Modeling and Predicting Monkeypox Spread Using Fuzzy Logic and Machine Learning Regression Techniques H. A. Bhavithra, S. Sindhuja, T. Harikrishnan, S. Sindu Devi, P. Sathya, A. Sudha Rani 2025 International Conference on Computing Technologies and Data Communication Icctdc 2025, 2025 Understanding the dynamics of infectious disease such as Monkeypox is critical for effective public health intervention. This study integrates fuzzy logic based mathematical modeling and machine learning techniques to capture the complexities and uncertainties inherent in real world disease dynamics. A fuzzy logic approach was employed to assign weighted values to key parameters, enabling a more flexible representation of disease spread. Simulations revealed a significant shift in the disease-free equilibrium, with the number of susceptible individuals declining from 1000 to 185 as parameter weights varied. To complement the modeling, three machine learning regression models - Linear Regression Polynomial Regression and Decision Tree Regression were evaluated for predicting univariate time series data. Results showed that polynomial Regression outperformed the others across all standard metrics (RMSE, MAE, MAPE, MSE), effectively capturing the underlying nonlinear patterns in data. These findings emphasize the importance of incorporating both uncertainty aware modeling and appropriate machine learning techniques for accurate prediction and strategic planning on disease control. Further work may explore advanced nonlinear models such as Support Vector Regression and LSTM networks for enhanced long-term forecasting.
On Schur Complement in k-Kernel Symmetric Block Quadri Partitioned Neutrosophic Fuzzy Matrices Neutrosophic Sets and Systems, 2025
A finite source retrial queueing inventory system with stock dependent arrival and heterogeneous servers T. Harikrishnan, K. Jeganathan, Shweta Redkar, G. Umamaheswari, Balachandra Pattanaik, K. Loganathan Scientific Reports, 2024 This article discusses a finite-source stock-dependent stochastic inventory system with multiple servers and a retrial facility. The system can store a maximum of S items, and the lifetime of each item is exponentially distributed. The primary customer arrives at the waiting hall from the finite source and receives service from multi-servers. The rate at which customers arrive depends on the current stock level. If the waiting hall is full during the primary customer's arrival, he enters the finite orbit. Additionally, customers in the waiting hall may lose patience and enter the orbit. To replenish the stock, we follow the (s, Q) ordering policy. We calculate the joint probability distribution of the number of inventory items, busy servers, and number of customers in the waiting hall and orbit at a steady state. We conduct a comparative numerical analysis to determine the impact of heterogeneous and homogeneous service rates on various metrics, such as the average impatient customer rate, the fraction of successful retrials, and the average number of customers in the waiting hall and orbit.
Partial orderings, Characterizations and Generalization of k-idempotent Neutrosophic fuzzy matrices , M. .., , , , , T. Harikrishnan, S. M. Chithra, V. Kamalakannan, B. Kanimozhi International Journal of Neutrosophic Science, 2024 In this article, First, we study the different orderings for k-idempotent Neutrosophic fuzzy matrices (NFM). With this idea, we also discover some properties for the k- Neutrosophic fuzzy matrices and demonstrate the connection between the generalized inverse and different orderings. We also go through some properties for the T-ordering, T- reverse ordering, minus, and space ordering in k-idempotent Neutrosophic fuzzy matrices using the g-inverses with numerical examples is given. Minus ordering is a partial ordering in the set of all regular fuzzy matrices. We have introduced ordering on k− idempotent fuzzy matrices and developed the theory of fuzzy matrix partial ordering. The minus ordering and k−space ordering are identical for k− idempotent matrices. Next, we introduce and study the concept of k–Idempotent Neutrosophic fuzzy matrix as a generalization of idempotent NFM via permutations. It is shown that a kidempotent NFM reduces to an idempotent NFM if and only if PK = KP. The Conditions for power symmetric NFM to be k-idempotent are derived and some related results are given.
A multi-server retrial queueing-inventory system with asynchronous multiple vacations K. Jeganathan, T. Harikrishnan, K. Prasanna Lakshmi, D. Nagarajan Decision Analytics Journal, 2023 This study deals with asynchronous server vacation and customer retrial facilities in a multi-server queueing-inventory system. Customers arrive according to a Poisson process. The system comprises identical servers, a finite-size waiting area, and a storage area. The service time is distributed exponentially. If each server finds insufficient customers and items in the system after the busy period, they start a vacation. Once the server’s vacation is over and it recognizes there is no chance of getting busy, it goes into an idle state; otherwise, it will take another vacation. Each server’s vacation period occurs independently of the other servers. The system accepts a control policy for inventory replenishment. For the steady-state analysis, Neuts and Rao’s matrix geometric approximation approach is used owing to the structure of an infinitesimal generator matrix. The necessary stability condition is computed. After calculating the sufficient system performance measures, an expected total cost of the system will be constructed and numerically incorporated with the parameters. Additional numerical analyses are conducted to examine customers’ waiting time in the queue and orbit and the expected customer loss rate.
