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Avtomatika i Telemekhanika, 2010, Issue 10, Pages 100–106 (Mi at897)  
This article is cited in 7 scientific papers (total in 7 papers)

Multi-Machine and Multi-Stage Scheduling Environments

An integer-valued model for the problem of minimizing the total servicing time of unit claims with parallel devices with precedences

R. Yu. Simanchev, I. V. Urazova

Omsk State University
Full-text PDF (154 kB) Citations (7)
References:
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Abstract: We describe an integer-valued model of the total service time minimization problem for a partially ordered set of claims with identical servicing times, serviced in parallel by identical devices. We construct a target function over the polyhedron corresponding to the problem. We give results of a numerical experiment that deal with the variance of the total service time and the structure of the schedules' convex hull.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 12.01.2010
English version:
Automation and Remote Control, 2010, Volume 71, Issue 10, Pages 2102–2108
DOI: https://doi.org/10.1134/S0005117910100097
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. Yu. Simanchev, I. V. Urazova, “An integer-valued model for the problem of minimizing the total servicing time of unit claims with parallel devices with precedences”, Avtomat. i Telemekh., 2010, no. 10, 100–106; Autom. Remote Control, 71:10 (2010), 2102–2108
Citation in format AMSBIB
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\jour Avtomat. i Telemekh.
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\jour Autom. Remote Control
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\crossref{https://doi.org/10.1134/S0005117910100097}
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Linking options:
  • https://www.mathnet.ru/eng/at897
  • https://www.mathnet.ru/eng/at/y2010/i10/p100
    • This publication is cited in the following 7 articles:
    1. R. Yu. Simanchev, I. V. Urazova, “Comparison and Polyhedral Properties of Valid Inequalities for a Polytope of Schedules for Servicing Identical Requests”, Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S243–S254  mathnet  crossref  crossref  mathscinet  elib
    2. R. Yu. Simanchev, P. V. Solovieva, I. V. Urazova, “The affine hull of the schedule polytope for servicing identical requests by parallel devices”, J. Appl. Industr. Math., 15:1 (2021), 146–157  mathnet  crossref  crossref
    3. R. Yu. Simanchev, I. V. Urazova, Communications in Computer and Information Science, 1476, Mathematical Optimization Theory and Operations Research: Recent Trends, 2021, 257  crossref
    4. R. Yu. Simanchev, “On facet-inducing inequalities for combinatorial polytopes”, J. Appl. Industr. Math., 11:4 (2017), 564–571  mathnet  crossref  crossref  elib
    5. Ruslan Simanchev, Inna Urazova, Lecture Notes in Computer Science, 9869, Discrete Optimization and Operations Research, 2016, 233  crossref
    6. Urazova I.V., “Klass pravilnykh neravenstv dlya zadachi upakovki vershin atsiklicheskogo orgrafa v polosu zadannoi shiriny”, Vestnik Omskogo universiteta, 2011, no. 2, 44–48  elib
    7. Simanchev R.Yu., Urazova I.V., “Primenenie dikhotomii dlya resheniya zadachi obsluzhivaniya edinichnykh trebovanii parallelnymi priborami”, Vestnik omskogo universiteta, 2011, no. 4, 26–30 The use of dichotomies to solve the problem of individual requirements service by parallel machines  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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