Stochastic Port Selection Under Correlated Arc Disruptions: Improving Defence Supply Lines in the Nordics

Torstein Takvam; Stein W. Wallace; Falko Müller

doi:10.31374/sjms.330

Stochastic Port Selection Under Correlated Arc Disruptions: Improving Defence Supply Lines in the Nordics

Scandinavian Journal of Military Studies

Volume 8 (2025): Issue 1

By: Torstein Takvam , Stein W. Wallace and Falko Müller

Open Access

|May 2025

Abstract

The expansion of NATO in the Nordic region is changing the requirements of the military distribution networks and may alter the optimal selection of seaports of debarkation (SPODs). This study offers a method for comparing and optimizing the selection of SPOD locations for inbound supplies and equipment, while accounting for regional attributes such as road network and weather conditions. To give strategic decision-makers insight into the trade-offs involved, we formulate a stochastic mixed integer linear program that models a multi-depot location-routing problem with arc disruptions within a broader military theatre distribution problem. Arc disruptions, referring to road closures, are drawn from historical data, and the model selects SPODs and allocates vehicles in advance, with daily vehicle routing depending on road conditions. By preserving the correlations observed in past road closures across time and space, the model shows that these correlations significantly influence optimal SPOD selection and resource allocation. Results also reveal that optimal SPOD selection changes depending on season and by the ratio of demand to distribution capacity. Hence, the methodology can support decision-makers in improving readiness and efficiency of military distribution operations in the Nordics.

