MCQueue: educational software for Markov Chains and Queues (non-commercial use) This software package contains two modules. The first module is for the transient and steady-analysis of discrete-time and continuous-time Markov chains up to 100 states. The other module calculates performance measures including queue-length probabilities and waiting-time probabilities for basic queueing models (M/G/1 queue, M/M/c queue, M/D/c queue, G/M/c queue, M/M/c/c+N queue, the transient M/M/1 queue). The algorithms in this software package are based on methods discussed in the book H.C. Tijms, A First Course in Stochastic Models, Wiley, 2003 (Source:

References in zbMATH (referenced in 150 articles , 1 standard article )

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  1. Banik, A. D.; Chaudhry, M. L.; Wittevrongel, Sabine; Bruneel, Herwig: A simple and efficient computing procedure of the stationary system-length distributions for (G I^X / D / c) and (B M a P / D / c) queues (2022)
  2. Bautista, Lucía; Castro, Inma T.; Landesa, Luis: Condition-based maintenance for a system subject to multiple degradation processes with stochastic arrival intensity (2022)
  3. Dayanik, Savas; Yamazaki, Kazutoshi: Detection and identification of changes of hidden Markov chains: asymptotic theory (2022)
  4. Gabor, Adriana F.; van Ommeren, Jan-Kees; Sleptchenko, Andrei: An inventory model with discounts for omnichannel retailers of slow moving items (2022)
  5. Hekimoğlu, Mustafa; Kök, A. Gürhan; Şahin, Mustafa: Stockout risk estimation and expediting for repairable spare parts (2022)
  6. Pourmoayed, Reza; Nielsen, Lars Relund: Optimizing pig marketing decisions under price fluctuations (2022)
  7. Schouten, Thijs Nicolaas; Dekker, Rommert; Hekimoğlu, Mustafa; Eruguz, Ayse Sena: Maintenance optimization for a single wind turbine component under time-varying costs (2022)
  8. Bilenne, Olivier: Dispatching to parallel servers. Solutions of Poisson’s equation for first-policy improvement (2021)
  9. Laverny, Oskar; Masiello, Esterina; Maume-Deschamps, Véronique; Rullière, Didier: Estimation of multivariate generalized gamma convolutions through Laguerre expansions (2021)
  10. Sasanuma, Katsunobu; Scheller-Wolf, Alan: Approximate performance measures for a single station two-stage reneging queue (2021)
  11. Blancas-Rivera, Rubén; Cavazos-Cadena, Rolando; Cruz-Suárez, Hugo: Discounted approximations in risk-sensitive average Markov cost chains with finite state space (2020)
  12. Hao, Songhua; Yang, Jun; Berenguer, Christophe: Condition-based maintenance with imperfect inspections for continuous degradation processes (2020)
  13. Lindskog, Filip; Majumder, Abhishek Pal: Exact long time behavior of some regime switching stochastic processes (2020)
  14. Losidis, Sotirios; Politis, Konstadinos: Moments of the forward recurrence time in a renewal process (2020)
  15. Samanta, S. K.: Waiting-time analysis of D-BMAP/G/1 queueing system (2020)
  16. Bhatnagar, Rohit; Lin, Bing: The joint transshipment and production control policies for multi-location production/inventory systems (2019)
  17. Butler, Ronald W.: Asymptotic expansions and saddlepoint approximations using the analytic continuation of moment generating functions (2019)
  18. Ghoreishi, Maryam: Testing the robustness of deterministic models of optimal dynamic pricing and lot-sizing for deteriorating items under stochastic conditions (2019)
  19. Granville, Kevin; Drekic, Steve: On a 2-class polling model with reneging and (k_i)-limited service (2019)
  20. Losidis, Sotirios; Politis, Konstadinos: The covariance of the backward and forward recurrence times in a renewal process: the stationary case and asymptotics for the ordinary case (2019)

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