{"id":"https://openalex.org/W4409411125","doi":"https://doi.org/10.3390/axioms14040290","title":"Minimizing Makespan Scheduling on a Single Machine with General Positional Deterioration Effects","display_name":"Minimizing Makespan Scheduling on a Single Machine with General Positional Deterioration Effects","publication_year":2025,"publication_date":"2025-04-12","ids":{"openalex":"https://openalex.org/W4409411125","doi":"https://doi.org/10.3390/axioms14040290"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14040290","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040290","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14040290","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069432693","display_name":"Yu Sun","orcid":"https://orcid.org/0000-0001-8414-5159"},"institutions":[{"id":"https://openalex.org/I125904092","display_name":"Shenyang Aerospace University","ror":"https://ror.org/02423gm04","country_code":"CN","type":"education","lineage":["https://openalex.org/I125904092"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu Sun","raw_affiliation_strings":["School of Science, Shenyang Aerospace University, Shenyang 110136, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Shenyang Aerospace University, Shenyang 110136, China","institution_ids":["https://openalex.org/I125904092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039461117","display_name":"Hongyu He","orcid":"https://orcid.org/0000-0002-6356-6306"},"institutions":[{"id":"https://openalex.org/I42852656","display_name":"Shenyang University","ror":"https://ror.org/04ddfwm68","country_code":"CN","type":"education","lineage":["https://openalex.org/I42852656"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongyu He","raw_affiliation_strings":["Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","School of Economics, Shenyang University, Shenyang 110044, China"],"affiliations":[{"raw_affiliation_string":"Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","institution_ids":["https://openalex.org/I42852656"]},{"raw_affiliation_string":"School of Economics, Shenyang University, Shenyang 110044, China","institution_ids":["https://openalex.org/I42852656"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064317159","display_name":"Yanzhi Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I42852656","display_name":"Shenyang University","ror":"https://ror.org/04ddfwm68","country_code":"CN","type":"education","lineage":["https://openalex.org/I42852656"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanzhi Zhao","raw_affiliation_strings":["Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","School of Economics, Shenyang University, Shenyang 110044, China"],"affiliations":[{"raw_affiliation_string":"Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China","institution_ids":["https://openalex.org/I42852656"]},{"raw_affiliation_string":"School of Economics, Shenyang University, Shenyang 110044, China","institution_ids":["https://openalex.org/I42852656"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049852138","display_name":"Ji\u2010Bo Wang","orcid":"https://orcid.org/0000-0003-2271-6459"},"institutions":[{"id":"https://openalex.org/I125904092","display_name":"Shenyang Aerospace University","ror":"https://ror.org/02423gm04","country_code":"CN","type":"education","lineage":["https://openalex.org/I125904092"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji-Bo Wang","raw_affiliation_strings":["School of Science, Shenyang Aerospace University, Shenyang 110136, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Shenyang Aerospace University, Shenyang 110136, China","institution_ids":["https://openalex.org/I125904092"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069432693"],"corresponding_institution_ids":["https://openalex.org/I125904092"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":11.6594,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.98390805,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"14","issue":"4","first_page":"290","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998999834060669,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998999834060669,"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/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9970999956130981,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9958999752998352,"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/job-shop-scheduling","display_name":"Job shop scheduling","score":0.760563313961029},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5735228061676025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5322069525718689},{"id":"https://openalex.org/keywords/single-machine-scheduling","display_name":"Single-machine scheduling","score":0.5090782046318054},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3565906286239624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20858636498451233},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.13935402035713196}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.760563313961029},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5735228061676025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5322069525718689},{"id":"https://openalex.org/C2780271269","wikidata":"https://www.wikidata.org/wiki/Q19295956","display_name":"Single-machine scheduling","level":4,"score":0.5090782046318054},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3565906286239624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20858636498451233},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.13935402035713196},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14040290","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040290","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:89bc6ea55744431cb278b55d53188549","is_oa":true,"landing_page_url":"https://doaj.org/article/89bc6ea55744431cb278b55d53188549","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 4, p 290 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14040290","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040290","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W1986898315","https://openalex.org/W1991437907","https://openalex.org/W2005776609","https://openalex.org/W2027429074","https://openalex.org/W2053721277","https://openalex.org/W2069664523","https://openalex.org/W2070245112","https://openalex.org/W2074235891","https://openalex.org/W2087411299","https://openalex.org/W2090069860","https://openalex.org/W2090648144","https://openalex.org/W2460639974","https://openalex.org/W2538372929","https://openalex.org/W2727036158","https://openalex.org/W2738004730","https://openalex.org/W2804274548","https://openalex.org/W2899961595","https://openalex.org/W2963954604","https://openalex.org/W3034470636","https://openalex.org/W3082099499","https://openalex.org/W4206816655","https://openalex.org/W4213245831","https://openalex.org/W4224268770","https://openalex.org/W4236796530","https://openalex.org/W4286268183","https://openalex.org/W4293065883","https://openalex.org/W4303446722","https://openalex.org/W4313681148","https://openalex.org/W4367049004","https://openalex.org/W4377089140","https://openalex.org/W4382024278","https://openalex.org/W4385076222","https://openalex.org/W4385781762","https://openalex.org/W4387663802","https://openalex.org/W4389392555","https://openalex.org/W4390823926","https://openalex.org/W4392947099","https://openalex.org/W4393990661","https://openalex.org/W4394725630","https://openalex.org/W4394859505","https://openalex.org/W4395669177","https://openalex.org/W4399208907","https://openalex.org/W4399322996","https://openalex.org/W4400086563","https://openalex.org/W4400343140","https://openalex.org/W4400978734","https://openalex.org/W4401132788","https://openalex.org/W4401578758","https://openalex.org/W4401610564","https://openalex.org/W4401811134","https://openalex.org/W4402000123","https://openalex.org/W4402529885","https://openalex.org/W4402716733","https://openalex.org/W4402753137","https://openalex.org/W4404020935","https://openalex.org/W4404832893","https://openalex.org/W4405625504","https://openalex.org/W4406738026","https://openalex.org/W4407766395","https://openalex.org/W6692396820"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W3204654320","https://openalex.org/W2162001022","https://openalex.org/W2092240563","https://openalex.org/W2074319831","https://openalex.org/W2094800167","https://openalex.org/W2020576236","https://openalex.org/W1993477581","https://openalex.org/W2390182138"],"abstract_inverted_index":{"This":[0],"work":[1],"studies":[2],"single-machine":[3],"scheduling":[4,46],"with":[5,44],"general":[6,14],"position-dependent":[7],"deterioration,":[8],"where":[9,48],"job":[10,30],"processing":[11,49,71],"times":[12],"are":[13],"non-decreasing":[15],"functions":[16],"dependent":[17],"on":[18],"their":[19],"positions":[20],"in":[21],"a":[22,29],"sequence.":[23],"The":[24,37],"goal":[25],"is":[26,35,66],"to":[27,42,53],"find":[28],"sequence":[31],"such":[32],"that":[33,63],"makespan":[34],"minimized.":[36],"problem":[38,65],"can":[39],"be":[40],"extended":[41],"deal":[43],"green":[45],"environment":[47],"time":[50,72],"increases":[51],"due":[52],"additional":[54],"carbon-reduction":[55],"procedure.":[56],"Under":[57],"some":[58],"optimal":[59],"properties,":[60],"we":[61],"prove":[62],"the":[64,69],"solved":[67],"by":[68,74],"largest":[70],"(denoted":[73],"LPT)":[75],"first":[76],"rule.":[77]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}