Intelligent queue system and optimization method of service window number thereof
A technology of service window and queuing system, applied in inspection devices, instruments, time registers, etc., can solve problems such as unreasonable allocation of resources, and achieve the effect of realizing resources
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[0034] The specific implementation is as follows:
[0035] Assume that customers arrive at a counter system with a single service window according to a Poisson process with rate λ(>0), that is, the sequence of time intervals between successive arrivals {τ n , n≥1} independent and subject to a negative exponential distribution with mean 1 / λ, ie F(t)=1-e -λt , t≥0. As each client arrives, if the service window is free, it goes directly to the service, otherwise the client joins the queue. When the service window finishes serving a client, the client leaves the system and the next client in the queue (if any) enters the service. Successive service times are assumed to be independently exponentially distributed with mean 1 / μ, i.e. The service time series {χ n , n≥1} independent, subject to the parameter μ (> 0) negative exponential distribution G(t) = 1-e -μt , t≥0.
[0036] The above system is called an exponential queuing system with a single service window, where it is def...
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