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283 Results Found

  • Article
  • Open Access
4 Citations
2,768 Views
21 Pages

9 June 2023

In this paper, we present a vacation queue model in which the service rate of the server deteriorates during the service period (e.g., due to the fatigue of a human server or the wear and ageing of machinery) and recovers during the vacation period (...

  • Article
  • Open Access
13 Citations
2,959 Views
16 Pages

This work considers a preemptive priority queueing system with vacation, where the single server may break down with imperfect coverage. Various combinations of server vacation priority queueing models have been studied by many scholars. A common ass...

  • Article
  • Open Access
1 Citations
1,101 Views
21 Pages

Fuzzy-Based Control System for Solar-Powered Bulk Service Queueing Model with Vacation

  • Radhakrishnan Keerthika,
  • Subramani Palani Niranjan and
  • Sorin Vlase

4 July 2025

This study proposes a Fuzzy-Based Control System (FBCS) for a Bulk Service Queueing Model with Vacation, designed to optimize service performance by dynamically adjusting system parameters. The queueing model is categorized into three service levels:...

(This article belongs to the Special Issue Technical Advances in Vibration Analysis: Modeling, Simulation and Applications)
  • Article
  • Open Access
89 Citations
10,536 Views
19 Pages

Should I Stay or Should I Go? Tourists’ COVID-19 Risk Perception and Vacation Behavior Shift

  • Marija Bratić,
  • Aleksandar Radivojević,
  • Nenad Stojiljković,
  • Olivera Simović and ,
  • Emil Juvan,
  • Miha Lesjak and
  • Eva Podovšovnik
  • + 2 authors+ 0 author

23 March 2021

Without a doubt, the COVID-19 pandemic has had a tremendous impact on global tourism for at least two reasons: (1) imposed systematic travel restrictions that discourage people from traveling even though they would like to; and (2) increased travel a...

  • Article
  • Open Access
6 Citations
2,017 Views
14 Pages

Analysis of Vacation Fluid M/M/1 Queue in Multi-Phase Random Environment

  • Sherif I. Ammar,
  • Yousef F. Alharbi and
  • Yiqiang Q. Zhao

26 October 2023

An M/M/1 fluid queue with various vacations is studied in the context of a multi-phase random environment. When the system is in operation (i = 1, 2, …, n), it behaves according to the M/M/1 fluid queue model. However, in any other situation,...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
11 Citations
2,235 Views
14 Pages

Multiserver Retrial Queue with Two-Way Communication and Synchronous Working Vacation

  • Tzu-Hsin Liu,
  • Kuo-Ching Chiou,
  • Chih-Ming Chen and
  • Fu-Min Chang

12 April 2024

This work investigates a two-way communication retrial queue with synchronous working vacation and a constant retrial policy. During the idle time, a server makes an outgoing call after a random length. The service time of the incoming call and outgo...

  • Article
  • Open Access
2,123 Views
11 Pages

This paper studies a Markovian queue with multiple working vacations and controlled vacation interruption. If there are at least N customers waiting upon completion of a service at a lower rate, the vacation is interrupted and the server returns to t...

  • Article
  • Open Access
14 Citations
2,220 Views
16 Pages

13 May 2023

In this paper, we consider two queuing models. Model 1 considers a single-server working vacation queuing system with interdependent arrival and service processes. The arrival and service processes evolve by transitions on the product space of two Ma...

(This article belongs to the Special Issue Stochastic Modeling and Applied Probability, 2nd Edition)
  • Article
  • Open Access
4 Citations
1,211 Views
18 Pages

4 April 2025

With the advancement of science and technology, industrial robots have become indispensable equipment in advanced manufacturing and a critical benchmark for assessing a nation’s manufacturing and technological capabilities. Enhancing the reliab...

  • Article
  • Open Access
10 Citations
3,583 Views
18 Pages

24 June 2023

This paper investigates the concept of a Markovian queueing model with heterogeneous, intermittently available servers with feedback under a hybrid vacation policy. Both the asymmetric transition representation and the hybrid vacation policy are addr...

(This article belongs to the Special Issue Mathematical Models: Methods and Applications)
  • Article
  • Open Access
31 Citations
5,941 Views
29 Pages

20 February 2021

A single-server queuing-inventory system in which arrivals are governed by a batch Markovian arrival process and successive arrival batch sizes form a finite first-order Markov chain is considered in this paper. Service is provided in batches accordi...

(This article belongs to the Special Issue Stochastic Modeling and Applied Probability)
  • Article
  • Open Access
2 Citations
1,024 Views
28 Pages

5 March 2026

Despite extensive research on queueing models in flexible manufacturing systems (FMS), few studies have simultaneously considered the heterogeneity of servers and the impact of synchronous working vacations on system performance. To fill this researc...

