{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T11:00:15Z","timestamp":1785409215975,"version":"3.56.0"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,9,22]],"date-time":"2016-09-22T00:00:00Z","timestamp":1474502400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2016,9,22]],"date-time":"2016-09-22T00:00:00Z","timestamp":1474502400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"National Science Foundation","award":["NSF-IIS 1124827"],"award-info":[{"award-number":["NSF-IIS 1124827"]}]},{"name":"National Science Foundation","award":["NSF-IIS 1124827"],"award-info":[{"award-number":["NSF-IIS 1124827"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2018,3]]},"DOI":"10.1007\/s10479-016-2322-1","type":"journal-article","created":{"date-parts":[[2016,9,22]],"date-time":"2016-09-22T23:06:03Z","timestamp":1474585563000},"page":"133-151","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":51,"title":["A fair division approach to humanitarian logistics inspired by conditional value-at-risk"],"prefix":"10.1007","volume":"262","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6356-4028","authenticated-orcid":false,"given":"Amy Givler","family":"Chapman","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"John E.","family":"Mitchell","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2016,9,22]]},"reference":[{"key":"2322_CR1","volume-title":"Victims protest unfair distribution of relief goods","author":"A Amin","year":"2010","unstructured":"Amin, A. (2010). Victims protest unfair distribution of relief goods. Lahore: Daily Times."},{"key":"2322_CR2","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/PL00011399","volume":"89","author":"F Andersson","year":"2001","unstructured":"Andersson, F., Mausser, H., Rosen, D., & Uryasev, S. (2001). Credit risk optimization with conditional value-at-risk criterion. Mathematical Programming, 89, 273\u2013292.","journal-title":"Mathematical Programming"},{"key":"2322_CR3","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1111\/1467-9965.00068","volume":"9","author":"P Artzner","year":"1999","unstructured":"Artzner, P., Delbaen, F., Eber, J.-M., & Heath, D. (1999). Coherent measures of risk. Mathematical Finance, 9, 203\u2013228.","journal-title":"Mathematical Finance"},{"key":"2322_CR4","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1111\/ecoj.12225","volume":"125","author":"AB Atkinson","year":"2015","unstructured":"Atkinson, A. B., & Brandolini, A. (2015). Unveiling the ethics behind inequality measurement: Dalton\u2019s contribution to economics. The Economic Journal, 125, 209\u2013234.","journal-title":"The Economic Journal"},{"key":"2322_CR5","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1080\/10556780902883184","volume":"24","author":"X Bao","year":"2009","unstructured":"Bao, X., Sahinidis, N. V., & Tawarmalani, M. (2009). Multiterm polyhedral relaxations for nonconvex, quadratically-constrained quadratic programs. Optimization Methods and Software, 24, 485\u2013504.","journal-title":"Optimization Methods and Software"},{"key":"2322_CR6","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/s10107-011-0462-2","volume":"129","author":"X Bao","year":"2011","unstructured":"Bao, X., Sahinidis, N. V., & Tawarmalani, M. (2011). Semidefinite relaxations for quadratically constrained quadratic programs: A review and comparisons. Mathematical Programming, 129, 129\u2013157.","journal-title":"Mathematical Programming"},{"key":"2322_CR7","doi-asserted-by":"publisher","first-page":"805","DOI":"10.1016\/j.endm.2010.05.102","volume":"36","author":"P Belotti","year":"2010","unstructured":"Belotti, P., Miller, A. J., & Namazifar, M. (2010). Valid inequalities and convex hulls for multilinear functions. Electronic Notes in Discrete Mathematics, 36, 805\u2013812.","journal-title":"Electronic Notes in Discrete Mathematics"},{"key":"2322_CR8","doi-asserted-by":"publisher","DOI":"10.1515\/9781400835591","volume-title":"Mathematics and democracy: Designing better voting and fair-division procedures","author":"SJ Brams","year":"2008","unstructured":"Brams, S. J. (2008). Mathematics and democracy: Designing better voting and fair-division procedures. Princeton, NJ: Princeton University Press."