Title: Cost benefit analysis for non-Markovian bulk queue with server failure

Authors: S. Palaniammal; S. Pradeep

Addresses: Sri Krishna Adithya College of Arts and Science, Kovaipudur, Coimbatore, Tamil Nadu – 641042, India ' Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore, Tamil Nadu – 641008, India

Abstract: The queueing system is significantly impacted by a breakdown, which also has complex consequences. The queueing system's functioning and dysfunction as a consequence of on-going server failure are discussed in this paper. This study investigates the server's uninterruptible failure in the presence of numerous breaks and state-dependent arrivals. The distinctive qualities and distinguishing characteristics of the queueing system are given, along with a cost model and an application example that demonstrates how the model has developed theoretically. Along with a thorough study of performance measures, the lowest overall average cost is also provided by figuring out the ideal batch size for the service.

Keywords: cost benefit; bulk queue; server breakdown; supplementary variable technique; total average cost.

DOI: 10.1504/IJMOR.2024.140351

International Journal of Mathematics in Operational Research, 2024 Vol.28 No.4, pp.455 - 474

Received: 16 Mar 2023
Accepted: 26 Mar 2023
Published online: 05 Aug 2024 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article