Analysis of a renewal batch arrival queue with a fault-tolerant server using shift operator method

• Published in: Operational research Vol. 22; no. 3; pp. 2831 - 2858
• Main Authors: Yu, Miaomiao, Tang, Yinghui
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.07.2022; Springer Berlin Heidelberg
• Subjects: Algorithms; Customers; Difference equations; Fault tolerance; Markov chains; Mathematical analysis; Operations research; Original Paper; Queues; Transition probabilities

Motivated by the fault tolerance for manufacturing, we investigate a renewal input bulk arrival queue with a fault-tolerant server, in which the server can keep working with a low service rate even if the partial failure occurs. Only when there are no customers in the system, the partial failure can...