References
- J.R. Artalejo, A classified bibliography of research on retrial queues: Progress in 1990–1999, Top 7 (1999), pp. 187–211. doi: 10.1007/BF02564721
- J.R. Artalejo, Accessible bibliography on retrial queues, Math. Comput. Model. 30 (1999), pp. 1–6. doi: 10.1016/S0895-7177(99)00128-4
- J.R. Artalejo and A. Gomez-Corral, Retrial Queueing Systems: A Computational Approach, Springer, Berlin, Heidelberg, 2008.
- J.R. Artalejo, A. Gómez-Corral, and M.F. Neuts, Analysis of multiserver queues with constant retrial rate, Eur. J. Oper. Res. 135 (2001), pp. 569–581. doi: 10.1016/S0377-2217(00)00330-1
- F. Benson and D.R. Cox, The productivity of machines requiring attention at random intervals, J. R. Stat. Soc., Ser. B 13 (1951), pp. 65–82.
- S.R. Chakravarthy and A. Agarwal, Analysis of a machine repair problem with an unreliable server and phase type repairs and services, Naval Res. Log. 50 (2003), pp. 462–480. doi: 10.1002/nav.10069
- S.-P. Chen, A mathematical programming approach to the machine interference problem with fuzzy parameters, Appl. Math. Comput. 174 (2006), pp. 374–387.
- G. Choudhury and J.C. Ke, An unreliable retrial queue with delaying repair and general retrial times under Bernoulli vacation schedule, Appl. Math. Comput. 230 (2014), pp. 436–450.
- D.R. Cox, The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables, Math. Proc. Camb. Philos. Soc. 51 (1955), pp. 433–441. doi: 10.1017/S0305004100030437
- D. Efrosinin and A. Winkler, Queueing system with a constant retrial rate, non-reliable server and threshold-based recovery, Eur. J. Oper. Res. 210 (2011), pp. 594–605. doi: 10.1016/j.ejor.2010.09.040
- G.I. Falin, A survey of retrial queues, Queueing Syst. 7 (1990), pp. 127–167. doi: 10.1007/BF01158472
- G.I. Falin and J.R. Artalejo, A finite source retrial queue, Eur. J. Oper. Res. 108 (1998), pp. 409–424. doi: 10.1016/S0377-2217(97)00170-7
- G.I. Falin and J.G.C. Templeton, Retrial Queues, Chapman & Hall, London, 1997.
- G. Fayolle, A simple telephone exchange with delayed feedbacks, in Teletraffic Analysis and Computer Performance Evaluation, O.J. Boxma, J.W. Cohen, and M.C. Tijms, Eds., North-Holland, Amsterdam, 1986, pp. 245–253.
- S. Gao and J. Wang, Performance and reliability analysis of an M/G/1-G retrial queue with orbital search and non-persistent customers, Eur. J. Oper. Res. 236 (2014), pp. 561–572. doi: 10.1016/j.ejor.2014.01.065
- A. Gomez-Corral, Stochastic analysis of a single server retrial queue with general retrial times, Naval Res. Log. 46 (1999), pp. 561–581. doi: 10.1002/(SICI)1520-6750(199908)46:5<561::AID-NAV7>3.0.CO;2-G
- U.C. Gupta and T.S.S. Srinivasa Rao, A recursive method to compute the steady state probabilities of the machine interference model: (M/G/1)/K, Comput. Oper. Res. 21 (1994), pp. 597–605. doi: 10.1016/0305-0548(94)90075-2
- U.C. Gupta and T.S.S. Srinivasa Rao, On the M/G/1 machine interference model with spares, Eur. J. Oper. Res. 89 (1996), pp. 164–171. doi: 10.1016/S0377-2217(96)90068-5
- L. Haque and M.J. Armstrong, A survey of the machine interference problem, Eur. J. Oper. Res. 179 (2007), pp. 469–482. doi: 10.1016/j.ejor.2006.02.036
- Jain, M., K. Rakhee, and S. Maheshwari, N-policy for a machine repair system with spares and reneging, Appl. Math. Model. 28 (2004), pp. 513–531. doi: 10.1016/j.apm.2003.10.013
- J.-C. Ke and C.-H. Lin, Sensitivity analysis of machine repair problems in manufacturing systems with service interruptions, Appl. Math. Model. 32 (2008), pp. 2087–2105. doi: 10.1016/j.apm.2007.07.004
- J.-C. Ke and C.-H. Lin, Maximum entropy approach to machine repair problem, Int. J. Serv. Oper. Inf. 5 (2010), pp. 197–208.
- H. Li and Y.Q. Zhao, A retrial queue with a constant retrial rate, server downs and impatient customers, Stochastic Models 21 (2005), pp. 531–550. doi: 10.1081/STM-200056021
- P. Moreno, An M/G/1 retrial queue with recurrent customers and general retrial times, Appl. Math. Comput. 159 (2004), pp. 651–666.
- K.E. Stecke and J.E. Aronson, Review of operator/machine interference models, Int. J. Prod. Res. 23 (1985), pp. 129–151. doi: 10.1080/00207548508904696
- J. Wang, Reliability analysis M/G/1 queues with general retrial times and server breakdowns, Prog. Nat. Sci. 16 (2006), pp. 464–473. doi: 10.1080/10020070612330017
- J. Wang, L. Zhao, and F. Zhang, Analysis of the finite source retrial queues with server breakdowns and repairs, J. Ind. Manag. Optim. 7 (2011), pp. 655–676. doi: 10.3934/jimo.2011.7.655
- K.-H. Wang, W.-L. Chen, and D.-Y. Yang, Optimal management of the machine repair problem with working vacation: Newton’s method, J. Comput. Appl. Math. 233 (2009), pp. 449–458. doi: 10.1016/j.cam.2009.07.043
- K.-H. Wang and M.-Y. Kuo, Profit analysis of the M/Ek/1 machine repair problem with a non-reliable service station, Comput. Ind. Eng. 32 (1997), pp. 587–594. doi: 10.1016/S0360-8352(96)00313-0
- D.-Y. Yang and Y.-C. Chiang, An evolutionary algorithm for optimizing the machine repair problem under a threshold recovery policy, J. Chin. Inst. Eng. 37 (2014), pp. 224–231. doi: 10.1080/02533839.2012.757050
- T. Yang and J.G.C. Templeton, A survey on retrial queues, Queueing Syst. 2 (1987), pp. 201–233. doi: 10.1007/BF01158899
- F. Zhang and J. Wang, Stochastic analysis of a finite source retrial queue with spares and orbit search, in MMB/DFT, J.B. Schmitt, Ed., Lecture Notes in Computer Science (vol. 7201), Springer, Kaiserslautern, Germany, 2012, pp. 16–30.
- F. Zhang and J. Wang, Performance analysis of the retrial queues with finite number of sources and service interruptions, J. Korean Stat. Soc. 42 (2013), pp. 117–131. doi: 10.1016/j.jkss.2012.06.002