{"id":"https://openalex.org/W2081538664","doi":"https://doi.org/10.3390/e13061137","title":"Maximum Profit Configurations of Commercial Engines","display_name":"Maximum Profit Configurations of Commercial Engines","publication_year":2011,"publication_date":"2011-06-07","ids":{"openalex":"https://openalex.org/W2081538664","doi":"https://doi.org/10.3390/e13061137","mag":"2081538664"},"language":"en","primary_location":{"id":"doi:10.3390/e13061137","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13061137","pdf_url":"https://www.mdpi.com/1099-4300/13/6/1137/pdf?version=1424784813","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/13/6/1137/pdf?version=1424784813","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101795688","display_name":"Yiran Chen","orcid":"https://orcid.org/0000-0001-6626-5413"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yiran Chen","raw_affiliation_strings":["Institute for Advanced Study, Wuhan University, Wuhan 430072, China"],"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, Wuhan University, Wuhan 430072, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101795688"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.2446,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.58565604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"13","issue":"6","first_page":"1137","last_page":"1151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11053","display_name":"Process Optimization and Integration","score":0.9581000208854675,"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"}},{"id":"https://openalex.org/T12139","display_name":"Advanced Thermodynamic Systems and Engines","score":0.9222000241279602,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/profit","display_name":"Profit (economics)","score":0.652899980545044},{"id":"https://openalex.org/keywords/commodity","display_name":"Commodity","score":0.6237634420394897},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.58620685338974},{"id":"https://openalex.org/keywords/supply-and-demand","display_name":"Supply and demand","score":0.47940346598625183},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.4300692677497864},{"id":"https://openalex.org/keywords/transfer","display_name":"Transfer (computing)","score":0.4146726727485657},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3704426884651184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3000218868255615},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.16151607036590576}],"concepts":[{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.652899980545044},{"id":"https://openalex.org/C2779439359","wikidata":"https://www.wikidata.org/wiki/Q317088","display_name":"Commodity","level":2,"score":0.6237634420394897},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.58620685338974},{"id":"https://openalex.org/C120330832","wikidata":"https://www.wikidata.org/wiki/Q166656","display_name":"Supply and demand","level":2,"score":0.47940346598625183},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.4300692677497864},{"id":"https://openalex.org/C2776175482","wikidata":"https://www.wikidata.org/wiki/Q1195816","display_name":"Transfer (computing)","level":2,"score":0.4146726727485657},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3704426884651184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3000218868255615},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.16151607036590576},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e13061137","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13061137","pdf_url":"https://www.mdpi.com/1099-4300/13/6/1137/pdf?version=1424784813","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:24a575bd9316429ca71b7936a4485679","is_oa":true,"landing_page_url":"https://doaj.org/article/24a575bd9316429ca71b7936a4485679","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 13, Iss 6, Pp 1137-1151 (2011)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/13/6/1137/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e13061137","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 13; Issue 6; Pages: 1137-1151","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e13061137","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e13061137","pdf_url":"https://www.mdpi.com/1099-4300/13/6/1137/pdf?version=1424784813","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4699999988079071,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2081538664.pdf","grobid_xml":"https://content.openalex.org/works/W2081538664.grobid-xml"},"referenced_works_count":62,"referenced_works":["https://openalex.org/W20566598","https://openalex.org/W50703503","https://openalex.org/W157328382","https://openalex.org/W582279792","https://openalex.org/W1499639531","https://openalex.org/W1544961952","https://openalex.org/W1563230090","https://openalex.org/W1736200405","https://openalex.org/W1766369120","https://openalex.org/W1971950346","https://openalex.org/W1975996398","https://openalex.org/W1977111589","https://openalex.org/W1978061169","https://openalex.org/W1980303162","https://openalex.org/W1991157301","https://openalex.org/W1993526892","https://openalex.org/W1999588689","https://openalex.org/W2001439138","https://openalex.org/W2005486336","https://openalex.org/W2005890664","https://openalex.org/W2006040809","https://openalex.org/W2006358063","https://openalex.org/W2014487184","https://openalex.org/W2015964208","https://openalex.org/W2022688964","https://openalex.org/W2029982845","https://openalex.org/W2034747152","https://openalex.org/W2036949991","https://openalex.org/W2037259168","https://openalex.org/W2038444647","https://openalex.org/W2043839742","https://openalex.org/W2047460357","https://openalex.org/W2050804118","https://openalex.org/W2055221387","https://openalex.org/W2058020634","https://openalex.org/W2071282110","https://openalex.org/W2072517950","https://openalex.org/W2078223313","https://openalex.org/W2079292205","https://openalex.org/W2084255008","https://openalex.org/W2086219944","https://openalex.org/W2086539581","https://openalex.org/W2090044256","https://openalex.org/W2090965450","https://openalex.org/W2110435490","https://openalex.org/W2116588179","https://openalex.org/W2120697454","https://openalex.org/W2146538751","https://openalex.org/W2151616802","https://openalex.org/W2152579873","https://openalex.org/W2152868074","https://openalex.org/W2157197539","https://openalex.org/W2159976373","https://openalex.org/W2478534006","https://openalex.org/W3212076989","https://openalex.org/W4238839450","https://openalex.org/W4253670003","https://openalex.org/W6629803982","https://openalex.org/W6676367989","https://openalex.org/W6682251620","https://openalex.org/W6683253870","https://openalex.org/W6683720375"],"related_works":["https://openalex.org/W2372919335","https://openalex.org/W3200593740","https://openalex.org/W2354030279","https://openalex.org/W3122821197","https://openalex.org/W1989012530","https://openalex.org/W2181358592","https://openalex.org/W2389271083","https://openalex.org/W2387770655","https://openalex.org/W1993869143","https://openalex.org/W2765965066"],"abstract_inverted_index":{"An":[0],"investigation":[1],"of":[2,31,35,49,80,87,94,98,101],"commercial":[3,50],"engines":[4,51],"with":[5],"finite":[6],"capacity":[7],"low-":[8],"and":[9,13,37,76,103],"high-price":[10],"economic":[11],"subsystems":[12],"a":[14],"generalized":[15],"commodity":[16,25,106],"transfer":[17,88],"law":[18],"[n":[19],"\u221d":[20],"\u0394":[21],"(P":[22],"m)]":[23],"in":[24,28,43,92],"flow":[26],"processes,":[27],"which":[29],"effects":[30],"the":[32,66,73,77,84,90,95,99,104,109],"price":[33],"elasticities":[34],"supply":[36],"demand":[38],"are":[39,55],"introduced,":[40],"is":[41],"presented":[42],"this":[44],"paper.":[45],"Optimal":[46],"cycle":[47],"configurations":[48],"for":[52],"maximum":[53],"profit":[54],"obtained":[56],"by":[57,72],"applying":[58],"optimal":[59,110],"control":[60],"theory.":[61],"In":[62],"some":[63],"special":[64],"cases,":[65],"eventual":[67],"state\u2014market":[68],"equilibrium\u2014is":[69],"solely":[70],"determined":[71],"initial":[74],"conditions":[75],"inherent":[78],"characteristics":[79],"two":[81],"subsystems;":[82],"while":[83],"different":[85],"ways":[86],"affect":[89],"model":[91],"respects":[93],"specific":[96],"forms":[97],"paths":[100],"prices":[102],"instantaneous":[105],"flow,":[107],"i.e.,":[108],"configuration.":[111]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}