{"id":"https://openalex.org/W7125475643","doi":"https://doi.org/10.54550/eca2026v6s2r9","title":"A combinatorial model for lane merging: Limited capacity lanes","display_name":"A combinatorial model for lane merging: Limited capacity lanes","publication_year":2026,"publication_date":"2026-01-23","ids":{"openalex":"https://openalex.org/W7125475643","doi":"https://doi.org/10.54550/eca2026v6s2r9"},"language":"en","primary_location":{"id":"doi:10.54550/eca2026v6s2r9","doi":"https://doi.org/10.54550/eca2026v6s2r9","is_oa":true,"landing_page_url":"https://doi.org/10.54550/eca2026v6s2r9","pdf_url":"https://doi.org/10.54550/eca2026v6s2r9","source":{"id":"https://openalex.org/S4210232113","display_name":"Enumerative Combinatorics and Applications","issn_l":"2710-2335","issn":["2710-2335"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":"https://openalex.org/P4310319196","host_organization_name":"University of Haifa","host_organization_lineage":["https://openalex.org/P4310319196"],"host_organization_lineage_names":["University of Haifa"],"type":"journal"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Enumerative Combinatorics and Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.54550/eca2026v6s2r9","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051413658","display_name":"Erik Insko","orcid":"https://orcid.org/0000-0001-8328-320X","observed_orcids":["https://orcid.org/0000-0001-8328-320X"]},"institutions":[{"id":"https://openalex.org/I72357078","display_name":"Central College","ror":"https://ror.org/059y9v737","country_code":"US","type":"education","lineage":["https://openalex.org/I72357078"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Erik Insko","raw_affiliation_strings":["Department of Analytical and Physical Sciences , Central College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Analytical and Physical Sciences , Central College","institution_ids":["https://openalex.org/I72357078"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103149908","display_name":"Katie Johnson","orcid":"https://orcid.org/0000-0002-1224-1421","observed_orcids":["https://orcid.org/0000-0002-1224-1421"]},"institutions":[{"id":"https://openalex.org/I72357078","display_name":"Central College","ror":"https://ror.org/059y9v737","country_code":"US","type":"education","lineage":["https://openalex.org/I72357078"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Katie Johnson","raw_affiliation_strings":["Department of Analytical and Physical Sciences , Central College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Analytical and Physical Sciences , Central College","institution_ids":["https://openalex.org/I72357078"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112741377","display_name":"Shaun D. Sullivan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2801014300","display_name":"Florida Gulf Coast University","ror":"https://ror.org/05tc5bm31","country_code":"US","type":"education","lineage":["https://openalex.org/I2801014300"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shaun Sullivan","raw_affiliation_strings":["Department of Mathematics , Florida Gulf Coast University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Florida Gulf Coast University","institution_ids":["https://openalex.org/I2801014300"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"2","first_page":"Article #S2R9","last_page":"Article #S2R9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/lane-merging","display_name":"lane merging","score":0.9929999709129333},{"id":"https://openalex.org/keywords/lattice-paths","display_name":"lattice paths","score":0.6290000081062317},{"id":"https://openalex.org/keywords/binary-strings","display_name":"binary strings","score":0.7440000176429749},{"id":"https://openalex.org/keywords/driver-behavior","display_name":"driver behavior","score":0.48100000619888306},{"id":"https://openalex.org/keywords/bijections","display_name":"bijections","score":0.8999999761581421}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5475000143051147},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.26489999890327454},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.25369998812675476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24779999256134033},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23890000581741333},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.23659999668598175},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.23360000550746918},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23229999840259552},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.22769999504089355}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.54550/eca2026v6s2r9","doi":"https://doi.org/10.54550/eca2026v6s2r9","is_oa":true,"landing_page_url":"https://doi.org/10.54550/eca2026v6s2r9","pdf_url":"https://doi.org/10.54550/eca2026v6s2r9","source":{"id":"https://openalex.org/S4210232113","display_name":"Enumerative Combinatorics and Applications","issn_l":"2710-2335","issn":["2710-2335"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":"https://openalex.org/P4310319196","host_organization_name":"University of Haifa","host_organization_lineage":["https://openalex.org/P4310319196"],"host_organization_lineage_names":["University of Haifa"],"type":"journal"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Enumerative Combinatorics and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.54550/eca2026v6s2r9","doi":"https://doi.org/10.54550/eca2026v6s2r9","is_oa":true,"landing_page_url":"https://doi.org/10.54550/eca2026v6s2r9","pdf_url":"https://doi.org/10.54550/eca2026v6s2r9","source":{"id":"https://openalex.org/S4210232113","display_name":"Enumerative Combinatorics and Applications","issn_l":"2710-2335","issn":["2710-2335"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":"https://openalex.org/P4310319196","host_organization_name":"University of Haifa","host_organization_lineage":["https://openalex.org/P4310319196"],"host_organization_lineage_names":["University of Haifa"],"type":"journal"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Enumerative Combinatorics and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7125475643.pdf","grobid_xml":"https://content.openalex.org/works/W7125475643.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4226435026","https://openalex.org/W7171784889","https://openalex.org/W2083465271","https://openalex.org/W167140369","https://openalex.org/W7117972088","https://openalex.org/W831157895","https://openalex.org/W1755832249","https://openalex.org/W2351052773","https://openalex.org/W172129169","https://openalex.org/W2577869454"],"abstract_inverted_index":{"A":[0],"one-lane":[1],"road":[2],"briefly":[3],"expands":[4],"to":[5,63],"two":[6],"lanes":[7],"at":[8],"a":[9,32,76],"stoplight":[10],"before":[11],"merging":[12],"back":[13],"into":[14],"one.Some":[15],"drivers":[16],"always":[17],"choose":[18],"the":[19,25,29,56,72,81,85,93],"right":[20,30,73],"lane,":[21,27,58],"while":[22],"others":[23],"pick":[24],"shorter":[26],"favoring":[28],"in":[31,55,80],"tie.In":[33],"our":[34],"previous":[35],"paper,":[36],"we":[37,66],"represented":[38],"arrival":[39],"sequences":[40],"as":[41],"binary":[42],"strings":[43],"that":[44],"created":[45],"lattice":[46],"paths,":[47],"and":[48],"analyzed":[49],"how":[50],"many":[51],"vehicles":[52],"end":[53],"up":[54],"left":[57,82],"drawing":[59],"heavily":[60],"on":[61,92],"connections":[62],"ballot":[64],"paths.Presently,":[65],"consider":[67],"limited":[68],"lane":[69,74],"capacities:":[70],"when":[71],"fills,":[75],"gap":[77,90],"can":[78],"form":[79],"lane.We":[83],"calculate":[84],"expected":[86],"size":[87],"of":[88,95],"this":[89],"based":[91],"proportion":[94],"each":[96],"driver":[97],"type,":[98],"including":[99],"new":[100],"bijections.":[101]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-01-24T00:00:00"}