Military Resource Allocation as a Set Covering Problem
Main Article Content
Abstract
Fixed location resource allocation modeled as a set covering problem is a classic integer program. This framework has been widely applied to emergency service resource allocation, and this paper extends this approach to military resource allocation. Using military air medical evacuation resource allocation in Afghanistan as a proof of concept, a methodology is presented that could easily extend to other operational environments and other military resource allocation problems. Unique contributions include clustering of enemy activity reports to support demand signal analysis and consideration of set covering requirements for varying demand signal density.
Article Sidebar
Published
January 20, 2015
Article Details
Section
Articles
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
The copyediting stage is intended to improve the flow, clarity, grammar, wording, and formatting of the article. It represents the last chance for the author to make any substantial changes to the text because the next stage is restricted to typos and formatting corrections. The file to be copyedited is in Word or .rtf format and therefore can easily be edited as a word processing document. The set of instructions displayed here proposes two approaches to copyediting. One is based on Microsoft Word's Track Changes feature and requires that the copy editor, editor, and author have access to this program. A second system, which is software independent, has been borrowed, with permission, from the Harvard Educational Review. The journal editor is in a position to modify these instructions, so suggestions can be made to improve the process for this journal.
Author Biography
Paul Evangelista, United States Military Academy
Academy Professor, Department of Systems EngineeringReferences
Boyaci, B. and Geroliminis, N. (2012). Facility Location Problem for Emergency and On-Demand Transportation Systems. Proceedings of the 2012 Swiss Transport Research Conference.
Church, R. and ReVelle, C. (1974). The Maximal Covering Location Problem. Papers in Regional Science, 32: 101–118.
Daskin, M. and Stern, E. (1981). A Hierarchical Objective Set Covering Model for Emergency Medical Service Vehicle Deployment. Transportation Science. 15(2): 137–152.
Edlich, R.F., Wish, J.R., Britt, L.D., and Long, W.B. (2004). An Organized Approach to Trauma Care: Legacy of R Adams Cowley. Journal of Long Term Effects of Medical Implants. 14(6): 481-511.
Gendreau, M., Laporte, G., and Semet, F. (1997). Solving an Ambulance Location Model by Tabu Search. Location Science. 5(2): 75–88.
Gons, E., Schroden, J., McAlinden, R., Gaul, M., and VanPoppel, B. (2012). Challenges of Measuring Progress in Afghanistan Using Violence Trends: The Effects of Aggregation, Military Operations, Seasonality, Weather, and Other Causal Factors. Defense and Security Analysis. 28(2): 100-113
Jia, H., Ordóñez, F. and Dessouky, M. (2007). A Modeling Framework for Facility Location of Medical Services for Large-Scale Emergencies. IIE Transactions. 39(1); 41-55.
Lerner, E. B. and Moscati, R. M. (2001). The Golden Hour: Scientific Fact or Medical “Urban Legend”? Academic Emergency Medicine. 8: 758-760.
Marianov, V. and ReVelle, C.S. (1996). The Queueing Maximal Availability Location Problem: A Model for the Siting of Emergency Vehicles. European Journal of Operational Research. 93(1): 110–120.
Morgan, Wesley. (2013). Afghanistan – Order of Battle. Retrieved from the Institute for the Study of War, http://www.understandingwar.org/report/afghanistan-order-battle.
ReVelle, C.S. and Rosing, K.E. (2000). Defendes Imperium Romanum: A Classical Problem in Military Strategy. The American Mathematical Monthly. 107(7): 585-594.
Sloan, H. (1992). R Adams Cowley, MD: 1917-1991. Annals of Thoracic Surgery. 53(6): 954.
Toregas, C., Swain, R., ReVelle, C.S. and Bergman, L. (1971). The Location of Emergency Service Facilities. Operations Research, 19: 1363-1373.
United States Army. (2012). The Operations Process. Washington, D.C.: Headquarters, Department of the Army.
Church, R. and ReVelle, C. (1974). The Maximal Covering Location Problem. Papers in Regional Science, 32: 101–118.
Daskin, M. and Stern, E. (1981). A Hierarchical Objective Set Covering Model for Emergency Medical Service Vehicle Deployment. Transportation Science. 15(2): 137–152.
Edlich, R.F., Wish, J.R., Britt, L.D., and Long, W.B. (2004). An Organized Approach to Trauma Care: Legacy of R Adams Cowley. Journal of Long Term Effects of Medical Implants. 14(6): 481-511.
Gendreau, M., Laporte, G., and Semet, F. (1997). Solving an Ambulance Location Model by Tabu Search. Location Science. 5(2): 75–88.
Gons, E., Schroden, J., McAlinden, R., Gaul, M., and VanPoppel, B. (2012). Challenges of Measuring Progress in Afghanistan Using Violence Trends: The Effects of Aggregation, Military Operations, Seasonality, Weather, and Other Causal Factors. Defense and Security Analysis. 28(2): 100-113
Jia, H., Ordóñez, F. and Dessouky, M. (2007). A Modeling Framework for Facility Location of Medical Services for Large-Scale Emergencies. IIE Transactions. 39(1); 41-55.
Lerner, E. B. and Moscati, R. M. (2001). The Golden Hour: Scientific Fact or Medical “Urban Legend”? Academic Emergency Medicine. 8: 758-760.
Marianov, V. and ReVelle, C.S. (1996). The Queueing Maximal Availability Location Problem: A Model for the Siting of Emergency Vehicles. European Journal of Operational Research. 93(1): 110–120.
Morgan, Wesley. (2013). Afghanistan – Order of Battle. Retrieved from the Institute for the Study of War, http://www.understandingwar.org/report/afghanistan-order-battle.
ReVelle, C.S. and Rosing, K.E. (2000). Defendes Imperium Romanum: A Classical Problem in Military Strategy. The American Mathematical Monthly. 107(7): 585-594.
Sloan, H. (1992). R Adams Cowley, MD: 1917-1991. Annals of Thoracic Surgery. 53(6): 954.
Toregas, C., Swain, R., ReVelle, C.S. and Bergman, L. (1971). The Location of Emergency Service Facilities. Operations Research, 19: 1363-1373.
United States Army. (2012). The Operations Process. Washington, D.C.: Headquarters, Department of the Army.
How to Cite
Military Resource Allocation as a Set Covering Problem. (2015). Industrial and Systems Engineering Review, 3(1), 1-6. https://doi.org/10.37266/ISER.2015v3i1.pp1-6
How to Cite
Military Resource Allocation as a Set Covering Problem. (2015). Industrial and Systems Engineering Review, 3(1), 1-6. https://doi.org/10.37266/ISER.2015v3i1.pp1-6
