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58 Results Found

  • Article
  • Open Access
12 Citations
3,213 Views
29 Pages

Multi-Class, Multi-Server Queueing Inventory System with Batch Service

  • Khamis A. K. ALMaqbali,
  • Varghese C. Joshua and
  • Achyutha Krishnamoorthy

6 February 2023

In this paper, we consider a queueing inventory system with batch arrival and batch service processes. Customers arrive in batches of sizes 1,2,…,k, according to a marked compound Poisson process. We call a batch of customers as belonging to j...

(This article belongs to the Special Issue Stochastic Modeling and Applied Probability, 2nd Edition)
  • Article
  • Open Access
5 Citations
2,101 Views
19 Pages

Analysis of a Queueing Model with Flexible Priority, Batch Arrival, and Impatient Customers

  • Alexander Dudin,
  • Olga Dudina,
  • Sergei Dudin and
  • Agassi Melikov

In this study, we consider a multi-server priority queueing model with batch arrivals of two types of customers, a finite buffer, and two input finite buffers for storing customers that cannot be admitted for service immediately upon arrival. The tra...

  • Article
  • Open Access
8 Citations
3,517 Views
22 Pages

18 September 2023

Various transportation services exist, such as ride-sharing or shared taxis, in which customers receive services in a batch of flexible sizes and share fees. In this study, we conducted an equilibrium analysis of a variable batch service model in whi...

(This article belongs to the Special Issue Advances in Markovian Dynamic and Stochastic Optimization Models in Diverse Application Areas)
  • Article
  • Open Access
20 Citations
4,586 Views
17 Pages

31 May 2021

A single-server non-pre-emptive priority queueing system of a finite capacity with many types of customers is analyzed. Inter-arrival times can be correlated and batch arrivals are allowed. Possible unreliability of the server, implying the loss of a...

(This article belongs to the Special Issue Applications of Mathematical Analysis in Telecommunications)
  • Article
  • Open Access
453 Views
25 Pages

16 July 2026

This work analyzes an observable batch service queuing system with a proportional pricing coefficient and multiple access points. Based on whether the system is idle upon arrival, we derive the equilibrium threshold strategy for customers to either w...

(This article belongs to the Special Issue Advanced Mathematical Methods for Machine Learning, Neural Networks, and Computer Vision)
  • Article
  • Open Access
12 Citations
3,990 Views
26 Pages

24 February 2023

In this paper, we discuss the waiting-time distribution for a finite-space, single-server queueing system, in which customers arrive singly following a Poisson process and the server operates under (a,b)-bulk service rule. The queueing system has a f...

(This article belongs to the Special Issue Probability and Stochastic Processes with Applications to Communications, Systems and Networks, 2nd Edition)
  • Proceeding Paper
  • Open Access
1,595 Views
4 Pages

On Single Server Queues with Batch Arrivals

  • Vitaly Sobolev and
  • Alexander Condratenko

We consider a queuing system GIν|M|1|∞ with arrival of customers in batches, general renewal arrivals, exponential service times, single service channels and an infinite number of waiting positions, where customers are serviced in the order...

(This article belongs to the Proceedings of The 1st International Online Conference on Mathematics and Applications)
  • Feature Paper
  • Article
  • Open Access
285 Views
18 Pages

4 September 2026

We derive the joint probability-generating function of the number of customers served and the number of customers lost in busy periods of MX/M/1/n queueing systems with balking. Capitalizing on the Markov-regenerative nature of these systems, we prop...

(This article belongs to the Section D: Statistics and Operational Research)
  • Article
  • Open Access
348 Views
25 Pages

9 September 2026

Predicting queue waiting time for batch job schedulers in high-performance computing (HPC) systems is a critical research topic aimed at maximizing resource utilization efficiency and enhancing user experience. However, existing prediction approaches...

(This article belongs to the Special Issue New Trends and Applications of High-Performance Computing)
  • Article
  • Open Access
369 Views
33 Pages

3 July 2026

We study a retrial queueing system with N ranked heterogeneous service devices where processing times at each device follow a phase-type (PH) distribution with device-dependent parameters. Requests arrive according to a Batch Markovian Arrival Proces...

