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1、JournalofComputerApplicationsISSN10o1—90812015—06.1O計算機應(yīng)用,2015,35(6):1546—1551CODENJYIIDUhttp://www.joca.cn文章編號:1001—9081(2015)06—1546-06doi:10.11772/j.issn.1001-9081.2015.06.1546多源多宿組播網(wǎng)絡(luò)編碼的可達信息率區(qū)域蒲保興,朱鴻鵬,趙乘麟(邵陽學(xué)院激光與信息研究所,湖南邵陽422001)(通信作者電子郵箱52872485@qq.com)摘要:為了解決多源
2、多宿組播網(wǎng)絡(luò)編碼問題,提出了計算可達信息率區(qū)域的算法和構(gòu)造線性網(wǎng)絡(luò)編碼的方法。在已有研究的基礎(chǔ)上,把多源多宿組播網(wǎng)絡(luò)編碼問題轉(zhuǎn)化為一個含有約束的單源組播網(wǎng)絡(luò)編碼問題,通過理論分析與推導(dǎo),找出了各源點組播率之間的相互約束關(guān)系,進而構(gòu)造了一個多目標(biāo)優(yōu)化模型來表征可達信息率區(qū)域的邊界,提出了兩種求解該多目標(biāo)優(yōu)化問題的方法:枚舉法和基于遺傳算法的多目標(biāo)優(yōu)化算法。從求出的Pareto邊界可以導(dǎo)出可達信息率區(qū)域。選定了各源點的組播率后,通過求解含有約束的單源組播網(wǎng)絡(luò)編碼問題便可以構(gòu)造出線性網(wǎng)絡(luò)編碼方案。仿真測試結(jié)果表明提出的方法可以求出可達
3、信息率區(qū)域的整數(shù)點邊界,并能構(gòu)造線性網(wǎng)絡(luò)編碼方案。關(guān)鍵詞:多源多宿組播;可達信息率區(qū)域;單源組播;網(wǎng)絡(luò)編碼;多目標(biāo)優(yōu)化中圖分類號:TN919.03;TP393.O1文獻標(biāo)志碼:AAchievableinformationrateregionofmulti-sourcemulti-sinkmulticastnetworkcodingPUBaoxing,ZHUHongpeng’,ZHAOChenglin(InstituteofLaserTechnologyandInformation,ShaoyangUniversity,Shaoy
4、angHunan422001,China)Abstract:Inordertosolvetheproblemofmulti-sourcemulti—sinkmuhicastnetworkcoding,analgorithmforcomputingachievableinformationrateregionandanapproachforconstructinglinearnetworkcodingschemewereproposed.Basedonthepreviousstudies,themulti-sourcemulti—
5、sinkmuhicastnetworkcodingproblemWastransformedintoaspecificsingle—sourcemuhicastnetworkcodingscenariowithaconstraintatthesourcenode.Bytheoreticalanalysesandformuladerivation,theconstraintrelationshipamongthemuhicastrateofsourcenodeswasfoundout.Thenamulti-objectiveopt
6、imizationmodelwasconstructedtodescribetheboundaryofachievableinformationrateregion.Twomethodswerepresentedforsolvingthismode1.OneWastheenumerationmethod,theotherwasmulti—objectiveoptimizationmethodbasedongeneticalgorithm.Theachievableinformationrateregioncouldbederiv
7、edfromParetoboundaryofthemulti-objectiveoptimizationmode1.Afterassigningthemuhicastrateofsourcenodes,thelinearnetworkcodingschemecouldbeconstructedbyfiguringoutthesingle—sourcemuhicastnetworkcodingscenariowithaconstraint.Thesimulationresultsshowthattheproposedmethods
8、Canfindouttheboundaryofachievableinformationrateregionincludingintegralpointsandconstructlinearnetworkcodingscheme.Keywords:multi·s