Dmitry Efrosinin, Christopher Spannring, Janos Sztrik,
"Optimal allocation problem in the machine repairman system with heterogeneous servers"
: Information Technologies and Mathematical Modelling. 13th International Scientific Conference, named after A.F. Terpugov, ITMM 2014, Anzhero-Sudzhensk, Russia, November 20-22, 2014. Proceedings, Serie Communications in Computer and Information Science, Vol. 487, Seite(n) 113-122, 2014, ISSN: 1865-0929
Original Titel:
Optimal allocation problem in the machine repairman system with heterogeneous servers
Sprache des Titels:
Englisch
Original Buchtitel:
Information Technologies and Mathematical Modelling. 13th International Scientific Conference, named after A.F. Terpugov, ITMM 2014, Anzhero-Sudzhensk, Russia, November 20-22, 2014. Proceedings
Original Kurzfassung:
A controllable repairman model consists of $L$ machines subject to failures and two repair servers working at different speeds. The problem of optimal allocation of failed machines between the servers is examined.
The optimal control policy is calculated versus cost structures. As a result the optimal policy can be of threshold type, hysteretic type or have more complicated form.
It is shown that the corresponding Markov process for hysteretic control policy belongs to the class of the Quasi-Birth-and-Death processes (QBD) with three diagonal block infinitesimal matrix.
The stationary characteristics in this case are derived in matrix analytic form.
Some numerical results are used to illustrate a number of features of the controlled model under study.
Sprache der Kurzfassung:
Englisch
Serie:
Communications in Computer and Information Science
Forschungs-