Dmitry Efrosinin, Vladimir Rykov,
"Heuristic solution for the optimal thresholds in a controllable multi-server heterogeneous queueing system without preemption"
, in Communications in computer and information science, Serie Distributed Computer and Communications Networks, Nummer 279, Springer, 2015, ISBN: 978-3-319-05208-3, ISSN: 1865-0929
Heuristic solution for the optimal thresholds in a controllable multi-server heterogeneous queueing system without preemption
Sprache des Titels:
As it known the optimal policy which minimizes the long-run average cost per unit of time in a multi-server queueing system with heterogeneous servers without preemption has a threshold structure. It means that the slower server must be activated whenever all faster servers are busy and the number of customers in the queue exceeds some specified for this server threshold level. The optimal thresholds can be evaluated using the Howard iteration algorithm or by minimizing the function of the average cost which can be obtained in closed form as a function of unknown threshold levels. The both cases have sufficient restrictions on dimensionality of the model. In present paper we provide a heuristic method to derive expressions for the optimal threshold levels in explicit form as functions of system parameters like service intensities, usage and holding costs for an arbitrary number of servers. The proposed method is based on the fitting of the boundary planes between the areas where the optimal threshold takes a certain value.
Sprache der Kurzfassung:
Communications in computer and information science
Distributed Computer and Communications Networks
Anzahl der Seiten:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift