{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T21:09:45Z","timestamp":1743109785992,"version":"3.40.3"},"publisher-location":"Boston, MA","reference-count":26,"publisher":"Springer US","isbn-type":[{"type":"print","value":"9780387747583"},{"type":"electronic","value":"9780387747590"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-0-387-74759-0_249","type":"book-chapter","created":{"date-parts":[[2008,8,25]],"date-time":"2008-08-25T11:01:26Z","timestamp":1219662086000},"page":"1423-1427","source":"Crossref","is-referenced-by-count":1,"title":["Global Optimization in Weber\u2019s Problem with Attraction and Repulsion"],"prefix":"10.1007","author":[{"given":"Costas D.","family":"Maranas","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"249_CR1_249","first-page":"1","volume":"484","author":"E. Balas","year":"1982","unstructured":"Balas E, Yu CS (1982) A\u00a0note on the Weiszfeld\u2013Kuhn algorithm for the general Fermat problem. Managem Sci Res Report 484:1\u20136","journal-title":"Managem. Sci. Res. Report"},{"key":"249_CR2_249","doi-asserted-by":"publisher","first-page":"512","DOI":"10.1137\/0901037","volume":"1","author":"P.H. Calamai","year":"1980","unstructured":"Calamai PH, Conn AR (1980) A\u00a0stable algorithm for solving the multifacility location problem involving Euclidean distances. SIAM J Sci Statist Comput 1:512\u2013526","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"249_CR3_249","doi-asserted-by":"crossref","unstructured":"Calamai PH, Conn AR (1982) A\u00a0second-order method for solving the continuous multifacility location problem. In: Numerical Analysis. Proc. 9th Biennial Conf. Dundee, Scotland, pp 1\u201325","DOI":"10.1007\/BFb0093145"},{"key":"249_CR4_249","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1007\/BF02591853","volume":"38","author":"P.H. Calamai","year":"1987","unstructured":"Calamai PH, Conn AR (1987) A\u00a0projected Newton method for lp norm location problems. Math Program 38:75\u2013109","journal-title":"Math. Program."},{"key":"249_CR5_249","doi-asserted-by":"crossref","unstructured":"Chen P-C, Hansen P, Jaumard B, Tuy H (1992) Weber's problem with attraction and repulsion. J\u00a0Reg Sci","DOI":"10.1111\/j.1467-9787.1992.tb00200.x"},{"key":"249_CR6_249","first-page":"87","volume":"29","author":"Z. Drezner","year":"1991","unstructured":"Drezner Z, Wesolowsky GO (1991) The Weber problem on the plane with some negative weights. INFOR 29:87\u201399","journal-title":"INFOR"},{"key":"249_CR7_249","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02598-7","volume-title":"Global optimization, deterministic approaches","author":"R. Horst","year":"1990","unstructured":"Horst R, Tuy H (1990) Global optimization, deterministic approaches. Springer, Berlin"},{"key":"249_CR8_249","first-page":"38","volume-title":"Nonlinear Programming","author":"H.W. Kuhn","year":"1967","unstructured":"Kuhn HW (1967) On a\u00a0pair of dual nonlinear programs. Nonlinear Programming. North-Holland, Amsterdam, pp\u00a038\u201354"},{"key":"249_CR9_249","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1007\/BF01584648","volume":"4","author":"H.W. Kuhn","year":"1973","unstructured":"Kuhn HW (1973) A\u00a0note on Fermat's problem. Math Program 4:94\u2013107","journal-title":"Math. Program."},{"key":"249_CR10_249","first-page":"52","volume-title":"Studies in Optimization","author":"H.W. Kuhn","year":"1974","unstructured":"Kuhn HW (1974) Steiner's problem revisited. In: Studies in Optimization. Math. Assoc. America, Washington, DC, pp\u00a052\u201370"},{"key":"249_CR11_249","first-page":"259","volume-title":"Proc. Large Scale Optimization: State of the Art Conf., Florida Univ., 15-17 Feb. 1993","author":"CD Maranas","year":"1993","unstructured":"Maranas CD, Floudas CA (1993) A\u00a0global optimization method for Weber's problem with attraction and repulsion. In: Proc. Large Scale Optimization: State of the Art Conf., Florida Univ., 15-17 Feb. 1993. Kluwer, Dordrecht, pp 259\u2013293"},{"key":"249_CR12_249","doi-asserted-by":"publisher","first-page":"597","DOI":"10.1287\/opre.26.4.597","volume":"26","author":"L.M. Ostresh","year":"1978","unstructured":"Ostresh LM (1978) On the convergence of a\u00a0class of iterative methods for solving the Weber location problem. Oper Res 26:597\u2013609","journal-title":"Oper. Res."},{"key":"249_CR13_249","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1007\/BF02591963","volume":"27","author":"M.L. Overton","year":"1983","unstructured":"Overton ML (1983) A\u00a0quadratically convergent method for minimizing a\u00a0sum of Euclidean norms. Math Program 27:34\u201363","journal-title":"Math. Program."