},{"key":"2322_CR9","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1007\/s00224-011-9359-y","volume":"50","author":"I Caragiannis","year":"2012","unstructured":"Caragiannis, I., Kaklamanis, C., Kanellopoulos, P., & Kyropoulou, M. (2012). The efficiency of fair division. Theory of Computing Systems, 50, 589\u2013610.","journal-title":"Theory of Computing Systems"},{"key":"2322_CR10","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1016\/j.seps.2011.04.004","volume":"46","author":"AM Caunhye","year":"2012","unstructured":"Caunhye, A. M., Nie, X., & Pokharel, S. (2012). Optimization models in emergency logistics: A literature review. Socio-Economic Planning Sciences, 46, 4\u201313.","journal-title":"Socio-Economic Planning Sciences"},{"key":"2322_CR11","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1111\/j.1540-6210.2010.02151.x","volume":"70","author":"T Craemer","year":"2010","unstructured":"Craemer, T. (2010). Evaluating racial disparities in Hurricane Katrina relief using direct trailer counts in New Orleans and FEMA records. Public Administration Review, 70, 367\u2013377.","journal-title":"Public Administration Review"},{"key":"2322_CR12","first-page":"447","volume-title":"Wiley encyclopedia of operations research and management science","author":"\u00d6 Ergun","year":"2010","unstructured":"Ergun, \u00d6., Karakus, G., Keskinocak, P., Swann, J., & Villarreal, M. (2010). Operations research to improve disaster supply chain management. In J. J. Cochran, L. A. Cox, P. Keskinocak, J. P. Kharoufeh, & J. C. Smith (Eds.), Wiley encyclopedia of operations research and management science (pp. 447\u2013462). Hoboken, NJ: Wiley."},{"key":"2322_CR13","unstructured":"Givler, A. E. (2015). A stochastic conditional value-at-risk approach to disaster relief planning, Ph.D. thesis. Troy, NY: Rensselaer Polytechnic Institute."},{"key":"2322_CR14","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1007\/s10107-015-0899-9","volume":"156","author":"J Gotoh","year":"2016","unstructured":"Gotoh, J., & Uryasev, S. (2016). Two pairs of families of polyhedral norms versus $$\\ell _p$$-norms: Proximity and applications in optimization. Mathematical Programming, 156, 391\u2013431.","journal-title":"Mathematical Programming"},{"key":"2322_CR15","unstructured":"Himalayan News Service Kathmandu. (2011). Stir against unfair relief distribution. Kathmandu: Himalayan Times."},{"key":"2322_CR16","doi-asserted-by":"publisher","first-page":"494","DOI":"10.1016\/j.jom.2012.08.003","volume":"30","author":"J Holgu\u00edn-Veras","year":"2012","unstructured":"Holgu\u00edn-Veras, J., Jaller, M., Wassenhove, L. N. V., P\u00e9rez, N., & Wachtendorf, T. (2012). On the unique features of post-disaster humanitarian logistics. Journal of Operations Management, 30, 494\u2013506.","journal-title":"Journal of Operations Management"},{"key":"2322_CR17","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1016\/j.jom.2013.06.002","volume":"31","author":"J Holgu\u00edn-Veras","year":"2013","unstructured":"Holgu\u00edn-Veras, J., P\u00e9rez, N., Jaller, M., Wassenhove, L. N. V., & Aros-Vera, M. F. (2013). On the appropriate objective function for post-disaster humanitarian logistics models. Journal of Operations Management, 31, 262\u2013280.","journal-title":"Journal of Operations Management"},{"key":"2322_CR18","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/s00355-010-0487-0","volume":"37","author":"J Hurley","year":"2011","unstructured":"Hurley, J., Buckley, N. J., Cuff, K., Giacomini, M., & Cameron, D. (2011). Judgments regarding the fair division of goods: The impact of verbal versus quantitative descriptions of alternative divisions. Social Choice and Welfare, 37, 341\u2013372.","journal-title":"Social Choice and Welfare"},{"key":"2322_CR19","unstructured":"Jaller, M. (2011). Resource allocation problems during disasters: The cases of points of distribution planning and material convergence handling, Ph.D. thesis. Troy, NY: Rensselaer Polytechnic Institute."