{"id":"https://openalex.org/W7138368545","doi":"https://doi.org/10.3390/systems14030316","title":"Pressure Wave Propagation Optimization Models for Supply Chain Risk Mitigation","display_name":"Pressure Wave Propagation Optimization Models for Supply Chain Risk Mitigation","publication_year":2026,"publication_date":"2026-03-17","ids":{"openalex":"https://openalex.org/W7138368545","doi":"https://doi.org/10.3390/systems14030316"},"language":"en","primary_location":{"id":"doi:10.3390/systems14030316","is_oa":true,"landing_page_url":"https://doi.org/10.3390/systems14030316","pdf_url":"https://www.mdpi.com/2079-8954/14/3/316/pdf","source":{"id":"https://openalex.org/S4210219410","display_name":"Systems","issn_l":"2079-8954","issn":["2079-8954"],"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":"Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-8954/14/3/316/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5129723031","display_name":"Ming Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]},{"id":"https://openalex.org/I4210136431","display_name":"Shanghai Tongji Urban Planning and Design Institute","ror":"https://ror.org/03gb38m78","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210136431"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Liu","raw_affiliation_strings":["Laboratory of High Quality Urban Development and Strategic Decision, Tongji University, Shanghai 200092, China","School of Economics & Management, Tongji University, Shanghai 200092, China"],"raw_orcid":"https://orcid.org/0000-0003-3190-5008","affiliations":[{"raw_affiliation_string":"Laboratory of High Quality Urban Development and Strategic Decision, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780","https://openalex.org/I4210136431"]},{"raw_affiliation_string":"School of Economics & Management, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jiawei Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]},{"id":"https://openalex.org/I4210136431","display_name":"Shanghai Tongji Urban Planning and Design Institute","ror":"https://ror.org/03gb38m78","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210136431"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiawei Zhang","raw_affiliation_strings":["Laboratory of High Quality Urban Development and Strategic Decision, Tongji University, Shanghai 200092, China","School of Economics & Management, Tongji University, Shanghai 200092, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of High Quality Urban Development and Strategic Decision, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780","https://openalex.org/I4210136431"]},{"raw_affiliation_string":"School of Economics & Management, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yueyu Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yueyu Ding","raw_affiliation_strings":["Urban Mobility Institute, Tongji University, Shanghai 201804, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Urban Mobility Institute, Tongji University, Shanghai 201804, China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1600,"currency":"CHF","value_usd":1732},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1732},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.284555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"3","first_page":"316","last_page":"316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11864","display_name":"Supply Chain Resilience and Risk Management","score":0.9761999845504761,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11864","display_name":"Supply Chain Resilience and Risk Management","score":0.9761999845504761,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.0044999998062849045,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11807","display_name":"Infrastructure Resilience and Vulnerability Analysis","score":0.0027000000700354576,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/vulnerability","display_name":"Vulnerability (computing)","score":0.6780999898910522},{"id":"https://openalex.org/keywords/supply-chain","display_name":"Supply chain","score":0.6477000117301941},{"id":"https://openalex.org/keywords/risk-assessment","display_name":"Risk assessment","score":0.4528000056743622},{"id":"https://openalex.org/keywords/supply-chain-risk-management","display_name":"Supply chain risk management","score":0.4413999915122986},{"id":"https://openalex.org/keywords/vulnerability-assessment","display_name":"Vulnerability