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 140 articles , 1 standard article )

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  1. Sasanuma, Katsunobu; Scheller-Wolf, Alan: Approximate performance measures for a single station two-stage reneging queue (2021)
  2. Blancas-Rivera, Rubén; Cavazos-Cadena, Rolando; Cruz-Suárez, Hugo: Discounted approximations in risk-sensitive average Markov cost chains with finite state space (2020)
  3. Lindskog, Filip; Majumder, Abhishek Pal: Exact long time behavior of some regime switching stochastic processes (2020)
  4. Losidis, Sotirios; Politis, Konstadinos: Moments of the forward recurrence time in a renewal process (2020)
  5. Samanta, S. K.: Waiting-time analysis of D-BMAP/G/1 queueing system (2020)
  6. Bhatnagar, Rohit; Lin, Bing: The joint transshipment and production control policies for multi-location production/inventory systems (2019)
  7. Butler, Ronald W.: Asymptotic expansions and saddlepoint approximations using the analytic continuation of moment generating functions (2019)
  8. Ghoreishi, Maryam: Testing the robustness of deterministic models of optimal dynamic pricing and lot-sizing for deteriorating items under stochastic conditions (2019)
  9. Granville, Kevin; Drekic, Steve: On a 2-class polling model with reneging and (k_i)-limited service (2019)
  10. 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)
  11. Mercier, Sophie; Castro, I. T.: Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system (2019)
  12. Olsson, Fredrik: Simple modeling techniques for base-stock inventory systems with state dependent demand rates (2019)
  13. Shin, Yang Woo: Asymptotic mean and variance of departures in an (M/G/1/K + 1) queue (2019)
  14. Ahn, Soohan; Badescu, Andrei L.; Cheung, Eric C. K.; Kim, Jeong-Rae: An IBNR-RBNS insurance risk model with marked Poisson arrivals (2018)
  15. Cavazos-Cadena, Rolando: Characterization of the optimal risk-sensitive average cost in denumerable Markov decision chains (2018)
  16. Cavazos-Cadena, Rolando; Hernández-Hernández, Daniel: Vanishing discount approximations in controlled Markov chains with risk-sensitive average criterion (2018)
  17. Jacquier, Antoine; Liu, Hao: Optimal liquidation in a level-I limit order book for large-tick stocks (2018)
  18. Kuhn, Julia; Mandjes, Michel: Efficient simulation of tail probabilities in a queueing model with heterogeneous servers (2018)
  19. Piunovskiy, Alexey: Realizable strategies in continuous-time Markov decision processes (2018)
  20. Sahba, Pedram; Balcıoğlu, Barış; Banjevic, Dragan: Multilevel rationing policy for spare parts when demand is state dependent (2018)

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