Work

Stochastic Clearing Systems with Multiple Input Processes

Year: 2019
Type: preprint
Abstract: In this paper, we consider stochastic clearing systems with multiple drifted Brownian motion inputs. First, we propose an instantaneous rate policy, which is shown to be the optimal one among a large class of renewal type clearing policies in terms of average cost. Second, we propose a service measure about average weighted delay rate, and provide a unified method to calculate the service measure under different clearing policies. Moreover, we prove that under a fixed clearing frequency, the instantaneous rate policy outperforms a large class of clearing policies, and the instantaneous rate hybrid policy performs better than time-based policy, in terms of average weighted delay rate.
Language: English
Open Access status: green
OpenAlex ID: W2995110729
Cites: 30
Cited by:
Related to: 10