Perturbation bounds and truncations for a class of Markovian queues View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2014-02

AUTHORS

Alexander Zeifman, Victor Korolev, Yacov Satin, Anna Korotysheva, Vladimir Bening

ABSTRACT

We consider time-inhomogeneous Markovian queueing models with batch arrivals and group services. We study the mathematical expectation of the respective queue-length process and obtain the bounds on the rate of convergence and error of truncation of the process. Specific queueing models are shown as examples.

PAGES

205-221

References to SciGraph publications

  • 1991-12. Qualitative properties of inhomogeneous birth and death processes in JOURNAL OF SOVIET MATHEMATICS
  • 1998-09. Stability of birth-and-death processes in JOURNAL OF MATHEMATICAL SCIENCES
  • 1985. Stability for continuous-time nonhomogeneous Markov chains in STABILITY PROBLEMS FOR STOCHASTIC MODELS
  • 2004-03. Nonstationary Queues: Estimation of the Rate of Convergence in QUEUEING SYSTEMS
  • 2013. On a Queueing Model with Group Services in MODERN PROBABILISTIC METHODS FOR ANALYSIS OF TELECOMMUNICATION NETWORKS
  • 2009-12. On the nonstationary Erlang loss model in AUTOMATION AND REMOTE CONTROL
  • 2006-02. Some universal limits for nonhomogeneous birth and death processes in QUEUEING SYSTEMS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11134-013-9388-0

    DOI

    http://dx.doi.org/10.1007/s11134-013-9388-0

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1001148274


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0104", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Statistics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Institute of Socio-Economic Development of Territories", 
              "id": "https://www.grid.ac/institutes/grid.465363.1", 
              "name": [
                "Vologda State University, Vologda, Russia", 
                "Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia", 
                "Institute of Socio-Economic Development of Territories, Russian Academy of Sciences, Vologda, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Zeifman", 
            "givenName": "Alexander", 
            "id": "sg:person.016403133727.49", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016403133727.49"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Moscow State University", 
              "id": "https://www.grid.ac/institutes/grid.14476.30", 
              "name": [
                "Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia", 
                "Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Korolev", 
            "givenName": "Victor", 
            "id": "sg:person.014166423003.73", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014166423003.73"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Vologda State Technical University", 
              "id": "https://www.grid.ac/institutes/grid.445065.6", 
              "name": [
                "Vologda State University, Vologda, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Satin", 
            "givenName": "Yacov", 
            "id": "sg:person.016325405221.68", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016325405221.68"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Vologda State Technical University", 
              "id": "https://www.grid.ac/institutes/grid.445065.6", 
              "name": [
                "Vologda State University, Vologda, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Korotysheva", 
            "givenName": "Anna", 
            "id": "sg:person.014735345725.28", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014735345725.28"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Moscow State University", 
              "id": "https://www.grid.ac/institutes/grid.14476.30", 
              "name": [
                "Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia", 
                "Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Bening", 
            "givenName": "Vladimir", 
            "id": "sg:person.014065234443.39", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014065234443.39"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/s11134-006-4353-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005329178", 
              "https://doi.org/10.1007/s11134-006-4353-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11134-006-4353-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005329178", 
              "https://doi.org/10.1007/s11134-006-4353-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/03461238.2010.485370", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007617982"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02432876", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013243703", 
              "https://doi.org/10.1007/bf02432876"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02432876", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013243703", 
              "https://doi.org/10.1007/bf02432876"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/15326349.2011.614900", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025060535"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0304-4149(95)00028-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029653681"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bfb0074830", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041249415", 
              "https://doi.org/10.1007/bfb0074830"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/b:ques.0000027991.19758.b4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041771067", 
              "https://doi.org/10.1023/b:ques.0000027991.19758.b4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s000511790912008x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044490835", 
              "https://doi.org/10.1134/s000511790912008x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1134/s000511790912008x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044490835", 
              "https://doi.org/10.1134/s000511790912008x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01099019", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045642135", 
              "https://doi.org/10.1007/bf01099019"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01099019", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045642135", 
              "https://doi.org/10.1007/bf01099019"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-35980-4_22", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049413063", 
              "https://doi.org/10.1007/978-3-642-35980-4_22"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1137/s0040585x97984097", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062878816"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1137/s0040585x97986151", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062879022"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1239/jap/1067436094", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064441796"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/1427522", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069490486"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/3214865", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070229010"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/3215117", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070229247"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2014-02", 
        "datePublishedReg": "2014-02-01", 
        "description": "We consider time-inhomogeneous Markovian queueing models with batch arrivals and group services. We study the mathematical expectation of the respective queue-length process and obtain the bounds on the rate of convergence and error of truncation of the process. Specific queueing models are shown as examples.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s11134-013-9388-0", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isFundedItemOf": [
          {
            "id": "sg:grant.5339128", 
            "type": "MonetaryGrant"
          }, 
          {
            "id": "sg:grant.5343314", 
            "type": "MonetaryGrant"
          }, 
          {
            "id": "sg:grant.7596246", 
            "type": "MonetaryGrant"
          }, 
          {
            "id": "sg:grant.6752891", 
            "type": "MonetaryGrant"
          }, 
          {
            "id": "sg:grant.6758647", 
            "type": "MonetaryGrant"
          }, 
          {
            "id": "sg:grant.6755888", 
            "type": "MonetaryGrant"
          }
        ], 
        "isPartOf": [
          {
            "id": "sg:journal.1048269", 
            "issn": [
              "0257-0130", 
              "1572-9443"
            ], 
            "name": "Queueing Systems", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "76"
          }
        ], 
        "name": "Perturbation bounds and truncations for a class of Markovian queues", 
        "pagination": "205-221", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "057865c9516852f314a0c1109d18b5c1f1111216705dae212461baa2a7df9271"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s11134-013-9388-0"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1001148274"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s11134-013-9388-0", 
          "https://app.dimensions.ai/details/publication/pub.1001148274"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T13:21", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8659_00000529.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007%2Fs11134-013-9388-0"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s11134-013-9388-0'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s11134-013-9388-0'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11134-013-9388-0'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11134-013-9388-0'


