Package jline.api.mam
Matrix Analytic Methods (MAM) for structured Markov chains.
This package implements matrix-analytic methods for solving structured Markov chains, including quasi-birth-death (QBD) processes, MAP/MAP/1 queues, and related models. These methods are efficient for analyzing systems with repetitive state space structures.
See: Description
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Class Summary Class Description Amap2FitGammaKt Amap2 Fit Gamma algorithms Amap2FitGammaMap Amap2 Fit Gamma Map algorithms Amap2FitGammaTraceKt Amap2 Fit Gamma Trace algorithms Aph2AdjustKt APH 2 adjust algorithms Aph2AssembleKt APH 2 assemble algorithms Aph2FitKt APH 2 fit algorithms Aph2FitMapKt APH 2 fit map algorithms Aph2FitTraceKt APH 2 fit trace algorithms Aph2Fitall APH 2 fitall algorithms AphBernsteinKt APH bernstein algorithms AphFitKt APH fit algorithms AphRandKt APH rand algorithms AphSimplifyKt APH simplify algorithms Mamap22FitGammaFsTrace MAMAP 22 fit gamma fs trace algorithms Mamap22FitMulticlass MAMAP 22 fit multiclass algorithms Mamap2mCoefficients MAMAP 2m coefficients algorithms Mamap2m_fit Fits a MAMAP(2,m) (Markovian Arrival Process with Marked arrivals) that matches the provided characteristics. Mamap2mFitKt MAMAP 2m fit algorithms QPResult Quadratic Programming result containing solution and status Mamap2mFitFbMulticlassKt MAMAP 2m fit fb multiclass algorithms Mamap2mFitGammaFbMmapKt MAMAP 2m fit gamma fb mmap algorithms Mamap2mFitMmapKt MAMAP 2m fit mmap algorithms Mamap2mFitTraceKt MAMAP 2m fit trace algorithms Map2FitKt Map2 Fit algorithms MapAcfKt MAP autocorrelation function algorithms MapAcfcKt MAP autocorrelation function coefficients algorithms MapBlockKt MAP block matrix construction algorithms MapCcdfDerivativeKt MAP complementary CDF derivative algorithms MapCdf MAP cumulative distribution function algorithms MapCheckfeasibleKt MAP checkfeasible algorithms MapCountMeanKt MAP counting process mean algorithms MapCountMoment MAP count moment algorithms MapCountVar MAP count var algorithms MapEmbeddedKt MAP embedded algorithms MapErlangKt MAP erlang algorithms MapExponentialKt MAP exponential algorithms MapFeasblockKt MAP feasblock algorithms MapFeastolKt MAP feastol algorithms MapGammaKt MAP gamma algorithms MapGamma2 MAP gamma2 algorithms MapHyperexpKt MAP hyperexp algorithms MapIdcKt MAP idc algorithms MapInfgenKt MAP infgen algorithms MapIsfeasibleKt MAP isfeasible algorithms MapJointKt MAP joint algorithms MapJointpdfDerivativeKt MAP jointpdf derivative algorithms MapKpcKt MAP kpc algorithms MapKurtKt MAP kurt algorithms MapLambda MAP arrival rate computation algorithms. MapLargemapKt MAP largemap algorithms MapMarkKt MAP mark algorithms MapMaxKt MAP max algorithms MapMean MAP mean inter-arrival time computation algorithms. MapMixture MAP mixture algorithms MapMoment MAP moment algorithms MapNormalizeKt MAP normalize algorithms MapPdfKt MAP pdf algorithms MapPieKt MAP pie algorithms MapPiqKt MAP piq algorithms MapPntiterKt MAP pntiter algorithms MapPntquad MAP pntquad algorithms MapProbKt MAP prob algorithms MapRandKt MAP rand algorithms MapRandnKt MAP randn algorithms MapRenewal MAP renewal algorithms MapSampleKt MAP sample algorithms MapScaleKt MAP scale algorithms MapScvKt MAP scv algorithms MapSkewKt MAP skew algorithms MapStochcompKt MAP stochcomp algorithms MapSumKt MAP sum algorithms MapSumindKt MAP sumind algorithms MapSuperKt MAP super algorithms MapTimereverseKt MAP timereverse algorithms MapVar MAP variance computation algorithms. MapVarcountKt MAP varcount algorithms Maph2mFitKt MAPH 2m fit algorithms Maph2mFitMmapKt MAPH 2m fit mmap algorithms Maph2mFitMulticlass MAPH 2m fit multiclass algorithms Maph2mFitTraceKt MAPH 2m fit trace algorithms Maph2mFitCountApproxKt MAPH 2m fit count approx algorithms Maph2mFitCountTheoreticalKt MAPH 2m fit count theoretical algorithms MmapBackwardMomentKt MMAP backward moment algorithms Mmap_compress Compresses an MMAP using various approximation methods. MmapCompressKt MMAP compress algorithms MmapCountIdcKt MMAP count idc algorithms MmapCountLambdaKt MMAP count lambda algorithms MmapCountMcovKt MMAP count mcov algorithms MmapCountMeanKt MMAP count mean algorithms MmapCountVarKt MMAP count var algorithms MmapCrossMomentKt