The Numerical Solution of Transient Queueing Problems
ARMY WEAPONS COMMAND ROCK ISLAND IL SYSTEMS ANALYSIS DIV
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The report explores methods for obtaining transient solutions to queueing problems which can be represented in the form of differential- difference equations. Six distinct methods, representing the most frequently- encountere in the open literature, are discussed as to their value in numerical work. The method of Runge-Kutta integration of these equations was found to be superior to the numerical evaluation of analytic solutions of a particular queueing model. A generalized, Runge-Kutta programming package, written in FORTRAN IV for the IBM 36065, is presented and described in detail for use on queueing problems. Generality is achieved by requiring the user to write a subroutine to evaluate his queueing equations when required by the programming package.
- Theoretical Mathematics
- Operations Research