2009/11/12 by Young Myoung Ko, Ko, Young Myoung, Natarajan Gautam +1
Business, Management and Accounting · Decision Sciences · Health Professions · Mathematics · #Advanced Queuing Theory Analysis #FOS: Mathematics #Healthcare Operations and Scheduling Optimization #Probability (math.PR) #Probability and Risk Models #math.PR
paper · pdf · doi:10.48550/arxiv.0911.2436
arxiv created 2009/11/12 · openalex publication_date 2009/11/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider modeling time-dependent multi-server queues that include abandonments and retrials. For the performance analysis of those, fluid and diffusion models called "strong approximations" have been widely used in the literature. Although they are proven to be asymptotically exact, their effectiveness as approximations in critically loaded regimes needs to be investigated. To that end, we find that existing fluid and diffusion approximations might be either inaccurate under simplifying assumptions or computationally intractable. To address that concern, this paper focuses on developing a methodology by adjusting the fluid and diffusion models so that they significantly improve the estimation accuracy. We illustrate the accuracy of our adjusted models by performing a number of numerical experiments.