     

    This table displays all metadata directly associated to this object as RDF triples.

    165 TRIPLES      21 PREDICATES      43 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s11134-013-9388-0 schema:about anzsrc-for:01
    2 anzsrc-for:0104
    3 schema:author N2dfe22bcc9fd46889f256fdd72c26b15
    4 schema:citation sg:pub.10.1007/978-3-642-35980-4_22
    5 sg:pub.10.1007/bf01099019
    6 sg:pub.10.1007/bf02432876
    7 sg:pub.10.1007/bfb0074830
    8 sg:pub.10.1007/s11134-006-4353-9
    9 sg:pub.10.1023/b:ques.0000027991.19758.b4
    10 sg:pub.10.1134/s000511790912008x
    11 https://doi.org/10.1016/0304-4149(95)00028-6
    12 https://doi.org/10.1080/03461238.2010.485370
    13 https://doi.org/10.1080/15326349.2011.614900
    14 https://doi.org/10.1137/s0040585x97984097
    15 https://doi.org/10.1137/s0040585x97986151
    16 https://doi.org/10.1239/jap/1067436094
    17 https://doi.org/10.2307/1427522
    18 https://doi.org/10.2307/3214865
    19 https://doi.org/10.2307/3215117
    20 schema:datePublished 2014-02
    21 schema:datePublishedReg 2014-02-01
    22 schema:description We consider time-inhomogeneous Markovian queueing models with batch arrivals and group services. We study the mathematical expectation of the respective queue-length process and obtain the bounds on the rate of convergence and error of truncation of the process. Specific queueing models are shown as examples.
    23 schema:genre research_article
    24 schema:inLanguage en
    25 schema:isAccessibleForFree false
    26 schema:isPartOf N6433d08fe7a34c8fbce47f3abecb9206
    27 Nd72057225208462ba3b221226528b864
    28 sg:journal.1048269
    29 schema:name Perturbation bounds and truncations for a class of Markovian queues
    30 schema:pagination 205-221
    31 schema:productId N6dee789e3cc84db381c6da7e9ea9413f
    32 N7636168edc4045068cdd3ec85155bf56
    33 N857bf79f62ba432583c8b258a58a415a
    34 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001148274
    35 https://doi.org/10.1007/s11134-013-9388-0
    36 schema:sdDatePublished 2019-04-10T13:21
    37 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    38 schema:sdPublisher N0a769237d63143abadd46014802b0993
    39 schema:url http://link.springer.com/10.1007%2Fs11134-013-9388-0
    40 sgo:license sg:explorer/license/
    41 sgo:sdDataset articles
    42 rdf:type schema:ScholarlyArticle
    43 N0a769237d63143abadd46014802b0993 schema:name Springer Nature - SN SciGraph project
    44 rdf:type schema:Organization
    45 N2dfe22bcc9fd46889f256fdd72c26b15 rdf:first sg:person.016403133727.49
    46 rdf:rest N836dabe6ef3842c48cc1b47722e31aea
    47 N6433d08fe7a34c8fbce47f3abecb9206 schema:volumeNumber 76
    48 rdf:type schema:PublicationVolume
    49 N6dee789e3cc84db381c6da7e9ea9413f schema:name dimensions_id
    50 schema:value pub.1001148274
    51 rdf:type schema:PropertyValue
    52 N7636168edc4045068cdd3ec85155bf56 schema:name doi
    53 schema:value 10.1007/s11134-013-9388-0
    54 rdf:type schema:PropertyValue
    55 N836dabe6ef3842c48cc1b47722e31aea rdf:first sg:person.014166423003.73
    56 rdf:rest Nf04e7342bb894bcfa8924917a743e54c
    57 N857bf79f62ba432583c8b258a58a415a schema:name readcube_id
    58 schema:value 057865c9516852f314a0c1109d18b5c1f1111216705dae212461baa2a7df9271
