Did quite a bit of work in queueing systsems. Even recently saw a presentation by McDonald's on how they address drive-through and the resulting queues/
Mathematicians Create a Model for Queue Organizing with Self-Sustained ServersBy Russian Foundation for Basic Research, October 15, 2021
RUDN University mathematicians have proposed a model for optimizing the operation of queuing systems. The servers in the system are self-sustained and can determine when to start and stop working themselves.
The model is described in "Analysis of Multi-Server Queue with Self-Sustained Server," published in the journal Mathematics.
Most queuing theory models assume the presence of a "manager" that distributes customers to servers and determines when the server should start and stop working. In the proposed model the servers themselves make those decisions. Such a model can have potential applications for the investigation of real systems with low centralization of operation and the possibility of flexible choice of a working schedule, the authors say.
"The distinguishing feature of the considered model is the self-sufficiency of the servers," says Alexander Dudin, research center director at RUDN University.
From Russian Foundation for Basic Research
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