  • Article
  • Open Access
6 Citations
2,975 Views
34 Pages

An Optimization of Home Delivery Services in a Stochastic Modeling with Self and Compulsory Vacation Interruption

  • Subramanian Selvakumar,
  • Kathirvel Jeganathan,
  • Krishnasamy Srinivasan,
  • Neelamegam Anbazhagan and ,
  • Soojeong Lee,
  • Gyanendra Prasad Joshi and
  • Ill Chul Doo
  • + 2 authors+ 0 author

25 April 2023

This study presents and discusses the home delivery services in stochastic queuing-inventory modeling (SQIM). This system consists of two servers: one server manages the inventory sales processes, and the other server provides home delivery services...

(This article belongs to the Special Issue Mathematical Models for Supply Chain Management)
  • Article
  • Open Access
12 Citations
4,709 Views
25 Pages

Analysis of Stock-Dependent Arrival Process in a Retrial Stochastic Inventory System with Server Vacation

  • C. Sugapriya,
  • M. Nithya,
  • K. Jeganathan,
  • N. Anbazhagan and ,
  • Gyanendra Prasad Joshi,
  • Eunmok Yang and
  • Suseok Seo
  • + 2 authors+ 0 author

17 January 2022

The present study deals with the stock-dependent Markovian demand of a retrial queueing system with a single server and multiple server vacation. The items are restocked under a continuous review (s,Q) ordering policy. When there is no item in the sy...

(This article belongs to the Collection Tools, Approaches and Modeling in Sustainable Supply Chain Management)
  • Article
  • Open Access
8 Citations
3,416 Views
29 Pages

Analysis of Stochastic State-Dependent Arrivals in a Queueing-Inventory System with Multiple Server Vacation and Retrial Facility

  • M. Nithya,
  • Gyanendra Prasad Joshi,
  • C. Sugapriya,
  • S. Selvakumar and ,
  • N. Anbazhagan,
  • Eunmok Yang and
  • Ill Chul Doo
  • + 2 authors+ 0 author

23 August 2022

This article analyses a four-dimensional stochastic queueing-inventory system with multiple server vacations and a state-dependent arrival process. The server can start multiple vacations at a random time only when there is no customer in the waiting...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
4 Citations
2,654 Views
14 Pages

8 November 2022

In the paper a finite-capacity discrete-time queueing system with geometric interarrival times and generally distributed processing times is studied. Every time when the service station becomes idle it goes for a vacation of random duration that can...

(This article belongs to the Special Issue Mathematical Models and Methods in Various Sciences)
  • Article
  • Open Access
3 Citations
1,680 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
5 Citations
2,681 Views
24 Pages

15 September 2025

This research advances steady state analysis and cost optimization of the M/M/1/N single vacation queueing system with setup time, working vacation, and working breakdown. The server works at a lower service rate instead of stopping work completely d...

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

This paper investigates a multi-server retrial machine repair system that incorporates orbital search and a synchronous vacation mechanism. The system features standby units and examines two potential vacation scenarios for servers, reflecting real-w...

(This article belongs to the Section Computational Engineering)
  • Article
  • Open Access
8 Citations
2,876 Views
21 Pages

5 January 2025

This research analyzes a multi-server retrial queue with two types of calls: working vacation and working breakdown. The incoming call may enter the retrial queue and attempt to seize a server after a random delay if all the servers are unavailable u...

(This article belongs to the Special Issue Development of Machine Learning and Artificial Intelligence Algorithms in Environmental Retrieval Tasks)
  • Article
  • Open Access
596 Views
50 Pages

12 November 2025

By using the C0-semigroup theory, we study the asymptotic behavior of the time-dependent solution and the time-dependent indices of the M[X]/G/1 queuing model with feedback and optional server vacations based on a single vacation policy. This queuing...

(This article belongs to the Special Issue Numerical and Analytical Methods for Partial Differential Equations with Integral Boundary Conditions)
  • Article
  • Open Access
10 Citations
6,170 Views
22 Pages

28 September 2022

Destination loyalty is a key indicator of the competitiveness of tourist destinations. Rural summer health leisure vacations for urban elderly (RSHLVUE) tourists span a wide range of ages. Destination operators need to understand the loyalty formatio...

  • Article
  • Open Access
1 Citations
2,588 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
239 Views
23 Pages

Ticket-based queueing systems are widely adopted in the service industry and government sectors for managing customer flow. In such systems, each arriving customer receives a numbered ticket that indicates the number currently being served. Unlike co...

(This article belongs to the Section Computational Social Science)
  • Feature Paper
  • Review
  • Open Access
9 Citations
3,044 Views
34 Pages

5 June 2025

In this paper, we present an extensive literature review on queueing systems with working vacations. The concept of a working vacation generalises the concept of server vacations, which are time periods during which the server is absent and cannot se...

