Kpc-toolbox swMATH ID: 8537 Software Authors: Casale, G.; Zhang, E. Z.; Smirni, E. Description: KPC-Toolbox is a library of MATLAB functions for fitting an empirical dataset into a Markov model such as a phase-type distribution (PH) or a Markovian arrival process (MAP). The user provides the input trace describing, e.g., packet inter-arrival times, job response times, job service times. Based on the statistical descriptors of the trace, the KPC-Toolbox automatically fits the dataset into a PH or a MAP using exact and approximate moment matching techniques. PHs and MAPs can be easily integrated in queueing models for performance prediction and are compositional with Markov models in general. PHs include hyper-exponential, Erlang, hypo-exponential/generalized Erlang, acyclic phase-type distributions as special cases. Special cases of MAPs are instead the interrupted Poisson process (ON/OFF), the switched Poisson process, and the Markov Modulated Poisson process (MMPP). The KPC-Toolbox is distributed to the public for research and testing. If you have any questions, ideas or suggestions, please contact the maintainer: g DOT casale AT imperial DOT ac DOT uk. Homepage: http://www.cs.wm.edu/MAPQN/kpctoolbox.html Dependencies: Matlab Related Software: PhFit; R; EMpht; JMT; actuar; HyperStar; Butools; Profido; Jphase Cited in: 5 Publications all top 5 Cited by 11 Authors 1 Briat, Corentin 1 Casale, Giuliano 1 Chydzinski, Andrzej 1 de Nitto Personè, Vittoria 1 Khammash, Mustafa H. 1 Krauß, Tilman 1 Reinecke, Philipp 1 Slud, Eric V. 1 Smirni, Evgenia 1 Suntornchost, Jiraphan 1 Wolter, Katinka Cited in 5 Serials 1 Computers & Mathematics with Applications 1 Lifetime Data Analysis 1 ACM Transactions on Modeling and Computer Simulation 1 Mathematical Problems in Engineering 1 SIAM Journal on Applied Dynamical Systems all top 5 Cited in 7 Fields 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year