References

Ahmadi-Javid, A., Seyedi, P., & Syam, S. S. (2017). A survey of healthcare facility location [Review]. Computers and Operations Research, 79, 223–263. 10.1016/j.cor.2016.05.018
Open DOI Search in Google Scholar Back to article
Anthony, R. N. (1965). Planning and control systems: a framework for analysis. Division of Research, Graduate School of Business Administration, Harvard University. https://cir.nii.ac.jp/crid/1130282272059584896
Search in Google Scholar Back to article
Bardal, K. G. (2017). Impacts of adverse weather on Arctic road transport. Journal of transport geography, 59, 49–58. 10.1016/j.jtrangeo.2017.01.007
Open DOI Search in Google Scholar Back to article
Bardal, K. G. (2018). Fremkommelighet på høyfjellstrekninger. Nordlandsforskning.
Search in Google Scholar Back to article
Black, J., Fedina, K., & Eken, M. (2024). Evolving Norway’s Role in the NATO Alliance. RAND Corporation. https://www.rand.org/pubs/commentary/2024/07/evolving-norways-role-in-the-nato-alliance.html
Search in Google Scholar Back to article
Boeing, G. (2017). OSMnx: New methods for acquiring, constructing, analyzing, and visualizing complex street networks. Computers, environment and urban systems, 65, 126–139. 10.1016/j.compenvurbsys.2017.05.004
Open DOI Search in Google Scholar Back to article
Boonmee, C., Arimura, M., & Asada, T. (2017). Facility location optimization model for emergency humanitarian logistics. International journal of disaster risk reduction, 24, 485–498. 10.1016/j.ijdrr.2017.01.017
Open DOI Search in Google Scholar Back to article
Burks, R. E., Moore, J. T., Barnes, J. W., & Bell, J. E. (2010). Solving the theater distribution problem with tabu search. Military Operations Research, 5–26. 10.5711/morj.15.4.5
Open DOI Search in Google Scholar Back to article
Carlsen, H., Tønset, S., Knutsen, M., & Jakobsen, R. (2023). E-tjenesten: – Kan gi utslag i økt spenning. NRK. https://www.nrk.no/norge/pst_-ingen-grunn-til-a-vaere-mindre-bekymret-for-russland-1.16293088
Search in Google Scholar Back to article
Craig, R. R., Lunday, B. J., Hill, R. R., & Nesbitt, P. A. (2015). The military theater distribution network design problem. IIE Annual Conference and Expo 2015.
Search in Google Scholar Back to article
Crino, J. R. (2002). A group theoretic tabu search methodology for solving the theater distribution vehicle routing and scheduling problem. Air Force Institute of Technology.
Search in Google Scholar Back to article
Crino, J. R., Moore, J. T., Barnes, J. W., & Nanry, W. P. (2004). Solving the theater distribution vehicle routing and scheduling problem using group theoretic tabu search. Mathematical and computer modelling, 39(6–8), 599–616. 10.1016/S0895-7177(04)90543-2
Open DOI Search in Google Scholar Back to article
Dahl, A.-S. (2021). Back to the future: Nordefco’s first decade and prospects for the next. Scandinavian Journal of Military Studies, 4(1), 172–184. 10.31374/sjms.85
Open DOI Search in Google Scholar Back to article
Dönmez, Z., Kara, B. Y., Karsu, Ö., & Saldanha-da-Gama, F. (2021). Humanitarian facility location under uncertainty: Critical review and future prospects. Omega, 102, 102393. 10.1016/j.omega.2021.102393
Open DOI Search in Google Scholar Back to article
Dovland, J. (2020). Etterforsyning av en landoperasjon. FFI-rapport 20/00264.
Search in Google Scholar Back to article
Drexl, M., & Schneider, M. (2013). A survey of location-routing problems. Technical Report LM-2013–03.
Search in Google Scholar Back to article
Edvardsen, A., & Martinussen, B. A. M. (2024). NATO’s New Northern Flank: Norway’s Army Chief Expects Great Responsibility. High North News. https://www.highnorthnews.com/en/natos-new-northern-flank-norways-army-chief-expects-great-responsibility
Search in Google Scholar Back to article
Esri. (2024). World Terrain Base [Map]. Source: USGS, Esri, TANA, DeLorme, and NPS.
Search in Google Scholar Back to article
Fortun, M., & Schweber, S. S. (1993). Scientists and the Legacy of World War II: The Case of Operations Research (OR). Social Studies of Science, 23(4), 595–642. http://www.jstor.org/stable/285727. 10.1177/030631293023004001
