IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v47y1999i2p175-182.html
   My bibliography  Save this article

The U.S. Army National Guard's Mobile Training Simulators Location and Routing Problem

Author

Listed:
  • Katta G. Murty

    (University of Michigan, Ann Arbor, Michigan)

  • Philipp A. Djang

    (U.S. Army Training and Doctrine Analysis Command, New Mexico)

Abstract

For training National Guard units, the U.S. Army National Guard will field 21 combat vehicle training simulators called mobile trainers . Each National Guard unit must train at a station that is not farther than a specified maximum travel distance from its armory. We address the problem of finding:• the optimum locations for the home bases for the mobile trainers,• the locations of secondary training sites to which the mobile trainers will travel to provide training, and• the actual routes that the mobile trainers will take to cover all these secondary training sites.The aim is to allocate each National Guard unit to a training site within the maximum travel distance from its armory, while simultaneously minimizing the mobile trainer fleet mileage and the total distance traveled by all units.The problem is too large and complex to solve as a single model. We apply a heuristic decomposition strategy to break the overall problem into manageable stages, developing suitable substitute objective functions for each. This approach led to a solution in which the mobile trainer fleet mileage is 72,850 miles per year: about 70% smaller than the 231,000 miles per year in the original Army's procurement plan. Our solution has been implemented (with minor modifications) by the Army.

Suggested Citation

  • Katta G. Murty & Philipp A. Djang, 1999. "The U.S. Army National Guard's Mobile Training Simulators Location and Routing Problem," Operations Research, INFORMS, vol. 47(2), pages 175-182, April.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:2:p:175-182
    DOI: 10.1287/opre.47.2.175
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.47.2.175
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.47.2.175?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. Constantine Toregas & Ralph Swain & Charles ReVelle & Lawrence Bergman, 1971. "The Location of Emergency Service Facilities," Operations Research, INFORMS, vol. 19(6), pages 1363-1373, October.
    2. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
    3. Charles Revelle & David Marks & Jon C. Liebman, 1970. "An Analysis of Private and Public Sector Location Models," Management Science, INFORMS, vol. 16(11), pages 692-707, July.
    4. S. L. Hakimi, 1965. "Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems," Operations Research, INFORMS, vol. 13(3), pages 462-475, June.
    5. Laporte, Gilbert, 1992. "The vehicle routing problem: An overview of exact and approximate algorithms," European Journal of Operational Research, Elsevier, vol. 59(3), pages 345-358, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Senay Solak & Christina Scherrer & Ahmed Ghoniem, 2014. "The stop-and-drop problem in nonprofit food distribution networks," Annals of Operations Research, Springer, vol. 221(1), pages 407-426, October.
    2. Govindan, K. & Jafarian, A. & Khodaverdi, R. & Devika, K., 2014. "Two-echelon multiple-vehicle location–routing problem with time windows for optimization of sustainable supply chain network of perishable food," International Journal of Production Economics, Elsevier, vol. 152(C), pages 9-28.
    3. Nasrin Asgari & Mohsen Rajabi & Masoumeh Jamshidi & Maryam Khatami & Reza Zanjirani Farahani, 2017. "A memetic algorithm for a multi-objective obnoxious waste location-routing problem: a case study," Annals of Operations Research, Springer, vol. 250(2), pages 279-308, March.
    4. Reihaneh, Mohammad & Ghoniem, Ahmed, 2019. "A branch-and-price algorithm for a vehicle routing with demand allocation problem," European Journal of Operational Research, Elsevier, vol. 272(2), pages 523-538.

