Modelling of computer and communication systems
Modelling of computer and communication systems
Mathematica: a system for doing mathematics by computer
Mathematica: a system for doing mathematics by computer
Probability, statistics, and queueing theory with computer science applications
Probability, statistics, and queueing theory with computer science applications
Solving differential equations with computer algebra systems software
Journal of Computers in Mathematics and Science Teaching
Are we careful enough when using computer algebra?
Computers in Physics
Probability and Statistics with Reliability, Queuing and Computer Science Applications
Probability and Statistics with Reliability, Queuing and Computer Science Applications
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
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Computer algebra systems such as Maple, Mathematica and MACSYMA are readily available for a wide range of PC's and workstations. Many college campuses have site licenses for these software tools and make them widely available to students through PC labs, across networks and on time sharing systems. Additionally student versions of these software tools are widely available at nominal cost. Computer algebra systems provide sophisticated computational support and are intuitive to use. In this paper we describe how we use a computer algebra system to support an upper division undergraduate course teaching elementary queueing theory. We discuss the significant enhancement added by using a computer algebra system for this course work. We present the traditional approach to this material, i.e., deriving the closed form solutions for a specific queueing model then we show how we approach the material using numerical solutions based on the general equations for steady state probabilities for a Poisson Birth-Death process. We present several examples and discuss the strengths of our approach.