Optimal control theory with economic applications
Optimal control theory with economic applications
Discrete flow networks: bottleneck analysis and fluid approximations
Mathematics of Operations Research
Dynamic scheduling of a multiclass fluid network
Operations Research
A Duality Theory for Separated Continuous Linear Programs
SIAM Journal on Control and Optimization
Optimal control of single-server fluid networks
Queueing Systems: Theory and Applications
Dynamic Scheduling of a Multiclass Fluid Model with Transient Overload
Queueing Systems: Theory and Applications
Asymptotically optimal parallel resource assignment with interference
Queueing Systems: Theory and Applications
Dynamic fluid-based scheduling in a multi-class abandonment queue
Performance Evaluation
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A two-station, four-class queueing network with dynamic scheduling of servers is analyzed. It is shown that the corresponding Markov decision problem converges under fluid scaling to a fluid optimal control model. The structure of the optimal policy for the fluid network, and of an asymptotically optimal policy for the queueing network are derived in an explicit form. They concur with the tandem &mgr;-rule, if this policy gives priority to the same flow of customers in both stations. In general, they are monotone with a linear switching surface.