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In this paper, we propose the extended Poisson distribution which unifies some well-known models in finite queues that have been used to model congestion in vehicular, pedestrian traffic networks as well as the Conway–Maxwell Poisson distribution (Kadane et al., 2006). The main issue is to formulate a M/G/1 queue wherein the service distribution is the Exponential Conway–Maxwell Poisson distribution...
In this paper, we introduced a new distribution for the minimum service time in the system with a superserver, the Minimum-Conway-Maxwell-Poisson-exponential distribution (or MINCOMPE distribution). The service was attached to the arrival. Owing this fact, the service finishes when a customer arrives. The MINCOMPE distribution contains submodels, such as, the Minimum-geometric-exponential, Minimum-Poisson-exponential...
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