{"id":"https://openalex.org/W2564106983","doi":"https://doi.org/10.1504/ijpmb.2017.083104","title":"Solid transportation problem with budget constraints under interval uncertain environments","display_name":"Solid transportation problem with budget constraints under interval uncertain environments","publication_year":2016,"publication_date":"2016-12-21","ids":{"openalex":"https://openalex.org/W2564106983","doi":"https://doi.org/10.1504/ijpmb.2017.083104","mag":"2564106983"},"language":"en","primary_location":{"id":"doi:10.1504/ijpmb.2017.083104","doi":"https://doi.org/10.1504/ijpmb.2017.083104","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijpmb.2017.083104","pdf_url":null,"source":{"id":"https://openalex.org/S177205937","display_name":"International Journal of Process Management and Benchmarking","issn_l":"1460-6739","issn":["1460-6739","1741-816X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-2"],"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 Process Management and Benchmarking","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5036093048","display_name":"Ajay Kumar Bhurjee","orcid":"https://orcid.org/0000-0001-7485-3653","observed_orcids":["https://orcid.org/0000-0001-7485-3653"]},"institutions":[{"id":"https://openalex.org/I185065464","display_name":"Veer Surendra Sai University of Technology","ror":"https://ror.org/02yghbg68","country_code":"IN","type":"education","lineage":["https://openalex.org/I185065464"]},{"id":"https://openalex.org/I4210098947","display_name":"National Institute of Science and Technology","ror":"https://ror.org/01150px97","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210098947"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ajay Kumar Bhurjee","raw_affiliation_strings":["Department of Mathematics, National Institute of Science and Technology, Palur Hills, Berhampur-761008, India","Department of Mathematics, Veer Surendra Sai University of Technology, Burla-768018, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Science and Technology, Palur Hills, Berhampur-761008, India","institution_ids":["https://openalex.org/I4210098947"]},{"raw_affiliation_string":"Department of Mathematics, Veer Surendra Sai University of Technology, Burla-768018, India","institution_ids":["https://openalex.org/I185065464"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036093048","display_name":"Ajay Kumar Bhurjee","orcid":"https://orcid.org/0000-0001-7485-3653","observed_orcids":["https://orcid.org/0000-0001-7485-3653"]},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]},{"id":"https://openalex.org/I4210098947","display_name":"National Institute of Science and Technology","ror":"https://ror.org/01150px97","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210098947"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pankaj Kumar","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, India","Department of Mathematics, National Institute of Science and Technology, Palur Hills, Berhampur-761008, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, India","institution_ids":["https://openalex.org/I145894827"]},{"raw_affiliation_string":"Department of Mathematics, National Institute of Science and Technology, Palur Hills, Berhampur-761008, India","institution_ids":["https://openalex.org/I4210098947"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079478367","display_name":"Pankaj Kumar","orcid":"https://orcid.org/0000-0002-7035-3245","observed_orcids":["https://orcid.org/0000-0002-7035-3245","https://orcid.org/0000-0001-5575-2507"]},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]},{"id":"https://openalex.org/I185065464","display_name":"Veer Surendra Sai University of Technology","ror":"https://ror.org/02yghbg68","country_code":"IN","type":"education","lineage":["https://openalex.org/I185065464"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Saroj Kumar Padhan","raw_affiliation_strings":["Department of Mathematics, Veer Surendra Sai University of Technology, Burla-768018, India","Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Veer Surendra Sai University of Technology, Burla-768018, India","institution_ids":["https://openalex.org/I185065464"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, India","institution_ids":["https://openalex.org/I145894827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2803,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.59826775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"7","issue":"2","first_page":"172","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/solid-transportation-problem","display_name":"solid transportation problem","score":1.0},{"id":"https://openalex.org/keywords/interval-linear-programming","display_name":"interval