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 75 articles , 1 standard article )

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  1. Abouee-Mehrizi, Hossein; Baron, Opher: State-dependent $\mathrmM/\mathrmG/1$ queueing systems (2016)
  2. Chávez-Rodríguez, Selene; Cavazos-Cadena, Rolando; Cruz-Suárez, Hugo: Controlled semi-Markov chains with risk-sensitive average cost criterion (2016)
  3. Lees-Miller, John D.: Minimising average passenger waiting time in personal rapid transit systems (2016)
  4. Samanta, S.K.; Chaudhry, M.L.; Pacheco, A.: Analysis of $\mathrmBMAP/\mathrmMSP/1$ queue (2016)
  5. Sivaselvan, K.; Vijayalakshmi, C.: Implementation of Markovian queueing network model with multiple closed chains (2016)
  6. von Essen, Christian; Jobstmann, Barbara; Parker, David; Varshneya, Rahul: Synthesizing efficient systems in probabilistic environments (2016)
  7. Drekic, Steve; Stanford, David A.; Woolford, Douglas G.; McAlister, Vivian C.: A model for deceased-donor transplant queue waiting times (2015)
  8. Hanbali, A.Al; Alvarez, E.M.; van der Heijden, M.C.: Approximations for the waiting-time distribution in an $M/PH/c$ priority queue (2015)
  9. Kim, Sang-Hyun: Time to come clean? Disclosure and inspection policies for Green production (2015)
  10. Li, Jingpeng; Bai, Ruibin; Shen, Yindong; Qu, Rong: Search with evolutionary ruin and stochastic rebuild: a theoretic framework and a case study on exam timetabling (2015)
  11. Özkan, Erhun; Houtum, Geert-Jan; Serin, Yasemin: A new approximate evaluation method for two-echelon inventory systems with emergency shipments (2015)
  12. Piunovskiy, Alexey: Randomized and relaxed strategies in continuous-time Markov decision processes (2015)
  13. van Essen, J.Theresia; van Houdenhoven, Mark; Hurink, Johann L.: Clustering clinical departments for wards to achieve a prespecified blocking probability (2015)
  14. Zwart, Bert: Loss rates in the single-server queue with complete rejection (2015)
  15. Chaudhry, M.L.; Singh, Gagandeep; Gupta, U.C.: A simple and complete computational analysis of MAP/R/1 queue using roots (2013)
  16. Liang, William Kun; Balcıo\~{g}lu, Barış; Svaluto, Robert: Scheduling policies for a repair shop problem (2013)
  17. Ng, Bryan; Tan, Y.F.; Roger, Yong: Improved utilization for joint HCCA-EDCA access in IEEE 802.11e WLANs (2013)
  18. Zadeh, L.A.: Stochastic finite-state systems in control theory (2013)
  19. Bijvank, Marco; Johansen, Søren Glud: Periodic review lost-sales inventory models with compound Poisson demand and constant lead times of any length (2012)
  20. Bordley, Robert F.; Pollock, Stephen M.: Assigning resources and targets to an organization’s activities (2012)

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