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2007•Electronic workshops in computingOpen access

Approximation in an M/G/1 queueing system with breakdowns and repairs

Karim Abbas, Djamil Aı̈ssani

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Abstract

In this paper, we study the strong stability in the M/G/1 queueing system with breakdowns and repairs after perturbation of the breakdown’s parameter. Using the approximation conditions in the classical M/G/1 system, we obtain stability inequalities with exact computation of the constants. Thus, we can approximate the characteristics of the M/G/1 queueing system with breakdowns and repairs by the classical M/G/1 corresponding ones.

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What this paper is about

In this paper, we study the strong stability in the M/G/1 queueing system with breakdowns and repairs after perturbation of the breakdown’s parameter. Using the approximation conditions in the classical M/G/1 system, we obtain stability inequalities with exact computation of the constants. Thus, we can approximate the characteristics of the M/G/1 queueing system with breakdowns and repairs by the classical M/G/1 corresponding ones.

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Available abstract

In this paper, we study the strong stability in the M/G/1 queueing system with breakdowns and repairs after perturbation of the breakdown’s parameter. Using the approximation conditions in the classical M/G/1 system, we obtain stability inequalities with exact computation of the constants. Thus, we can approximate the characteristics of the M/G/1 queueing system with breakdowns and repairs by the classical M/G/1 corresponding ones.

Key concepts: Queueing theory, Layered queueing network, Queueing system, Computation, Applied mathematics, Computer science, Perturbation (astronomy), Stability (learning theory)

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