IDEAS home Printed from https://ideas.repec.org/a/sae/envirb/v23y1996i5p553-574.html
   My bibliography  Save this article

Providing Spatial Decision Support for Rural Public Service Facilities That Require a Minimum Workload

Author

Listed:
  • P J Densham

    (Department of Geography, University College London, 26 Bedford Way, London WC1H OAP, England)

  • G Rushton

    (Department of Geography, The University of Iowa, 316 Jessup Hall, Iowa City, IA 52242, USA)

Abstract

One class of spatial problems is concerned with the location of facilities and the allocation of demand to them. A special case occurs in rural areas where a minimum workload may be needed to ensure the viability of a facility. Where a facility does not meet this threshold workload, demand may be reallocated from adjacent centres that exceed their thresholds. Decisionmakers traditionally have undertaken this reallocation process either by using optimising algorithms or by adopting subjective self-identified changes to the system. An algorithm, called ADJUST, has been developed to bridge these two approaches. Although ADJUST identifies a sequence of demand units to be reallocated that least increase the total distance travelled in the system, decisionmakers explicitly control the trade-off between meeting the workload threshold of a facility and the extra distance incurred in reallocating a demand unit to it. Such a supervised trade-off process is applicable to a broad class of geographic problems. We describe the strategies employed by a group of decisionmakers when they used ADJUST to reorganise area education authorities in Iowa, the implementation of the algorithm, and possible extensions to enhance its ability to support collaborative spatial decisionmaking processes.

Suggested Citation

  • P J Densham & G Rushton, 1996. "Providing Spatial Decision Support for Rural Public Service Facilities That Require a Minimum Workload," Environment and Planning B, , vol. 23(5), pages 553-574, October.
    • Handle: RePEc:sae:envirb:v:23:y:1996:i:5:p:553-574
    DOI: 10.1068/b230553
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/b230553
    Download Restriction: no
    File URL: https://libkey.io/10.1068/b230553?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Gerard Rushton, 1972. "Map Transformations Of Point Patterns: Central Place Patterns In Areas Of Variable Population Density," Papers in Regional Science, Wiley Blackwell, vol. 28(1), pages 111-132, January.
    2. Mohammad M. Amini & Michael Racer, 1994. "A Rigorous Computational Comparison of Alternative Solution Methods for the Generalized Assignment Problem," Management Science, INFORMS, vol. 40(7), pages 868-890, July.
    3. Umit Akinc & Basheer M. Khumawala, 1977. "An Efficient Branch and Bound Algorithm for the Capacitated Warehouse Location Problem," Management Science, INFORMS, vol. 23(6), pages 585-594, February.
    4. Hasan Pirkul & David A. Schilling, 1988. "The Siting of Emergency Service Facilities with Workload Capacities and Backup Service," Management Science, INFORMS, vol. 34(7), pages 896-908, July.
    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. Tsouros, C. & Satratzemi, M., 1996. "Optimal solution of a total time distribution problem," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 473-478, August.
    2. Klaus Büdenbender & Tore Grünert & Hans-Jürgen Sebastian, 2000. "A Hybrid Tabu Search/Branch-and-Bound Algorithm for the Direct Flight Network Design Problem," Transportation Science, INFORMS, vol. 34(4), pages 364-380, November.
    3. Melkote, Sanjay & Daskin, Mark S., 2001. "Capacitated facility location/network design problems," European Journal of Operational Research, Elsevier, vol. 129(3), pages 481-495, March.
    4. P. Daniel Wright & Matthew J. Liberatore & Robert L. Nydick, 2006. "A Survey of Operations Research Models and Applications in Homeland Security," Interfaces, INFORMS, vol. 36(6), pages 514-529, December.
    5. Leyla Ozsen & Collette R. Coullard & Mark S. Daskin, 2008. "Capacitated warehouse location model with risk pooling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 295-312, June.
    6. Harkness, Joseph & ReVelle, Charles, 2003. "Facility location with increasing production costs," European Journal of Operational Research, Elsevier, vol. 145(1), pages 1-13, February.
    7. Mazzola, Joseph B. & Neebe, Alan W., 1999. "Lagrangian-relaxation-based solution procedures for a multiproduct capacitated facility location problem with choice of facility type," European Journal of Operational Research, Elsevier, vol. 115(2), pages 285-299, June.
    8. 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.
    9. Joseph B. Mazzola & Robert H. Schantz, 1997. "Multiple‐facility loading under capacity‐based economies of scope," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(3), pages 229-256, April.
    10. D Gade & E A Pohl, 2009. "Sample average approximation applied to the capacitated-facilities location problem with unreliable facilities," Journal of Risk and Reliability, , vol. 223(4), pages 259-269, December.
    11. A C Gatrell, 1979. "Autocorrelation in Spaces," Environment and Planning A, , vol. 11(5), pages 507-516, May.
    12. Boffey, Brian & Galvao, Roberto & Espejo, Luis, 2007. "A review of congestion models in the location of facilities with immobile servers," European Journal of Operational Research, Elsevier, vol. 178(3), pages 643-662, May.
    13. 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.
    14. Shariat-Mohaymany, Afshin & Babaei, Mohsen & Moadi, Saeed & Amiripour, Sayyed Mahdi, 2012. "Linear upper-bound unavailability set covering models for locating ambulances: Application to Tehran rural roads," European Journal of Operational Research, Elsevier, vol. 221(1), pages 263-272.
    15. Narciso, Marcelo G. & Lorena, Luiz Antonio N., 1999. "Lagrangean/surrogate relaxation for generalized assignment problems," European Journal of Operational Research, Elsevier, vol. 114(1), pages 165-177, April.
    16. Helena Ramalhinho-Lourenço & Daniel Serra, 1998. "Adaptive approach heuristics for the generalized assignment problem," Economics Working Papers 288, Department of Economics and Business, Universitat Pompeu Fabra.
    17. Fathali Firoozi, 2008. "Boundary Distributions in Testing Inequality Hypotheses," Working Papers 0046, College of Business, University of Texas at San Antonio.
    18. Michael K. Lim & Achal Bassamboo & Sunil Chopra & Mark S. Daskin, 2013. "Facility Location Decisions with Random Disruptions and Imperfect Estimation," Manufacturing & Service Operations Management, INFORMS, vol. 15(2), pages 239-249, May.
    19. Diaz, Juan A. & Fernandez, Elena, 2001. "A Tabu search heuristic for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 132(1), pages 22-38, July.
    20. John Parr, 2012. "Spatial-structure differences between urban and regional systems," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 49(2), pages 293-303, October.

    More about this item

    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:sae:envirb:v:23:y:1996:i:5:p:553-574. 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: SAGE Publications (email available below). General contact details of provider: .

    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.