    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. Wang, Wei & Wu, Shining & Wang, Shuaian & Zhen, Lu & Qu, Xiaobo, 2021. "Emergency facility location problems in logistics: Status and perspectives," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    2. Xin Feng & Alan T. Murray, 2018. "Allocation using a heterogeneous space Voronoi diagram," Journal of Geographical Systems, Springer, vol. 20(3), pages 207-226, July.
    3. Knight, V.A. & Harper, P.R. & Smith, L., 2012. "Ambulance allocation for maximal survival with heterogeneous outcome measures," Omega, Elsevier, vol. 40(6), pages 918-926.
    4. Amir Hossein Sadeghi & Ziyuan Sun & Amirreza Sahebi-Fakhrabad & Hamid Arzani & Robert Handfield, 2023. "A Mixed-Integer Linear Formulation for a Dynamic Modified Stochastic p-Median Problem in a Competitive Supply Chain Network Design," Logistics, MDPI, vol. 7(1), pages 1-24, March.
    5. Li, Hongmei & Luo, Taibo & Xu, Yinfeng & Xu, Jiuping, 2018. "Minimax regret vertex centdian location problem in general dynamic networks," Omega, Elsevier, vol. 75(C), pages 87-96.
    6. Xiujuan Zhao & Wei Xu & Yunjia Ma & Fuyu Hu, 2015. "Scenario-Based Multi-Objective Optimum Allocation Model for Earthquake Emergency Shelters Using a Modified Particle Swarm Optimization Algorithm: A Case Study in Chaoyang District, Beijing, China," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-16, December.
    7. Bell, John E. & Griffis, Stanley E. & Cunningham III, William A. & Eberlan, Jon A., 2011. "Location optimization of strategic alert sites for homeland defense," Omega, Elsevier, vol. 39(2), pages 151-158, April.
    8. Dayanna Rodrigues da Cunha Nunes & Orivalde Soares da Silva Júnior & Renata Albergaria de Mello Bandeira & Yesus Emmanuel Medeiros Vieira, 2023. "A Robust Stochastic Programming Model for the Well Location Problem: The Case of The Brazilian Northeast Region," Sustainability, MDPI, vol. 15(14), pages 1-21, July.
    9. Jing Yao & Alan T. Murray, 2014. "Locational Effectiveness of Clinics Providing Sexual and Reproductive Health Services to Women in Rural Mozambique," International Regional Science Review, , vol. 37(2), pages 172-193, April.
    10. ReVelle, C. S. & Eiselt, H. A., 2005. "Location analysis: A synthesis and survey," European Journal of Operational Research, Elsevier, vol. 165(1), pages 1-19, August.
    11. H K Smith & G Laporte & P R Harper, 2009. "Locational analysis: highlights of growth to maturity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 140-148, May.
    12. Smith, Honora K. & Harper, Paul R. & Potts, Chris N. & Thyle, Ann, 2009. "Planning sustainable community health schemes in rural areas of developing countries," European Journal of Operational Research, Elsevier, vol. 193(3), pages 768-777, March.
    13. Mahmutoğulları, Özlem & Yaman, Hande, 2023. "Robust alternative fuel refueling station location problem with routing under decision-dependent flow uncertainty," European Journal of Operational Research, Elsevier, vol. 306(1), pages 173-188.
    14. Mark S. Daskin, 2008. "What you should know about location modeling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 283-294, June.
    15. Honora Smith & Daniel Cakebread & Maria Battarra & Ben Shelbourne & Naseem Cassim & Lindi Coetzee, 2017. "Location of a hierarchy of HIV/AIDS test laboratories in an inbound hub network: case study in South Africa," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 1068-1081, September.
    16. James H. Lambert & Mark W. Farrington, 2006. "Risk‐Based Objectives for the Allocation of Chemical, Biological, and Radiological Air Emissions Sensors," Risk Analysis, John Wiley & Sons, vol. 26(6), pages 1659-1674, December.
    17. ReVelle, C.S. & Eiselt, H.A. & Daskin, M.S., 2008. "A bibliography for some fundamental problem categories in discrete location science," European Journal of Operational Research, Elsevier, vol. 184(3), pages 817-848, February.
    18. Yunjia Ma & Wei Xu & Lianjie Qin & Xiujuan Zhao, 2019. "Site Selection Models in Natural Disaster Shelters: A Review," Sustainability, MDPI, vol. 11(2), pages 1-24, January.
    19. Michael J. Brusco, 2022. "Solving Classic Discrete Facility Location Problems Using Excel Spreadsheets," INFORMS Transactions on Education, INFORMS, vol. 22(3), pages 160-171, May.
    20. Bell, Michael G.H. & Fonzone, Achille & Polyzoni, Chrisanthi, 2014. "Depot location in degradable transport networks," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 148-161.

    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:inm:oropre:v:47:y:1999:i:2:p:175-182. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.