International Journal of Science, Engineering and TechnologyAuthors: Pushpandra Kumar, Parul Agarwal
Abstract: While queueing systems with random components have been thoroughly examined, this work presents an uncertain queueing model that takes the degree of customer behavior belief into account. Understanding the dynamic behavior of the underlying processes is the primary objective of mathematical modeling and analysis of queueing systems, allowing for intelligent and well-informed management choices. This study contributes to the body of research on rational consumers' decision-making in an uncertain setting where certain system parameters are random variables whose actual value is unknown to the consumers at the time of decision-making. In particular, models with a random arrival rate are of interest. Customers arrive in groups in this approach, and service and inter-arrival times are handled as unknown variables. The busy index and busy time are also explored, and the analytical formulae and uncertainty distribution are produced, respectively, in order to assess the performance of this suggested uncertain queueing model. Furthermore, several numerical examples are provided to clarify the results that were reached.
