{"id":"https://openalex.org/W4249008277","doi":"https://doi.org/10.1504/ijmor.2016.10000114","title":"Searching for a d-dimensional Brownian target with multiple sensors","display_name":"Searching for a d-dimensional Brownian target with multiple sensors","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W4249008277","doi":"https://doi.org/10.1504/ijmor.2016.10000114"},"language":"en","primary_location":{"id":"doi:10.1504/ijmor.2016.10000114","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijmor.2016.10000114","pdf_url":null,"source":{"id":"https://openalex.org/S135796719","display_name":"International Journal of Mathematics in Operational Research","issn_l":"1757-5850","issn":["1757-5850","1757-5869"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics in Operational Research","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/A5079922182","display_name":"Mohamed Abd Allah El\u2010Hadidy","orcid":"https://orcid.org/0000-0002-9407-9586"},"institutions":[{"id":"https://openalex.org/I21376657","display_name":"Tanta University","ror":"https://ror.org/016jp5b92","country_code":"EG","type":"education","lineage":["https://openalex.org/I21376657"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Mohamed Abd Allah El Hadidy","raw_affiliation_strings":["Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt","institution_ids":["https://openalex.org/I21376657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079922182"],"corresponding_institution_ids":["https://openalex.org/I21376657"],"apc_list":null,"apc_paid":null,"fwci":2.3625,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.90604871,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":"3","first_page":"279","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9986000061035156,"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/T12288","display_name":"Optimization and Search Problems","score":0.9986000061035156,"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.9682999849319458,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6468328237533569},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.591512143611908},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5622288584709167},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4978773593902588},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48371201753616333},{"id":"https://openalex.org/keywords/real-line","display_name":"Real line","score":0.4746580421924591},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.45997145771980286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4552958011627197},{"id":"https://openalex.org/keywords/search-problem","display_name":"Search problem","score":0.4459380805492401},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.4353451430797577},{"id":"https://openalex.org/keywords/search-theory","display_name":"Search theory","score":0.4318331480026245},{"id":"https://openalex.org/keywords/plan","display_name":"Plan (archaeology)","score":0.4183545708656311},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.41770774126052856},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3779650330543518},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3473537564277649},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1765139400959015},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.14784353971481323},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09052518010139465}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6468328237533569},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.591512143611908},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5622288584709167},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4978773593902588},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48371201753616333},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.4746580421924591},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.45997145771980286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4552958011627197},{"id":"https://openalex.org/C201789804","wikidata":"https://www.wikidata.org/wiki/Q2362762","display_name":"Search problem","level":2,"score":0.4459380805492401},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.4353451430797577},{"id":"https://openalex.org/C98306058","wikidata":"https://www.wikidata.org/wiki/Q3526893","display_name":"Search theory","level":2,"score":0.4318331480026245},{"id":"https://openalex.org/C2776505523","wikidata":"https://www.wikidata.org/wiki/Q4785468","display_name":"Plan (archaeology)","level":2,"score":0.4183545708656311},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.41770774126052856},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3779650330543518},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3473537564277649},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1765139400959015},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.14784353971481323},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09052518010139465},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1504/ijmor.2016.10000114","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijmor.2016.10000114","pdf_url":null,"source":{"id":"https://openalex.org/S135796719","display_name":"International Journal of Mathematics in Operational Research","issn_l":"1757-5850","issn":["1757-5850","1757-5869"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics in Operational Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W1607154928","https://openalex.org/W1876645393","https://openalex.org/W2350406672","https://openalex.org/W2902565228","https://openalex.org/W3169577752","https://openalex.org/W1974453060","https://openalex.org/W3003633160","https://openalex.org/W3123019471","https://openalex.org/W647261052"],"abstract_inverted_index":{"We":[0,15],"consider":[1],"a":[2,6,20,58],"search":[3,26,59,92],"problem":[4],"for":[5,27],"d-dimensional":[7],"Brownian":[8],"target":[9,82],"that":[10,94],"moves":[11,34],"randomly":[12],"on":[13],"d-space.":[14],"have":[16],"n-searchers":[17],"moving":[18],"with":[19],"linear":[21],"paths":[22],"in":[23,39],"d-dimension":[24],"to":[25,56],"the":[28,32,43,63,67,71,78,81,87,90,96,100],"target.":[29],"Each":[30],"of":[31,42,47,52,70,77,89,99],"searchers":[33,79],"continuously":[35],"along":[36],"its":[37,48],"line":[38],"both":[40],"directions":[41],"starting":[44],"point":[45],"(origin":[46],"line).":[49],"The":[50],"purpose":[51],"this":[53],"paper":[54],"is":[55],"formulate":[57],"model":[60],"and":[61,80],"find":[62],"condition":[64],"under":[65],"which":[66],"expected":[68,97],"value":[69,98],"first":[72,101],"meeting":[73,102],"time":[74],"between":[75],"one":[76],"finite.":[83],"Also,":[84],"we":[85],"show":[86],"existence":[88],"optimal":[91],"plan":[93],"minimises":[95],"time.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