(This article belongs to the Special Issue Recent Stochastic and Statistical Approaches for Modeling Complex Systems and Dependent Variables)
  • Article
  • Open Access
7 Citations
2,844 Views
21 Pages

Retrial BMAP/PH/N Queueing System with a Threshold-Dependent Inter-Retrial Time Distribution

  • Valentina I. Klimenok,
  • Alexander N. Dudin,
  • Vladimir M. Vishnevsky and
  • Olga V. Semenova

16 January 2022

In this paper, we study a multi-server queueing system with retrials and an infinite orbit. The arrival of primary customers is described by a batch Markovian arrival process (BMAP), and the service times have a phase-type (PH) distribution. Previous...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
271 Views
18 Pages

15 September 2026

Dynamic roll-on/roll-off terminals require an executable decision between yard planning and vessel stowage: which yard lane to release, how many accessible vehicles to move, and which ferry lane to receive the ordered batch. We formulate this interfa...

(This article belongs to the Special Issue Theoretical and Applied Mathematics in Supply Chain Management, 2nd Edition)
  • Proceeding Paper
  • Open Access
1,714 Views
7 Pages

Dynamic Job Queue Management for Interactive and Batch Computation on HPC System

  • Sergey Denisov,
  • Vadim Kondrashev and
  • Alexander Zatsarinny

The article discusses HPC system computing resources distribution management during execution of interactive and batch jobs. A set of queues for interactive and batch jobs is proposed, and an algorithm for the dynamic resources allocation between the...

(This article belongs to the Proceedings of 15th International Conference “Intelligent Systems” (INTELS’22))
  • Article
  • Open Access
3 Citations
1,521 Views
11 Pages

1 December 2006

This work constructs the membership functions of the system characteristics of a batch-arrival queuing system with multiple servers, in which the batch-arrival rate and customer service rate are all fuzzy numbers. The α-cut approach is used to transf...

  • Article
  • Open Access
2 Citations
1,956 Views
17 Pages

On the Optimal Input Rate in Queues with Batch Service

  • Michele Pagano,
  • Igor Tananko and
  • Elena Stankevich

1 July 2023

In recent years, queuing systems with batch service are emerging as powerful and flexible mathematical models in different frameworks. In this paper, we consider a single server queuing system with Poissonian arrivals, infinite buffers, and a constan...

(This article belongs to the Special Issue Queueing Theory and Network Applications)
  • Article
  • Open Access
2,293 Views
24 Pages

1 July 2025

While deep learning has advanced object detection through hierarchical feature learning and end-to-end optimization, conventional random sampling paradigms exhibit critical limitations in addressing hyperspectral ambiguity and low-distinguishability...

  • Article
  • Open Access
32 Citations
6,230 Views
25 Pages

Queuing System with Two Types of Customers and Dynamic Change of a Priority

  • Valentina Klimenok,
  • Alexander Dudin,
  • Olga Dudina and
  • Irina Kochetkova

The use of priorities allows us to improve the quality of service of inhomogeneous customers in telecommunication networks, inventory and health-care systems. An important modern direction of research is to analyze systems in which priority of a cust...

(This article belongs to the Section E: Applied Mathematics)
  • Feature Paper
  • Article
  • Open Access
422 Views
24 Pages

Blockchain-based infrastructures have increasingly been adopted for secure and tamper-resistant management of academic credentials. Despite the advantages offered by blockchain technology, existing blockchain-based credential management systems conti...

(This article belongs to the Topic Security and Privacy in Distributed and Trustless Systems)
  • Article
  • Open Access
3 Citations
2,862 Views
27 Pages

11 September 2024

There are various types of sharing economy services, such as ride-sharing and shared-taxi rides. Motivated by these services, we consider a single-server queue in which customers probabilistically select the type of service, that is, the single servi...

(This article belongs to the Special Issue Advances in Queueing Theory and Applications)
  • Article
  • Open Access
1 Citations
2,580 Views
16 Pages

27 October 2021

The transient behavior of the finite-buffer queueing model with batch arrivals and generally distributed repeated vacations is analyzed. Such a system has potential applications in modeling the functioning of production systems, computer and telecomm...

  • Article
  • Open Access
2 Citations
1,968 Views
19 Pages

A Dual Tandem Queue as a Model of a Pick-Up Point with Batch Receipt and Issue of Parcels

  • Alexander N. Dudin,
  • Olga S. Dudina,
  • Sergei A. Dudin and
  • Agassi Melikov

31 January 2025

Parcel delivery networks have grown rapidly during the last few years due to the intensive evolution of online marketplaces. We address the issue of managing the operation of a network’s pick-up point, including the selection of the warehouse&r...

