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By formulating the sleep mode control problem into the framework of a standard 0\/1 knapsack problem, then a dynamic programming scheme for solving the sleeping on\/off mode for PBS in heterogeneous networks was investigated. The complexity of the proposed scheme is only in linear order instead of exponential complexity with conventional scheme. Furthermore, the proposed algorithm is verified in dynamic traffic environment, which consists of two kinds of hot\u2010spot area covered by PBSs. The simulation results show that the proposed scheme can effectively save the system energy consumption during the period of low traffic load. Copyright \u00a9 2015 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/dac.2967","type":"journal-article","created":{"date-parts":[[2015,4,13]],"date-time":"2015-04-13T09:51:05Z","timestamp":1428918665000},"source":"Crossref","is-referenced-by-count":15,"title":["Dynamic programming\u2010based pico base station sleep mode control in heterogeneous networks"],"prefix":"10.1002","volume":"30","author":[{"ORCID":"https:\/\/summer-heart-0930.chufeiyun1688.workers.dev:443\/https\/orcid.org\/0000-0002-8306-2076","authenticated-orcid":false,"given":"Gang","family":"Wu","sequence":"first","affiliation":[{"name":"National Key Laboratory of Science and Technology on Communications University of Electronic Science and Technology of China Xiyuan Avenue 2006, High\u2010Tech West Zone Chengdu Sichuan 611731 China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"Dong","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Science and Technology on Communications University of Electronic Science and Technology of China Xiyuan Avenue 2006, High\u2010Tech West Zone Chengdu Sichuan 611731 China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhenting","family":"Qin","sequence":"additional","affiliation":[{"name":"Chengdu Huawei Research Center Huawei Technology Co. 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