| Issue |
RAIRO-Oper. Res.
Volume 59, Number 5, September-October 2025
|
|
|---|---|---|
| Page(s) | 3423 - 3454 | |
| DOI | https://doi.org/10.1051/ro/2025128 | |
| Published online | 04 November 2025 | |
Analysis and optimisation of a heterogeneous servers with vacation scheme, system disaster and repair
1
Department of Mathematics, IFET College of Engineering, Villupuram, India
2
Department of Mathematics, UCE, BIT Campus, Anna University, Tiruchirappalli 620024, India
* Corresponding author: shapique@gmail.com
Received:
6
December
2024
Accepted:
10
September
2025
This paper investigates a heterogeneous server system that incorporates vacation schemes, system disasters, server failures, and repairs. Servers are categorized into two types based on their service capabilities. Vacation durations vary for each server, and jobs are assigned to servers using a fastest-first policy. Time-dependent solutions are derived using generating functions and Laplace transforms, alongside steady-state solutions. The study explores key performance measures and presents a comprehensive cost-revenue analysis for the proposed model. To optimize system performance, the particle swarm optimization algorithm is employed to minimize the total expected cost function. Numerical results are presented to illustrate the impact of system and cost parameters, providing insights into the dynamic behavior and economic implications of the system.
Mathematics Subject Classification: 60K25 / 60K30
Key words: Heterogeneous server / sleep modes / system disaster / repair / transient analysis / steady state probabilities / cost-revenue analysis
© The authors. Published by EDP Sciences, ROADEF, SMAI 2025
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