Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics
We consider queueing systems with n parallel queues under a Join the Shortest Queue (JSQ) policy in the Halfin-Whitt heavy-traffic regime. We use the martingale method to prove that a scaled process counting the number of idle servers and queues of length exactly two weakly converges to a two-dimens...
| Main Authors: | , |
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| Other Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute for Operations Research and the Management Sciences (INFORMS),
2019-03-13T14:16:24Z.
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| Subjects: | |
| Online Access: | Get fulltext |