(This article belongs to the Special Issue Recent Research in Queuing Theory and Stochastic Models, 2nd Edition)
  • Article
  • Open Access
12 Citations
3,182 Views
11 Pages

A Multi-Type Queueing Inventory System—A Model for Selection and Allocation of Spectra

  • Thulaseedharan Salini Sinu Lal,
  • Varghese Chaukayil Joshua,
  • Vladimir Vishnevsky,
  • Dmitry Kozyrev and
  • Achyutha Krishnamoorthy

24 February 2022

The model discussed in this paper provides an efficient mechanism for the selection and allocation of available limited spectra for transmission of heterogeneous data in a network. The data packets (customers), belonging to different classes, arrive...

(This article belongs to the Special Issue Advances in Queueing Theory)
  • Article
  • Open Access
2 Citations
2,806 Views
16 Pages

1 November 2019

We study strategic behavior in the G e o / G e o K / 1 queueing system under both fully observable case and fully unobservable case. Furthermore, equilibrium and socially optimal strategies are obtained according to the available informatio...

  • Article
  • Open Access
8 Citations
3,515 Views
14 Pages

Digital Twin Data Management: Framework and Performance Metrics of Cloud-Based ETL System

  • Austeja Dapkute,
  • Vytautas Siozinys,
  • Martynas Jonaitis,
  • Mantas Kaminickas and
  • Milvydas Siozinys

12 February 2024

This study delves into the EA-SAS platform, a digital twin environment developed by our team, with a particular focus on the EA-SAS Cloud Scheduler, our bespoke program designed to optimize ETL (extract, transform, and load) scheduling and thereby en...

(This article belongs to the Special Issue Advances in Digital Twins for Manufacturing)
  • Article
  • Open Access
3 Citations
2,318 Views
17 Pages

The Geo/Ga,Y/1/N Queue Revisited

  • Mohan Chaudhry and
  • Veena Goswami

1 September 2022

We not only present an alternative and simpler approach to find steady-state distributions of the number of jobs for the finite-space queueing model Geo/Ga,Y/1/N using roots of the inherent characteristic equation, but also correct errors in some pub...

(This article belongs to the Special Issue Probability and Stochastic Processes with Applications to Communications, Systems and Networks)
  • Article
  • Open Access
4 Citations
4,436 Views
22 Pages

Automated Parcel Locker Configuration Using Discrete Event Simulation

  • Eugen Rosca,
  • Floriana Cristina Oprea,
  • Anamaria Ilie,
  • Stefan Burciu and
  • Florin Rusca

20 July 2025

Automated parcel lockers (APLs) are transforming urban last-mile delivery by reducing failed distributions, decoupling delivery from recipient availability, optimizing carrier routes, reducing carbon foot-print and mitigating traffic congestion. The...

(This article belongs to the Special Issue Modelling and Simulation of Transportation Systems)
  • Article
  • Open Access
2 Citations
2,731 Views
13 Pages

Entropy Analysis of a Flexible Markovian Queue with Server Breakdowns

  • Messaoud Bounkhel,
  • Lotfi Tadj and
  • Ramdane Hedjar

3 September 2020

In this paper, a versatile Markovian queueing system is considered. Given a fixed threshold level c, the server serves customers one a time when the queue length is less than c, and in batches of fixed size c when the queue length is greater than or...

(This article belongs to the Special Issue Entropy: The Scientific Tool of the 21st Century)
  • Article
  • Open Access
5 Citations
3,118 Views
17 Pages

Analysis of Bulk Queueing Model with Load Balancing and Vacation

  • Subramani Palani Niranjan,
  • Suthanthiraraj Devi Latha,
  • Sorin Vlase and
  • Maria Luminita Scutaru

30 December 2024

Data center architecture plays an important role in effective server management network systems. Load balancing is one such data architecture used to efficiently distribute network traffic to the server. In this paper, we incorporated the load-balanc...

(This article belongs to the Special Issue Mathematical and Statistical Methods and Their Applications, 2nd Edition)
  • Article
  • Open Access
1 Citations
2,861 Views
18 Pages

31 August 2022

Modern software data planes use spin-polling and batch processing mechanisms to significantly improve maximum throughput and forwarding latency. The user-level IO queue-based spin polling mechanism has a higher response speed than the traditional int...

(This article belongs to the Section Electrical, Electronics and Communications Engineering)
  • Article
  • Open Access
12 Citations
3,366 Views
11 Pages

30 July 2019

Consideration is given to the nonstationary analogue of M / M / 1 queueing model in which the service happens only in batches of size 2, with the arrival rate λ ( t ) and the service rate μ ( t ) . One proposes a new...

