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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering
Unreliable Retrial Queues In A Random Environment, James D. Cordeiro Jr.
Unreliable Retrial Queues In A Random Environment, James D. Cordeiro Jr.
Theses and Dissertations
This dissertation investigates stability conditions and approximate steady-state performance measures for unreliable, single-server retrial queues operating in a randomly evolving environment. In such systems, arriving customers that find the server busy or failed join a retrial queue from which they attempt to regain access to the server at random intervals. Such models are useful for the performance evaluation of communications and computer networks which are characterized by time-varying arrival, service and failure rates. To model this time-varying behavior, we study systems whose parameters are modulated by a finite Markov process. Two distinct cases are analyzed. The first considers systems with …
Approximate Analysis Of An Unreliable M/M/2 Retrial Queue, Brian P. Crawford
Approximate Analysis Of An Unreliable M/M/2 Retrial Queue, Brian P. Crawford
Theses and Dissertations
This thesis considers the performance evaluation of an M/M/2 retrial queue for which both servers are subject to active and idle breakdowns. Customers may abandon service requests if they are blocked from service upon arrival, or if their service is interrupted by a server failure. Customers choosing to remain in the system enter a retrial orbit for a random amount of time before attempting to re-access an available server. We assume that each server has its own dedicated repair person, and repairs begin immediately following a failure. Interfailure times, repair times and times between retrials are exponentially distributed, and all …