Diffusion Process for GGR Machining System with Spares, Balking and Reneging (RESEARCH NOTE)
Publish Year: 1385
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJE-19-1_005
تاریخ نمایه سازی: 20 اسفند 1400
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.
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Authors
K. P. S. Baghel
Mathematics, Basic Science Institute
G. C. Sharma
Mathematics, I.B.S, AGRA
Madhu Jain
Department Of Mathematics, IIT Roorkee,Roorkee,India