{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T15:49:07Z","timestamp":1648914547727},"reference-count":20,"publisher":"SAGE Publications","issue":"12","license":[{"start":{"date-parts":[[2016,12,1]],"date-time":"2016-12-01T00:00:00Z","timestamp":1480550400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Distributed Sensor Networks"],"published-print":{"date-parts":[[2016,12]]},"abstract":"<jats:p> In this article, we study secure multipath routing with energy efficiency for a wireless sensor network in the presence of eavesdroppers. We consider two objectives: (1) the multipath routing scheme for maximising the energy efficiency with security constraints and (2) the multipath routing scheme for maximising the secrecy capacity. The binary erasure channel model is adopted to describe the wireless channel states among neighbouring nodes. Based on the binary erasure channel model, the problem of multipath routing degrades to a problem of bit allocation for each path. We formulate the problems and find that the problems are both quasi-convex. For the first one, it is a linear fractional optimisation problem. The optimal solution is obtained by the Charnes\u2013Cooper transformation. For the second one, we propose an iterative algorithm to obtain the [Formula: see text]-optimal solution. The performance analysis shows that the probability of the secure bit allocation increases along with the number of multipaths and decreases along with the number of hops per path and eavesdroppers. Simulation results are presented to illustrate the proposed algorithms. <\/jats:p>","DOI":"10.1177\/1550147716683605","type":"journal-article","created":{"date-parts":[[2017,1,6]],"date-time":"2017-01-06T02:53:11Z","timestamp":1483671191000},"page":"155014771668360","update-policy":"http:\/\/dx.doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Erasure channel modelling\u2013based secure bit allocation schemes for multipath routing in wireless sensor networks"],"prefix":"10.1177","volume":"12","author":[{"given":"Zhenhua","family":"Yuan","sequence":"first","affiliation":[{"name":"State Key Laboratory of Advanced Optical Communication Systems and Networks, Peking University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chen","family":"Chen","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Advanced Optical Communication Systems and Networks, Peking University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ye","family":"Jin","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Advanced Optical Communication Systems and Networks, Peking University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2016,12,14]]},"reference":[{"key":"bibr1-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1016\/S1389-1286(03)00305-0"},{"key":"bibr2-1550147716683605","volume-title":"Multipath routing in mobile ad hoc networks: issues and challenges","author":"Mueller S","year":"2004"},{"key":"bibr3-1550147716683605","first-page":"14","volume-title":"Proceedings of the ninth international conference on network protocols","author":"Marina M"},{"key":"bibr4-1550147716683605","first-page":"3201","volume-title":"Proceedings of the IEEE international conference on Communications (ICC)","volume":"10","author":"Lee SJ"},{"key":"bibr5-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2003.821207"},{"key":"bibr6-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2011.110904"},{"key":"bibr7-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/927659"},{"issue":"9","key":"bibr8-1550147716683605","first-page":"4063","volume":"2","author":"Jawandhiya PM","year":"2010","journal-title":"Int J Eng Sci Tech"},{"key":"bibr9-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.921908"},{"key":"bibr10-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1561\/0100000036"},{"key":"bibr11-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2012.061412.100422"},{"key":"bibr12-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1975.tb02040.x"},{"key":"bibr13-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2014.2307276"},{"key":"bibr14-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1109\/WCL.2014.031114.140018"},{"key":"bibr15-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1007\/s11277-015-2773-8"},{"key":"bibr16-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1109\/35.965371"},{"key":"bibr17-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1109\/TMC.2011.266"},{"key":"bibr18-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1109\/HICSS.2000.926982"},{"key":"bibr19-1550147716683605","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"bibr20-1550147716683605","first-page":"2197","volume-title":"Proceedings of the 58th IEEE vehicular technology Conference (VTC-Fall)","volume":"4","author":"Park M"}],"container-title":["International Journal of Distributed Sensor Networks"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/1550147716683605","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/1550147716683605","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/1550147716683605","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,1,5]],"date-time":"2021-01-05T01:51:12Z","timestamp":1609811472000},"score":1,"resource":{"primary":{"URL":"http:\/\/journals.sagepub.com\/doi\/10.1177\/1550147716683605"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12]]},"references-count":20,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2016,12]]}},"alternative-id":["10.1177\/1550147716683605"],"URL":"https:\/\/doi.org\/10.1177\/1550147716683605","relation":{},"ISSN":["1550-1477","1550-1477"],"issn-type":[{"value":"1550-1477","type":"print"},{"value":"1550-1477","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12]]}}}