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 86 articles , 1 standard article )

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  1. Masuyama, Hiroyuki: Continuous-time block-monotone Markov chains and their block-augmented truncations (2017)
  2. Abouee-Mehrizi, Hossein; Baron, Opher: State-dependent $\mathrmM/\mathrmG/1$ queueing systems (2016)
  3. Cavazos-Cadena, Rolando: A Poisson equation for the risk-sensitive average cost in semi-Markov chains (2016)
  4. Chávez-Rodríguez, Selene; Cavazos-Cadena, Rolando; Cruz-Suárez, Hugo: Controlled semi-Markov chains with risk-sensitive average cost criterion (2016)
  5. Lees-Miller, John D.: Minimising average passenger waiting time in personal rapid transit systems (2016)
  6. Nobel, Rein: Retrial queueing models in discrete time: a short survey of some late arrival models (2016)
  7. Pourmoayed, Reza; Nielsen, Lars Relund; Kristensen, Anders Ringgaard: A hierarchical Markov decision process modeling feeding and marketing decisions of growing pigs (2016)
  8. Roy, Debjit; Bandyopadhyay, Arindam; Banerjee, Pritam: A nested semi-open queuing network model for analyzing dine-in restaurant performance (2016)
  9. Samanta, S.K.; Chaudhry, M.L.; Pacheco, A.: Analysis of $\mathrmBMAP/\mathrmMSP/1$ queue (2016)
  10. Sivaselvan, K.; Vijayalakshmi, C.: Implementation of Markovian queueing network model with multiple closed chains (2016)
  11. von Essen, Christian; Jobstmann, Barbara; Parker, David; Varshneya, Rahul: Synthesizing efficient systems in probabilistic environments (2016)
  12. Woo, Jae-Kyung: On multivariate discounted compound renewal sums with time-dependent claims in the presence of reporting/payment delays (2016)
  13. Abginehchi, Soheil; Larsen, Christian; Thorstenson, Anders: Exploring the economic consequences of letting a supplier hold reserve storage (2015)
  14. Dimitrakos, T.D.; Kyriakidis, E.G.: A single vehicle routing problem with pickups and deliveries, continuous random demands and predefined customer order (2015)
  15. Drekic, Steve; Stanford, David A.; Woolford, Douglas G.; McAlister, Vivian C.: A model for deceased-donor transplant queue waiting times (2015)
  16. 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)
  17. Kim, Sang-Hyun: Time to come clean? Disclosure and inspection policies for Green production (2015)
  18. 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)
  19. Özkan, Erhun; Houtum, Geert-Jan; Serin, Yasemin: A new approximate evaluation method for two-echelon inventory systems with emergency shipments (2015)
  20. Piunovskiy, Alexey: Randomized and relaxed strategies in continuous-time Markov decision processes (2015)

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