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Operations Research & Management Science
Dhanya Shajin, A. Krishnamoorthy, R. Manikandan
Summary: In this paper, a correlated queueing-inventory system with Markovian arrival, phase type distributed service time, and Markovian lead time is considered. The system characteristics are exhaustively analyzed, and numerical examples are provided to illustrate the system performance.
OPERATIONAL RESEARCH
(2022)
Article
Mathematics
Valentina I. Klimenok, Alexander N. Dudin, Vladimir M. Vishnevsky, Olga V. Semenova
Summary: In this paper, the authors study a multi-server queueing system with retrials and an infinite orbit, considering the realistic nature of the retrial process. They derive the stability condition and calculate the steady-state distribution and performance indicators of the system. The authors also compare their model with a corresponding queueing system with exponentially distributed inter-retrial times and find that the latter is a poor approximation.
Article
Mathematics, Applied
Ivan Atencia, Maria Angeles Galan-Garcia, Gabriel Aguilera-Venegas, Jose Luis Galan-Garcia
Summary: This paper investigates a discrete-time queueing system in which a customer can choose between joining a retrial group or displacing the customer in the server to begin its service. The analysis includes a recursive algorithm and the study of waiting times in the queue and the system. Numerical examples are provided.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Operations Research & Management Science
Dhanya Shajin, A. Krishnamoorthy
Summary: The study focuses on a queueing-inventory problem with a Markovian arrival process and phase type distributed service time, where the life time of items is exponentially distributed. The system allows reservation, cancellation, and overbooking of items, with customers tending to leave when the system is fully overbooked. Upon realization of a common life time, items are instantly procured to start the next cycle. In the case of a Poisson process and exponentially distributed service time, the system exhibits an asymptotic product form solution, with system state characteristics calculated and numerically illustrated for various input parameters.
OPERATIONAL RESEARCH
(2021)
Article
Engineering, Chemical
V. Vinitha, N. Anbazhagan, S. Amutha, K. Jeganathan, Gyanendra Prasad Joshi, Woong Cho, Suseok Seo
Summary: This article discusses a queueing-inventory model with a cancellation policy and two classes of customers. Ordinary customers plan to buy the product when entering the system, while impulse customers do not. The system includes a finite waiting area, a maximum inventory size, and specific rules for handling different types of customers and inventory replenishment.
Article
Mathematics
Ivan Atencia, Jose Luis Galan-Garcia
Summary: This paper focuses on a discrete-time retrial queue with breakdowns and repairs, analyzing the stationary distributions of customers in the system and providing numerical examples to illustrate the effects of parameters on performance characteristics. The study also includes the calculation of steady-state for the orbit and system, as well as the analysis of customer delays and busy periods.
Article
Management
Bernardo D'Auria, Ivo J. B. F. Adan, Rene Bekker, Vidyadhar Kulkarni
Summary: Recent studies have shown that service times can be influenced by the experienced queueing delay of customers in various domains. This paper presents a methodology for analyzing a model with this property, using a specific Markov chain to model the virtual queueing time and providing a recursive solution for computing the stationary distribution.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2022)
Article
Operations Research & Management Science
Se Won Lee, Bara Kim, Jeongsim Kim
Summary: This paper focuses on analyzing the waiting time distribution in an M/G/1 retrial queue with two types of calls: ingoing calls made by regular customers and outgoing calls made by the server. By obtaining an equation for the joint transform of the number of ingoing calls in the orbit and the waiting time of an arbitrary ingoing call, the moments of the waiting time distribution of an arbitrary ingoing call can be determined.
ANNALS OF OPERATIONS RESEARCH
(2022)
Article
Mathematics, Applied
Nurehemaiti Yiming, Bao-Zhu Guo
Summary: In this paper, the asymptotic behavior of an M/G/1 retrial queueing system with server breakdowns is studied, and it is described by infinitely many partial integro-differential equations. The stability and convergence properties of the system are analyzed through the investigation of the system operator's spectrum. The results show the strong stability of the time-dependent solution in the natural Banach state space and the convergence of the solution to its steady-state solution when the server failure rate is zero. Additionally, the properties of the system operator and the corresponding C0-semigroup are examined.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2023)
Article
Computer Science, Interdisciplinary Applications
V. Saravanan, V. Poongothai, P. Godhandaraman
Summary: This paper investigates a Markovian multi server retrial queueing system with unreliable servers, discouraged customers and vacation. The impact of unreliable servers on the system performance is reduced by providing regular maintenance to the servers through synchronised vacation. The customer facing service interruption on account of server breakdown is directed to the orbit from where the customer can retry seeking service. The stationary system size distribution is framed by quasi-birth-death (QBD) process and the performance measures are derived using matrix form expressions.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Operations Research & Management Science
Zerui Wu, Ran Liu, Ershun Pan
Summary: We study a server routing-scheduling problem in a distributed queueing system. We propose a dynamic programming model to solve this special routing-scheduling problem with time-varying demand, stochastic travel time, and queue-length constraints. In order to tackle large-scale practical instances, we design a dynamic programming-based rollout heuristic algorithm.
