An Advanced Study of Multifarious Queueing Models with Reference to Markovian Assumptions

Abstract

newline The ultimate objective of this research work is to analyze the multifarious queueing systems to understand the behavior of their underlying processes so that the standard and intelligent decisions can be made for the demanding services of the society. newlineIn a specific queueing system based on Markovian assumptions, the problem is to determine the probability distribution of the given queue length, waiting time of customers and the busy period. So, the queueing theory uses queueing models on the basis of different types of probability equations that arises in daily life events. Formulae for each model indicate how the corresponding queueing system should perform, for the average amount of waiting time under a variety of circumstances. Therefore, these queueing models are helpful to determine how to resolve the real-life problems in the most effective way. These proposed models will enable us, not only to find an appropriate balance between the cost of service and the amount of customers but also analyze the performance of the communication network.