Open DOI Search in Google Scholar Back to article
Gunter, M. (2022). Some implications of Sweden and Finland joining NATO. The Commentaries, 2(1), 91–100. 10.33182/tc.v2i1.2710
Open DOI Search in Google Scholar Back to article
Gurobi Optimization LLC. (2023). Gurobi Optimizer Reference Manual.
Search in Google Scholar Back to article
Hicks IV, R. J. (2019). Network Optimization to Model Random Risk of Supply Chain Disruptions. Naval Postgraduate School, Monterey, CA.
Search in Google Scholar Back to article
Husdal, J., & Brathen, S. (2010). Bad locations, bad logistics? How Norwegian freight carriers handle transportation disruptions. WCTR, Lisbon, Portugal.
Search in Google Scholar Back to article
Jakobsen, P. V. (2022a). Causal Theories of Threat and Success – Simple Analytical Tools Making it Easier to Assess, Formulate, and Validate Military Strategy. Scandinavian Journal of Military Studies, 5(1), 177–191. 10.31374/sjms.164
Open DOI Search in Google Scholar Back to article
Jakobsen, P. V. (2022b). Introduction: Military Strategy: What is the Use of It? Scandinavian Journal of Military Studies, 5(1). 10.31374/sjms.141
Open DOI Search in Google Scholar Back to article
Johnsen, A. B., & Kristiansen, T. (2022). Peker ut fire nøkkelhavner: Forsvarssjefenes plan for nordisk forsvar. VG. https://www.vg.no/nyheter/innenriks/i/wAAzM4/peker-ut-fire-noekkelhavner-forsvarssjefenes-plan-for-nordisk-forsvar
Search in Google Scholar Back to article
Kall, P., & Wallace, S. W. (1994). Stochastic Programming. Wiley. https://books.google.no/books?id=zvAZAQAAIAAJ
Search in Google Scholar Back to article
Karatas, M., Yakıcı, E., & Razi, N. (2018). Military Facility Location Problems: A Brief Survey. (pp. 1–27). 10.4018/978-1-5225-5513-1.ch001
Open DOI Search in Google Scholar Back to article
King, A. J., & Wallace, S. W. (2024). Modeling with Stochastic Programming. 10.1007/978-3-031-54550-4
Open DOI Search in Google Scholar Back to article
Kystverket. (2022). Status 2022. https://www.kystverket.no/globalassets/sjotransport-og-havn/status/kystverket-status-2022.pdf
Search in Google Scholar Back to article
Lai, C.-M., & Tseng, M.-L. (2022). Designing a reliable hierarchical military logistic network using an improved simplified swarm optimization. Computers & Industrial Engineering, 169, 108153. 10.1016/j.cie.2022.108153
Open DOI Search in Google Scholar Back to article
Liu, Y., Yuan, Y., Shen, J., & Gao, W. (2021). Emergency response facility location in transportation networks: A literature review. Journal of traffic and transportation engineering (English edition), 8(2), 153–169. 10.1016/j.jtte.2021.03.001
Open DOI Search in Google Scholar Back to article
Lium, A.-G., Crainic, T. G., & Wallace, S. W. (2009). A Study of Demand Stochasticity in Service Network Design. Transportation Science, 43(2), 144–157. 10.1287/trsc.1090.0265
Open DOI Search in Google Scholar Back to article
Lobo, B. J., Brown, D. E., & Grazaitis, P. J. (2019). Long-term forecasting of fuel demand at theater entry points. International Journal of Forecasting, 35(2), 502–520. 10.1016/j.ijforecast.2018.09.001
Open DOI Search in Google Scholar Back to article
Longhorn, D. C., Baybordi, S. V., Van Dyke, J. T., Winter, A. W., & Jakes, C. L. (2022). Determining the best ship loading strategy during military deployments. Journal of Defense Analytics and Logistics, 6(2), 98–119. 10.1108/JDAL-07-2022-0003
Open DOI Search in Google Scholar Back to article
Longhorn, D. C., & Muckensturm, J. R. (2019). Determining nodal capacities for military distribution problems. Journal of Defense Analytics and Logistics, 3(2), 110–130. 10.1108/JDAL-03-2019-0006
Open DOI Search in Google Scholar Back to article
Longhorn, D. C., Muckensturm, J. R., & Baybordi, S. V. (2021). Improving the port selection process during military deployments. Journal of Defense Analytics and Logistics, 5(2), 131–151. 10.1108/JDAL-04-2021-0003
Open DOI Search in Google Scholar Back to article
Longhorn, D. C., & Stobbs, J. D. (2021). A heuristic approach applied to the fleet sizing problem for military ground vehicles. Journal of Defense Analytics and Logistics, 5(1), 2–20. 10.1108/JDAL-03-2020-0005