(This article belongs to the Special Issue Stochastic Processes: Theory and Applications)
  • Feature Paper
  • Article
  • Open Access
17 Citations
3,360 Views
30 Pages

30 September 2022

Queueing models have proven to be very useful in real-life applications to enable the practitioners to optimize the limited resources to conduct their businesses as well as offer services efficiently. In general, we can group such applications into t...

(This article belongs to the Special Issue Mathematics: 10th Anniversary)
  • Article
  • Open Access
3 Citations
1,678 Views
19 Pages

12 November 2024

This research investigated a single bulk server queuing model where service modes and server vacations are dependent on the number of clients. The server operates in three different service modes: single service, fixed batch service, and variable bat...

(This article belongs to the Special Issue Mathematical Optimization and Control: Methods and Applications)
  • Article
  • Open Access
271 Views
25 Pages

23 September 2026

Federated learning under label skew aggregates models trained with different local class distributions. Local logit adjustment can reduce class-dependent bias, but the adjusted loss updates both the encoder and classifier in client-specific direction...

(This article belongs to the Special Issue Green Deep Learning Techniques for Sensing and Experimental Multimodal Signal Processing)
  • Feature Paper
  • Article
  • Open Access
3 Citations
3,127 Views
20 Pages

27 April 2023

Several studies have been conducted on scaling limits for Markov-modulated infinite-server queues. To the best of our knowledge, most of these studies adopt an approach to prove the convergence of the moment-generating function (or characteristic fun...

(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research II)
  • Article
  • Open Access
19 Citations
7,726 Views
18 Pages

14 June 2018

In this paper, we discuss a non-Markovian batch arrival general bulk service single-server queueing system with server breakdown and repair, a stand-by server, multiple vacation and re-service. The main server’s regular service time, re-service...

(This article belongs to the Special Issue Stochastic Processes with Applications)
  • Feature Paper
  • Article
  • Open Access
8 Citations
3,626 Views
13 Pages

Optimization of Open Queuing Networks with Batch Services

  • Elena Stankevich,
  • Igor Tananko and
  • Michele Pagano

22 August 2022

In this paper, open queuing networks with Poisson arrivals and single-server infinite buffer queues are considered. Unlike traditional queuing models, customers are served (with exponential service time) in batches, so that the nodes are non-work-con...

(This article belongs to the Special Issue Advances in Queueing Theory)
  • Article
  • Open Access
529 Views
23 Pages

Laboratory experimentation is shaped by practical constraints, so computational frameworks built for offline settings do not transfer cleanly to an online laboratory routine. Two mismatches dominate. First, they assume on-demand access to high-fideli...

(This article belongs to the Topic AI and Computational Methods for Modelling, Simulations and Optimizing of Advanced Systems: Innovations in Complexity, 2nd Edition)
  • Article
  • Open Access
16 Citations
10,010 Views
15 Pages

1 December 2018

We study big-data hybrid-data-processing lambda architecture, which consolidates low-latency real-time frameworks with high-throughput Hadoop-batch frameworks over a massively distributed setup. In particular, real-time and batch-processing engines a...

(This article belongs to the Special Issue Data Stream Mining and Processing)
  • Article
  • Open Access
22 Citations
4,459 Views
16 Pages

Analysis of a k-Stage Bulk Service Queuing System with Accessible Batches for Service

  • Achyutha Krishnamoorthy,
  • Anu Nuthan Joshua and
  • Vladimir Vishnevsky

6 March 2021

In most of the service systems considered so far in queuing theory, no fresh customer is admitted to a batch undergoing service when the number in the batch is less than a threshold. However, a few researchers considered the case of customers accessi...

(This article belongs to the Special Issue Stochastic Modeling and Applied Probability)
  • Article
  • Open Access
640 Views
29 Pages

Runtime-Controlled Evaluation of Speculative Decoding Methods

  • Sungkyun Kim,
  • Jaemin Kim,
  • Yeongpil Cho and
  • Jiwon Seo

Reported Speculative decoding (SD) speedups are difficult to compare because methods are commonly evaluated with different serving runtimes and configurations. We present SpecLLM, a pluggable evaluation framework that applies common scheduling, batch...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
14 Citations
4,610 Views
29 Pages

Research on a Dynamic Task Update Assignment Strategy Based on a “Parts to Picker” Picking System

  • Kaibo Liang,
  • Li Zhou,
  • Jianglong Yang,
  • Huwei Liu and ,
  • Yakun Li,
  • Fengmei Jing,
  • Man Shan and
  • Jin Yang
  • + 3 authors+ 0 author

31 March 2023

Order picking is a crucial operation in the storage industry, with a significant impact on storage efficiency and cost. Responding quickly to customer demands and shortening picking time is crucial given the random nature of order arrival times and q...

