Simulation of M/M/1 Queuing System Using ANN

M.Sivakami Sundaria,* and S.Palaniammalb

Simulation of M/M/1 Queuing System Using ANN

Authors :

M.Sivakami Sundari^a,* and S.Palaniammal^b

Author Address :

^aDepartment of Mathematics, SKP Engineering College, Tiruvannamalai-606611, India.
^bDepartment of Mathematics, Sri Krishna College of Technology, Coimbatore-641042, India.

*Corresponding author.

Abstract :

Successful formulation of queuing systems, where packets arrive, wait in various queues, receive service and exit after some time depends on the nature of the arrival rate, service time,
number of servers, queue discipline, size of the population, number of entities in the system and delay. Such queuing processes are described by using the Kendall notation, which uses mnemonic characters that specify the queuing system A/B/C/D/E/F. Literature on queuing theory shows that, results based on theoretical formulations are well established for the queuing problems with Poisson arrivals and exponential service duration, and most of the queuing systems are modeled with combinations of single or multiple servers with finite or infinite capacity. However the
presence of uncertainty in the distribution of arrival and service rates makes these systems challenging in respect of analysis and design. Queuing simulation as a method, is used to analysis
how systems with limited resources distribute those resources to the elements waiting to be served. In this work, a single server infinite capacity queuing model simulated using ANN and the results are compared with those obtained from analytically.