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- Title
Asymptotically optimal control of N-systems with $$H_2^*$$ service times under many-server heavy traffic.
- Authors
Ghosh, Arka; Huang, Keguo
- Abstract
We address a control problem for a queueing system, known as the ' N-system,' under the Halfin-Whitt heavy-traffic regime. It has two customer classes and two server pools: servers from one pool can serve both customer classes, while servers from the other pool can only serve one class. The service time is assumed to follow a special case of hyper-exponential distributions, called the $$H^*_2$$ distribution, and customers are impatient. We consider an expected infinite-horizon discounted cost function, with linear holding and abandonment cost components. A static priority policy is proposed and is shown to be asymptotically optimal in a certain parameter regime, using weak convergence techniques.
- Subjects
OPTIMAL control theory; QUEUING theory; CLIENT/SERVER computing; INTERNET traffic; EXPONENTIAL functions; INFINITY (Mathematics); STOCHASTIC convergence
- Publication
Queueing Systems, 2017, Vol 86, Issue 1/2, p35
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-017-9518-1