Research Article Open Access

Optimal D-policy for an Unreliable Single Server Queueing Model with Bulk Arrivals

Abstract

This paper analyzes an MX/G/1 queueing system where the server is subject to random breakdowns and the server applies the D-policy in providing the service. The steady-state queue size probability distribution is obtained using the embedded Markov chain technique. Key performance measures of the system are derived to obtain the optimal value of the threshold level D that minimizes the expected total cost per unit of time. The theoretical results are verified by special cases with published formulas.

Khalid Alnowibet* and Lotfi Tadj

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