[1] | F.J. Toft, H. Boothroyd, “A queueing model for spare coal faces”, Journal of the Operational Research Society, vol.10, pp.245–251, 1959. |
[2] | L.R. Goel, R. Gupta, “Multistandby system with repair and replacement policy”, Microelectronics Reliability, vol.23, no.5, pp.805- 808, 1983. |
[3] | K.E. Stecke, J.E. Aranson, “Review operator/machine interference models”, International Journal of Production Research, vol.23, pp.129-151, 1985. |
[4] | B.D. Sivazlian, K.H. Wang, “Economic analysis of the M/M/R machine repair problem with warm standbys”, Microelectronics Reliability, vol.29, pp.25-35, 1989. |
[5] | K.H. Wang, B.D. Sivazlian, “Cost analysis of the M/M/R machine repair problem with spares operating under variable service rates”, Microelectronics Reliability, vol.32, pp.1171–1183, 1992. |
[6] | S.M. Gupta, “Interrelationship between queueing models with balking and reneging and machine repair problem with warm spares”, Microelectronics Reliability, vol.34, no.2, pp.201–209, 1994. |
[7] | U.C. Gupta, T.S.S.S. Rao, “On the M/G/1 machine interference model with spares”, European Journal of Operational Research, vol.89, pp.164–171, 1996. |
[8] | M. Jain, “M/M/R machine repair problem with spares and additional servers”, Indian Journal of Pure and Applied Mathematics, vol.29, no.5, pp.517-524, 1998. |
[9] | T. Zhang, M. Xie, M. Horigome, “Availability and reliability of k-out-of-(M+N):G warm standbys systems”, Reliability Engineering and System Safety, vol.91, no.4, pp.381-387, 2006. |
[10] | J.C. Ke, Z.L. Su, K.H. Wang, Y.L. Hsu, “Simulation inferences for an availability system with general repair distribution and imperfect fault coverage”, Simulation Modelling Practice and Theory, vol.18, no.3, pp.338-347, 2010. |
[11] | Y. Li, X.Y. Meng, “Reliability analysis of a warm standby repairable system with priority in use”, Applied Mathematical Modelling, vol.35, no.9, pp.4295-4303, 2011. |
[12] | R.S. Dick, “Some theorems of single server queue with balking”, Operations Research, vol.18, pp.1193-1206, 1970. |
[13] | M. Jain, Premlata, “M/M/R machine repair problem with reneging and spares”, Journal of Engineering and Applied Sciences, vol.13, no.2, pp.139-143, 1994. |
[14] | J.C. Ke, K.H. Wang, “Cost analysis of M/M/R machine repair problem with balking, reneging and server breakdowns”, Journal of the Operational Research Society, vol.50, pp.275-282, 1999. |
[15] | A.I. Shawky, “The machine interference model: M/M/C/K/N with balking reneging and spare”, OPSEARCH, vol.36, no.1, pp. 25–35, 2000. |
[16] | J.C. Ke, K.H. Wang, “The reliability analysis of balking and reneging in repairable system with warm standbys”, Quality and Reliability Engineering international, vol.18, no.6, pp.467-478, 2002. |
[17] | M. Jain, G.C. Sharma, M. Singh, “M/M/R machine interference model with balking, reneging, spares and two modes of failure”, OPESEARCH, vol.40, no.1, pp.24-41, 2003. |
[18] | G.C. Sharma, M. Jain, K.P.S. Baghel, “Performance modeling of machining system with mixed standby components, balking and reneging”, International Journal of Engineering, vol.17, no.2, pp.169-180, 2004. |
[19] | M. Jain, G.C. Sharma, N. Singh, “Transient analysis of M/M/R machining system with mixed standbys, switching failures, balking, reneging and additional removable repairmen”, International Journal Of Engineering, vol.20, no.2, pp.169-182, 2007. |
[20] | K.H. Wang, W.L. Chen, D.Y. Yang, “Optimal management of the machine repair problem with working vacation: Newton's method”, Journal of Computational and Applied Mathematics, vol.233, no.2, pp.449-458, 2009. |
[21] | J.C. Ke, S.L. Lee, C.H. Liou, “Machine repair problem in production systems with spares and server vacations”, RAIRO- Operations Research, vol.43, no.1, pp.35 – 54, 2009. |
[22] | K. Dhouib, A. Gharbi, N. Landolsi, “Availability modelling and analysis of multi-product flexible transfer lines subject to random failures”, International Journal of Advanced Manufacturing Technology, vol.50, pp.329–341, 2010. |
