International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Controlled Arrival Machine Repair Problem with Working Vacation and Reattempts

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

Received on March 26, 2020
  ;
Accepted on July 11, 2020

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.

Conflict of Interest

The authors confirm that there is no conflict of interest to declare for this publication.

Acknowledgements

The authors would like to appreciate the effort from editors and reviewers. This study received no specific grant from government, commercial or non-profit funding organizations.

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