LINE Solver (C++)
Templated C++ port of the LINE queueing solver
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fj Directory Reference
Directory dependency graph for fj:

Files

 
fj_amva.h
 Mean value analysis of a closed network of fork-join subnetworks.
 
fj_bounds.h
 Upper and lower bounds on the mean response time of a K-way fork-join system of M/M/1 branches.
 
fj_branch_members.h
 Activities belonging to each branch of an AND-join.
 
fj_char_max.h
 Gravey's characteristic maximum M_K, an upper bound on the expected maximum of K i.i.d.
 
fj_char_max_blom.h
 Blom-corrected plotting position for the characteristic maximum.
 
fj_char_max_discrete.h
 Characteristic maximum of a lattice random variable.
 
fj_codes.h
 FJ_codes, the fork-join response-time-tail approximation of Z.
 
fj_codes_matrices.h
 The state-space construction of FJ_codes, the fork-join response-time-tail approximation of Z.
 
fj_cox_fit.h
 Two-stage Coxian fit of a mean and a squared coefficient of variation.
 
fj_dag_makespan.h
 Makespan of a task system with precedence constraints.
 
fj_delay_opt.h
 Deterministic subtask delays that minimise mean dispersion.
 
fj_dispersion.h
 Mean subtask dispersion of a split-merge system with Erlang branches.
 
fj_dist2fj.h
 Conversion of a LINE MAP into the arrival or service descriptor of the fork-join response-time-tail algorithm of Qiu, Perez and Harrison (IFIP Performance 2015).
 
fj_gk_bound.h
 G(K) factors for the standardized-maximum approximation X_K^max ~ mu + sigma G(K).
 
fj_harmonic.h
 Harmonic number H_K = sum_{k=1..K} 1/k.
 
fj_ism_green.h
 Green's independent server model of simultaneous server requests.
 
fj_lst_max_het.h
 Laplace-Stieltjes transform of the maximum of heterogeneous exponentials.
 
fj_mg1_respt_moments.h
 Mean and variance of the M/G/1 response time, as ForkTail inputs.
 
fj_order_stat.h
 CDF and expected value of the k-th order statistic of K i.i.d.
 
fj_ordstat_exp.h
 Mean of the k-th smallest of n independent EXPONENTIAL branch completion times, i.e.
 
fj_qgb.h
 Geometric bound on the queue length of a fork-join subnetwork.
 
fj_quantile.h
 Quantile of the maximum of K i.i.d.
 
fj_quorum_moments.h
 Mean and variance of a k-of-n (quorum) join completion time, from the mean and variance of each branch.
 
fj_respt_2way.h
 Exact mean response time of a 2-way fork-join system of M/M/1 branches.
 
fj_respt_bulk.h
 Centralized splitting analysed as an M[K]/M/c bulk arrival system.
 
fj_respt_closed.h
 Varki bound on the residence time of a closed fork-join subnetwork.
 
fj_respt_nosplit.h
 Mean response time of the distributed no-splitting parallel system.
 
fj_respt_nt.h
 Nelson-Tantawi approximation to the mean response time of a K-way fork-join system of M/M/1 branches.
 
fj_respt_varki.h
 Varki approximation to the mean response time of a K-way fork-join system of M/M/1 branches.
 
fj_respt_vm.h
 Varma-Makowski light-traffic interpolation for the mean response time of a K-way fork-join system of M/M/1 branches.
 
fj_rmax.h
 Pessimistic (independence) fork-join response time: the expected maximum of K independent M/M/1 response times, each exponential with rate mu - lambda.
 
fj_rmax_erlang.h
 Expected maximum of K M/E_k/1 branch response times.
 
fj_rmax_evd.h
 Extreme-value approximation to the maximum of K branch response times, from their mean and standard deviation.
 
fj_serialization.h
 Blocking probability and pseudoserver delay of serialization phases.
 
fj_sm_tput.h
 Saturated (single-message) maximum throughput of a K-way fork-join system with exponential branch service.
 
fj_synch_delay.h
 Mean synchronization delay of a 2-way fork-join system of M/M/1 branches, i.e.
 
fj_tail_forktail.h
 ForkTail black-box tail-latency approximation for fork-join requests.
 
fj_tail_ordstat.h
 Tail latency of a k-of-n (QUORUM) fork-join request.
 
fj_tsm_capacity.h
 Saturation throughput of the team service model.
 
fj_types.h
 Shared return types and arithmetic helpers for the templated fork-join port.
 
fj_xmax_2.h
 Expected maximum of two independent, possibly unequal-rate exponentials.
 
fj_xmax_approx.h
 Two-moment approximation to the expected maximum of K i.i.d.
 
fj_xmax_coxian.h
 Expected maximum of K i.i.d.
 
fj_xmax_emma.h
 EMMA (Extreme-value Maximum Moment Approximation) to the expected maximum of K i.i.d.
 
fj_xmax_erlang.h
 Expected maximum of K i.i.d.
 
fj_xmax_exp.h
 Expected maximum of K i.i.d.
 
fj_xmax_het.h
 Exact moments of the maximum of heterogeneous exponentials.
 
fj_xmax_hyperexp.h
 Expected maximum of K i.i.d.
 
fj_xmax_hz.h
 Harrison-Zertal approximation of the maximum of i.i.d.
 
fj_xmax_hz_het.h
 Harrison-Zertal approximation of the maximum of general variables.
 
fj_xmax_moments_het.h
 Moments of the maximum of heterogeneous exponentials by recurrence.
 
fj_xmax_normal.h
 Expected maximum and variance of K i.i.d.
 
fj_xmax_pareto.h
 Expected maximum and characteristic maximum of K i.i.d.