(This article belongs to the Special Issue Supply Chain Management and Mathematical Logistics)
  • Article
  • Open Access
159 Views
39 Pages

Michaelis–Menten-Based Supervised Learning for Nonlinear Performance Modelling in Bulk-Service Queueing System

  • Pooja Gokul Joshi,
  • Gopal Kumar Gupta,
  • Maria Luminita Scutaru and
  • Sorin Vlase

22 October 2026

Bulk service queueing systems such as M/Mb/1/N and M/Mb/c/N, which are characterised by multiple servers c, fixed batch-size service b, and finite capacity N, indicate the performance measures that are numerically derivable but mathematically complex...

(This article belongs to the Special Issue Recent Advances in Statistical Regression Models and Applications)
  • Article
  • Open Access
4 Citations
1,185 Views
20 Pages

Analysis of BMAP/PH/N-Type Queueing System with Flexible Retrials Admission Control

  • Sergei A. Dudin,
  • Olga S. Dudina,
  • Azam A. Imomov and
  • Dmitry Y. Kopats

27 April 2025

This research examines a multi-server retrial queueing system with a batch Markov arrival process and a phase-type service time distribution. The system’s distinguishing feature is its ability to control the admission of retrial customers. An a...

(This article belongs to the Special Issue Advances in Queueing Theory and Applications)
  • Article
  • Open Access
397 Views
14 Pages

IoT networks now handle traffic from billions of devices, and edge nodes are under constant pressure to classify that traffic and dispatch tasks within tight latency deadlines. Most existing systems treat classification and scheduling as two separate...

  • Article
  • Open Access
186 Views
29 Pages

14 October 2026

Integrated sensing and communication (ISAC), semantic communication, and mobile edge computing (MEC) jointly create a high-dimensional, non-convex, and time-coupled resource allocation problem in sixth-generation (6G) networks that existing heuristic...

(This article belongs to the Special Issue Mathematical Method for Artificial Intelligence and Mobile Edge Computing)
  • Article
  • Open Access
7 Citations
4,620 Views
18 Pages

Analysis of Multi-Server Queue with Self-Sustained Servers

  • Alexander Dudin,
  • Olga Dudina,
  • Sergei Dudin and
  • Konstantin Samouylov

2 September 2021

A novel multi-server vacation queuing model is considered. The distinguishing feature of the model, compared to the standard queues, is the self-sufficiency of servers. A server can terminate service and go on vacation independently of the system man...

(This article belongs to the Special Issue Recent Research in Queuing Theory and Stochastic Models)
  • Article
  • Open Access
1 Citations
644 Views
22 Pages

24 March 2026

In this paper, we investigate the spectrum distribution and asymptotic behavior of an M/GB/1 bulk service queueing system. In this system, the server processes customers in batches of a fixed maximum capacity B, and the time required to serve a batch...

(This article belongs to the Special Issue Numerical and Analytical Methods for Partial Differential Equations with Integral Boundary Conditions)
  • Article
  • Open Access
435 Views
26 Pages

Cross-domain underwater object recognition is essential for intelligent visual monitoring in marine ranching, yet domain shift caused by varying water conditions and imaging devices severely degrades model performance. Existing adversarial domain ada...

(This article belongs to the Section Marine Aquaculture)
  • Article
  • Open Access
774 Views
34 Pages

Geography as a Clock: Smart Mobility Without a Digital Actuator in Mass-Event Rail Egress

  • Emad Felemban,
  • Wesam Sabban,
  • Imran A. Tasadduq and
  • Anas Tasadduq

Smart-city mobility control often acts through apps, fares, reservations, or gates. In this work, we examine a mass-event setting in which those instruments cannot control demand: the post-sunset movement of over 300,000 pilgrims from Arafat to Muzda...

  • Systematic Review
  • Open Access
400 Views
22 Pages

24 September 2026

Artificial intelligence (AI) methods for rotating-machinery diagnosis based on vibration and acoustic signals are often evaluated on benchmark splits that do not establish physical independence or industrial generalization. This registered study comb...

(This article belongs to the Special Issue Structural Vibration: Modeling, Analysis, Optimization and Engineering Applications)

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