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Open research questions in Advanced Queuing Theory Analysis

75 gap statements mined from Advanced Queuing Theory Analysis papers in our 4.5M-paper local library, which holds 639 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.

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What the literature leaves open

  • Most existing approaches to joint modeling of item responses and response times are limited to dichotomous items. Current approaches do not account for the relationship between ability and speed at the population level. There is a need for a novel joint modeling framework that can handle polytomous or mixed-format items.

    A Joint Model for Graded Responses and Response Times · 2026 · DOI

  • The gap identified is the lack of understanding of how signal choice affects replica recommendations in autoscalers. Current systems do not account for the impact of ceiling quantization on signal information. The paper highlights the need for a formal analysis of signal processing in autoscalers.

    Thresholds Before Labels: Ceiling Quantization Determines When Autoscaling Signals Change Replica Decisions · 2026 · DOI

  • The assumption of preemptions in prior work may not always be realistic. The paper identifies a gap in prior work by considering a more realistic non-preemptive setting.

    Optimal resident physician supervision when patient care is non-preemptive · 2026 · DOI

  • Further studies can be conducted to apply queuing theory to other industries. The study can be extended to include multiple service channels, customer priorities, or different customer classes.

    A Queuing Theory Approach to Optimizing Service Efficiency in Restaurants · 2026 · DOI

  • There is a need to apply queuing theory to optimize service efficiency in restaurants. There is a lack of studies on the application of queuing theory in the restaurant industry.

    A Queuing Theory Approach to Optimizing Service Efficiency in Restaurants · 2026 · DOI

  • Future research can focus on applying the decomposition result to other types of inventory systems. The paper suggests studying the virtual outdating time process in more general settings.

    $$M/G/1+D$$ perishable inventory systems · 2026 · DOI

  • There is a need for a data-driven mechanism for dynamic hospital queue management.

    Adaptive queue management in healthcare using supervised Q-learning with time-varying reward and cost structures · 2026 · DOI

  • The study is limited to simulation modeling. The accuracy of the results depends on the size of the ensemble and the duration of the simulation. The width of the averaging window has an impact on the determination of the time constant.

    Information technology for determining transient behavior parameters in queuing systems VIA simulation modeling · 2026 · DOI

  • The classical theory of Schwartz distributions often lacks the fine growth and regularity control required for evolution equations with delays or stochastic perturbations. There is a need for a rigorous functional analytic framework for modern supply chain engineering.

    Time-Delay Fractional Equations in EV Battery Management · 2026 · DOI

  • Future research can apply the M/M/S queuing model to other banking services. Future research can evaluate the effectiveness of other queuing models in analyzing the performance of queuing systems. Future research can investigate the impact of other factors on the performance of queuing systems.

    Analisis Sistem Antrian pada Bank BRI KC Pasir Kaliki Bandung menggunakan Model Multi Channel Single Phase · 2026 · DOI

  • The standard way of analyzing switchbacks does not account for stochastic congestion. There is a need for a new approach to analyzing switchback experiments in service systems with stochastic congestion.

    Experimenting Under Stochastic Congestion · 2026 · DOI

  • The study identifies the challenge of estimating parameters from unreliable or limited sample observations.

    Modeling And Analysis Of Queueing Systems Using Fuzzy Estimators · 2026 · DOI

  • The study identifies a gap in existing approaches to queueing models, which do not adequately address the uncertainty that arises when parameters have to be estimated from unreliable or limited sample observations.

    Modeling And Analysis Of Queueing Systems Using Fuzzy Estimators · 2026 · DOI

  • The lack of a comprehensive characterization of the probability law of the two-state Markov modulated Poisson process in the literature. The need for a rigorous framework for extensions to more complex dynamics.

    Explicit distributions and time-changed dynamics of the two-state Markov modulated Poisson process · 2026 · DOI

  • Despite its wide range of applications, a comprehensive characterization of the probability law of $$N_t$$ N t has not been fully addressed in the literature.

    Explicit distributions and time-changed dynamics of the two-state Markov modulated Poisson process · 2026 · DOI

  • It notes that prior work has not fully characterized the geometric properties of occupancy measures in absorbing models.

