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 Amap2FitGammaAlgo Amap2 Fit Gamma algorithms Amap2FitGammaMap Amap2 Fit Gamma Map algorithms Amap2FitGammaTraceAlgo Amap2 Fit Gamma Trace algorithms Aph2AdjustAlgo APH 2 adjust algorithms Aph2AssembleAlgo APH 2 assemble algorithms Aph2FitAlgo APH 2 fit algorithms Aph2FitMapAlgo APH 2 fit map algorithms Aph2FitTraceAlgo APH 2 fit trace algorithms Aph2Fitall APH 2 fitall algorithms AphBernsteinAlgo APH bernstein algorithms AphConvseqAlgo APH convolution sequence algorithms AphFitAlgo APH fit algorithms AphRandAlgo APH rand algorithms AphSimplifyAlgo APH simplify algorithms LdqbdResult Result of LDQBD solver containing rate matrices and stationary distribution. LdqbdOptions Options for LDQBD solver. LdqbdAlgo LDQBD solver algorithms for level-dependent Quasi-Birth-Death processes. 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. Mamap2mFitAlgo MAMAP 2m fit algorithms QPResult Quadratic Programming result containing solution and status Mamap2mFitFbMulticlassAlgo MAMAP 2m fit fb multiclass algorithms Mamap2mFitGammaFbMmapAlgo MAMAP 2m fit gamma fb mmap algorithms Mamap2mFitGammaFbTraceAlgo MAMAP 2m fit gamma fb trace algorithms Mamap2mFitMmapAlgo MAMAP 2m fit mmap algorithms Mamap2mFitTraceAlgo MAMAP 2m fit trace algorithms Map2FitAlgo Map2 Fit algorithms MapAcfAlgo MAP autocorrelation function algorithms MapAcfcAlgo MAP autocorrelation function coefficients algorithms MapBlockAlgo MAP block matrix construction algorithms MapCcdfDerivativeAlgo MAP complementary CDF derivative algorithms MapCdf MAP cumulative distribution function algorithms MapCheckfeasibleAlgo MAP checkfeasible algorithms MapCountMeanAlgo MAP counting process mean algorithms MapCountMoment MAP count moment algorithms MapCountVar MAP count var algorithms MapEmbeddedAlgo MAP embedded algorithms MapErlangAlgo MAP erlang algorithms MapExponentialAlgo MAP exponential algorithms MapFeasblockAlgo MAP feasblock algorithms MapFeastolAlgo MAP feastol algorithms MapGammaAlgo MAP gamma algorithms MapGamma2 MAP gamma2 algorithms MapHyperexpAlgo MAP hyperexp algorithms MapIdcAlgo MAP idc algorithms MapInfgenAlgo MAP infgen algorithms MapIsfeasibleAlgo MAP isfeasible algorithms MapJointAlgo MAP joint algorithms MapJointpdfDerivativeAlgo MAP jointpdf derivative algorithms MapKpcAlgo MAP kpc algorithms MapKurtAlgo MAP kurt algorithms MapLambda MAP arrival rate computation algorithms. MapLargemapAlgo MAP largemap algorithms MapMarkAlgo MAP mark algorithms MapMaxAlgo MAP max algorithms MapMean MAP mean inter-arrival time computation algorithms. MapMixture MAP mixture algorithms MapMoment MAP moment algorithms MapNormalizeAlgo MAP normalize algorithms MapPdfAlgo MAP pdf algorithms MapPieAlgo MAP pie algorithms MapPiqAlgo MAP piq algorithms MapPntiterAlgo MAP pntiter algorithms MapPntquad MAP pntquad algorithms MapProbAlgo MAP prob algorithms MapRandAlgo MAP rand algorithms MapRandnAlgo MAP randn algorithms MapRenewal MAP renewal algorithms BmapSample Result of BMAP sampling containing inter-arrival time and batch size. MapSampleAlgo MAP sample algorithms MapScaleAlgo MAP scale algorithms MapScvAlgo MAP scv algorithms MapSkewAlgo MAP skew algorithms MapStochcompAlgo MAP stochcomp algorithms MapSumAlgo MAP sum algorithms MapSumindAlgo MAP sumind algorithms MapSuperAlgo MAP super algorithms MapTimereverseAlgo MAP timereverse algorithms MapVar MAP variance computation algorithms. MapVarcountAlgo MAP varcount algorithms Maph2mFitAlgo MAPH 2m fit algorithms Maph2mFitMmapAlgo