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Steiner Tree Problem in Graphs and Mixed Integer Linear Programming-Based Approach in GAMS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU146097" target="_blank" >RIV/00216305:26210/22:PU146097 - isvavai.cz</a>

  • Result on the web

    <a href="https://wseas.com/journals/computers/2022/a625105-028(2022).pdf" target="_blank" >https://wseas.com/journals/computers/2022/a625105-028(2022).pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.37394/23205.2022.21.31" target="_blank" >10.37394/23205.2022.21.31</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Steiner Tree Problem in Graphs and Mixed Integer Linear Programming-Based Approach in GAMS

  • Original language description

    The Steiner tree problem in graphs involves finding a minimum cost tree which connects a defined subset of the vertices. This problem generalises the minimum spanning tree problem, in contrast, it is NP-complete and is usually solved for large instances by deterministic or stochastic heuristic methods and approximate algorithms. In this paper, however, we focus on a different approach, based on the formulation of a mixed integer programming model and its modification for solving in the professional optimization tool GAMS, which is now capable of solving even large instances of problems of exponential complexity.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    WSEAS Transactions on Computers

  • ISSN

    1109-2750

  • e-ISSN

  • Volume of the periodical

    21

  • Issue of the periodical within the volume

    July

  • Country of publishing house

    GR - GREECE

  • Number of pages

    6

  • Pages from-to

    257-262

  • UT code for WoS article

  • EID of the result in the Scopus database