Modeling of Junior Servers Approaching a Senior Server in the Retrial Queuing-Inventory System Kathirvel Jeganathan, Thanushkodi Harikrishnan, Kumarasankaralingam Lakshmanan, Agassi Melikov, Janos Sztrik Mathematics, 2023 This article deals with the queuing-inventory system, composed of c junior servers, a senior server, two finite waiting halls, and an infinite orbit. On occasion, junior servers encounter challenges during customer service. In these instances, they approach the senior server for guidance in resolving the issue. Suppose the senior server is engaged with another junior server. The approaching junior servers await their turn in a finite waiting area with a capacity of c for consultation. Concerning this, we study the performance of junior servers approaching the senior server in the retrial queuing-inventory model with the two finite waiting halls dedicated to the primary customers and the junior servers for consultation. We formulate a level-dependent QBD process and solve its steady-state probability vector using Neuts and Rao’s truncation method. The stability condition of the system is derived and the R matrix is computed. The optimum total cost has been obtained, and the sensitivity analyses, which include the expected total cost, the waiting time of customers in the waiting hall and orbit, the number of busy servers, and a fraction of the successful retrial rate of the model, are computed numerically.
A comparative analysis of (s, Q) and (s, S) ordering policies in a queuing-inventory system with stock-dependent arrival and queue-dependent service process Chandrasekaran Sugapriya, Murugesan Nithya, Kathirvel Jeganathan, Subramanian Selvakumar, Thanushkodi Harikrishnan Operations Research and Decisions, 2023 This article deals with a Markovian queuing-inventory system (MQIS) under the stochastic modeling technique. The arrival stream of this system is dependent on the present stock level at an instant. Meanwhile, the system focuses on reducing the waiting time of a unit by assuming a queue-dependent service policy (QDSP). The system consists of an infinite waiting hall to receive an arriving unit. The MQIS assumes that no unit of arrival is allowed when the stock level of the system is empty. The discussion of this MQIS runs over the two types of ordering principles named 1) (s, Q) 2) (s, S). According to both ordering principles, the assumed arrival and service patterns have been considered separately and classified as Model-I (M-I) and Model-II (M-II) respectively. The steady state of the system for both M-I and M-II is analysed and resolved under the Neuts matrix-geometric technique. The system performance measures of the system are also computed. The expected cost function of both M-I and M-II are constructed as well. Further, the necessary numerical illustrations are provided and distinguished for M-I and M-II to explore the proposed model. This paper finds the optimum ordering policy to execute the stock-dependent arrival and queue-dependent service strategies.
Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices , M. .., , , , , , T. Harikrishnan, S. M. Chithra, V. Kamalakannan, B. Kanimozhi, Broumi Said International Journal of Neutrosophic Science, 2023 In this paper, we introduce the concept of reverse sharp ordering on Neutrosophic Fuzzy matrix (NFM) as a special case of minus ordering. We also introduce the concept of reverse left-T and right-T orderings for NFM as an analogue of left-star and right-star partial orderings for complex matrices. Several properties of these ordering are derived. We show that these ordering preserve its Moore-penrose inverse property. Finally, we show that these ordering are identical for certain class of NFM.
Analysis of Stochastic M/M/c/N Inventory System with Queue-Dependent Server Activation, Multi-Threshold Stages and Optional Retrial Facility T. Harikrishnan, K. Jeganathan, S. Selvakumar, N. Anbazhagan, Woong Cho, Gyanendra Prasad Joshi, Kwang Chul Son Mathematics, 2022 The purpose of this article is to examine the server activation policy (SAP) in a multi-server queuing-inventory system (MQIS). The queue has a total of c number of multi-threshold stages as well as c-homogeneous servers. The activation of each server begins one by one if there is an adequate queue length and inventory in the system; otherwise, they remain idle. The server deactivation process continues until the queue length exceeds the manageable level (predetermined stages) or there is insufficient stock. In addition, when we assume the length of the two successive threshold levels is one, the server activation policy model becomes a regular multi-server model. The Neuts matrix geometric approach is used to discuss the stability condition, stationary probability vector. The Laplace–Stieltjes transform (LST) is used to analyse the waiting time distributions of the queue and orbital customers. Additionally, significant system performance metrics and sensitivity analysis are used to investigate the effects of various parameters and cost values. In the comparative result between the server activation model (SAM) and without the server activation model (WSAM) on the expected total cost, we obtain the minimised cost in the SAM. Moreover, the results are obtained by assuming that the length of the intervals between the two successive threshold levels is to be taken into account as the non-uniform length. The expected inventory level, reorder rate, and waiting time of a customer in the waiting hall and orbit were explored numerically by the parameter analysis.
