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Aiming at the essence of satellite selection, its become a single constrained optimization problem. In some combinatorial optimization problem, such as satellite selection, a specified number of the 0-gene or the 1-gene is one of the constrained conditions based on genetic algorithm (GA). And it is difficult to adapt he constrained demand of genes number for some existing crossover operators. A novel crossover operator, called mutation crossover (MX), is proposed for the genes number. In the new crossover operator, firstly, the initial offspring are generated only by interchanging 1-gene or 0-gene, and then, the legalize offspring, namely the offspring which meet the constrained condition, are obtained by the mode of mutation. The experimentation results show that the efficiency of the new crossover operator is validated by the application of satellite selection of multi-constellations satellite navigation system based on genetic algorithm. At the same time, the computation load of satellite selection is less, and the method is simple and rapid. And it is satisfied to the real-time capability of satellite selection of GNSS. Keywords: Global Navigation Satellite System (GNSS); genetic algorithm (GA); crossover operator; geometric dilution of precision (GDOP); satellite selection 0 _ vMR,NLu N]~X[(Wv$N'YhQtkSf[*|~/fVvGPSTOWevGLONASS,'kvv=O)ReuGALILEO |~T-NVvSe[*kSf|~{y:NBDS I{ck(Wygy{^0 NENv\eg,ُN|~\qQ T~bhQt[*kSf|~Global Navigation Satellite System,{y:NGNSS 00Re,hQt[*kSf\ gN~vY,YkSf[*|~v~T[*Rb_6q0 @wSkSfpevXR [*[MOvЏ{ϑ_N\OKNb PX yr+R/f[ؚR`(u7b :NNO[eYtvBl [c6e:gYthV^vBl1\f/f'Y'Ycؚ N 'Y'YXRc6e:gb,g0Vdk (W[E[*[MO-N :NNQ{c6e:gvYtb (WO[*[MO|^vMRc N SN'YϑSf-N SQUO^@\OvkSf~TۏL[*[MOOS[1] fb:NNeegYf^TT[*[MO-NkSf[*^(uxvzNXTv͑0:NN_NyS[EO(uv gHeGNSSf^ b f el ,geNf^ bv[(QS \ flbc:N~TOS0cQNNyevW O{l-NvNS{P[ v^\KN^(uNGNSSf^ bBl Ǐ[N@bcelv gHe'`0 1 fvpef[lbc (WkSf[*[MO|~-N [*[MO|^OVNQUO|^q_P[GDOP, Geometric Dilution of Precision T*Oݍ][2] (Wc6e:gv[EO(u-N GDOP/fSvcBl㉄v *Oݍ]tSS_0R~f6q SۏNekǑ(uNۏ6R2NxeHheg[ fۏLc sS\kkSf:NN*NWV (uegh:ykSf eQN&TvhƋ /fN*NNۏ6RSϑ 1WV hfkSf eQ 0WV hfkSf*g eQ0@b gSf cz^ۏLc gNOMOh:y,{1SkSf0N GNSSf^ bOSR_~:N~TOS SNǑ(uTvvhOSd"}{lYW O{leg0R fvvv0 2 W O{l-NeNS{P[v W O{lGenetic Algorithm, GA /fNyWNuir6q bNW O:gtv:gOSd"}{l [3-6] (W~TOS-N_N^l^(u0(WW O{l-N NS{P[/fW O{l-Nv;NۏSe_ W O{lv'`(W_'Y z^ NSQNǑ(uvNSЏ{v'`[3,7]0Vdk (WǑ(uW O{l㉳Q[Ee_{N~ bNNS{P[0 :NN gHe㉳Q~TOS NNcQNYNS{P[[3,8,9]0Y R f\NSPartially Mapped Crossover, PMX GoldbergTLingle 1985 [3] z^NSOrder Crossover, OX Divis 1985 [3] _sNSCycle Crossover, CX OliverI{ 1987 [3] X:_z^NSEnhanced Order Crossover, EOX Yi ShangTGuojie Li, 1991 [8] pQmTNSFanchen SuI{ 2009 [9] I{I{06q bN(W^(uW O{l㉳QkSf[*c6e:g-Nv gsQY f eSs S_Bl-N[gyWVsS0WVb1WV vpeϑ gyr+RBlv:WT vMRvNNNS{P[(W^(uNُN:WTe NuvTN8^/f^lTN :NN[sTNTlS 1\YvYd\O Neb [MNONBlHes SNeb _NO[NSd\O1YSvQ^ gv\O(u gSOte*NW O{lSbNy~:gd"}e_0Vdk :NN gHe\W O{l^(uNGNSS fBl TvNS{P[0 (WW O{l-N NNSpv bb__eg w knfMvNSe_ gUSpNS0$NpNSTNNS Teg NNScQNNN N Tve_ YWsNS(Circle-ring Crossover)Zhang Liang-JieI{,1995 [11]0WN||ƖvNS(RSO)[12]I{I{0Q0R(W fBl-N fpe\ NSSSu(W] kSfKN SNeb USpb$NpNSe_Bl㉀{US Џ{ϑ\N^(unfM Vdk bN(WǑ(uW O{lۏL fBle Ǒ(uN$NpNSe_0 Te :NN gHe)R(uW O{l[sGNSS fBl ,gecQNNyevNS{P[ (W勗{P[e Ǒ(uS_vel[sTNvTlS Vdk bNyKN:NS_NSMX Mutation Crossover . 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