2,22,62,68,78,81,89,115,119,134,137],"widespread":[3],"proliferation":[4],"of":[5,35,57,84,91,105,140],"wireless":[6,112],"networks":[7],"employing":[8],"directional":[9,27,85],"antennas,":[10],"we":[11,125,144],"study":[12],"some":[13],"capacitated":[14,69,107],"covering":[15,70],"problems":[16],"arising":[17,110],"in":[18,111],"these":[19],"networks.":[20,113],"Geometrically,":[21],"area":[23],"covered":[24],"a":[26,33,55,99],"antenna":[28,96],"with":[29,37,80,130],"parameters":[30],"\u03b1,\u03c1,r":[31],"is":[32,74,142],"set":[34,56],"points":[36],"polar":[38],"coordinates":[39],"(r,\u03b8)":[40],"such":[41,87],"that":[42,88],"r":[43,45],"\u2264":[44,48,50],"and":[46,64],"\u03b1":[47,51],"\u03b8":[49],"+":[52],"\u03c1.":[53],"Given":[54],"customers,":[58],"their":[59,65],"positions":[60],"on":[61],"plane":[63],"bandwidth":[66],"demands,":[67],"problem":[71,109],"considered":[72],"here":[73],"to":[75,94,149],"cover":[76,108],"all":[77],"customers":[79,92],"minimum":[82],"number":[83],"antennas":[86,120,141],"demands":[90],"assigned":[93],"an":[95,127],"stays":[97],"within":[98],"bound.":[100],"We":[101],"consider":[102],"two":[103],"settings":[104],"this":[106,146],"In":[114,133],"first":[116],"setting":[117,135],"where":[118,136],"have":[121],"variable":[122],"angular":[123,138],"range,":[124],"present":[126],"approximation":[128,147],"algorithm":[129],"ratio":[131,148],"3.":[132],"range":[139],"fixed,":[143],"improve":[145],"1.5.":[150]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}