Optimal control of stochastic networks of $M/M/\infty$ queues with linear costs
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911147621351424 |
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| author | Carratelli, Giovanni Pugliese Lestas, Ioannis |
| author_facet | Carratelli, Giovanni Pugliese Lestas, Ioannis |
| contents | We consider an arbitrary network of $M/M/\infty$ queues with controlled transitions between queues. We consider optimal control problems where the costs are linear functions of the state and inputs over a finite or infinite horizon. We provide in both cases an explicit characterization of the optimal control policies. We also show that these do not involve state feedback, but they depend on the network topology and system parameters. The results are also illustrated with various examples. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_08572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal control of stochastic networks of $M/M/\infty$ queues with linear costs Carratelli, Giovanni Pugliese Lestas, Ioannis Optimization and Control Systems and Control 93E20, 60K25, 60J27 We consider an arbitrary network of $M/M/\infty$ queues with controlled transitions between queues. We consider optimal control problems where the costs are linear functions of the state and inputs over a finite or infinite horizon. We provide in both cases an explicit characterization of the optimal control policies. We also show that these do not involve state feedback, but they depend on the network topology and system parameters. The results are also illustrated with various examples. |
| title | Optimal control of stochastic networks of $M/M/\infty$ queues with linear costs |
| topic | Optimization and Control Systems and Control 93E20, 60K25, 60J27 |
| url | https://arxiv.org/abs/2509.08572 |