(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research, 3rd Edition)
  • Communication
  • Open Access
3 Citations
3,997 Views
10 Pages

29 November 2022

Climate and weather conditions at a destination influence the decision regarding what season and which location tourists might travel to. Assuming that the holiday experiences and satisfaction during their stay are influenced by weather and climate a...

(This article belongs to the Section Biometeorology and Bioclimatology)
  • Article
  • Open Access
32 Citations
3,723 Views
18 Pages

27 September 2022

The concept of a single server retrial queueing system with delayed repair and feedback under a working vacation policy, along with the asymmetric transition representation, is discussed in this article. In addition, consumers are entitled to balk an...

(This article belongs to the Special Issue Mathematical Models: Methods and Applications)
  • Article
  • Open Access
19 Citations
7,739 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)
  • Article
  • Open Access
55 Citations
7,222 Views
14 Pages

Effects of Vacation Rental Websites on the Concentration of Tourists—Potential Environmental Impacts. An Application to the Balearic Islands in Spain

  • José María Martín Martín,
  • José Antonio Rodriguez Martín,
  • Karla Aída Zermeño Mejía and
  • José Antonio Salinas Fernández

The concentration of tourists at certain times of the year can damage sensitive environments. The use of peer-to-peer vacation rental websites has increased greatly during the last decade. This system could either reduce seasonality in touristic dest...

(This article belongs to the Special Issue Green Environment, Green Operations and Sustainability)
  • Article
  • Open Access
1 Citations
302 Views
25 Pages

26 June 2026

This paper studies a stochastic service system with N-policy, Bernoulli interruption vacations, and a patient server. When the number of waiting customers reaches the threshold N during a vacation, the server interrupts the vacation with probability...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
12 Citations
4,535 Views
14 Pages

Does Physical Activity during Alpine Vacations Increase Tourists’ Well-Being?

  • Philipp Schlemmer,
  • Cornelia Blank and
  • Martin Schnitzer

Physical activities have been proven to have an impact on general well-being in everyday life; however, literature lacks an analysis of the effects of physical activities in vacation settings. Thus, the study aimed at assessing the impacts of physica...

  • Article
  • Open Access
414 Views
20 Pages

Performance Analysis of an IoT Service Platform with Retrial Requests, Working Vacations, Balking and Feedback

  • C. T. Dora Pravina,
  • Govindhasami Hemavathi,
  • Maria Luminita Scutaru and
  • Sorin Vlase

19 July 2026

The increasing deployment of Internet of Things (IoT) service platforms has motivated the development of queueing models capable of capturing congestion, retrials, and service interruptions. This paper investigates an M/M/1 retrial queue with balking...

(This article belongs to the Special Issue Mathematical Modeling and Simulation in Mechanics and Dynamic Systems, 4th Edition)
  • Article
  • Open Access
235 Views
34 Pages

25 September 2026

This paper studies an N-policy M(λ1,λ2)/G/1 repairable queue in which arrival rates depend on the server state and multiple vacations may be interrupted by a Bernoulli decision. When the queue first reaches N during a vacation, the serv...

(This article belongs to the Special Issue Advances in Mathematical Methods in Optimal Control and Applications, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,543 Views
10 Pages

1 August 2014

This paper considers the reliability of an M/G/1 queue with multiple adaptive vacations in which the arriving customers enter the system with probability p (0<p≤1) during vacations. Through appropriate assumptions, the model is studied by the total p...

  • Article
  • Open Access
441 Views
25 Pages

This paper investigates an M/M/1 queueing system with differentiated vacations, threshold-based interruptions, and customer impatience in the form of balking and reneging. Using recursive analytical methods, we derive closed-form steady-state probabi...

(This article belongs to the Section Computational Engineering)
  • Article
  • Open Access
1 Citations
656 Views
15 Pages

25 November 2025

This study investigates an MX/G/1 queueing system tailored to the textile manufacturing industry, incorporating two heterogeneous service types, Bernoulli vacation schedules, and the effects of disasters and repairs. The system handles bulk fabric ar...

(This article belongs to the Special Issue Numerical Analysis and Applied Mathematics)
  • Article
  • Open Access
3 Citations
2,370 Views
12 Pages

29 July 2020

Motivated by modelling the data transmission in computer communication networks, we study a Lévy-driven stochastic fluid queueing system where the server may subject to breakdowns and repairs. In addition, the server will leave for a vacation...

(This article belongs to the Special Issue Mathematical Modeling in Industrial Engineering and Electrical Engineering)
  • Article
  • Open Access
3 Citations
1,397 Views
21 Pages

2 June 2025

Inspired by call centers, this paper models them as a constant retrial queue, with feedback and delayed vacations to balance high efficiency and low cost for service agents. After completing the service, the server randomly waits for an idle period....