Open DOI Search in Google Scholar Back to article
Lucas, E. R., & Crosbie, T. (2019). Anti-access/Area denial in the Baltic Sea region. Scandinavian Journal of Military Studies, 2(1), 72–73. 10.31374/sjms.31
Open DOI Search in Google Scholar Back to article
Lund, J. R. (1987). Don’t rock the boat: Reinforcing Norway in crisis and war. The RAND Graduate School.
Search in Google Scholar Back to article
Lykke, A. F. (1989). Defining Military Strategy = E + W + M. Military Review, 69(5), 2–8. https://cgsc.contentdm.oclc.org/digital/collection/p124201coll1/id/504/
Search in Google Scholar Back to article
Mara, S. T. W., Kuo, R., & Asih, A. M. S. (2021). Location-routing problem: a classification of recent research. International Transactions in Operational Research, 28(6), 2941–2983. 10.1111/itor.12950
Open DOI Search in Google Scholar Back to article
Moya, J. M., & Valero, M. F. (2017). Port choice in container market: a literature review. Transport Reviews, 37(3), 300–321. 10.1080/01441647.2016.1231233
Open DOI Search in Google Scholar Back to article
Muckensturm, J. R., & Longhorn, D. C. (2019). Assessing the vulnerability of military theater distribution routes. Journal of Defense Analytics and Logistics, 3(1), 60–82. 10.1108/jdal-07-2018-0012
Open DOI Search in Google Scholar Back to article
Nagy, G., & Salhi, S. (2007). Location-routing: Issues, models and methods. European Journal of Operational Research, 177(2), 649–672. 10.1016/j.ejor.2006.04.004
Open DOI Search in Google Scholar Back to article
NATO. (2018). Allied Joint Publication (AJP)-4 Allied Joint Doctrine for Logistics edition B version 1. NATO Standardization Office.
Search in Google Scholar Back to article
NATO. (2020). Affied Administrative Publications (AAP)-6 Glossary of Terms and Definitions Edition 2020. NATO Standardization Office.
Search in Google Scholar Back to article
NATO. (2022a). Allied Joint Publication (AJP)-1, Allied Joint Doctrine (Edition F Version 1). NATO Standardization Office.
Search in Google Scholar Back to article
NATO. (2022b). Allied Joint Publication (AJP)-4.4, Allied Joint Doctrine for Movement (Edition C Version 1). NATO Standardization Office.
Search in Google Scholar Back to article
Nilsen, T. (2024). More trouble on Kiruna-Narvik (de)railway shortly after reopening. The Barents Observer. https://www.thebarentsobserver.com/industry-and-energy/more-trouble-on-kirunanarvik-derailway-shortly-after-reopening/146903
Search in Google Scholar Back to article
NRK.no. (2025). Meråkerbanen er stengt etter skred. https://www.nrk.no/trondelag/merakerbanen-er-stengt-etter-skred-1.17331058
Search in Google Scholar Back to article
OSM. (2017). OpenStreetMap contributors. Planet dump retrieved from https://planet.osm.org. In. https://www.openstreetmap.org
Search in Google Scholar Back to article
Parola, F., Risitano, M., Ferretti, M., & Panetti, E. (2016). The drivers of port competitiveness: a critical review. Transport Reviews, 37(1), 116–138. 10.1080/01441647.2016.1231232
Open DOI Search in Google Scholar Back to article
Ray, N., & Chapman, K. (2023, October 30, 2023). Seminar on Nordic RSOM: Concept of support, 21st Theatre Sustainment Command. Swedish Defence University RSOM week, Storlien, Sweden.
Search in Google Scholar Back to article
Regjeringen.no. (2022). Joint statement on Nordic cooperation in security and defence. https://www.regjeringen.no/contentassets/4e1ccf0209024cb99a2d839fd299a47f/joint-statement-on-nordic-cooperation-in-security-and-defence.pdf
Search in Google Scholar Back to article
Regjeringen.no. (2023). Svar på spørsmål om forsyningslinjer i Norden i forbindelse med Nato-utvidelsen. https://www.regjeringen.no/no/aktuelt/svar-pa-sporsmal-om-sverige-og-finland-i-nato/id2975174/
Search in Google Scholar Back to article
Ren, J., Tan, Y. J., & Zheng, X. L. (2014). Distribution network design in battlefield environment with loss consideration. Journal of Chemical and Pharmaceutical Research, 6(3), 1233–1238.
Search in Google Scholar Back to article
Salmerón, J., Wood, R. K., & Morton, D. P. (2009). A stochastic program for optimizing military sealift subject attack. Military Operations Research, 14(2), 19–39. 10.5711/morj.14.2.19
