{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T14:27:02Z","timestamp":1759847222788},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,6,13]],"date-time":"2006-06-13T00:00:00Z","timestamp":1150156800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["CMS"],"published-print":{"date-parts":[[2006,11,10]]},"DOI":"10.1007\/s10287-006-0021-0","type":"journal-article","created":{"date-parts":[[2006,6,12]],"date-time":"2006-06-12T09:09:28Z","timestamp":1150103368000},"page":"1-16","source":"Crossref","is-referenced-by-count":38,"title":["Equity Models in Planar Location"],"prefix":"10.1007","volume":"4","author":[{"given":"Tammy","family":"Drezner","sequence":"first","affiliation":[]},{"given":"Zvi","family":"Drezner","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2006,6,13]]},"reference":[{"key":"21_CR1","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1080\/02331930290019422","volume":"51","author":"F Al-Khayyal","year":"2002","unstructured":"Al-Khayyal F, Tuy H, Zhou F (2002) Large-scale single facility continuous location by D.C. optimization.\u201d Optimization 51:271\u2013292","journal-title":"Optimization"},{"key":"21_CR2","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1007\/PL00003997","volume":"54","author":"E Carrizosa","year":"2001","unstructured":"Carrizosa E (2001) An optimal bound for d.c. programs with convex constraints. Math Methods Oper Res 54:47\u201351","journal-title":"Math Methods Oper Res"},{"key":"21_CR3","doi-asserted-by":"crossref","first-page":"680","DOI":"10.1287\/moor.23.3.680","volume":"23","author":"E Carrizosa","year":"1998","unstructured":"Carrizosa E, Plastria F (1998) Locating an undesirable facility by generalized cutting planes. Math Oper Res 23:680\u2013694","journal-title":"Math Oper Res"},{"key":"21_CR4","first-page":"41","volume":"1","author":"Z Drezner","year":"1998","unstructured":"Drezner Z (1998) Finding whether a point is inside a polygon and its application to forbidden regions. J Manage Sci & Reg Dev 1:41\u201348","journal-title":"J Manage Sci & Reg Dev"},{"key":"21_CR5","doi-asserted-by":"crossref","first-page":"899","DOI":"10.1068\/c13r","volume":"22","author":"T Drezner","year":"2004","unstructured":"Drezner T (2004) Location of casualty collection points. Environ Plan C 22:899\u2013912","journal-title":"Environ Plan C"},{"key":"21_CR6","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s10287-004-0009-6","volume":"1","author":"T Drezner","year":"2004","unstructured":"Drezner T, Drezner Z (2004) Finding the optimal solution to the huff competitive location model. Comput Manage Sci 1:193\u2013208","journal-title":"Comput Manage Sci"},{"key":"21_CR7","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1016\/S0377-2217(01)00168-0","volume":"142","author":"T Drezner","year":"2002","unstructured":"Drezner T, Drezner Z, Salhi S (2002) Solving the multiple competitive facilities location problem. Euro J Oper Res 142:138\u2013151","journal-title":"Euro J Oper Res"},{"key":"21_CR8","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1057\/palgrave.jors.2602047","volume":"58","author":"T Drezner","year":"2006","unstructured":"Drezner T, Drezner Z, Salhi S (2006) A multi-objective heuristic approach for the casualty points location problem. J Oper Res Soc 58:727\u2013734","journal-title":"J Oper Res Soc"},{"key":"21_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-56082-8","volume-title":"Facility location: applications and theory","author":"Z Drezner","year":"2002","unstructured":"Drezner Z, Klamroth K, Sch\u00f6bel A, Wesolowsky GO (2002). The weber problem. In: Drezner Z, Hamacher H (eds). Facility location: applications and theory. Springer, Berlin Heidelberg New York"},{"key":"21_CR10","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1287\/opre.1030.0077","volume":"52","author":"Z Drezner","year":"2004","unstructured":"Drezner Z, Suzuki A (2004) The big triangle small triangle method for the solution of non-convex facility location problems. Oper Res 52:128\u2013135","journal-title":"Oper Res"},{"key":"21_CR11","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1111\/j.1467-9787.1986.tb00333.x","volume":"26","author":"Z Drezner","year":"1986","unstructured":"Drezner Z, Thisse J-F, Wesolowsky GO (1986) The minimax-min location problem. J Reg Sci 26:87\u2013101","journal-title":"J Reg Sci"},{"key":"21_CR12","doi-asserted-by":"crossref","unstructured":"Eiselt HA, Laporte G (1995). Objectives in locations problems. Ch. 9. In: Facility location: a survey of applications and methods, Drezner Z (ed), Springer, Berlin Heidelberg, New York, pp 151\u2013180","DOI":"10.1007\/978-1-4612-5355-6_9"},{"key":"21_CR13","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1287\/trsc.6.4.379","volume":"6","author":"DJ Elzinga","year":"1972","unstructured":"Elzinga DJ, Hearn DW (1972) Geometrical solutions for some minimax location problems. Transportation Sci 6:379\u2013394","journal-title":"Transportation Sci"},{"key":"21_CR14","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1287\/opre.12.3.450","volume":"12","author":"SL Hakimi","year":"1964","unstructured":"Hakimi SL (1964) Optimal location of switching centers and the absolute centers and medians of a graph. Oper Res 12:450\u2013459","journal-title":"Oper Res"},{"key":"21_CR15","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1287\/opre.13.3.462","volume":"13","author":"SL Hakimi","year":"1965","unstructured":"Hakimi SL (1965) Optimum distribution