linear programming","score":0.8339999914169312},{"id":"https://openalex.org/keywords/budget-constraints","display_name":"budget constraints","score":0.9810000061988831},{"id":"https://openalex.org/keywords/interval-uncertainty","display_name":"interval uncertainty","score":0.5920000076293945},{"id":"https://openalex.org/keywords/closed-intervals","display_name":"closed intervals","score":0.6970000267028809},{"id":"https://openalex.org/keywords/deterministic-linear-programming","display_name":"deterministic linear programming","score":0.6930000185966492},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.8349999785423279},{"id":"https://openalex.org/keywords/transportation-costs","display_name":"transportation costs","score":0.5799999833106995},{"id":"https://openalex.org/keywords/conveyance-capacity","display_name":"conveyance capacity","score":0.972000002861023}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.8073430061340332},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7295817136764526},{"id":"https://openalex.org/C31829261","wikidata":"https://www.wikidata.org/wiki/Q1929885","display_name":"Transportation theory","level":2,"score":0.6670570373535156},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6516945362091064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48431697487831116},{"id":"https://openalex.org/C8505890","wikidata":"https://www.wikidata.org/wiki/Q605095","display_name":"Budget constraint","level":2,"score":0.461967408657074},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4340037405490875},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.37695547938346863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3588849902153015},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1173466145992279},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C133425853","wikidata":"https://www.wikidata.org/wiki/Q60571","display_name":"Neoclassical economics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1504/ijpmb.2017.083104","doi":"https://doi.org/10.1504/ijpmb.2017.083104","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijpmb.2017.083104","pdf_url":null,"source":{"id":"https://openalex.org/S177205937","display_name":"International Journal of Process Management and Benchmarking","issn_l":"1460-6739","issn":["1460-6739","1741-816X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-2"],"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 Process Management and Benchmarking","raw_type":"journal-article"},{"id":"doi:10.1504/ijpmb.2017.10002167","doi":"https://doi.org/10.1504/ijpmb.2017.10002167","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijpmb.2017.10002167","pdf_url":null,"source":{"id":"https://openalex.org/S177205937","display_name":"International Journal of Process Management and Benchmarking","issn_l":"1460-6739","issn":["1460-6739","1741-816X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-2"],"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 Process Management and Benchmarking","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:ids:ijpmbe:v:7:y:2017:i:2:p:172-182","doi":null,"is_oa":false,"landing_page_url":"http://www.inderscience.com/link.php?id=83104","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.8970999717712402,"id":"https://metadata.un.org/sdg/9"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2118538689","https://openalex.org/W4308198968","https://openalex.org/W7097324812","https://openalex.org/W4398253744","https://openalex.org/W1992089421","https://openalex.org/W2368190481","https://openalex.org/W2392203120","https://openalex.org/W3207254789","https://openalex.org/W2990066911","https://openalex.org/W2045029812"],"abstract_inverted_index":{"A":[0],"solid":[1,70],"transportation":[2,16,71],"problem":[3,32,40],"is":[4,33,60,75],"formulated":[5],"in":[6,68],"the":[7,48,51,64,79,82],"form":[8],"of":[9,53,66,81],"an":[10],"interval":[11,69],"linear":[12,38],"programming":[13,39],"problem,":[14],"where":[15],"cost,":[17],"availability,":[18],"requirement,":[19],"conveyance":[20],"capacity":[21],"and":[22,46],"budget":[23],"for":[24],"destinations":[25],"are":[26],"represented":[27],"as":[28],"closed":[29],"intervals.":[30],"This":[31],"converted":[34],"into":[35],"a":[36,57],"deterministic":[37],"using":[41],"some":[42],"positive":[43],"weight":[44],"functions":[45],"establishes":[47],"relation":[49],"between":[50],"solutions":[52,67],"both":[54],"problems.":[55,72],"Further,":[56],"novel":[58],"methodology":[59],"developed":[61],"to":[62,77],"study":[63],"existence":[65],"Numerical":[73],"example":[74],"illustrated":[76],"justify":[78],"efficiency":[80],"proposed":[83],"method.":[84]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2017-01-06T00:00:00"}