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 102 articles , 1 standard article )

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  1. Cavazos-Cadena, Rolando; Cruz-Suárez, Daniel: Discounted approximations to the risk-sensitive average cost in finite Markov chains (2017)
  2. 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)
  3. Masuyama, Hiroyuki: Continuous-time block-monotone Markov chains and their block-augmented truncations (2017)
  4. 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)
  5. Padilla Tinoco, Silvia Valeria; Creemers, Stefan; Boute, Robert N.: Collaborative shipping under different cost-sharing agreements (2017)
  6. 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)
  7. Zhang, Yu; Kulkarni, Vidyadhar G.: Two-day appointment scheduling with patient preferences and geometric arrivals (2017)
  8. Abouee-Mehrizi, Hossein; Baron, Opher: State-dependent $\mathrmM/\mathrmG/1$ queueing systems (2016)
  9. Cavazos-Cadena, Rolando: A Poisson equation for the risk-sensitive average cost in semi-Markov chains (2016)
  10. Chávez-Rodríguez, Selene; Cavazos-Cadena, Rolando; Cruz-Suárez, Hugo: Controlled semi-Markov chains with risk-sensitive average cost criterion (2016)
  11. Chen, Zhongming; Qi, Liqun: Circulant tensors with applications to spectral hypergraph theory and stochastic process (2016)
  12. Lees-Miller, John D.: Minimising average passenger waiting time in personal rapid transit systems (2016)
  13. Nobel, Rein: Retrial queueing models in discrete time: a short survey of some late arrival models (2016)
  14. Pourmoayed, Reza; Nielsen, Lars Relund; Kristensen, Anders Ringgaard: A hierarchical Markov decision process modeling feeding and marketing decisions of growing pigs (2016)
  15. Roy, Debjit; Bandyopadhyay, Arindam; Banerjee, Pritam: A nested semi-open queuing network model for analyzing dine-in restaurant performance (2016)
  16. Samanta, S.K.; Chaudhry, M.L.; Pacheco, A.: Analysis of $\mathrmBMAP/\mathrmMSP/1$ queue (2016)
  17. Sivaselvan, K.; Vijayalakshmi, C.: Implementation of Markovian queueing network model with multiple closed chains (2016)
  18. von Essen, Christian; Jobstmann, Barbara; Parker, David; Varshneya, Rahul: Synthesizing efficient systems in probabilistic environments (2016)
  19. Woo, Jae-Kyung: On multivariate discounted compound renewal sums with time-dependent claims in the presence of reporting/payment delays (2016)
  20. Abginehchi, Soheil; Larsen, Christian; Thorstenson, Anders: Exploring the economic consequences of letting a supplier hold reserve storage (2015)

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