Simulating a Single-Server Queue using the Q – Simulator

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.

Authors:

• Irene K. Amponsah
• Bennony K. Gordor
• Francis Dogbey

Keywords:

• Automation system-Simulator
• Simulation
• Singleserver exponential system

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