{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:43:47Z","timestamp":1740141827802,"version":"3.37.3"},"reference-count":22,"publisher":"SAGE Publications","issue":"11","license":[{"start":{"date-parts":[[2014,11,1]],"date-time":"2014-11-01T00:00:00Z","timestamp":1414800000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"name":"China 863 Program","award":["2013AA01A601","IRT1158, PCSIRT"],"award-info":[{"award-number":["2013AA01A601","IRT1158, PCSIRT"]}]},{"name":"Program for Changjiang Scholars and Innovative Research Team in University","award":["2013AA01A601","IRT1158, PCSIRT"],"award-info":[{"award-number":["2013AA01A601","IRT1158, PCSIRT"]}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Distributed Sensor Networks"],"published-print":{"date-parts":[[2014,11,1]]},"abstract":"<jats:p> The limited radio spectrum has become a bottleneck for various wireless communications. To better utilize the scare radio spectrum, cognitive radios have recently attracted increasing attention, which makes spectrum sharing more viable. Sharing radio spectrum from primary users to secondary users is of great importance. A licensed primary user (PU) can lease its spectrum to secondary users (SUs) for wireless communications. This paper studies the problem of social welfare maximization of distributed spectrum sharing among a PU and SUs. We first formulate the problem of social welfare maximization which takes into account both the cost of the PU and the utility gained by each SU. The social welfare maximization is a convex optimization problem and thus can be solved by a centralized algorithm. However, the utility function of each SU may contain the private information. To avoid privacy leakage of SUs, we propose an iterative distributed algorithm based on a pricing-based decomposition framework. It is theoretically proved that our algorithm converges to the optimal solution. Simulation results are presented to show that our algorithm achieves the optimal social welfare and converges quickly in a practical setting. <\/jats:p>","DOI":"10.1155\/2014\/262137","type":"journal-article","created":{"date-parts":[[2014,11,25]],"date-time":"2014-11-25T21:00:40Z","timestamp":1416949240000},"page":"262137","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Distributed Spectrum Sharing in Cognitive Radio Networks: A Pricing-Based Decomposition Approach"],"prefix":"10.1177","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6406-4992","authenticated-orcid":false,"given":"Yanmin","family":"Zhu","sequence":"first","affiliation":[{"name":"Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"},{"name":"Shanghai Key Laboratory of Scalable Computing and Systems, Shanghai 200240, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1349-6135","authenticated-orcid":false,"given":"Wei","family":"Sun","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0207-9643","authenticated-orcid":false,"given":"Jiadi","family":"Yu","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}]},{"given":"Tong","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"}]},{"given":"Bo","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China"},{"name":"Hong Kong University of Science and Technology, Sai Kung, Hong Kong"}]}],"member":"179","published-online":{"date-parts":[[2014,11,25]]},"reference":[{"key":"B5-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/18.825799"},{"key":"B10-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/98.788210"},{"key":"B7-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2004.839380"},{"key":"B19-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.361604"},{"key":"B17-2014-262137","unstructured":"Yu W.Competition and cooperation in multi-user communication environments [Ph.D. thesis]2002Stanford University"},{"volume-title":"Radio Resource Management for Wireless Networks","year":"2001","author":"Zander J.","key":"B18-2014-262137"},{"key":"B12-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/WCNC.2007.9"},{"key":"B16-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2009.2034630"},{"key":"B6-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/WCNC.2007.8"},{"key":"B13-2014-262137","doi-asserted-by":"publisher","DOI":"10.1007\/s11036-006-7322-y"},{"volume-title":"Proceedings of the IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks","author":"Ileri O.","key":"B8-2014-262137"},{"key":"B11-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2013.6566945"},{"key":"B21-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/INFOCOM.2007.108"},{"key":"B9-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2012.6195731"},{"key":"B20-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2012.120514"},{"key":"B22-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/TPDS.2013.118"},{"key":"B4-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2009.5062085"},{"key":"B15-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/INFOCOM.2008.186"},{"key":"B14-2014-262137","doi-asserted-by":"publisher","DOI":"10.1109\/DYSPAN.2005.1542624"},{"key":"B3-2014-262137","doi-asserted-by":"publisher","DOI":"10.1007\/BF01073404"},{"key":"B2-2014-262137","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"volume-title":"Convex Analysis and Optimization","year":"2003","author":"Bertsekas D. 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