Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
December 21, 2025Open Access

Markov Modelling Approach for Queues with Correlated Service Times -- the M/MD/2 Model

View Full Paper
Ask AI
Bookmark
Share

Authors

STSantosh ThapaYZYiqiang Q. Zhao

Discussion

Loading...

Member takes

Overview

New Markov modelling approach reveals effects of positive correlation on queueing system performance.

Key Points

  • This research aims to develop a Markov modelling approach for analyzing queueing systems with correlated service times.
  • Developed a Markov chain model for a queueing system with two correlated exponential servers.
  • Proposed the $M/M_D/2$ queue model with arrivals following a Poisson process.
  • Provided an analytic solution for the stationary distribution of the queueing process.
  • Demonstrated that the queueing process behaves as a Markov chain.
  • Established an analytic solution for the stationary distribution.
  • Highlighted the impact of positive correlation on system performance compared to independent services.

Cite This Study

Thapa et al. (2025) studied this question.

synapsesocial.com/papers/69473b64db9c958d0dfca9fehttps://doi.org/10.48550/arxiv.2505.07648
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The impact of the correlation coefficient of interarrival and service times on queueing performance: The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1865" altimg="si915.svg"><mml:mrow><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mi>M</mml:mi><mml:mo>/</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> case2024 · 1 citations
  2. 2Single server queuing model of Markov modulated bursty arrival with service following phase type distributions for underlay and overlay customers2024 · 4 citations
  3. 3Study of a two types of general heterogeneous service queueing system in a single server with optional repeated service and feedback queue2024 · 3 citations
  4. 4Analysis of Markovian Arrivals and Service with Applications to Intermittent Overload2024
  5. 5Finite MX/M/C Queue with State Dependent Service, Two-Class Arrivals and Impatient Customers2024