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Department Of Mathematics, IIT Roorkee,Roorkee,India
Abstract
This paper deals with the G/G/R machining system consisting of M operating machines as well as S cold standbys. The concepts of balking and reneging are incorporated which make our model more versatile to deal with real time systems. The broken-down machines are sent to repair facilities consisting of R permanent repairmen. The failure times and repair times are generally identical and independent distributed random variables. The failed machines are repaired according to FIFO rules. By using a diffusion process, the steady-state probability density function for the queue size is obtained in terms of the first two moments of inter-arrival times and repair times of machines. Some expressions in explicit form that characterize the system performance are also mentioned.
Baghel, K. P. S., Sharma, G. C., & Jain, M. (2006). Diffusion Process for GGR Machining System with Spares, Balking and Reneging (RESEARCH NOTE). International Journal of Engineering, 19(1), 49-54.
MLA
K. P. S. Baghel; G. C. Sharma; Madhu Jain. "Diffusion Process for GGR Machining System with Spares, Balking and Reneging (RESEARCH NOTE)". International Journal of Engineering, 19, 1, 2006, 49-54.
HARVARD
Baghel, K. P. S., Sharma, G. C., Jain, M. (2006). 'Diffusion Process for GGR Machining System with Spares, Balking and Reneging (RESEARCH NOTE)', International Journal of Engineering, 19(1), pp. 49-54.
VANCOUVER
Baghel, K. P. S., Sharma, G. C., Jain, M. Diffusion Process for GGR Machining System with Spares, Balking and Reneging (RESEARCH NOTE). International Journal of Engineering, 2006; 19(1): 49-54.
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