A Multilayer Perceptron and Cost Optimization of a Single-Server Queue with Bernoulli Feedback and Customer Impatience under a Hybrid Vacation Policy

A Multilayer Perceptron and Cost Optimization of a Single-Server Queue

  • Louiza BERDJOUDJ University of Bejaia, Research Unit LaMOS
  • Houssam Eddine Hamache University of Bejaia, Faculty of Exact Sciences, Applied Mathematics Laboratory
  • Aimen Dehimi University of Bejaia, Faculty of Exact Sciences, Applied Mathematics Laboratory
DOI: https://doi.org/10.19139/soic-2310-5070-2623
Keywords: Single-server queue, hybrid vacation, Multilayer Perceptrons (MLP), GWO algorithm, Cost optimization

Abstract

This paper deals with a single server queueing system, aiming to handle a hybrid vacation, operating withina finite space, and taking account of Bernoulli feedback and balking, alongside reneging and retention. In case of queueemptiness, coming after a normal busy period, the single server shifts to a working vacation. The server proceeds to takea vacation in case no customers are queued upon the server’s return from a working vacation. For analysis purposes, weemployed a recursive method to derive the system’s steady-state probabilities, thereby facilitating the evaluation of keyperformance metrics. The numerical results are compared with analytical results and those obtained using a soft computingtechnique based on a Multilayer Perceptron (MLP) system. Lastly, the GreyWolf Optimizer is applied to identify the optimalservice rates that minimize costs.
Published
2025-06-24
How to Cite
BERDJOUDJ, L., Hamache, H. E., & Dehimi, A. (2025). A Multilayer Perceptron and Cost Optimization of a Single-Server Queue with Bernoulli Feedback and Customer Impatience under a Hybrid Vacation Policy. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2623
Issue
Online First
Section
Research Articles
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