Open DOI Search in Google Scholar Back to article
Samferdselsdepartementet. (2024). Nasjonal transportplan 2025–2036. (Meld. St. 14). Retrieved from https://www.regjeringen.no/no/dokumenter/meld.-st.-14-20232024/id3030714/?ch=2
Search in Google Scholar Back to article
Schneider, M., & Drexl, M. (2017). A survey of the standard location-routing problem. Annals of Operations Research, 259, 389–414. 10.1007/s10479-017-2509-0
Open DOI Search in Google Scholar Back to article
Sebbah, S., Ghanmi, A., & Boukhtouta, A. (2013). A column-and-cut generation algorithm for planning of Canadian armed forces tactical logistics distribution. Computers and Operations Research, 40(12), 3069–3079. 10.1016/j.cor.2013.07.002
Open DOI Search in Google Scholar Back to article
Singgih, I. K., & Lee, G. M. (2014). Lower and upper bounds for military deployment planning considering combat. International Journal of Industrial Engineering: Theory Applications and Practice, 21(6), 408–420.
Search in Google Scholar Back to article
Skoglund, P., Listou, T., & Ekström, T. (2022). Russian logistics in the Ukrainian war: Can operational failures be attributed to logistics? Scandinavian Journal of Military Studies, 5(1), 99–110. 10.31374/sjms.158
Open DOI Search in Google Scholar Back to article
Steven, A. B., & Corsi, T. M. (2012). Choosing a port: An analysis of containerized imports into the US. Transportation Research Part E: Logistics and Transportation Review, 48(4), 881–895. 10.1016/j.tre.2012.02.003
Open DOI Search in Google Scholar Back to article
Tenold, S. (2019). The starting point: A small country, but a major maritime nation. Norwegian Shipping in the 20th Century: Norway’s Successful Navigation of the World’s Most Global Industry, 21–61. 10.1007/978-3-319-95639-8_2
Open DOI Search in Google Scholar Back to article
Toyoglu, H., Karasan, O. E., & Kara, B. Y. (2011). Distribution network design on the battlefield. Naval Research Logistics, 58(3), 188–209. 10.1002/nav.20402
Open DOI Search in Google Scholar Back to article
Tran, N. K., & Haasis, H.-D. (2015). Literature survey of network optimization in container liner shipping. Flexible Services and Manufacturing Journal, 27, 139–179. 10.1007/s10696-013-9179-2
Open DOI Search in Google Scholar Back to article
US ARMY. (2024, 24. April 2024). Army equipment departs America headed for Europe, DEFENDER 24 https://www.europeafrica.army.mil/ArticleViewPressRelease/Article/3730409/army-equipment-departs-america-headed-for-europe-defender-24/
Search in Google Scholar Back to article
US Joint Chiefs of Staff. (2000). Joint Publications 4-01.4: Joint Tactics, Techniques, and Procedures for Joint Theater Distribution. 10.21236/ADA434256
Open DOI Search in Google Scholar Back to article
US Joint Chiefs of Staff. (2013a). Joint Publication 1: Doctrine for the Armed Forces of the United States.
Search in Google Scholar Back to article
US Joint Chiefs of Staff. (2013b). Joint publication 4-09: Distribution Operations.
Search in Google Scholar Back to article
US Joint Chiefs of Staff. (2017). Joint Publications 4-01: The Defense Transportation System.
Search in Google Scholar Back to article
Viste, R. H., & Birkemo, G. A. (2023). Geografisk fordeling av sivile ressurser for forsvaret av Norge. FFI-rapport 23/02037.
Search in Google Scholar Back to article
Zhao, K., Kumar, A., Harrison, T. P., & Yen, J. (2011). Analyzing the resilience of complex supply network topologies against random and targeted disruptions. IEEE Systems Journal, 5(1), 28–39. 10.1109/jsyst.2010.2100192
Open DOI Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.31374/sjms.330 | Journal eISSN: 2596-3856

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Language: English

Page range: 220 - 239

Submitted on: Sep 16, 2024

Accepted on: Apr 10, 2025

Published on: May 29, 2025

Published by: Scandinavian Military Studies

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

stochastic programming,

theater distribution

© 2025 Torstein Takvam, Stein W. Wallace, Falko Müller, published by Scandinavian Military Studies
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 8 (2025): Issue 1