A linear algebraic approach in analyzing the M/GE/1 and GE/M/1 queuing systems at equilibrium
Uses the algebraic approach in the queuing theory to derive the M/G/1 equilibrium solution for the number of jobs in the system when the probability distribution function representing the general distribution is the generalized exponential (GE-type). Similarly the GE/M/1 system is solved. Furthermor...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Faculty of Computer Science and Information Technology, University of Malaya
1996
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| Online Access: | http://psasir.upm.edu.my/id/eprint/42468/ http://psasir.upm.edu.my/id/eprint/42468/1/A%20linear%20algebraic%20approach%20in%20analyzing%20the.pdf |
| Summary: | Uses the algebraic approach in the queuing theory to derive the M/G/1 equilibrium solution for the number of jobs in the system when the probability distribution function representing the general distribution is the generalized exponential (GE-type). Similarly the GE/M/1 system is solved. Furthermore, it has been shown that as expected the solutions are equivalent to the maximum entropy solutions of the M/G/1 and G/M/1 systems respectively at equilibrium. |
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