IDEAS home Printed from https://ideas.repec.org/p/wiw/wiwrsa/ersa06p495.html

Optimal Dislocation of Branch Offices From View of Transport Availability

Author

Listed:
  • Bohdan Linda

  • Jana Kubanova

Abstract

The district authorities were canceled and substituted by self-governments branch offices after the public administration reform in the Czech Republic. So-called municipalities with extended sphere of authority were proposed for placing of branch offices. These branch offices were chosen regardless of their transport availability. The article deals with the problem of determination of optimal number of branch offices and of their attract areas, from view of their transport availability. The problem is solved with the methods of mathematical programming. The problem was by the help of Lagrange multiplicator converted to incapacitated location problem with criterion function sum(fyi)+sum sum (cij xij) where xij is arbitrary variable expressing whether the municipality j is allocated to the branch office i, cij is a coefficient representing distance from branch office i, weighted with population of the municipality j, yi is bivalent variable expressing whether in the municipality will be established the branch office and f is constant presenting branch office establishment costs. Model is solved with Erlenkotter method realized by the help of BB dual algorithm.

Suggested Citation

  • Bohdan Linda & Jana Kubanova, 2006. "Optimal Dislocation of Branch Offices From View of Transport Availability," ERSA conference papers ersa06p495, European Regional Science Association.
    • Handle: RePEc:wiw:wiwrsa:ersa06p495
    as

    Download full text from publisher

    File URL: https://www-sre.wu.ac.at/ersa/ersaconfs/ersa06/papers/495.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Donald Erlenkotter, 1978. "A Dual-Based Procedure for Uncapacitated Facility Location," Operations Research, INFORMS, vol. 26(6), pages 992-1009, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Canovas, Lazaro & Garcia, Sergio & Marin, Alfredo, 2007. "Solving the uncapacitated multiple allocation hub location problem by means of a dual-ascent technique," European Journal of Operational Research, Elsevier, vol. 179(3), pages 990-1007, June.
    2. Syam, Siddhartha S. & Côté, Murray J., 2010. "A location-allocation model for service providers with application to not-for-profit health care organizations," Omega, Elsevier, vol. 38(3-4), pages 157-166, June.
    3. Harkness, Joseph & ReVelle, Charles, 2003. "Facility location with increasing production costs," European Journal of Operational Research, Elsevier, vol. 145(1), pages 1-13, February.
    4. Emelogu, Adindu & Chowdhury, Sudipta & Marufuzzaman, Mohammad & Bian, Linkan & Eksioglu, Burak, 2016. "An enhanced sample average approximation method for stochastic optimization," International Journal of Production Economics, Elsevier, vol. 182(C), pages 230-252.
    5. Mina Husseinzadeh Kashan & Ali Husseinzadeh Kashan & Nasim Nahavandi, 2013. "A novel differential evolution algorithm for binary optimization," Computational Optimization and Applications, Springer, vol. 55(2), pages 481-513, June.
    6. Monabbati, Ehsan & Kakhki, Hossein Taghizadeh, 2015. "On a class of subadditive duals for the uncapacitated facility location problem," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 118-131.
    7. Kaj Holmberg & Johan Hellstrand, 1998. "Solving the Uncapacitated Network Design Problem by a Lagrangean Heuristic and Branch-and-Bound," Operations Research, INFORMS, vol. 46(2), pages 247-259, April.
    8. Oded Berman & Dmitry Krass, 2005. "An Improved IP Formulation for the Uncapacitated Facility Location Problem: Capitalizing on Objective Function Structure," Annals of Operations Research, Springer, vol. 136(1), pages 21-34, April.
    9. Sharma, R.R.K. & Berry, V., 2007. "Developing new formulations and relaxations of single stage capacitated warehouse location problem (SSCWLP): Empirical investigation for assessing relative strengths and computational effort," European Journal of Operational Research, Elsevier, vol. 177(2), pages 803-812, March.
    10. Avella, P. & Benati, S. & Canovas Martinez, L. & Dalby, K. & Di Girolamo, D. & Dimitrijevic, B. & Ghiani, G. & Giannikos, I. & Guttmann, N. & Hultberg, T. H. & Fliege, J. & Marin, A. & Munoz Marquez, , 1998. "Some personal views on the current state and the future of locational analysis," European Journal of Operational Research, Elsevier, vol. 104(2), pages 269-287, January.
    11. Sabyasachi Mitra & Ishwar Murthy, 1998. "A Dual Ascent Procedure with Valid Inequalities for Designing Hierarchical Network Topologies," INFORMS Journal on Computing, INFORMS, vol. 10(1), pages 40-55, February.
    12. Tcha, Dong-wan & Myung, Young-soo & Chung, Ki-ho, 1995. "Parametric uncapacitated facility location," European Journal of Operational Research, Elsevier, vol. 86(3), pages 469-479, November.
    13. Drexl, Andreas & Klose, Andreas, 2001. "Facility location models for distribution system design," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 546, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    14. Jakob Krarup, 2007. "Dual ascent: variations of a theme," Annals of Operations Research, Springer, vol. 149(1), pages 137-145, February.
    15. Iakovou, Eleftherios & Ip, Chi M. & Douligeris, Christos & Korde, Ashutosh, 1997. "Optimal location and capacity of emergency cleanup equipment for oil spill response," European Journal of Operational Research, Elsevier, vol. 96(1), pages 72-80, January.
    16. Verter, Vedat & Dasci, Abdullah, 2002. "The plant location and flexible technology acquisition problem," European Journal of Operational Research, Elsevier, vol. 136(2), pages 366-382, January.
    17. C. Beltran-Royo & J.-P. Vial & A. Alonso-Ayuso, 2012. "Semi-Lagrangian relaxation applied to the uncapacitated facility location problem," Computational Optimization and Applications, Springer, vol. 51(1), pages 387-409, January.
    18. Holmberg, Kaj & Ronnqvist, Mikael & Yuan, Di, 1999. "An exact algorithm for the capacitated facility location problems with single sourcing," European Journal of Operational Research, Elsevier, vol. 113(3), pages 544-559, March.
    19. S. Rajagopalan, 1998. "Capacity Expansion and Equipment Replacement: A Unified Approach," Operations Research, INFORMS, vol. 46(6), pages 846-857, December.
    20. Simon Thevenin & Yossiri Adulyasak & Jean-François Cordeau, 2022. "Stochastic Dual Dynamic Programming for Multiechelon Lot Sizing with Component Substitution," INFORMS Journal on Computing, INFORMS, vol. 34(6), pages 3151-3169, November.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wiw:wiwrsa:ersa06p495. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Gunther Maier (email available below). General contact details of provider: http://www.ersa.org .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.