MAPH 2m fit mmap algorithms Maph2mFitMulticlass MAPH 2m fit multiclass algorithms Maph2mFitTraceAlgo MAPH 2m fit trace algorithms Maph2mFitCountApproxAlgo MAPH 2m fit count approx algorithms Maph2mFitCountTheoreticalAlgo MAPH 2m fit count theoretical algorithms MeMean ME mean computation algorithms documentation marker for Dokka. MePie ME initial probability computation algorithms documentation marker for Dokka. MeSample ME sampling algorithms documentation marker for Dokka. MeScv ME SCV computation algorithms documentation marker for Dokka. MeVar ME variance computation algorithms documentation marker for Dokka. MmapBackwardMomentAlgo MMAP backward moment algorithms Mmap_compress Compresses an MMAP using various approximation methods. MmapCompressAlgo MMAP compress algorithms MmapCountIdcAlgo MMAP count idc algorithms MmapCountLambdaAlgo MMAP count lambda algorithms MmapCountMcovAlgo MMAP count mcov algorithms MmapCountMeanAlgo MMAP count mean algorithms MmapCountVarAlgo MMAP count var algorithms MmapCrossMomentAlgo MMAP cross moment algorithms MmapEmbeddedAlgo MMAP embedded algorithms MmapExponentialAlgo MMAP exponential algorithms MmapForwardMomentAlgo MMAP forward moment algorithms MmapHideAlgo MMAP hide algorithms MmapIdcAlgo MMAP idc algorithms MmapIsfeasibleAlgo MMAP isfeasible algorithms MmapIssymAlgo MMAP issym algorithms MmapLambdaAlgo MMAP lambda algorithms MmapMapsAlgo MMAP maps algorithms MmapMark MMAP mark algorithms MmapMaxAlgo MMAP max algorithms MmapMixtureAlgo MMAP mixture algorithms MmapMixtureFitAlgo MMAP mixture fit algorithms MmapMixtureFitMmapAlgo MMAP mixture fit mmap algorithms MmapMixtureFitTraceAlgo MMAP mixture fit trace algorithms MmapMixtureOrder2Algo MMAP mixture order2 algorithms MmapModulateAlgo MMAP modulate algorithms MmapNormalizeAlgo MMAP normalize algorithms MmapPcAlgo MMAP pc algorithms Mmap_pie Computes the steady-state probability vector for each class in an MMAP. MmapPieAlgo MMAP pie algorithms MmapRandAlgo MMAP rand algorithms MmapSampleAlgo MMAP sample algorithms MmapScale MMAP scale algorithms MmapShortenAlgo MMAP shorten algorithms MmapSigmaAlgo MMAP sigma algorithms MmapSigma2Algo MMAP sigma2 algorithms MmapSum MMAP sum algorithms MmapSuperAlgo MMAP super algorithms MmapSuperSafeAlgo MMAP super safe algorithms MmapTimereverse MMAP timereverse algorithms Mmpp2FitAlgo Mmpp2 Fit algorithms Mmpp2Fit1Algo Mmpp2 Fit1 algorithms Mmpp2_fit_count Fits a MMPP(2) according to Heffes and Lucantoni, 1986. Mmpp2_fit_count_approx Fits a second-order Marked MMPP using optimization. Mmpp2_fitc Fits a MMPP(2) according to Heffes and Lucantoni, 1986. Mmpp2FitcAlgo Mmpp2 Fitc algorithms Mmpp2_fitc_approx Fits a second-order Marked MMPP using optimization. Mmpp2FitCountApproxAlgo Mmpp2 Fit Count Approx algorithms MmppRandAlgo Mmpp Rand algorithms PhReindex Ph Reindex algorithms QbdRAlgo QBD R algorithms QbdRLogredAlgo 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 QbdBmapbmap1Algo 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 QbdRgAlgo 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_convseqKt Aph_fitKt Aph_randKt Aph_simplifyKt LdqbdKt Mamap22_fit_gamma_fs_traceKt Mamap22_fit_multiclassKt Mamap2m_coefficientsKt Mamap2m_fit_fb_multiclassKt Mamap2m_fit_gamma_fb_mmapKt Mamap2m_fit_gamma_fb_traceKt 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 Me_meanKt Me_pieKt Me_sampleKt Me_scvKt Me_varKt 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_traceKt 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