{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:39:06Z","timestamp":1740155946828,"version":"3.37.3"},"reference-count":14,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271221"],"award-info":[{"award-number":["11271221"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Operations Research"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>In the survey of the continuous nonlinear resource allocation problem, Patriksson pointed out that Newton-type algorithms have not been proposed for solving the problem of search theory in the theoretical perspective. In this paper, we propose a Newton-type algorithm to solve the problem. We prove that the proposed algorithm has global and superlinear convergence. Some numerical results indicate that the proposed algorithm is promising.<\/jats:p>","DOI":"10.1155\/2013\/513918","type":"journal-article","created":{"date-parts":[[2013,1,31]],"date-time":"2013-01-31T16:01:29Z","timestamp":1359648089000},"page":"1-7","source":"Crossref","is-referenced-by-count":4,"title":["A Newton-Type Algorithm for Solving Problems of Search Theory"],"prefix":"10.1155","volume":"2013","author":[{"given":"Liping","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"1999","key":"5"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2006.12.006"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.11.044"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1155\/S168712000402009X"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.11.033"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1080\/02331939208843795"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.04.088"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2011.10.007"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1137\/0315061"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1287\/moor.24.2.440"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01581275"},{"year":"1983","key":"3","first-page":"xiii+308"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-98-00932-6"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1287\/moor.18.1.227"}],"container-title":["Advances in Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2013\/513918.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2013\/513918.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2013\/513918.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T10:44:39Z","timestamp":1469875479000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/aor\/2013\/513918\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":14,"alternative-id":["513918","513918"],"URL":"https:\/\/doi.org\/10.1155\/2013\/513918","relation":{},"ISSN":["1687-9147","1687-9155"],"issn-type":[{"type":"print","value":"1687-9147"},{"type":"electronic","value":"1687-9155"}],"subject":[],"published":{"date-parts":[[2013]]}}}