Optimal control of an M/G/1/K queueing system with combined F policy and startup time

Optimal control of an M/G/1/K queueing system with combined F policy and startup time

0.00 Avg rating0 Votes
Article ID: iaor20083712
Country: Netherlands
Volume: 135
Issue: 2
Start Page Number: 285
End Page Number: 299
Publication Date: Nov 2007
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: control
Abstract:

We investigate the optimal management problem of an M/G/1/K queueing system with combined F policy and an exponential startup time. The F policy queueing problem investigates the most common issue of controlling the arrival to a queueing system. We present a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining service time, to obtain the steady state probability distribution of the number of customers in the system. The method is illustrated analytically for exponential service time distribution. A cost model is established to determine the optimal management F policy at minimum cost. We use an efficient Maple computer program to calculate the optimal value of F and some system performance measures. Sensitivity analysis is also investigated.

Reviews

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 Your email address will not be published.