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

  • Houssam Eddine Hamache University of Bejaia, Faculty of Exact Sciences, Applied Mathematics Laboratory, 06000 Bejaia, Algeria
  • Louiza BERDJOUDJ University of Bejaia, Faculty of Exact Sciences, Research Unit LaMOS, 06000 Bejaia, Algeria
  • Aimen Dehimi University of Bejaia, Faculty of Exact Sciences, Applied Mathematics Laboratory, 06000 Bejaia, Algeria
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 within a finite space, and taking account of Bernoulli feedback and balking, alongside reneging and retention. In case of queue emptiness, coming after a normal busy period, the single server shifts to a working vacation. The server proceeds to take a vacation in case no customers are queued upon the server's return from a working vacation. For analysis purposes, we employed a recursive method to derive the system's steady-state probabilities, thereby facilitating the evaluation of key performance metrics. The numerical results are compared with analytical results and those obtained using a soft computing technique based on a Multilayer Perceptron (MLP) system. Lastly, the Grey Wolf Optimizer is applied to identify the optimal service rates that minimize costs.
Published
2025-06-24
How to Cite
Hamache, H. E., BERDJOUDJ, L., & 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, 14(3), 1308-1325. https://doi.org/10.19139/soic-2310-5070-2623
Issue
Vol 14 No 3 (2025)
Section
Research Articles
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