Simulating a Single-Server Queue using the Q – Simulator

Authors: Irene K. Amponsah, Bennony K. Gordor, Francis Dogbey

Abstract:

This paper introduces a technique for simulating a single-server exponential queuing system. The technique called the Q-Simulator is a computer program which can simulate the effect of traffic intensity on all system average quantities given the arrival and/or service rates. The Q-Simulator has three phases namely: the formula based method, the uncontrolled simulation, and the controlled simulation. The Q-Simulator generates graphs (crystal solutions) for all results of the simulation or calculation and can be used to estimate desirable average quantities such as waiting times, queue lengths, etc.

Keywords: Automation system-Simulator, Simulation, Singleserver exponential system

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060775

References:

[1] L. M. Abolnikov, J. H. Dshalalow and A. M. Duhovny "A multilevel control bulk queuing system with vacationing server," in Operations Research Letters, vol.13.3, 1993, pp. 183-188.
[2] S. L. Bakers, "Queue simulation demo",2000,(Assessed 9/17/2010) http://hspm.sph.sc.edu/COURSES/J716/demos/StudentLines/Queues.ht ml1
[3] Kumar, B. Krishna, D. Arivudainambi, A. Vijayakumar. The M(x)/G/1 retrial queue with Bernoulli schedule and general retrial times, Pacific Journal of Operational Research, 2002 , http://findarticles.com/p/articles/mi_qa5473/is_200211/ai_n21323383/
[4] S. Nussbaum, J. E. Smith "Statistical Simulation of Symmetric Multiprocessor Systems" 35th Annual Simulation Symposium http://www.ece.wise.edu/
[5] K. Salah, K. El-Badawi and F. Haidari , "Performance analysis and comparison of interrupt-handling schemes in gigabit net. Computer Simulation, vol. 30.17, 2007, pp. 3425-3441.
[6] Shaul, K. Bar-Lev, M. Parlar, Perry, D, Stadje, W. Van Der Duyn, F. A. Schouten, "Applications of bulk queues to group testing models with incomplete identification " European Journal of Operational Research, vol.183.1, 2007, pp.226-237
[7] University of Malta / Department of Statistics and OR Tutorial. 2010. (Assessed9/17/2010) http://staff.um.edu.mt/jsk11/simweb/sq2/sq2.htm1