},{"key":"2322_CR20","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1016\/j.ejor.2015.02.035","volume":"245","author":"\u00d6 Karsu","year":"2015","unstructured":"Karsu, \u00d6., & Morton, A. (2015). Inequity averse optimization in operational research. European Journal of Operational Research, 245, 343\u2013359.","journal-title":"European Journal of Operational Research"},{"key":"2322_CR21","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1007\/s10107-005-0582-7","volume":"103","author":"JT Linderoth","year":"2005","unstructured":"Linderoth, J. T. (2005). A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs. Mathematical Programming, 103, 251\u2013282.","journal-title":"Mathematical Programming"},{"key":"2322_CR22","unstructured":"Loggins, R. (2015). Improving the resilience of social infrastructure systems to an extreme event, Ph.D thesis. Troy, NY: Rensselaer Polytechnic Institute."},{"key":"2322_CR23","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1287\/opre.47.3.361","volume":"47","author":"H Luss","year":"1999","unstructured":"Luss, H. (1999). On equitable resource allocation problems: A lexicographic minimax approach. Operations Research, 47, 361\u2013378.","journal-title":"Operations Research"},{"key":"2322_CR24","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1007\/s10479-006-0142-4","volume":"152","author":"R Mansini","year":"2007","unstructured":"Mansini, R., Ogryczak, W., & Speranza, M. (2007). Conditional value at risk and related linear programming models for portfolio optimization. Annals of Operations Research, 152, 227\u2013256.","journal-title":"Annals of Operations Research"},{"key":"2322_CR25","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/BF01580665","volume":"10","author":"GP McCormick","year":"1976","unstructured":"McCormick, G. P. (1976). Computability of global solutions to factorable nonconvex programs: Part I\u2014convex underestimating problems. Mathematical Programming, 10, 147\u2013175.","journal-title":"Mathematical Programming"},{"key":"2322_CR26","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1080\/10556788.2012.749876","volume":"29","author":"JE Mitchell","year":"2014","unstructured":"Mitchell, J. E., Pang, J., & Yu, B. (2014). Convex quadratic relaxations of nonconvex quadratically constrained quadratic programs. Optimization Methods and Software, 29, 120\u2013136.","journal-title":"Optimization Methods and Software"},{"key":"2322_CR27","doi-asserted-by":"publisher","first-page":"541","DOI":"10.1016\/j.cor.2011.03.017","volume":"39","author":"N Noyan","year":"2012","unstructured":"Noyan, N. (2012). Risk-averse two-stage stochastic programming with an application to disaster management. Computers & Operations Research, 39, 541\u2013559.","journal-title":"Computers & Operations Research"},{"key":"2322_CR28","first-page":"303","volume":"36","author":"W Ogryczak","year":"2007","unstructured":"Ogryczak, W. (2007). Multicriteria models for fair resource allocation. Control and Cybernetics, 36, 303\u2013332.","journal-title":"Control and Cybernetics"},{"key":"2322_CR29","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/s10479-007-0234-9","volume":"167","author":"W Ogryczak","year":"2009","unstructured":"Ogryczak, W. (2009). Inequality measures and equitable locations. Annals of Operations Research, 167, 61\u201386.","journal-title":"Annals of Operations Research"},{"key":"2322_CR30","doi-asserted-by":"crossref","unstructured":"Ogryczak, W., Luss, H., Pi\u00f3ro, M., Nace, D., & Tomaszawski, A. (2014). Fair optimization and networks: A survey. Journal of Applied Mathematics, 2014, 1\u201325, Article ID 612018.","DOI":"10.1155\/2014\/612018"},{"key":"2322_CR31","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1023\/A:1020723818980","volume":"110","author":"W Ogryczak","year":"2002","unstructured":"Ogryczak, W., & Zawadzki, M. (2002). Conditional median: A parametric solution concept for location problems. Annals of Operations Research, 110, 167\u2013181.","journal-title":"Annals of Operations Research"},{"key":"2322_CR32","doi-asserted-by":"crossref","unstructured":"Pavlikov, K. & Uryasev, S. (2014). CVaR norm and applications