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 122 articles , 1 standard article )

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  1. Bhatnagar, Rohit; Lin, Bing: The joint transshipment and production control policies for multi-location production/inventory systems (2019)
  2. Granville, Kevin; Drekic, Steve: On a 2-class polling model with reneging and (k_i)-limited service (2019)
  3. Mercier, Sophie; Castro, I. T.: Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system (2019)
  4. Ahn, Soohan; Badescu, Andrei L.; Cheung, Eric C. K.; Kim, Jeong-Rae: An IBNR-RBNS insurance risk model with marked Poisson arrivals (2018)
  5. Jacquier, Antoine; Liu, Hao: Optimal liquidation in a level-I limit order book for large-tick stocks (2018)
  6. Kuhn, Julia; Mandjes, Michel: Efficient simulation of tail probabilities in a queueing model with heterogeneous servers (2018)
  7. Piunovskiy, Alexey: Realizable strategies in continuous-time Markov decision processes (2018)
  8. Sahba, Pedram; Balcıoğlu, Barış; Banjevic, Dragan: Multilevel rationing policy for spare parts when demand is state dependent (2018)
  9. van der Laan, Dinard: Assigning multiple job types to parallel specialized servers (2018)
  10. Arts, Joachim: A multi-item approach to repairable stocking and expediting in a fluctuating demand environment (2017)
  11. Cavazos-Cadena, Rolando; Cruz-Suárez, Daniel: Discounted approximations to the risk-sensitive average cost in finite Markov chains (2017)
  12. Chaudhry, M. L.; Banik, A. D.; Pacheco, A.: A simple analysis of the batch arrival queue with infinite-buffer and Markovian service process using roots method: ( GI^[X]/C)-( MSP /1/\infty) (2017)
  13. Masuyama, Hiroyuki: Continuous-time block-monotone Markov chains and their block-augmented truncations (2017)
  14. Öner-Közen, Miray; Minner, Stefan: Impact of priority sequencing decisions on on-time probability and expected tardiness of orders in make-to-order production systems with external due-dates (2017)
  15. Padilla Tinoco, Silvia Valeria; Creemers, Stefan; Boute, Robert N.: Collaborative shipping under different cost-sharing agreements (2017)
  16. Rahimi-Ghahroodi, S.; Al Hanbali, A.; Zijm, W. H. M.; van Ommeren, J. K. W.; Sleptchenko, A.: Integrated planning of spare parts and service engineers with partial backlogging (2017)
  17. Shin, Yang Woo: Dimension reduction for approximation of advanced retrial queues : tutorial and review (2017)
  18. Van der Heide, G.; Roodbergen, K. J.; Van Foreest, N. D.: Redistributing stock in library systems with a depot (2017)
  19. Zhang, Yu; Kulkarni, Vidyadhar G.: Two-day appointment scheduling with patient preferences and geometric arrivals (2017)
  20. Zhou, Liping; Geng, Na; Jiang, Zhibin; Wang, Xiuxian: Combining revenue and equity in capacity allocation of imaging facilities (2017)

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