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- Title
On the asymptotic optimality of the cμ/ θ rule under ergodic cost.
- Authors
Atar, Rami; Giat, Chanit; Shimkin, Nahum
- Abstract
We consider an overloaded multi-server multi-class queueing model where customers may abandon while waiting to be served. For class i, service is provided at rate μ, and abandonment occurs at rate θ. In a many-server fluid regime, we show that prioritizing the classes in decreasing order of c μ/ θ asymptotically minimizes an ergodic holding cost, where c denotes the equivalent holding cost per unit time for class i.
- Subjects
QUEUING theory; ERGODIC theory; CONSUMERS; ASYMPTOTIC expansions; LYAPUNOV functions; MARKOV processes
- Publication
Queueing Systems, 2011, Vol 67, Issue 2, p127
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-010-9206-x