assessment","score":0.4334999918937683},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.41589999198913574},{"id":"https://openalex.org/keywords/baseline","display_name":"Baseline (sea)","score":0.396699994802475}],"concepts":[{"id":"https://openalex.org/C95713431","wikidata":"https://www.wikidata.org/wiki/Q631425","display_name":"Vulnerability (computing)","level":2,"score":0.6780999898910522},{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.6477000117301941},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5864999890327454},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.5175999999046326},{"id":"https://openalex.org/C12174686","wikidata":"https://www.wikidata.org/wiki/Q1058438","display_name":"Risk assessment","level":2,"score":0.4528000056743622},{"id":"https://openalex.org/C192639820","wikidata":"https://www.wikidata.org/wiki/Q1114469","display_name":"Supply chain risk management","level":5,"score":0.4413999915122986},{"id":"https://openalex.org/C167063184","wikidata":"https://www.wikidata.org/wiki/Q1400839","display_name":"Vulnerability assessment","level":3,"score":0.4334999918937683},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.41589999198913574},{"id":"https://openalex.org/C12725497","wikidata":"https://www.wikidata.org/wiki/Q810247","display_name":"Baseline (sea)","level":2,"score":0.396699994802475},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3917999863624573},{"id":"https://openalex.org/C32896092","wikidata":"https://www.wikidata.org/wiki/Q189447","display_name":"Risk management","level":2,"score":0.387800008058548},{"id":"https://openalex.org/C45237549","wikidata":"https://www.wikidata.org/wiki/Q1376796","display_name":"Restructuring","level":2,"score":0.375900000333786},{"id":"https://openalex.org/C123614077","wikidata":"https://www.wikidata.org/wiki/Q1364905","display_name":"Propagation of uncertainty","level":2,"score":0.374099999666214},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C2781069661","wikidata":"https://www.wikidata.org/wiki/Q7943568","display_name":"Vulnerability index","level":3,"score":0.3546999990940094},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.32670000195503235},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.2775999903678894},{"id":"https://openalex.org/C3019936789","wikidata":"https://www.wikidata.org/wiki/Q79667592","display_name":"Pressure wave","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/systems14030316","is_oa":true,"landing_page_url":"https://doi.org/10.3390/systems14030316","pdf_url":"https://www.mdpi.com/2079-8954/14/3/316/pdf","source":{"id":"https://openalex.org/S4210219410","display_name":"Systems","issn_l":"2079-8954","issn":["2079-8954"],"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":"Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:16dd5500f38d476a8526eb98422c466b","is_oa":true,"landing_page_url":"https://doaj.org/article/16dd5500f38d476a8526eb98422c466b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Systems, Vol 14, Iss 3, p 316 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/systems14030316","is_oa":true,"landing_page_url":"https://doi.org/10.3390/systems14030316","pdf_url":"https://www.mdpi.com/2079-8954/14/3/316/pdf","source":{"id":"https://openalex.org/S4210219410","display_name":"Systems","issn_l":"2079-8954","issn":["2079-8954"],"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":"Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.49031928181648254,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G1708315203","display_name":"\u5206\u4eab\u7ecf\u6d4e\u73af\u5883\u4e0b\u4f01\u4e1a\u8fd0\u8425\u4e0e\u8d44\u6e90\u914d\u7f6e\u7406\u8bba\u7814\u7a76","funder_award_id":"71832001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1821643505","display_name":null,"funder_award_id":"72021002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2150154707","display_name":"\u4e2a\u6027\u5316\u5b9a\u5236\u4e0b\u8003\u8651\u591a\u4efb\u52a1\u5e76\u884c\u52a0\u5de5\u901f\u7387\u7684\u53cc\u5c42\u5e73\u884c\u673a\u7cfb\u7edf\u8c03\u5ea6\u4f18\u5316\u7814\u7a76","funder_award_id":"71771048","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G410739489","display_name":"\u8003\u8651\u4eba\u5458\u6280\u80fd\u5339\u914d\u7684\u591a\u8d44\u6e90\u6df7\u5408\u751f\u4ea7\u8c03\u5ea6\u4f18\u5316\u7814\u7a76","funder_award_id":"72071144","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4297801407","display_name":null,"funder_award_id":"72471174","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7138368545.pdf","grobid_xml":"https://content.openalex.org/works/W7138368545.