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Recent Developments in Mathematical Analysis of Queues for Machine Repair Problem:A Short Survey
The present paper is based on survey of machine repair problem (MRP). We have reviewed machine repair problems studied by many researchers and given some basic performance characteristic of queuing models. A bunch of work has been previously done on this front from past since it is realistic phenomena of many service systems. The current investigation presents a brief review of the major works done on machine repair problem (MRP) in past years. The bibliography consists of research articles which were published in journals of repute during the period 1994-2015. While determining the performance of any machining system, the main aim of decision makers or entrepreneurs is to get the maximum profit and reduce the inconvenience due to delay in service to the users; these objectives can be achieved by proper scheduling of the system. The main aim of this survey paper is to analyze various problems related to machine repair problem. We have tried to collect important results in the theory of machine repair problem and hope this will help other researchers to study such kind of problems.
Machine Repair Problem (MRP), Queuing Models, Busy Cycle, Performance Indices, Standbys.
- J. C. Ke, S. L. Lee and 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.
- S. Maheshwari and S. Ali, “Machine repair problem with mixed spares, balking and reneging” International Journal of Theoretical & Applied Science, vol. 5, no. 1, pp. 75-83, 2013.
- M. R. Raj, and B. Chandrasekar, “An analysis of steady-state for machine repair problem with a single service station subject to breakdown,” International Journal of Science and Research, vol. 4, no. 1, pp. 1697-1699, 2015.
- M. Jain, and Preeti, “Cost analysis of a machine repair problem with standby, working vacation and server breakdown,” International Journal of Mathematics in Operations Research, vol.6, no. 4, pp. 437-451, 2014.
- M. A. El-Damcese, and M. S. Shama, “Reliability and availability analysis of a standby repairable system with degradation facility,” International Journal of Research and Reviews in Applied Sciences, vol.16, no. 3, pp. 501-507, 2013.
- D. C. Sharma, “Non-perfect M/M/R machine repair problem with spares and two modes of failure,” International Journal of Scientific Engineering Research, vol. 2, no. 12, pp. 1-5, 2011.
- C. D. Liou, “Optimization analysis of the machine repair problem with multiple vacations and working breakdowns,” Journal of Industrial Management Optimization, vol. 11, no. 1, pp. 83-104, 2015.
- M. Jain, “An (m, M) machine repair problem with spares and state dependent rates: A diffusion process approach,” Microelectronics Reliability, vol. 37, no. 6, pp. 929-933, 1996.
- V. Goswami, and P. V. Laxmi, “Analysis of discrete-time machine repair problem with two removable servers under triadic policy,” International Journal of Mathematical Modelling & Computations, vol. 5, no. 1, pp. 29- 40, 2015.
- K. H. Wang, W. L. Chen, and 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.
- K. H. Wang, C. D. Liou and and Y. L. Wang, “Profit optimization of the multiple-vacation machine repair problem using particle swarm optimization,” Journal International of Systems Science, vol. 45, no. 8, pp. 1769-1780, 2014.
- D. Yue, W. Yue, and H. Qi, “Analysis of a machine repair system with warm spares and n-policy vacations,” 7th International Symposium on Operations Research and Its Applications, pp. 190-198, 2008.
- D. Y. Yang and, and Y. C. Chiang, “An evolutionary algorithm for optimizing the machine repair problem under a threshold recovery policy,” Journal of the Chinese Institute of Engineers, vol. 37, no. 2, pp. 224-231, 2014.
- C. H. Wu, and J. C. Ke, “Multi-server machine repair problems under a (V, R) synchronous single vacation policy,” Applied Mathematical Modelling, vol. 38, no. 7-8, pp. 2180-2189, 2014.
- J. C. Ke, and C. H. Wu, “Multiserver machine repair model with standbys and synchronous multiple vacation,” Computers & Industrial Engineering, vol. 62, no. 1, pp. 296-305, 2012.
- M. J. Armstrong, “Age repair policies for the machine repair problem,” European Journal of Operational Research, vol. 138, no. 1, pp. 127-141, 2002.
- S. C. Albright, “Optimal maintenance repair policies for the machine repair problem” Naval Research Logistics, vol. 27, no. 1, pp.17-27, 1980.
- S. M. Gupta, “Interrelationship between queuing models with balking and reneging and machine repair problem with warm spares,” Microelectronics Reliability, vol. 34, no. 2, pp. 201-209, 1994.
- H. W. Lee, S. H. Yoon, and S. S. Lee, “Continuous approximations of the machine repair system,” Applied Mathematical Modelling, vol. 19, no. 9, pp. 550-559, 1995.
- M. Jain, G. C. Sharma, and N. Singh, “N-Policy for M/G/1 machine repair queuing system with spares, degraded failure, Bernoulli feedback and set up,” Assam Statistical Review, vol. 21, no. 1, pp. 27-48, 2007.
- M. Jain, G. C. Sharma, and 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.
- N. Singh, M. Jain, and G. C. Sharma, “Diffusion approximation for GX/GY/R+S Machine Repair Problem (MRP) with mixed spares, balking, reneging and additional removable repairmen,” Journal of King Saud University- Engineering Sciences, vol. 24, no. 1, pp. 47-70, 2013.
- M. Jain, C. Shekhar, and S. Shukla, “A time-shared machine repair problem with mixed spares under N-policy,” Journal of Industrial Engineering International, vol. 12, no. 2, pp. 145-157, 2016.
- C. Shekhar, M. Jain, A. A. Raina, and R. P. Mishra, “Sensitivity analysis of repairable redundant system with switching failure and geometric reneging,” Decision Science Letters, vol. 6, no.4, pp. 337-350, 2017.
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