Amita Bhagat
Department of Mathematics, Jaypee Institute of Information Technology, Noida, India.
Rachita Sethi
Department of Mathematics, G. D. Goenka University, Gurugram, India.
Deepika Garg
Department of Mathematics, G. D. Goenka University, Gurugram, India.
DOI https://doi.org/10.33889/IJMEMS.2021.6.1.018
Abstract
This paper addresses machine repair problem (MRP) with M identical operating machines and control arrival policy. The server is unreliable, and can break down during service which is further repaired soon so as to avoid interruption with the service process. The server may go for working vacation in case all the customers are served. The transient analysis of machine repair problem has been done using numerical technique. Various performance measures have been derived. With the help of tables and graphs the numerical results have been shown. The present investigation find applications in various industrial and workshop situations like Automobile repair shop (ARS).
Keywords- Machine repair, F-policy, Unreliable, Working vacation, Retrial policy.
Citation
Bhagat, A., Sethi, R., & Garg, D. (2021). Controlled Arrival Machine Repair Problem with Working Vacation and Reattempts. International Journal of Mathematical, Engineering and Management Sciences, 6(1), 279-295. https://doi.org/10.33889/IJMEMS.2021.6.1.018.