in optimization. Optimziation Letters, 8(7), 1999\u20132020.","DOI":"10.1007\/s11590-013-0713-7"},{"key":"2322_CR33","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1257\/jep.6.2.181","volume":"6","author":"J Persky","year":"1992","unstructured":"Persky, J. (1992). Retrospectives: Pareto\u2019s law. The Journal of Economic Perspectives, 6, 181\u2013192.","journal-title":"The Journal of Economic Perspectives"},{"key":"2322_CR34","doi-asserted-by":"publisher","first-page":"21","DOI":"10.21314\/JOR.2000.038","volume":"2","author":"RT Rockafellar","year":"2000","unstructured":"Rockafellar, R. T., & Uryasev, S. (2000). Optimization of conditional value-at-risk. Journal of Risk, 2, 21\u201342.","journal-title":"Journal of Risk"},{"key":"2322_CR35","doi-asserted-by":"publisher","first-page":"1443","DOI":"10.1016\/S0378-4266(02)00271-6","volume":"26","author":"RT Rockafellar","year":"2002","unstructured":"Rockafellar, R. T., & Uryasev, S. (2002). Conditional value-at-risk for general loss distributions. Journal of Banking & Finance, 26, 1443\u20131471.","journal-title":"Journal of Banking & Finance"},{"key":"2322_CR36","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718751","volume-title":"Lectures on stochastic programming: Modeling and theory","author":"A Shapiro","year":"2009","unstructured":"Shapiro, A., Dentcheva, D., & Ruszczy\u0144ski, A. (2009). Lectures on stochastic programming: Modeling and theory. Philadelphia, PA: Society for Industrial and Applied Mathematics."},{"key":"2322_CR37","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/s11127-006-7730-3","volume":"127","author":"RS Sobel","year":"2006","unstructured":"Sobel, R. S., & Leeson, P. T. (2006). Government\u2019s response to Hurricane Katrina: A public choice analysis. Public Choice, 127, 55\u201373.","journal-title":"Public Choice"},{"key":"2322_CR38","unstructured":"Staff Correspondent. (2014). Pakistan: LHC seeks reply on \u2018unjust\u2019 distribution of flood relief. Right Vision News."},{"key":"2322_CR39","unstructured":"Swenson, D. (2013). Hurricane Katrina flooding compared to a 500-year storm today: Graphic. The Times-Picayune online. \n                    http:\/\/www.nola.com\/hurricane\/index.ssf\/2013\/08\/hurricane_katrina_floodwater_d.html\n                    \n                   (August 16, 2013). Last Accessed March 27, 2015."},{"key":"2322_CR40","unstructured":"U. G. Survey (2009). Earthquakes with 50,000 or more deaths. \n                    http:\/\/earthquake.usgs.gov\/earthquakes\/world\/most_destructive.php\n                    \n                   (October 26, 2009). Last Accessed December 1, 2013."},{"key":"2322_CR41","unstructured":"World Vision Australia. (2010). A call to action: Haiti at 6 months. \n                    http:\/\/www.worldvision.com.au\/Issues\/Emergencies\/PastEmergencies\/HaitiEarthquakeACallToAction_Haiti6Months.aspx\n                    \n                   (July 12, 2010). Last Accessed April 21, 2015."},{"key":"2322_CR42","doi-asserted-by":"publisher","first-page":"150","DOI":"10.1111\/ijsw.12050","volume":"23","author":"H Zhang","year":"2014","unstructured":"Zhang, H. (2014). Explaining the perceived justice of disaster relief policy: An empirical study based on the 2008 Wenchuan earthquake in China. International Journal of Social Welfare, 23, 150\u2013164.","journal-title":"International Journal of Social Welfare"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10479-016-2322-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-016-2322-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-016-2322-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T15:37:46Z","timestamp":1589729866000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10479-016-2322-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,22]]},"references-count":42,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,3]]}},"alternative-id":["2322"],"URL":"https:\/\/doi.org\/10.1007\/s10479-016-2322-1","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,9,22]]},"assertion":[{"value":"22 September 2016","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}