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Optimal control of a queueing system with three heterogeneous servers
| Content Provider | Semantic Scholar |
|---|---|
| Author | Viniotis, Yannis |
| Copyright Year | 1989 |
| Abstract | We study the problem of optimally controlling a three server queueing system. Arriving customers join a single queue, which is served by three servers, 8 1 , 52 and 53. The servers are exponential, but of different rates. The total expected time a customer spends in the system is to be minimized. We show that the optimal policy can be characterized by three thresholds, m3,mb and mi, such that: 51, the fastest server, should be always busy; 53, the slowest server, should be activated only when m3 or more customers wait in the queue, and, given that 53 is idle (busy), 8 2 should be activated only when mi (mb) customers wait in the queue. We use stochastic dominance arguments to establish the results. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://repository.lib.ncsu.edu/dr/bitstream/1840.4/1267/1/CCSP_1989_05.pdf |
| Alternate Webpage(s) | https://repository.lib.ncsu.edu/bitstream/handle/1840.4/1267/CCSP_1989_05.pdf;sequence=1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
