{"id":"https://openalex.org/W1979412081","doi":"https://doi.org/10.1137/0214032","title":"A Stochastic Model of Fragmentation in Dynamic Storage Allocation","display_name":"A Stochastic Model of Fragmentation in Dynamic Storage Allocation","publication_year":1985,"publication_date":"1985-05-01","ids":{"openalex":"https://openalex.org/W1979412081","doi":"https://doi.org/10.1137/0214032","mag":"1979412081"},"language":"en","primary_location":{"id":"doi:10.1137/0214032","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0214032","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repository.upenn.edu/bitstreams/f8dfc262-5d4a-46b9-9cec-93e5124023ce/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034122892","display_name":"E. G. Coffman","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"E. G. Coffman, Jr.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034063717","display_name":"T. Kadota","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. T. Kadota","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5033126056","display_name":"L. A. Shepp","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L. A. Shepp","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034122892"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2174,"has_fulltext":true,"cited_by_count":50,"citation_normalized_percentile":{"value":0.91203551,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"2","first_page":"416","last_page":"425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9961000084877014,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/poisson-distribution","display_name":"Poisson distribution","score":0.7249212265014648},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5332446098327637},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.5301880240440369},{"id":"https://openalex.org/keywords/fragmentation","display_name":"Fragmentation (computing)","score":0.482313871383667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47798436880111694},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.4560319483280182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30106255412101746},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26314058899879456},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15411126613616943},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09663939476013184}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7249212265014648},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5332446098327637},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5301880240440369},{"id":"https://openalex.org/C191015642","wikidata":"https://www.wikidata.org/wiki/Q1132459","display_name":"Fragmentation (computing)","level":2,"score":0.482313871383667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47798436880111694},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.4560319483280182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30106255412101746},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26314058899879456},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15411126613616943},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09663939476013184},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/0214032","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0214032","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:repository.upenn.edu:statistics_papers-1192","is_oa":true,"landing_page_url":"https://repository.upenn.edu/statistics_papers/408","pdf_url":"https://repository.upenn.edu/bitstreams/f8dfc262-5d4a-46b9-9cec-93e5124023ce/download","source":{"id":"https://openalex.org/S4306402083","display_name":"ScholarlyCommons (University of Pennsylvania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79576946","host_organization_name":"University of Pennsylvania","host_organization_lineage":["https://openalex.org/I79576946"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Statistics Papers","raw_type":"text"},{"id":"pmh:oai:repository.upenn.edu:20.500.14332/47791","is_oa":false,"landing_page_url":"https://repository.upenn.edu/handle/20.500.14332/47791","pdf_url":null,"source":{"id":"https://openalex.org/S4377196331","display_name":"Scholarly Commons (University of Pennsylvania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79576946","host_organization_name":"University of Pennsylvania","host_organization_lineage":["https://openalex.org/I79576946"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"14","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:repository.upenn.edu:statistics_papers-1192","is_oa":true,"landing_page_url":"https://repository.upenn.edu/statistics_papers/408","pdf_url":"https://repository.upenn.edu/bitstreams/f8dfc262-5d4a-46b9-9cec-93e5124023ce/download","source":{"id":"https://openalex.org/S4306402083","display_name":"ScholarlyCommons (University of Pennsylvania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79576946","host_organization_name":"University of Pennsylvania","host_organization_lineage":["https://openalex.org/I79576946"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Statistics Papers","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1979412081.pdf","grobid_xml":"https://content.openalex.org/works/W1979412081.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W193706516","https://openalex.org/W1985914682","https://openalex.org/W4213265037"],"related_works":["https://openalex.org/W2951695430","https://openalex.org/W4300891849","https://openalex.org/W2318687609","https://openalex.org/W91590591","https://openalex.org/W159772521","https://openalex.org/W2950100995","https://openalex.org/W3170064006","https://openalex.org/W2281582664","https://openalex.org/W2003447514","https://openalex.org/W2187367931"],"abstract_inverted_index":{"We":[0,133],"study":[1],"a":[2,18,35,77,225],"model":[3,200,220,228],"of":[4,14,38,66,82,89,102,117,142,183,196,204,229],"dynamic":[5],"storage":[6,216],"allocation":[7],"in":[8,17,34,92,186,206,214],"which":[9,58],"requests":[10],"for":[11,138,176],"single":[12],"units":[13],"memory":[15],"arrive":[16],"Poisson":[19,125],"stream":[20],"at":[21,73],"rate":[22,53],"$\\lambda":[23],"$":[24,81,179],"and":[25,99,149,210],"are":[26],"accommodated":[27],"by":[28,70,106,150],"the":[29,59,90,96,115,139,145,164,180,193],"first":[30],"available":[31],"location":[32,47,60],"found":[33],"linear":[36],"scan":[37],"memory.":[39],"Immediately":[40],"after":[41,57],"this":[42],"first-fit":[43],"assignment,":[44],"an":[45,49,135],"occupied":[46,67,100,118,147,197],"commences":[48],"exponential":[50],"delay":[51],"with":[52,127],"parameter":[54],"$\\mu":[55],"$,":[56,94],"again":[61],"becomes":[62],"available.":[63],"The":[64,87],"set":[65],"locations":[68,185],"(identified":[69],"their":[71],"numbers)":[72],"time":[74],"t":[75],"forms":[76],"random":[78],"subset":[79],"$S_t":[80,93],"$\\{":[83],"1,2,":[84],"\\cdots":[85],"\\}$.":[86],"extent":[88],"fragmentation":[91,205],"i.e.":[95],"alternating":[97],"holes":[98],"regions":[101],"memory,":[103],"is":[104,121,188],"measured":[105],"$\\max":[107],"(S_t":[108],")":[109],"-":[110,158],"|S_t":[111],"|$.":[112],"In":[113],"equilibrium,":[114],"number":[116,182,195],"locations,":[119],"$|S|$,":[120],"known":[122],"to":[123,202,211],"be":[124,222],"distributed":[126],"mean":[128],"$\\rho":[129,167,178],"=":[130],"\\lambda/":[131],"\\mu$.":[132],"obtain":[134],"explicit":[136],"formula":[137],"stationary":[140],"distribution":[141],"max":[143],"$(S)$,":[144],"last":[146],"location,":[148],"independent":[151],"arguments":[152],"we":[153,172],"show":[154],"that":[155,175],"$(E\\max":[156],"(S)":[157],"E|S|)":[159],"/E|S|":[160],"\\to":[161,168],"0$":[162],"as":[163,224],"traffic":[165],"intensity":[166],"\\infty":[169],"$.":[170],"Moreover,":[171],"verify":[173],"numerically":[174],"any":[177],"expected":[181,194],"wasted":[184],"equilibrium":[187],"never":[189],"more":[190],"than":[191],"$\\frac{1}{3}$":[192],"locations.":[198],"Our":[199],"applies":[201],"studies":[203],"paged":[207],"computer":[208],"systems,":[209],"containerization":[212],"problems":[213],"industrial":[215],"applications.":[217],"Finally,":[218],"our":[219],"can":[221],"regarded":[223],"simple":[226],"concrete":[227],"interacting":[230],"particles":[231],"[Adv.":[232],"Math.,":[233],"5":[234],"(1970),":[235],"pp.":[236],"246\u2013290].":[237]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}