A finite source retrial queueing inventory system with stock dependent arrival and heterogeneous servers T Harikrishnan, K Jeganathan, S Redkar, G Umamaheswari, B Pattanaik, ... Scientific reports 14 (1), 30588 , 2024 2024.0 Citations: 6
A multi-server retrial queueing-inventory system with asynchronous multiple vacations K Jeganathan, T Harikrishnan, KP Lakshmi, D Nagarajan Decision Analytics Journal 9, 100333 , 2023 2023.0 Citations: 16
Modeling of junior servers approaching a senior server in the retrial queuing-inventory system K Jeganathan, T Harikrishnan, K Lakshmanan, A Melikov, J Sztrik Mathematics 11 (22), 4581 , 2023 2023.0 Citations: 8
Perspective Analysis of Three Types of Services on a Queueing-Inventory System with a Sharing Buffer for Two Classes of Customers K Jeganathan, KP Lakshmi, S Selvakumar, T Harikrishnan, D Nagarajan Blockchain, IoT, and AI Technologies for Supply Chain Management, 229-253 , 2023 2023.0
A comparative analysis of (s, Q) and (s, S) ordering policies in a queueing-inventory system C Sugapriya, M Nithya, K Jeganathan, S Selvakumar, T Harikrishnan Operations Research and Decisions 33 (2), 121-153 , 2023 2023.0 Citations: 5
Analysis of Stochastic M / M / c / N Inventory System with Queue-Dependent Server Activation, Multi-Threshold Stages and Optional Retrial Facility T Harikrishnan, K Jeganathan, S Selvakumar, N Anbazhagan, W Cho, ... Mathematics 10 (15), 2682 , 2022 2022.0 Citations: 5
A Markovian two commodity queueing-inventory system with compliment item and classical retrial facility M Nithya, C Sugapriya, S Selvakumar, K Jeganathan, T Harikrishnan Ural Mathematical Journal 8 (1 (14)), 90-116 , 2022 2022.0 Citations: 6
Analysis of Interconnected Arrivals on Queueing-Inventory System with Two Multi-Server Service Channels and One Retrial Facility RDGPJ K. Jeganathan, T. Harikrishnan, S. Selvakumar, N. Anbazhagan, S ... electronics 10 (5), 35 , 2021 2021.0 Citations: 31
Equitable coloring of some convex polytope graphs K Manikandan, T Harikrishnan International Journal of Applied and computational mathematics 4 (5), 119 , 2018 2018.0 Citations: 2
11 Perspective Analysis of Three Types of Services on Queueing-Inventory System with Classes of Customers K Jeganathan, KP Lakshmi, S Selvakumar, T Harikrishnan, D Nagarajan
TOPOLOGICAL INDICES OF X (Zn, C)-GRAPH K MANIKANDAN, T HARIKRISHNAN
MOST CITED SCHOLAR PUBLICATIONS
Analysis of Interconnected Arrivals on Queueing-Inventory System with Two Multi-Server Service Channels and One Retrial Facility RDGPJ K. Jeganathan, T. Harikrishnan, S. Selvakumar, N. Anbazhagan, S ... electronics 10 (5), 35 , 2021 2021.0 Citations: 31
A multi-server retrial queueing-inventory system with asynchronous multiple vacations K Jeganathan, T Harikrishnan, KP Lakshmi, D Nagarajan Decision Analytics Journal 9, 100333 , 2023 2023.0 Citations: 16
Modeling of junior servers approaching a senior server in the retrial queuing-inventory system K Jeganathan, T Harikrishnan, K Lakshmanan, A Melikov, J Sztrik Mathematics 11 (22), 4581 , 2023 2023.0 Citations: 8
A finite source retrial queueing inventory system with stock dependent arrival and heterogeneous servers T Harikrishnan, K Jeganathan, S Redkar, G Umamaheswari, B Pattanaik, ... Scientific reports 14 (1), 30588 , 2024 2024.0 Citations: 6
A Markovian two commodity queueing-inventory system with compliment item and classical retrial facility M Nithya, C Sugapriya, S Selvakumar, K Jeganathan, T Harikrishnan Ural Mathematical Journal 8 (1 (14)), 90-116 , 2022 2022.0 Citations: 6
A comparative analysis of (s, Q) and (s, S) ordering policies in a queueing-inventory system C Sugapriya, M Nithya, K Jeganathan, S Selvakumar, T Harikrishnan Operations Research and Decisions 33 (2), 121-153 , 2023 2023.0 Citations: 5
Analysis of Stochastic M / M / c / N Inventory System with Queue-Dependent Server Activation, Multi-Threshold Stages and Optional Retrial Facility T Harikrishnan, K Jeganathan, S Selvakumar, N Anbazhagan, W Cho, ... Mathematics 10 (15), 2682 , 2022 2022.0 Citations: 5
Equitable coloring of some convex polytope graphs K Manikandan, T Harikrishnan International Journal of Applied and computational mathematics 4 (5), 119 , 2018 2018.0 Citations: 2
Perspective Analysis of Three Types of Services on a Queueing-Inventory System with a Sharing Buffer for Two Classes of Customers K Jeganathan, KP Lakshmi, S Selvakumar, T Harikrishnan, D Nagarajan Blockchain, IoT, and AI Technologies for Supply Chain Management, 229-253 , 2023 2023.0
11 Perspective Analysis of Three Types of Services on Queueing-Inventory System with Classes of Customers K Jeganathan, KP Lakshmi, S Selvakumar, T Harikrishnan, D Nagarajan
TOPOLOGICAL INDICES OF X (Zn, C)-GRAPH K MANIKANDAN, T HARIKRISHNAN
