Simulation-Based Optimization for Resource Allocation Problem in Finite-Source Queue with Heterogeneous Repair Facility

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Abstract

The paper deals with an optimal allocation problem in a finite-source queuing system where the repair facility consists of multiple heterogeneous servers. A threshold-based allocation policy prescribes the usage of slower servers according to given threshold levels of the queue lengths. This problem under markovian settings can be treated as a continuous-time Markov decision problem which was efficiently solved by dynamic programming algorithms. However, under conditions of uncertainty, when there is no information about the transient characteristics of the system and, in addition, the total number of states is too large, the simulation-based optimization methods must be applied. We use both the reinforcement learning methods and the random search method based on simulated annealing to solve the discrete optimization problem. Experimental results are compared with an actual solution obtained by policy iteration. Advantages and disadvantages of the methods and the peculiarities of their use for controllable queueing system are discussed.
Original languageEnglish
Title of host publicationDistributed Computer and Communication Networks
Subtitle of host publication27th International Conference, DCCN 2024, Moscow, Russia, September 23–27, 2024, Revised Selected Papers
EditorsVladimir M. Vishnevsky, Konstantin E. Samouylov, Dmitry V. Kozyrev
PublisherSpringer Nature
Pages187-202
Number of pages16
Edition1
ISBN (Print)9783031808524
DOIs
Publication statusPublished - 16 Feb 2025

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume15460 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Fields of science

  • 101 Mathematics
  • 101019 Stochastics
  • 101018 Statistics
  • 101014 Numerical mathematics
  • 101024 Probability theory

JKU Focus areas

  • Digital Transformation

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