A storage model with a two-state random environment
Operations Research - Supplement to Operations Research: stochastic processes
Level-Crossing Properties of the Risk Process
Mathematics of Operations Research
Determining the control limit policy in a replacement model with linear restoration
Operations Research Letters
Clearing Models for M/G/1 Queues
Queueing Systems: Theory and Applications
Supply interruptions in a lost-sales inventory system with random lead time
Computers and Operations Research
EXACT RESULTS FOR A FLUID MODEL WITH STATE-DEPENDENT FLOW RATES
Probability in the Engineering and Informational Sciences
PRODUCTION-INVENTORY MODELS WITH AN UNRELIABLE FACILITY OPERATING IN A TWO-STATE RANDOM ENVIRONMENT
Probability in the Engineering and Informational Sciences
The impact of overload conditions on computer network reliability
Information Processing Letters
Analysis and investigation of reliability model in computer networks
SEPADS'07 Proceedings of the 6th WSEAS International Conference on Software Engineering, Parallel and Distributed Systems
Investigation of the reliability of multiserver computer networks
ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications
A mountain process with state dependent input and output and a correlated dam
Operations Research Letters
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We consider a single machine, subject to breakdown, that produces items to inventory, continuously and uniformly. While the machine is working (an ON period), there is a deterministic net flow into the buffer. There are also two different types of OFF periods; one is a repair operation initiated after a breakdown, and the other is a preventive maintenance operation. The length of an OFF period depends on the length of the preceding ON period. During OFF periods there is a uniform outflow from the inventory buffer. The buffer content process can then be described as a fluid model. The main tool employed in determining its steady-state law exploits an equivalence relationship between the buffer content process and the virtual waiting time process of a special single-server queue in which the interarrival times and the service requirements depend on each other. We present an appropriate cost function and provide an optimization scheme illustrated by some numerical results.