Date of Award
Master of Science (MS)
Dean, Brian C
Stevenson , D E
Goddard , Wayne
Real life servers do not have IID service times - they slow down over time. This is usually dealt with by resetting or replacing the server. Often, however, it is not known how to determine when the best time to reset the server is. Resetting may be a costly process. We make an assumption that only some arrivals (we do not know which) are harmful. Then, we proceed to ﬁnd an optimal policy for resetting a server with a given service parameterization by observing the service paremeter directly, service times, or waiting times (with and without arrival times) when the harmful arrivals are IID.
Next, we develop some methods for dealing with harmful arrivals that are not IID. Short term memory is used to cope with rapidly changing situations and is found to perform better when each observation contains less information.
Volny iv, Frank, "Resetting a Degrading Single Server Queue" (2008). All Theses. 312.