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Highlights from
Aggregated Teletraffic Models with Long-range Dependence

• [ctimes, cval]=linjpcut(jmpti... LINJPCUT Truncate piecewise linear functions at a given time.
• [ctimes, cval]=staircut(jmpti... STAIRCUT Truncate piecewise constant functions at a given time.
• [ctimes, le_ij, cle_ij, exi, ... STTIMESCUT Truncate nondecreasing sequences at a given point.
• countpath(cdir) COUNTPATH add the counting processes and random number
• distrmu(distr, dpar) DISTRMU a table-lookup function. For a given handle to an external
• distrstat(distr, dpar)
• lracc(sc_type, alpha, refvar,... LRACC Compute the "acceleration factor": the ratio between
• lrscales(sc_type, alpha, refv... LRSCALES Compute the time and space scales according to the
• onoff(nproc, maxtime, on_dist... ONOFF generate N independent stationary on-off processes. An
• rencount(nproc, maxtime, dist... % RENCOUNT Simulate independent renewal counting processes
• renewpp(nproc, maxtime, distr... RENEWPP Generate a matrix of N independent renewal point
• renrew(nproc, maxtime, ren1_d... % RENREW Generate N independent renewal reward processes
• renuni(nproc, maxtime) RENUNI Generate a matrix of N independent renewal counting
• scalemginfty(sc_type, lambda,... SCALEMGINFTY Simulate the rescaled and centered cumulative
• scaleonoff(sc_type, maxtime, ... SCALEONOFF Simulate a rescaled and centered sum of integrated
• scaleren(sc_type, alpha, ren_... SCALEREN Simulate a rescaled and centered sum of independent
• servpath(sdir) SERVPATH add the counting processes and random number
• simbinom(npoints, n, p) SIMBINOM random numbers from binomial distribution
• simdiscr(npoints, pdf, val) SIMDISCR random numbers from a discrete random
• simexp(M, N, lambda) SIMEXP random numbers from exponential distribution
• simgeom(npoints, p) SIMGEOM random numbers from geometric distribution
• simlinear(M, N)
• simmd1(tmax, lambda) SIMMD1 simulate a M/D/1 queueing system. Poisson arrivals
• simmg1(tmax, lambda) SIMMG1 simulate a M/G/1 queueing system. Poisson arrivals
• simmginfty(tmax, lambda) SIMMGINFTY simulate a M/G/infinity queueing system. Arrivals are
• simmm1(n, lambda, mu) SIMMM1 simulate a M/M/1 queueing system. Poisson arrivals of
• simpareto(M, N, alpha) SIMPARETO random numbers from Pareto distribution:
• simparetonrm(M, N, alpha, gam... SIMPARETONRM Generate a matrix of random numbers from the
• simstmginfty(maxtime, lambda,... SIMSTMGINFTY generate the system size process in a stationary
• stairintegr(jptimes, fval, st... % STAIRINTEGR Integrate piecewise constant (stair) functions. The results
• stairsum(jmptimes, fval) % STAIRSUM Add piecewise constant (stair) functions.
• stintresc(jmptimes, fval, ... STINTRESC Integrate and rescale a piecewice constant function:
• strescint(jmptimes, fval, ... STRESCINT Rescale and integrate a piecewice constant function:
• stsumplot(jptimes, fval, stim... STSUMPLOT Plot piecewise constant functions and their sum. The
• telepath(tdir) TELEPATH add the teletraffic models directories to the path.
• simgeod1.m
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