Heuristic solution for optimal hysteretic policy in a queue with a reserve unreliable service facility
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
11th International Conference on Mathematical Models in Reliability
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
We study a Markovian queueing system supplied with main and reserve unre-
liable service facility. Usage of the reserve facility is controlled by a hysteretic
policy that depends on upper and lower threshold levels of queue length to
increase and decrease the total service rate. The system is analysed as a pro-
cess of type quasi-birth-and-death (QBD). For the cost structure we provide
a heuristic solution for the optimal hysteretic control policy prescribing the
activation of a reserve service facility with the aim to minimize the long-run
average cost per unit of time. Numerical examples illustrate the efficiency of
the theoretical results.
Sprache der Kurzfassung:
Englisch
Vortragstyp:
Hauptvortrag / Eingeladener Vortrag auf einer Tagung