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1965833705","https://openalex.org/W1972113763","https://openalex.org/W1998448999","https://openalex.org/W2054044311","https://openalex.org/W2070722739","https://openalex.org/W2088594440","https://openalex.org/W2123130943","https://openalex.org/W2141640932","https://openalex.org/W2297668632","https://openalex.org/W2437789530","https://openalex.org/W2615397074","https://openalex.org/W2755091711","https://openalex.org/W2765887738","https://openalex.org/W2802200907","https://openalex.org/W2802642817","https://openalex.org/W2922285790","https://openalex.org/W2951482145","https://openalex.org/W2972518961","https://openalex.org/W3011896875","https://openalex.org/W3015960835","https://openalex.org/W3026347338","https://openalex.org/W3084452272","https://openalex.org/W3091840902","https://openalex.org/W3096622396","https://openalex.org/W3105109140","https://openalex.org/W3118520010","https://openalex.org/W3123501020","https://openalex.org/W3123792077","https://openalex.org/W3145558565","https://openalex.org/W3151414449","https://openalex.org/W3166815175","https://openalex.org/W3211943881","https://openalex.org/W4253465475","https://openalex.org/W4280517184","https://openalex.org/W4309335173","https://openalex.org/W4310388076","https://openalex.org/W4312314850","https://openalex.org/W4386215940","https://openalex.org/W4386319113","https://openalex.org/W4387026871","https://openalex.org/W4390675566","https://openalex.org/W4393321636","https://openalex.org/W4396591118","https://openalex.org/W4405093161","https://openalex.org/W4406506264","https://openalex.org/W4412069857","https://openalex.org/W4412704143","https://openalex.org/W4416583030","https://openalex.org/W7125633276"],"related_works":[],"abstract_inverted_index":{"Supply":[0],"chain":[1,41,85],"(SC)":[2],"disruption":[3,24,80,103,145],"risk":[4,55,121,141],"assessment":[5,45],"and":[6,15,51,100,127,147],"mitigation":[7,56,122],"have":[8],"attracted":[9],"significant":[10],"attention":[11],"in":[12,38,82,119,139],"both":[13],"academia":[14],"practice.":[16],"However,":[17],"existing":[18],"research":[19],"predominantly":[20],"focuses":[21],"on":[22,49],"unidirectional":[23],"propagation,":[25],"either":[26],"forward":[27],"or":[28],"backward,":[29],"despite":[30],"the":[31,133,136,161],"reality":[32],"that":[33,95,116,157],"risks":[34],"can":[35],"propagate":[36],"bi-directionally":[37],"complex":[39],"supply":[40,84],"networks.":[42],"Furthermore,":[43],"conventional":[44],"tools":[46],"often":[47],"concentrate":[48],"conceptualizing":[50],"quantifying":[52],"risks,":[53,146],"while":[54],"requires":[57],"mathematical":[58,110],"optimization":[59,176],"approaches.":[60],"To":[61],"bridge":[62],"these":[63],"gaps,":[64],"this":[65],"paper":[66],"proposes":[67],"a":[68,114],"novel":[69],"pressure":[70,93],"wave-based":[71],"approach":[72,159],"inspired":[73],"by":[74,167],"fluid":[75],"mechanics":[76],"to":[77,169,172],"assess":[78],"bi-directional":[79],"propagation":[81],"cluster":[83],"networks":[86],"(CSCNs).":[87],"The":[88,154],"method":[89,138],"conceptualizes":[90],"disruptions":[91],"as":[92],"signals":[94],"transmit":[96],"between":[97],"SC":[98,152],"partners":[99],"explicitly":[101],"quantifies":[102],"severity":[104],"through":[105],"wave":[106],"intensity.":[107],"By":[108],"employing":[109],"optimization,":[111],"we":[112],"develop":[113],"framework":[115],"assists":[117],"managers":[118],"optimizing":[120],"strategies,":[123],"including":[124],"inventory":[125],"buffering":[126],"cross-chain":[128],"cooperation.":[129],"Numerical":[130],"experiments":[131],"demonstrate":[132],"effectiveness":[134],"of":[135,151],"proposed":[137],"explaining":[140],"influencing":[142],"factors,":[143],"mitigating":[144],"achieving":[148],"dynamic":[149],"restructuring":[150],"structures.":[153],"results":[155],"show":[156],"our":[158],"reduces":[160],"Cluster":[162],"Propagation":[163],"Vulnerability":[164],"Index":[165],"(CPVI)":[166],"up":[168],"40%":[170],"compared":[171],"baseline":[173],"models":[174],"without":[175],"decisions.":[177]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2026-03-18T00:00:00"}
