Optimal Control of the M/G/1 Queueing System with Removable Server-Linear and Non-Linear Holding Cost Function

1976 ◽  
Author(s):  
Peter Orkenyi
Keyword(s):  
Optimal Control ◽  
Cost Function ◽  
Queueing System ◽  
Removable Server ◽  
Non Linear ◽  
Holding Cost

Optimal control of the service rate in an M/G/1 queueing system

1978 ◽  
Vol 10 (3) ◽  
pp. 682-701 ◽  
Author(s):  
Bharat T. Doshi
Keyword(s):  
Optimal Control ◽  
Average Cost ◽  
Queueing System ◽  
Sufficient Conditions ◽  
Service Rate ◽  
Service Cost ◽  
Stationary Policy ◽  
Discounted Cost ◽  
Cost Rate ◽  
Holding Cost

We consider an M/G/1 queue in which the service rate is subject to control. The control is exercised continuously and is based on the observations of the residual workload process. For both the discounted cost and the average cost criteria we obtain conditions which are sufficient for a stationary policy to be optimal. When the service cost rate and the holding cost rates are non-decreasing and convex it is shown that these sufficient conditions are satisfied by a monotonic policy, thus showing its optimality.

Optimal control of the service rate in an M/G/1 queueing system

1978 ◽  
Vol 10 (03) ◽  
pp. 682-701 ◽  
Author(s):  
Bharat T. Doshi
Keyword(s):  
Optimal Control ◽  
Average Cost ◽  
Queueing System ◽  
Sufficient Conditions ◽  
Service Rate ◽  
Service Cost ◽  
Stationary Policy ◽  
Discounted Cost ◽  
Cost Rate ◽  
Holding Cost

We consider an M/G/1 queue in which the service rate is subject to control. The control is exercised continuously and is based on the observations of the residual workload process. For both the discounted cost and the average cost criteria we obtain conditions which are sufficient for a stationary policy to be optimal. When the service cost rate and the holding cost rates are non-decreasing and convex it is shown that these sufficient conditions are satisfied by a monotonic policy, thus showing its optimality.

Non-linear modelling and optimal control of a hydraulically actuated seismic isolator test rig

2013 ◽  
Vol 35 (1-2) ◽  
pp. 255-278 ◽  
Author(s):  
Stefano Pagano ◽  
Riccardo Russo ◽  
Salvatore Strano ◽  
Mario Terzo
Keyword(s):  
Optimal Control ◽  
Test Rig ◽  
Seismic Isolator ◽  
Linear Modelling ◽  
Non Linear ◽  
Hydraulically Actuated
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