(This article belongs to the Special Issue Advances in Queueing Theory and Applications)
  • Article
  • Open Access
9 Citations
2,347 Views
24 Pages

Controlled Arrivals on the Retrial Queueing–Inventory System with an Essential Interruption and Emergency Vacationing Server

  • N. Nithya,
  • N. Anbazhagan,
  • S. Amutha,
  • K. Jeganathan and ,
  • Gi-Cheon Park,
  • Gyanendra Prasad Joshi and
  • Woong Cho
  • + 2 authors+ 0 author

17 August 2023

In recent times, we have encountered new situations that have imposed restrictions on our ability to visit public places. These changes have affected various aspects of our lives, including limited access to supermarkets, vegetable shops, and other e...

  • Feature Paper
  • Article
  • Open Access
5 Citations
1,319 Views
34 Pages

19 December 2024

In this paper, we developed a new standby system that combines a retrial strategy with multiple working vacations, and we performed a dynamic analysis of the system. We investigated its well−posedness and asymptotic behavior using the theory of...

(This article belongs to the Special Issue Research on Dynamical Systems and Differential Equations)
  • Article
  • Open Access
3 Citations
577 Views
53 Pages

20 November 2025

In this paper, a k/n(G) retrial system with multiple working vacations is considered, and a mathematical model of the system is established by supplementary variable method, and a dynamic analysis of the system is carried out. Firstly, the model is t...

(This article belongs to the Special Issue Numerical and Analytical Methods for Partial Differential Equations with Integral Boundary Conditions)
  • Feature Paper
  • Article
  • Open Access
1 Citations
2,797 Views
27 Pages

30 March 2023

Monitoring the evolution of the state of networks is an important issue to ensure that many applications provide the required quality of service. The first step in network-monitoring systems consists of capturing packets; that is, packets arrive at t...

  • Article
  • Open Access
34 Citations
45,063 Views
11 Pages

Short Vacation Improves Stress-Level and Well-Being in German-Speaking Middle-Managers—A Randomized Controlled Trial

  • Cornelia Blank,
  • Katharina Gatterer,
  • Veronika Leichtfried,
  • Doris Pollhammer and ,
  • Maria Mair-Raggautz,
  • Stefan Duschek,
  • Egon Humpeler and
  • Wolfgang Schobersberger
  • + 3 authors+ 0 author

Stress in the work place has a detrimental effect on people’s health. Sufficient recovery is necessary to counteract severe chronic negative load reactions. Previous research has shown that vacationing for at least seven consecutive days provided an...

(This article belongs to the Section Health Behavior, Chronic Disease and Health Promotion)
  • Article
  • Open Access
15 Citations
7,933 Views
15 Pages

9 September 2019

Extremes in drinking water demand are commonly quantified with a so called peaking factor, a probabilistic ratio expressing the daily water demand relative to its annual average corresponding with a once in ten year recurrence period. In this study,...

(This article belongs to the Section Water Use and Scarcity)
  • Article
  • Open Access
24 Citations
3,855 Views
17 Pages

Analysis of MAP/PH/1 Queueing System with Degrading Service Rate and Phase Type Vacation

  • Alka Choudhary,
  • Srinivas R. Chakravarthy and
  • Dinesh C. Sharma

25 September 2021

Degradation of services arises in practice due to a variety of reasons including wear-and-tear of machinery and fatigue. In this paper, we look at MAP/PH/1-type queueing models in which degradation is introduced. There are several ways to incorporate...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
18 Citations
5,814 Views
19 Pages

Background: To examine bidirectional associations between body weight and objectively assessed sedentary behaviour (SB) and physical activity (PA) during the school year and summer vacation. Methods: Participants were 209 Japanese boys and girls (9.0...

(This article belongs to the Special Issue Obesity Prevention in Children and Adolescents)
  • Article
  • Open Access
5 Citations
3,128 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
3 Citations
1,330 Views
34 Pages

6 November 2025

This paper analyzes a finite-capacity GI/M/2/N queue with two heterogeneous servers operating under a multiple working-vacation policy, Bernoulli feedback, and customer impatience. Using the supplementary-variable technique in tandem with a tailored...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
11 Citations
2,959 Views
29 Pages

20 April 2021

A complex multi-state redundant system with preventive maintenance subject to multiple events is considered. The online unit can undergo several types of failure: both internal and those provoked by external shocks. Multiple degradation levels are as...

(This article belongs to the Special Issue Markov and Semi-markov Chains, Processes, Systems and Emerging Related Fields)
  • Article
  • Open Access
1 Citations
483 Views
23 Pages

30 April 2026

This paper develops a reliability analysis model for a class of computer systems composed of hardware and software in series, considering a repairman taking multiple vacations. The system follows a series failure rule: hardware can be repaired to be...

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