    59 rdf:type schema:PropertyValue
    60 N87c12d9487344aaeaeb8dad142f27a06 rdf:first sg:person.014065234443.39
    61 rdf:rest rdf:nil
    62 Na45437bfe7f044c0a549de6a4bcf0262 rdf:first sg:person.014735345725.28
    63 rdf:rest N87c12d9487344aaeaeb8dad142f27a06
    64 Nd72057225208462ba3b221226528b864 schema:issueNumber 2
    65 rdf:type schema:PublicationIssue
    66 Nf04e7342bb894bcfa8924917a743e54c rdf:first sg:person.016325405221.68
    67 rdf:rest Na45437bfe7f044c0a549de6a4bcf0262
    68 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    69 schema:name Mathematical Sciences
    70 rdf:type schema:DefinedTerm
    71 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
    72 schema:name Statistics
    73 rdf:type schema:DefinedTerm
    74 sg:grant.5339128 http://pending.schema.org/fundedItem sg:pub.10.1007/s11134-013-9388-0
    75 rdf:type schema:MonetaryGrant
    76 sg:grant.5343314 http://pending.schema.org/fundedItem sg:pub.10.1007/s11134-013-9388-0
    77 rdf:type schema:MonetaryGrant
    78 sg:grant.6752891 http://pending.schema.org/fundedItem sg:pub.10.1007/s11134-013-9388-0
    79 rdf:type schema:MonetaryGrant
    80 sg:grant.6755888 http://pending.schema.org/fundedItem sg:pub.10.1007/s11134-013-9388-0
    81 rdf:type schema:MonetaryGrant
    82 sg:grant.6758647 http://pending.schema.org/fundedItem sg:pub.10.1007/s11134-013-9388-0
    83 rdf:type schema:MonetaryGrant
    84 sg:grant.7596246 http://pending.schema.org/fundedItem sg:pub.10.1007/s11134-013-9388-0
    85 rdf:type schema:MonetaryGrant
    86 sg:journal.1048269 schema:issn 0257-0130
    87 1572-9443
    88 schema:name Queueing Systems
    89 rdf:type schema:Periodical
    90 sg:person.014065234443.39 schema:affiliation https://www.grid.ac/institutes/grid.14476.30
    91 schema:familyName Bening
    92 schema:givenName Vladimir
    93 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014065234443.39
    94 rdf:type schema:Person
    95 sg:person.014166423003.73 schema:affiliation https://www.grid.ac/institutes/grid.14476.30
    96 schema:familyName Korolev
    97 schema:givenName Victor
    98 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014166423003.73
    99 rdf:type schema:Person
    100 sg:person.014735345725.28 schema:affiliation https://www.grid.ac/institutes/grid.445065.6
    101 schema:familyName Korotysheva
    102 schema:givenName Anna
    103 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014735345725.28
    104 rdf:type schema:Person
    105 sg:person.016325405221.68 schema:affiliation https://www.grid.ac/institutes/grid.445065.6
    106 schema:familyName Satin
    107 schema:givenName Yacov
    108 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016325405221.68
    109 rdf:type schema:Person
    110 sg:person.016403133727.49 schema:affiliation https://www.grid.ac/institutes/grid.465363.1
    111 schema:familyName Zeifman
    112 schema:givenName Alexander
    113 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016403133727.49
    114 rdf:type schema:Person
    115 sg:pub.10.1007/978-3-642-35980-4_22 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049413063
    116 https://doi.org/10.1007/978-3-642-35980-4_22
    117 rdf:type schema:CreativeWork
    118 sg:pub.10.1007/bf01099019 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045642135
