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Обобщени Теормы ОБ Аналитическом Виде Характерицтик ОБоБщенных Однолинейних Систем Массобого ОбслуживанияДня Одного ТипаПроритетных Систем

Обобщени Теормы ОБ Аналитическом Виде Характерицтик ОБоБщенных Однолинейних Систем Массобого... Acta Mathematica Academiae Scientiarum Hungaricae Tomus 25 (1--2), (1974), pp. 55--60. OBOBIIIEHHE TEOPEMbI OB AHAJ1HTHqECKOM BH~E XAPAKTEPHCTHK OBOBIKEHHblX O~HO.IIHHEITIHblX CHCTEM MACCOBOFO OBCYIVXZHBAHHSI ):15151 O~HOFO THHA HPHOPHTETHblX CHCTEM 3I. 31AKATOIlI (E,y~anemT) I. BBe~Iem~e B KHare ]3. B. FHe)~eHKO 11I H. H. KOBaneHKo ,,BBe;~eaae B Teopmo MaccoBoro 06c~y~BaHa~" 6t,i~a paccMoTpeHa n ;~ora3a~a TeopeMa 06 aHa~r~TaqeCKOM B~e xapaKTep~tcTrm o6o6meI~n~rx o;moammfim,IX CHCTeM Macco~oro 06c~y;~HBaH~, ~e~CTBHe KOTOpBIX OnnCBIBaeTc~I KyCOqr{O-Yig~-Ie~HbIM MapKOBCERM r~po~eccoM. HanoM~mV~, ~TO KyCOqrlO-YirtHe~rII, IM IIpo~eccoM Ha3bIBaeTc~ MapKoBCKH~ cyiy- ,~a~rmr~ npo~ecc (1) ~(t) = {v(t); ~(t), ~(t), .., r r)Ie v(t)CN (N xorlemioe rain c~6~oe MnoZCeCTBO) ;mcrpeTrm~ roMnoneHTa. Kax~oMy v CN conoczaB~eno B COOTBeTCTBae ~eoTp~aTe~r~noe ~e~oe ~c~o Ivt. )~ r~y~eBoro COCTOm-ms v=0: Iv/=0, ~ ocTam~rmIx Ivl >0. ~j(t) -- r~enpep~i~- HbIe KOMnOHeHTBI. HocaIe HeKoToporo HaqaYlbHoro MOMeHTa ((t) H3MeF[~IeTr COOTBeTCTBrm C CTaT~CTnqec~H~t 3aI<OHOM" ;%YI~I ra:~;~oro v # 0 3a)~an nocwoar~rm~ BerTop o~ v -= {o%, O~v~ , ..., ~vt,,t}" B v(t)=v r~epeMemn,m ~i(t), 1 <=j<--lvl y6~,marov co cKopoCT~MH, pasH~t~n COOT- BeTCTBeHI-IO (2) d~ (t) dt = -~v~. Ec~II~ ~(t) o6pamaeTcz B rlym, ~ iIpH aTOM MI, I nMeerI cocrosmle v, TO ~IOBOe 3Ha~ie- H~e v(t) CTaHOBI4TClt paBHBIM p C Bepo/tTHOCTBIO r~u-(~), rzte {p~(~)} --paci~pe)~eJieHHe BepoStTHOCTe~ Ha N={v}. O6paTrlBma.qc~l B HySlb I<OMIIOHeHTa (1) BBIrtepKl,IBaeTc~l, cYle~OBaTeYlBHO I#] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematica Academiae Scientiarum Hungarica Springer Journals

Обобщени Теормы ОБ Аналитическом Виде Характерицтик ОБоБщенных Однолинейних Систем Массобого ОбслуживанияДня Одного ТипаПроритетных Систем

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Publisher
Springer Journals
Copyright
Copyright
Subject
Mathematics; Mathematics, general
ISSN
0001-5954
eISSN
1588-2632
DOI
10.1007/BF01901746
Publisher site
See Article on Publisher Site

Abstract

Acta Mathematica Academiae Scientiarum Hungaricae Tomus 25 (1--2), (1974), pp. 55--60. OBOBIIIEHHE TEOPEMbI OB AHAJ1HTHqECKOM BH~E XAPAKTEPHCTHK OBOBIKEHHblX O~HO.IIHHEITIHblX CHCTEM MACCOBOFO OBCYIVXZHBAHHSI ):15151 O~HOFO THHA HPHOPHTETHblX CHCTEM 3I. 31AKATOIlI (E,y~anemT) I. BBe~Iem~e B KHare ]3. B. FHe)~eHKO 11I H. H. KOBaneHKo ,,BBe;~eaae B Teopmo MaccoBoro 06c~y~BaHa~" 6t,i~a paccMoTpeHa n ;~ora3a~a TeopeMa 06 aHa~r~TaqeCKOM B~e xapaKTep~tcTrm o6o6meI~n~rx o;moammfim,IX CHCTeM Macco~oro 06c~y;~HBaH~, ~e~CTBHe KOTOpBIX OnnCBIBaeTc~I KyCOqr{O-Yig~-Ie~HbIM MapKOBCERM r~po~eccoM. HanoM~mV~, ~TO KyCOqrlO-YirtHe~rII, IM IIpo~eccoM Ha3bIBaeTc~ MapKoBCKH~ cyiy- ,~a~rmr~ npo~ecc (1) ~(t) = {v(t); ~(t), ~(t), .., r r)Ie v(t)CN (N xorlemioe rain c~6~oe MnoZCeCTBO) ;mcrpeTrm~ roMnoneHTa. Kax~oMy v CN conoczaB~eno B COOTBeTCTBae ~eoTp~aTe~r~noe ~e~oe ~c~o Ivt. )~ r~y~eBoro COCTOm-ms v=0: Iv/=0, ~ ocTam~rmIx Ivl >0. ~j(t) -- r~enpep~i~- HbIe KOMnOHeHTBI. HocaIe HeKoToporo HaqaYlbHoro MOMeHTa ((t) H3MeF[~IeTr COOTBeTCTBrm C CTaT~CTnqec~H~t 3aI<OHOM" ;%YI~I ra:~;~oro v # 0 3a)~an nocwoar~rm~ BerTop o~ v -= {o%, O~v~ , ..., ~vt,,t}" B v(t)=v r~epeMemn,m ~i(t), 1 <=j<--lvl y6~,marov co cKopoCT~MH, pasH~t~n COOT- BeTCTBeHI-IO (2) d~ (t) dt = -~v~. Ec~II~ ~(t) o6pamaeTcz B rlym, ~ iIpH aTOM MI, I nMeerI cocrosmle v, TO ~IOBOe 3Ha~ie- H~e v(t) CTaHOBI4TClt paBHBIM p C Bepo/tTHOCTBIO r~u-(~), rzte {p~(~)} --paci~pe)~eJieHHe BepoStTHOCTe~ Ha N={v}. O6paTrlBma.qc~l B HySlb I<OMIIOHeHTa (1) BBIrtepKl,IBaeTc~l, cYle~OBaTeYlBHO I#]

Journal

Acta Mathematica Academiae Scientiarum Hungarica – Springer Journals

Published: Jun 18, 2005

References

  • Веегенuе в меорuю массовоуо обслuжuванuя
    Гнеденко, Б. В.; Кованенко, И. Н.