    Absorbing markov decision processes: geometric properties and sufficiency of finite mixtures of deterministic policies · 2026 · DOI

  • The assumption of the monotonicity of production loss cost with respect to service states is no longer valid when the preset thresholds are differentiated by customer types.

    On the Optimal Policies of Time-Inhomogeneous Unreliable Service Systems · 2026 · DOI

  • The study of fluid flow systems modulated by double-ended queues subject to catastrophic failure and repair processes is challenging and has not received attention. Prior work has focused on classical single-ended queues, ignoring double-ended queue flow dynamics.

    Stationary analysis for the fluid flow system regulated by a double-ended queue subject to catastrophic failures and repairs · 2026 · DOI

  • To extend the model to account for other factors that may affect the overload risk of Kubernetes nodes. To develop a more efficient numerical method for solving the Fokker-Planck equation. To apply the model to other types of computing infrastructures.

    Estimating the overload risk of a Kubernetes node based on the Fokker–Planck equation and the first-to-critical-bound problem · 2026 · DOI

  • Existing approaches to resource allocation focus on deterministic node selection criteria or point forecasts of workloads. These approaches do not provide direct probabilistic estimates of critical state thresholds.

    Estimating the overload risk of a Kubernetes node based on the Fokker–Planck equation and the first-to-critical-bound problem · 2026 · DOI

  • Stochastic congestion can arise from temporarily limited supply or excess demand. Analytic strategies that do not account for this interference may be biased. The standard way of analyzing switchbacks may not account for stochastic congestion.

    Experimenting Under Stochastic Congestion · 2026 · DOI

  • The Nudge*(M) scheduling algorithm was introduced in this paper in a setting where jobs are partitioned into two types and the scheduler only knows the type of a job (but not its size) upon arrival. A simple explicit formula was presented for the optimal parameter M, denoted as Mopt, which is expressed in terms of the Laplace transforms of the type-1 and type-2 job size distributions.

    Tail Optimality and Performance Analysis of the Nudge*(M) Scheduling Algorithm · 2026 · DOI

  • Testing adjacent targets before adopting a richer estimator, - Investigating the global count-target frontier, - Examining the effects of different host architectures and operating systems, - Studying the impact of various lifecycle dynamics…

    Thresholds Before Labels: Ceiling Quantization Determines When Autoscaling Signals Change Replica Decisions · 2026 · DOI

  • The paper identifies a gap in the theory of perishable inventory systems by focusing on the oldest item on the shelf and relating its age to the workload in a queueing model.

    $$M/G/1+D$$ perishable inventory systems · 2026 · DOI

  • Incorporating fractional order memory kernels, stochastic convolutions, and circular economy reverse flow models inside the same unified LS setting.

    Time-Delay Fractional Equations in EV Battery Management · 2026 · DOI

Most-cited papers in Advanced Queuing Theory Analysis

Most recent work

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Open questions raised by papers listed on this page include: (1) There is a need for a novel joint modeling framework that can handle polytomous or mixed-format items (“A Joint Model for Graded Responses and Response Times”, 2026); (2) The gap identified is the lack of understanding of how signal choice affects replica recommendations in autoscalers (“Thresholds Before Labels: Ceiling Quantization Determines When Autoscaling…”, 2026); (3) There is a need to apply queuing theory to optimize service efficiency in restaurants (“A Queuing Theory Approach to Optimizing Service Efficiency in Restaurants”, 2026); (4) Future research can focus on applying the decomposition result to other types of inventory systems (“$$M/G/1+D$$ perishable inventory systems”, 2026); (5) There is a need for a data-driven mechanism for dynamic hospital queue management (“Adaptive queue management in healthcare using supervised Q-learning with…”, 2026). 75 gap statements have been mined from Advanced Queuing Theory Analysis papers in our 4.5M-paper local library, which holds 639 papers on the topic; the gaps come from whichever of those papers state one. They are mostly the research gaps the authors state and the papers' abstracts, plus future-work, limitations and challenges passages. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one, so you can read the original claim in context.

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