Flow Time Analysis of an Early Arrival System Using Discrete-Time Hypogeometrical Distribution

Evaluation of flow time and service process of a queuing systems is a very special and powerful concept to analyze the flow time of any arriving data packet at any point of the system. In this paper, we construct and demonstrate the flow process and service process transition diagram to determine the flow time of a data packet in an early arrival finite discrete-time queueing system where arriving data packets are hypogeometrically distributed. We compute the probabilities of all starting states where a data packet can possibly enters and its flow process begins. We validated the obtained analytical results, for probability mass function of each starting state and total probability mass function, with simulation results.