{"id":"https://openalex.org/W2131550992","doi":"https://doi.org/10.3233/fi-2011-528","title":"On the Hardness of Reoptimization with Multiple Given Solutions","display_name":"On the Hardness of Reoptimization with Multiple Given Solutions","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2131550992","doi":"https://doi.org/10.3233/fi-2011-528","mag":"2131550992"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2011-528","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2011-528","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5086921684","display_name":"Hans-Joachim B\u00f6ckenhauer","orcid":"https://orcid.org/0000-0001-9164-3674"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Hans-Joachim B\u00f6ckenhauer","raw_affiliation_strings":["Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch","(Correspd.) Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"(Correspd.) Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch#TAB#","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088678782","display_name":"Juraj Hromkovic\u0306","orcid":"https://orcid.org/0000-0001-9754-7042"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Juraj Hromkovi\u010d","raw_affiliation_strings":["Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch","Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch#TAB#","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069551432","display_name":"Andreas Sprock","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Andreas Sprock","raw_affiliation_strings":["Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch","Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Switzerland. hjb@inf.ethz.ch; jhromkov@inf.ethz.ch; andreas.sprock@inf.ethz.ch#TAB#","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086921684"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":2.2935,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87540349,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"110","issue":"1-4","first_page":"59","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9850999712944031,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.377243310213089},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37389013171195984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35690486431121826}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.377243310213089},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37389013171195984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35690486431121826}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2011-528","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2011-528","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W84056012","https://openalex.org/W1485443912","https://openalex.org/W1495119745","https://openalex.org/W1521552723","https://openalex.org/W1574578809","https://openalex.org/W1602543479","https://openalex.org/W1977823240","https://openalex.org/W2007087937","https://openalex.org/W2042882430","https://openalex.org/W2088181319","https://openalex.org/W2089929819","https://openalex.org/W2099459744","https://openalex.org/W2117226423","https://openalex.org/W2143390690","https://openalex.org/W2170929650","https://openalex.org/W2215275723","https://openalex.org/W2264483270","https://openalex.org/W2486715098","https://openalex.org/W2616697817","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"In":[0,62],"reoptimization,":[1,139],"we":[2,22,65,74,117],"consider":[3,118],"the":[4,31,70,95,100,105,119,142],"following":[5],"scenario:":[6],"Given":[7],"an":[8,17,87],"instance":[9,29],"of":[10,30,69,94,121,144],"a":[11,26,67],"hard":[12,40,52],"optimization":[13,41],"problem":[14,98],"together":[15],"with":[16],"optimal":[18,80,84],"solution":[19,81],"for":[20,38,86,91,136],"it,":[21],"want":[23],"to":[24,53,112],"solve":[25],"locally":[27],"modified":[28],"problem.":[32],"It":[33],"has":[34],"recently":[35],"been":[36],"shown":[37],"several":[39],"problems":[42],"that":[43,104,130],"their":[44],"corresponding":[45],"reoptimization":[46,71,107,126],"variants":[47,93],"remain":[48],"\ud835\udca9\ud835\udcab-hard":[49],"or":[50],"even":[51,140],"approximate":[54],"whereas":[55],"they":[56],"often":[57],"admit":[58],"improved":[59],"approximation":[60],"ratios.":[61],"this":[63,113],"paper,":[64],"investigate":[66],"generalization":[68],"concept":[72],"where":[73],"are":[75],"given":[76],"not":[77,134],"only":[78],"one":[79],"but":[82],"multiple":[83,145],"solutions":[85],"instance.":[88],"We":[89,128],"prove,":[90],"some":[92],"Steiner":[96],"tree":[97],"and":[99],"traveling":[101],"salesman":[102],"problem,":[103],"known":[106],"hardness":[108],"results":[109],"carry":[110],"over":[111],"generalized":[114],"setting.":[115],"Moreover,":[116],"performance":[120],"local":[122,131],"search":[123,132],"strategies":[124],"on":[125],"problems.":[127],"show":[129],"does":[133],"work":[135],"solving":[137],"TSP":[138],"in":[141],"presence":[143],"solutions.":[146]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-02T06:04:40.494371","created_date":"2025-10-10T00:00:00"}