MMAP cross moment algorithms MmapEmbeddedKt MMAP embedded algorithms MmapExponentialKt MMAP exponential algorithms MmapForwardMomentKt MMAP forward moment algorithms MmapHideKt MMAP hide algorithms MmapIdcKt MMAP idc algorithms MmapIsfeasibleKt MMAP isfeasible algorithms MmapIssymKt MMAP issym algorithms MmapLambdaKt MMAP lambda algorithms MmapMapsKt MMAP maps algorithms MmapMark MMAP mark algorithms MmapMaxKt MMAP max algorithms MmapMixtureKt MMAP mixture algorithms MmapMixtureFitKt MMAP mixture fit algorithms MmapMixtureFitMmapKt MMAP mixture fit mmap algorithms MmapMixtureOrder2Kt MMAP mixture order2 algorithms MmapModulateKt MMAP modulate algorithms MmapNormalizeKt MMAP normalize algorithms MmapPcKt MMAP pc algorithms Mmap_pie Computes the steady-state probability vector for each class in an MMAP. MmapPieKt MMAP pie algorithms MmapRandKt MMAP rand algorithms MmapSampleKt MMAP sample algorithms MmapScale MMAP scale algorithms MmapShortenKt MMAP shorten algorithms MmapSigmaKt MMAP sigma algorithms MmapSigma2Kt MMAP sigma2 algorithms MmapSum MMAP sum algorithms MmapSuperKt MMAP super algorithms MmapSuperSafeKt MMAP super safe algorithms MmapTimereverse MMAP timereverse algorithms Mmpp2FitKt Mmpp2 Fit algorithms Mmpp2Fit1Kt Mmpp2 Fit1 algorithms Mmpp2_fitc Fits a MMPP(2) according to Heffes and Lucantoni, 1986. Mmpp2FitcKt Mmpp2 Fitc algorithms Mmpp2_fitc_approx Fits a second-order Marked MMPP using optimization. Mmpp2FitCountApproxKt Mmpp2 Fit Count Approx algorithms MmppRandKt Mmpp Rand algorithms PhReindex Ph Reindex algorithms QbdRKt QBD R algorithms QbdRLogredKt QBD R logred algorithms QbdBmapResult Set up QBD matrices for BMAP/BMAP/1 queue analysis Note: This is a simplified implementation based on the incomplete MATLAB version QbdBmapbmap1Kt QBD bmapbmap1 algorithms QbdMapMap1Result Analyze MAP/MAP/1 queue using QBD methods, computing performance measures QbdMapmap1 QBD mapmap1 algorithms QbdRapRap1Result Analyze RAP/RAP/1 queue using QBD methods QbdRaprap1 QBD raprap1 algorithms QbdRgResult Compute R and G matrices for MAP/MAP/1 queue using QBD approach QbdCrResult Simplified Cyclic Reduction method for QBD processes This is a basic implementation - for production use, consider using existing QBD solvers QbdRgKt QBD rg algorithms QbdSetupdelayoff QBD setupdelayoff algorithms Randp Randp algorithms Amap2_fit_gammaKt Amap2_fit_gamma_mapKt Amap2_fit_gamma_traceKt Aph2_adjustKt Aph2_assembleKt Aph2_fitKt Aph2_fit_mapKt Aph2_fit_traceKt Aph2_fitallKt Aph_bernsteinKt Aph_fitKt Aph_randKt Aph_simplifyKt Mamap22_fit_gamma_fs_traceKt Mamap22_fit_multiclassKt Mamap2m_coefficientsKt Mamap2m_fit_fb_multiclassKt Mamap2m_fit_gamma_fb_mmapKt Mamap2m_fit_mmapKt Mamap2m_fit_traceKt Map2_fitKt Map2mmppKt Map_acfKt Map_acfcKt Map_blockKt Map_ccdf_derivativeKt Map_cdfKt Map_checkfeasibleKt Map_count_meanKt Map_count_momentKt Map_count_varKt Map_embeddedKt Map_erlangKt Map_exponentialKt Map_feasblockKt Map_feastolKt Map_gammaKt Map_gamma2Kt Map_hyperexpKt Map_idcKt Map_infgenKt Map_isfeasibleKt Map_jointKt Map_jointpdf_derivativeKt Map_kpcKt Map_kurtKt Map_lambdaKt Map_largemapKt Map_markKt Map_maxKt Map_meanKt Map_mixtureKt Map_momentKt Map_normalizeKt Map_pdfKt Map_pieKt Map_piqKt Map_pntiterKt Map_pntquadKt Map_probKt Map_randKt Map_randnKt Map_renewalKt Map_sampleKt Map_scaleKt Map_scvKt Map_skewKt Map_stochcompKt Map_sumKt Map_sumindKt Map_superKt Map_timereverseKt Map_varKt Map_varcountKt Maph2m_fitKt Maph2m_fit_multiclassKt Maph2m_fit_mmapKt Maph2m_fit_traceKt Maph2m_fitc_approxKt Maph2m_fitc_theoreticalKt Mmap_backward_momentKt Mmap_count_idcKt Mmap_count_lambdaKt Mmap_count_mcovKt Mmap_count_meanKt Mmap_count_varKt Mmap_cross_momentKt Mmap_embeddedKt Mmap_exponentialKt Mmap_forward_momentKt Mmap_hideKt Mmap_idcKt Mmap_isfeasibleKt Mmap_issymKt Mmap_lambdaKt Mmap_mapsKt Mmap_markKt Mmap_maxKt Mmap_mixtureKt Mmap_mixture_fitKt Mmap_mixture_fit_mmapKt Mmap_mixture_order2Kt Mmap_modulateKt Mmap_normalizeKt Mmap_pcKt Mmap_randKt Mmap_sampleKt Mmap_scaleKt Mmap_shortenKt Mmap_sigmaKt Mmap_sigma2Kt Mmap_sumKt Mmap_superKt Mmap_super_safeKt Mmap_timereverseKt Mmpp2_fitKt Mmpp2_fit1Kt Mmpp_randKt Ph_reindexKt Qbd_RKt Qbd_R_logredKt Qbd_bmapbmap1Kt Qbd_mapmap1Kt Qbd_raprap1Kt Qbd_rgKt Qbd_setupdelayoffKt RandpKt