Optimal NT policies for M/G/1 system with a startup and unreliable server

Optimal NT policies for M/G/1 system with a startup and unreliable server

0.00 Avg rating0 Votes
Article ID: iaor20071505
Country: Netherlands
Volume: 50
Issue: 3
Start Page Number: 248
End Page Number: 262
Publication Date: Jul 2006
Journal: Computers & Industrial Engineering
Authors:
Keywords: markov processes
Abstract:

This paper studies the control policies of an M/G/1 queueing system with a startup and unreliable server, in which the length of the vacation period is controlled either by the number of arrivals during the idle period, or by a timer. After all the customers are served in the queue exhaustively, the server immediately takes a vacation and operates two different policies: (i) the server reactivates as soon as the number of arrivals in the queue reaches to a predetermined threshold N or the waiting time of the leading customer reaches T units; and (ii) the server reactivates as soon as the number of arrivals in the queue reaches to a predetermined threshold N or T time units have elapsed since the end of the completion period. If the timer expires or the number of arrivals exceeds the threshold N, then the server reactivates and requires a startup time before providing the service until the system is empty. Furthermore, it is assumed that the server breaks down according to a Poisson process and his repair time has a general distribution. We analyze the system characteristics for each scheme. The total expected cost function per unit time is developed to determine the optimal thresholds of N and T at a minimum cost.

Reviews

Required fields are marked *. Your email address will not be published.