    119 https://doi.org/10.1007/bf01099019
    120 rdf:type schema:CreativeWork
    121 sg:pub.10.1007/bf02432876 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013243703
    122 https://doi.org/10.1007/bf02432876
    123 rdf:type schema:CreativeWork
    124 sg:pub.10.1007/bfb0074830 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041249415
    125 https://doi.org/10.1007/bfb0074830
    126 rdf:type schema:CreativeWork
    127 sg:pub.10.1007/s11134-006-4353-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005329178
    128 https://doi.org/10.1007/s11134-006-4353-9
    129 rdf:type schema:CreativeWork
    130 sg:pub.10.1023/b:ques.0000027991.19758.b4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041771067
    131 https://doi.org/10.1023/b:ques.0000027991.19758.b4
    132 rdf:type schema:CreativeWork
    133 sg:pub.10.1134/s000511790912008x schema:sameAs https://app.dimensions.ai/details/publication/pub.1044490835
    134 https://doi.org/10.1134/s000511790912008x
    135 rdf:type schema:CreativeWork
    136 https://doi.org/10.1016/0304-4149(95)00028-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029653681
    137 rdf:type schema:CreativeWork
    138 https://doi.org/10.1080/03461238.2010.485370 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007617982
    139 rdf:type schema:CreativeWork
    140 https://doi.org/10.1080/15326349.2011.614900 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025060535
    141 rdf:type schema:CreativeWork
    142 https://doi.org/10.1137/s0040585x97984097 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062878816
    143 rdf:type schema:CreativeWork
    144 https://doi.org/10.1137/s0040585x97986151 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062879022
    145 rdf:type schema:CreativeWork
    146 https://doi.org/10.1239/jap/1067436094 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064441796
    147 rdf:type schema:CreativeWork
    148 https://doi.org/10.2307/1427522 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069490486
    149 rdf:type schema:CreativeWork
    150 https://doi.org/10.2307/3214865 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070229010
    151 rdf:type schema:CreativeWork
    152 https://doi.org/10.2307/3215117 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070229247
    153 rdf:type schema:CreativeWork
    154 https://www.grid.ac/institutes/grid.14476.30 schema:alternateName Moscow State University
    155 schema:name Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia
    156 Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia
    157 rdf:type schema:Organization
    158 https://www.grid.ac/institutes/grid.445065.6 schema:alternateName Vologda State Technical University
    159 schema:name Vologda State University, Vologda, Russia
    160 rdf:type schema:Organization
    161 https://www.grid.ac/institutes/grid.465363.1 schema:alternateName Institute of Socio-Economic Development of Territories
    162 schema:name Institute of Informatics Problems, Russian Academy of Sciences, Moscow, Russia
    163 Institute of Socio-Economic Development of Territories, Russian Academy of Sciences, Vologda, Russia
    164 Vologda State University, Vologda, Russia
    165 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...