of switching centers in a communication network and some related graph theoretic problems. Oper Res 13:462\u2013475","journal-title":"Oper Res"},{"key":"21_CR16","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/s10589-005-4615-1","volume":"30","author":"S Kucherenko","year":"2004","unstructured":"Kucherenko S, Sytsko Y (2004) Applications of deterministic low-discrepency sequences to nonlinear global optimization problems. Comput Optim Appl 30:297\u2013318","journal-title":"Comput Optim Appl"},{"key":"21_CR17","unstructured":"Love RF, Morris JG, Wesolowsky GO (1988) Facilities location: models and methods. North Holland Amsterdam"},{"key":"21_CR18","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/BF02026822","volume":"6","author":"O Maimon","year":"1986","unstructured":"Maimon O (1986) The variance equity measure in locational decision theory. Ann Oper Res 6:147\u2013160","journal-title":"Ann Oper Res"},{"key":"21_CR19","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1016\/0196-6774(88)90018-1","volume":"9","author":"O Maimon","year":"1988","unstructured":"Maimon O (1988) An algorithm for the lorenz measure in locational decisions on trees. J Algorithms 9:583\u2013596","journal-title":"J Algorithms"},{"key":"21_CR20","doi-asserted-by":"crossref","unstructured":"Maranas CD, Floudas CA (1994) A global optimization method for weber\u2019s problem with attraction and repulsion. In: Large scale optimization: state of the art. Hager WW, Hearn DW, Pardalos PM (eds) Kluwer, Dordrecht","DOI":"10.1007\/978-1-4613-3632-7_14"},{"key":"21_CR21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0377-2217(94)90200-3","volume":"74","author":"M Marsh","year":"1994","unstructured":"Marsh M, Schilling D (1994) Equity measurement in facility location analysis: a review and framework. Euro J Oper Res 74:1\u201317","journal-title":"Euro J Oper Res"},{"key":"21_CR22","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1137\/1012016","volume":"12","author":"E Minieka","year":"1970","unstructured":"Minieka E (1970) The m-Center problem. SIAM Rev 12:138\u2013139","journal-title":"SIAM Rev"},{"key":"21_CR23","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1016\/S0377-2217(02)00833-0","volume":"151","author":"N Mladenovic","year":"2003","unstructured":"Mladenovic N, Petrovic J, Kovacevic-Vojcic V, Cangalovic M (2003) Solving a spread-spectrum radar polyphase code designproblem by tabu search and variable neighborhood search. Eur J Oper Res 151:389\u2013399","journal-title":"Eur J Oper Res"},{"key":"21_CR24","doi-asserted-by":"crossref","DOI":"10.1002\/9780470317013","volume-title":"Spatial tessellations: concepts and applications of voronoi diagrams","author":"A Okabe","year":"2000","unstructured":"Okabe A, Boots B, Sugihara K, Chin S-N (2000) Spatial tessellations: concepts and applications of voronoi diagrams. 2nd edn. Wiley, Chichester","edition":"2"},{"key":"21_CR25","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-5321-2","volume-title":"Locating lines and hyperplanes: theory and algorithms","author":"A Sch\u00f6ber","year":"1999","unstructured":"Sch\u00f6ber A (1999) Locating lines and hyperplanes: theory and algorithms. Kluwer, Dordrecht"},{"key":"21_CR26","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1023\/A:1008277314050","volume":"12","author":"AS Strekalovsky","year":"1998","unstructured":"Strekalovsky AS (1998) Global optimality conditions for nonconvex optimization. J Global Optim 12:415\u2013434","journal-title":"J Global Optim"},{"key":"21_CR27","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1023\/B:AURC.0000019368.45522.7a","volume":"65","author":"AS Strekalovsky","year":"2004","unstructured":"Strekalovsky AS, Yakovleva TV (2004) On a local and global search involved in nonconvex optimization problems. Autom Remote Control 65:375\u2013387","journal-title":"Autom Remote Control"},{"key":"21_CR28","first-page":"79","volume":"1","author":"JJ Sylvester","year":"1857","unstructured":"Sylvester JJ (1857) A question in the geometry of situation. Q J Pure Appl Math 1:79","journal-title":"Q J Pure Appl Math"},{"key":"21_CR29","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/BF01097061","volume":"7","author":"H Tuy","year":"1995","unstructured":"Tuy H, Al-Khayyal F, Zhou F (1995) A D.C. optimization method for single facility location problems. J Global Optim 7:209\u2013227","journal-title":"J Global Optim"},{"key":"21_CR30","unstructured":"Weber A (1909) \u00dcBer Den Standort Der Industrien, 1. Teil: Reine Theorie Des Standortes, T\u00fcbingen, Germany. (English Translation by C. J. Friedeich (1957), Theory of the Location of Industries, Chicago University Press, Chicago.)"}],"container-title":["Computational Management Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10287-006-0021-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10287-006-0021-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10287-006-0021-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T08:12:46Z","timestamp":1559117566000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10287-006-0021-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,6,13]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,11,10]]}},"alternative-id":["21"],"URL":"https:\/\/doi.org\/10.1007\/s10287-006-0021-0","relation":{},"ISSN":["1619-697X","1619-6988"],"issn-type":[{"value":"1619-697X","type":"print"},{"value":"1619-6988","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,6,13]]}}}