TRANSPORTATION SCIENCE
(2023)
Article
Operations Research & Management Science
Gabi Hanukov
Summary: This article investigates a service system in which customers can leave the service station and enter orbit during the processing of their order. The system is modeled and analyzed using the matrix geometric method, and the optimal orbiting time, optimal RS storage capacity, and optimal preservation technology investment are calculated.
ANNALS OF OPERATIONS RESEARCH
(2023)
Article
Mathematics
K. Jeganathan, M. Abdul Reiyas, S. Selvakumar, N. Anbazhagan, S. Amutha, Gyanendra Prasad Joshi, Duckjoong Jeon, Changho Seo
Summary: This study examines the demand and control strategies for two commodities in a Markovian inventory system, deriving probability distributions and analyzing performance metrics to evaluate system performance.
Article
Mathematics
Wei Xu, Liwei Liu, Linhong Li, Zhen Wang, Sabine Wittevrongel
Summary: This paper investigates a retrial G-queue with collisions, transmission errors, and a finite number of sources. The service and repair times are both general distributions. The model considers two types of arrivals and applies to communication networks, such as LANs with CSMA/CD protocol. The paper derives recursive formulas to calculate the stationary joint distributions and reliability functions using the discrete transformations method and the supplementary variables technique, and conducts numerical analysis to compare performance and reliability.
Article
Computer Science, Information Systems
Naveen Chauhan, Haider Banka, Rajeev Agrawal
Summary: An adaptive bandwidth adjustment technique is proposed in this study, taking into account the sensitivity of applications and load on multiple queues at the access point, based on which a compelling dynamic bandwidth ratio is calculated to enhance system performance.
CLUSTER COMPUTING-THE JOURNAL OF NETWORKS SOFTWARE TOOLS AND APPLICATIONS
(2021)
Article
Mathematics
A. Krishnamoorthy, Dhanya Shajin, B. Lakshmy
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
(2016)
Article
Automation & Control Systems
D. Shajin, B. Benny, R. V. Razumchik, A. Krishnamoorthy
AUTOMATION AND REMOTE CONTROL
(2018)
Article
Operations Research & Management Science
Dhanya Shajin, A. Krishnamoorthy
RAIRO-OPERATIONS RESEARCH
(2020)
Article
Computer Science, Interdisciplinary Applications
Dhanya Shajin, A. Krishnamoorthy, A. N. Dudin, Varghese C. Joshua, Varghese Jacob
Article
Operations Research & Management Science
Dhanya Shajin, A. Krishnamoorthy, R. Manikandan
Summary: In this paper, a correlated queueing-inventory system with Markovian arrival, phase type distributed service time, and Markovian lead time is considered. The system characteristics are exhaustively analyzed, and numerical examples are provided to illustrate the system performance.
OPERATIONAL RESEARCH
(2022)
Article
Operations Research & Management Science
Dhanya Shajin, Jaison Jacob, A. Krishnamoorthy
Summary: This paper presents a multi-commodity queueing inventory problem involving essential and optional items, analyzing customer behavior and system performance.
ANNALS OF OPERATIONS RESEARCH
(2022)
Article
Mathematics
Dhanya Shajin, Achyutha Krishnamoorthy, Agassi Z. Melikov, Janos Sztrik
Summary: This paper investigates the performance measures and decision-making problems in a multi-server production inventory system, obtaining key results through numerical experiments and derivations.
Article
Statistics & Probability
S. R. Chakravarthy, Dhanya Shajin, A. Krishnamoorthy
JOURNAL OF THE INDIAN SOCIETY FOR PROBABILITY AND STATISTICS
(2020)
Article
Engineering, Multidisciplinary
Dhanya Shajin, A. N. Dudin, Olga Dudina, A. Krishnamoorthy
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
(2020)
Article
Mathematics, Applied
Dhanya Shajin, A. Krishnamoorthy, A. Z. Melikov
APPLIED AND COMPUTATIONAL MATHEMATICS
(2019)
Article
Operations Research & Management Science
A. Krishnamoorthy, Binitha Benny, Dhanya Shajin
Article
Operations Research & Management Science
A. Krishnamoorthy, Dhanya Shajin, B. Lakshmy
Article
Operations Research & Management Science
A. Krishnamoorthy, R. Manikandan, Dhanya Shajin
ADVANCES IN OPERATIONS RESEARCH
(2015)