[23] | Boudali, A. Economou, “Optimal and equilibrium balking strategies in the single server Markovian queue with catastrophes”, European Journal of Operational Research, vol.218, no.3, pp.708–715, 2012. |
[24] | M. Yadin, P. Naor, “Queueing system with a removable service station”, Operational Research Quarterly, vol.14, pp.393-405, 1963. |
[25] | D.P. Heyman, “Optimal operating policies for M/G/1 queueing system”, Operations Research, vol.16, pp.362-382, 1968. |
[26] | A.J.J. Talman, “A simple proof of the optimality of the best N-policy in the M/G/1 queueing control problem with removable server”, Statistica Neerlandica, vol.33, no.3, pp.143-150, 1979. |
[27] | J. Medhi, J.G.C. Templeton, “A poisson input queue under N- policy and with a general startup time”, Computers and Operations Research, vol.19, no.1, pp.35-41, 1992. |
[28] | H.W. Lee, J.O. Park, “Optimal strategy in N- policy production system with early set up”, Journal of the Operational Research Society, vol.48, no.3, pp.306-316,1997. |
[29] | K. Reddy, G.V. Nadarajan, R. Arumunganathan, “Analysis of a bulk queue with N- policy multiple vacations and setup times”, Computers and Operations Research, vol.25, no.11, pp.957-967, 2000. |
[30] | J.C. Ke, “The operating characteristic analysis on a general input queue with N policy and startup time”, Mathematical Methods of Operations Research, vol.57, no.2, pp.235-254, 2003. |
[31] | G. Choudhary, “Operating characteristics of an M/M/1 queueing system under N-policy with exponential setup time”, Elektronnoe Modelirovanine, vol.51, pp.235-254, 2001. |
[32] | R. Arumuganthan, S. Jeyakumar, “Steady state analysis of a bulk queue with multiple vacations, set up times with N-policy and closedown times”, Applied Mathematical Modelling, vol.29, pp.972-986, 2005. |
[33] | M. Jain, C. Bhargava, “N-policy machine repair system with mixed standbys and unreliable server”, Quality Technology & Quantitative Management, vol.6, no.2, pp.171-184, 2009. |
[34] | J. Wang, L. Zhao, F. Zhang, “Performance analysis of the finite source retrial queue with server breakdowns and repairs”, in Proceedings of the 5th International Conference on Queueing Theory and Network Applications, Beijing, China, 2010. |
[35] | K.H. Wang, D.Y. Yang, W.L. Pearn, “Comparative analysis of a randomized N-policy queue: An improved maximum entropy method”, Expert Systems with Applications, vol.38, no.8, 9461–9471, 2011 |
[36] | E.E. Lewis, Introduction to reliability engineering, 2nd ed., Wiley, New York, 1996. |
[37] | K.H. Wang, W.L. Dong, J.B. Ke, “Comparing of reliability and the availability between four systems with warm standby, switching failures”, Applied Mathematics and Computation, vol.183, pp.1310-1322, 2006. |
[38] | K.H. Wang, J.B. Ke, J.C. Ke, “Profit analysis of the M/M/R machine repair problem with balking, reneging and standby switching failures”, Computers and Operations Research, vol.34, pp.835-847, 2007. |
[39] | J.B. Ke, W.C. Lee, K.H. Wang, “Reliability and sensitivity analysis of a system with multiple unreliable service stations and standby switching failures”, Physica A, vol.380, pp.455-469, 2007. |
[40] | K.H. Wang, Y.J. Chen, “Comparative analysis of availability between three systems with general repair times, reboot delay and switching failures”, Applied Mathematics and Computation, vol.215, no.1, pp.384-394, 2009. |
[41] | K. Dhouib, A. Gharbi, “Throughput assessment of mixed-model flexible transfer lines with unreliable machines”, International Journal of Production Economics, vol.122, no.2, pp.619-627, 2009. |
[42] | J. Wang, F. Zhang, “Equilibrium analysis of the observable queues with balking and delayed repairs”, Applied Mathematics and Computation, vol.218, no.6, pp.2716–2729, 2011. |
[43] | M. Delasay, B. Kolfal, A. Ingolfsson, “Maximizing throughput in finite-source parallel queue systems”, European Journal of Operation Research, vol.217, no.3, pp.554-559, 2012. |