A Queueing Model without Customer Waiting Applied in Flexible Production Line to Optimize the Number of Servers

The queueing model of Poisson arrival process, general distribution service process and infinite servers can be applied in the stochastic service system how many servers do we need to ensure the customers scarcely have to wait in queue. According to the additivity of Poisson distribution, the queueing theory principle and nature of probability theory, established the parameters such as the number of production cells, the average arrival rate of entering customers, the average amount of service time and the ratio of priority service time to total service time, figured out the optimal number of servers under the variable number of production cells in flexible production line. This work provided the basis for facilities planning on purchasing the proper number of servers.