},{"key":"249_CR14_249","unstructured":"Plastria F (1992) The effects of majority in Fermat\u2013Weber problems with attraction and repulsion. YUGOR 1"},{"key":"249_CR15_249","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1287\/ijoc.3.3.207","volume":"3","author":"J.B. Rosen","year":"1991","unstructured":"Rosen JB, Xue G-L (1991) Computational comparison of two algorithms for the Euclidean single facility location problem. ORSA J Comput 3:207\u2013212","journal-title":"ORSA J. Comput."},{"key":"249_CR16_249","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1111\/j.1538-4632.1972.tb00472.x","volume":"4","author":"L.-N. Tellier","year":"1972","unstructured":"Tellier L-N (1972) The Weber problem: Solution and interpretation. Geographical Anal 4:215\u2013233","journal-title":"Geographical Anal."},{"key":"249_CR17_249","volume-title":"\u00c9conomie patiale: rationalit\u00e9e \u00e9conomique de l'espace habit\u00e9","author":"L.-N. Tellier","year":"1985","unstructured":"Tellier L-N (1985) \u00c9conomie patiale: rationalit\u00e9e \u00e9conomique de l'espace habit\u00e9. Ga\u00e9tan Morin, Chicoutimi, Qu\u00e9bec"},{"key":"249_CR18_249","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1111\/j.1467-9787.1989.tb01385.x","volume":"29","author":"L.-N. Tellier","year":"1989","unstructured":"Tellier L-N (1989) The Weber problem: frequency of different solution types and extension to repulsive forces and dynamic processes. J\u00a0Reg Sci 29:387\u2013405","journal-title":"J. Reg. Sci."},{"key":"249_CR19_249","unstructured":"Tellier L-N, Ceccaldi X (1983) Phenomenes de polarization et de repulsion dans le context du probleme de Weber. Canad Regional Sci Assoc"},{"key":"249_CR20_249","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/BF00121302","volume":"2","author":"H. Tuy","year":"1992","unstructured":"Tuy H, Al-Khayyal FA (1992) Global optimization of a\u00a0nonconvex single facility problem by sequential unconstrained convex minimization. J\u00a0Global Optim 2:61\u201371","journal-title":"J. Global Optim."},{"key":"249_CR21_249","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/BF00121302","volume":"2","author":"H. Tuy","year":"1995","unstructured":"Tuy H, Al-Khayyal FA, Zhou F (1995) A\u00a0D.C. optimization method for single facility location problems. J\u00a0Global Optim 2:61\u201371","journal-title":"J. Global Optim."},{"key":"249_CR22_249","first-page":"14","volume":"2","author":"C.Y. Wang","year":"1975","unstructured":"Wang CY (1975) On the convergence and rate of convergence of an iterative algorithm for the plant location problem. Qufu Shiyun Xuebao 2:14\u201325","journal-title":"Qufu Shiyun Xuebao"},{"key":"249_CR23_249","first-page":"355","volume":"43","author":"E. Weiszfeld","year":"1937","unstructured":"Weiszfeld E (1937) Sur le point pour lequel la somme des distances de n points donn\u00e9s est minimum. T\u00f4hoku Math\u00a0J 43:355\u2013386","journal-title":"T\u00f4hoku Math. J."},{"key":"249_CR24_249","unstructured":"Witzgall C (1984) Optimal location of a\u00a0single facility: Mathematical models and concepts. Report Nat Bureau Standards 8388"},{"issue":"3","key":"249_CR25_249","first-page":"15","volume":"13","author":"G.-L. Xue","year":"1987","unstructured":"Xue G-L (1987) A\u00a0fast convergent algorithm for $$ {  \\text{min} \\sum_{\\text i = 1}^{\\text m} \\parallel {\\text x} - {\\text a}_{\\text i} \\parallel } $$ on a\u00a0closed convex set. J\u00a0Qufu Normal Univ 13(3):15\u201320","journal-title":"J. Qufu Normal Univ."},{"key":"249_CR26_249","first-page":"65","volume":"12","author":"G.-L. Xue","year":"1989","unstructured":"Xue G-L (1989) A\u00a0globally and quadratically convergent algorithm for $$ {  \\text{min} \\sum_{\\text i = 1}^{\\text m} \\parallel {\\text x} - {\\text a}_{\\text i} \\parallel } $$ type plant location problem. Acta Math Applic Sinica 12:65\u201372","journal-title":"Acta Math. Applic. Sinica"}],"container-title":["Encyclopedia of Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-0-387-74759-0_249","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T10:07:09Z","timestamp":1720692429000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-0-387-74759-0_249"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9780387747583","9780387747590"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-0-387-74759-0_249","relation":{},"subject":[],"published":{"date-parts":[[2008]]}}}