TY - JOUR ID - 71614 TI - Diffusion Process for GGR Machining System with Spares, Balking and Reneging (RESEARCH NOTE) JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Baghel, K. P. S. AU - Sharma, G. C. AU - Jain, Madhu AD - Mathematics, Basic Science Institute AD - Mathematics, I.B.S, AGRA AD - Department Of Mathematics, IIT Roorkee,Roorkee,India Y1 - 2006 PY - 2006 VL - 19 IS - 1 SP - 49 EP - 54 KW - G/G/R Queue KW - Machine Repair KW - Standby KW - Diffusion KW - Balking KW - Reneging DO - N2 - 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. UR - https://www.ije.ir/article_71614.html L1 - https://www.ije.ir/article_71614_a864caa5bae1d953941f6b91b563b6be.pdf ER -