Applied Mathematics and Computational Intelligence (AMCI)

Derivation of the Matrix Equation for a Translational Mechanical System with Three Degrees of Freedom

Haruna Mohammed — 2023-04-10

Several researchers have carried out derivation of equation of motion of mechanical systems with more than one degrees of freedom of movement using different approaches among which is the work of Sivak and Darina[11] who derived the equation of motion of a translational mechanical system with two degrees of freedom using Newton’s second law. This paper, therefore, provides an extension of the work of Sivak and Darina[11] to model a three degree of freedom translational mechanical system. The free-body diagrams of the individual masses are developed and then Newton’s second law applied. Finally, the three equations derived are presented in matrix form in order to solve the systems vibration problems.

Assets Correlation in Malaysian Stock Market Before and During Pandemic Covid19

Zulkifli Mohamed — 2023-04-10

Stock market volatility is anunsolved issuediscussed bymany scholars. Uncertainpolitical scenarios,complex economic issues surrounding and ambiguity of various information are among the factors contributed to the stock market volatility. This situation is alsoknown as VUCA environment. Investors and fund managers faced difficulties in making investment decisionsin these macroschallenging situation since the element of systematic risks were rising. It’salso influencing the degree of asset correlation in the stock market and leadsto the diversification strategy problem. In the Modern Portfolio Theory, the elements of investment risk can be minimized through portfolio diversification. The diversification benefit can be maximized by combining negative correlation assets in a portfolio. Therefore, objective of the study is to measure the various values or assets’ correlation in Malaysian stock market for duration of ‘before and during the pandemic covid19’. 13 differenttypesof assets were being analyzed. This study had provided the lights that asset combination are changes upon market condition. Comparison of assets correlation between all the sub-period showed that ‘during pandemic’, the number of negative correlation assetsis 36%. This is higher compared to ‘before pandemic’ and ‘whole period’ duration. Utilities (7) and REITs (7) asset sectorial are having highest negative assets correlation. This condition gave higher opportunities for the fund managers and investors to minimize their investment risk.

Cure Fraction Models on Survival Data and Covariates with a Bayesian Parametric Estimation Methods

Umar Yusuf Madaki — 2023-04-10

Cure fraction models are usually meant for survival data that contains a proportion of non-subject individuals for the event under study. In order to get an accurate estimate of the cure fraction model, researchers often used one of two models: the mixture model or the non-mixture model. This study presents both mixture and non-mixed cure fraction models, together with a survival data format that is based on the beta-Weibull distribution. In this body of work, an alternative extension to the Weibull distribution was devised for the purpose of analyzing lifetime data. The beta-Weibull distribution is a four-parameter distribution established in this study as an alternate extension to the Weibull distribution in lifetime data analysis. The suggested addition allows for the inclusion of covariate analysis in the model, with parameter estimation performed using a Bayesian approach and Gibbs sampling methods. In addition, a simulation study was carried out to emphasize the benefits of the new development.

Approximate Solution of a Fractional-Order Ebola Virus Disease Model with Contact Tracing and Quarantine

Akinyemi Samuel Tosin — 2023-04-10

An elegant approximation of the fractional-order epidemic model's for Ebola Virus Disease (EVD) transmission combined with contact tracing and quarantine is presented in this study. The EVD model is governed by a system of nonlinear ordinary differential equations of fractional order described in Caputo sense. The Adams-Bashforth-Moulton algorithm is applied to simulate the model and compared with Runge-Kutta method in the case of integer-order derivatives to validate its efficiency.

Liner Supplier Selection Using Analytic Hierarchy Process

Mohd Kamal Mohd Nawawi — 2023-04-10

This study is conducted at one of the largest nitrile glove manufacturers in Malaysia. The company is facing some problems with delayed containers. This problem directly affects the company’s profit. The objectives of this study are to identify the company requirement that is expected to get to be fulfilled by the liner, to determine the priority for possible solutions and efficient decisions using Analytic Hierarchy Process (AHP), and to rank the suppliers who fulfilled the requirement and choose the best supplier. By choosing the best solution to pick the best liner supplier, the company can evaluate how to implement a correct solution due to some criteria such as responsiveness, features, price, quality, estimate-time of departure (ETD), and detention to ease the operations. Using AHP methodology, a liner supplier known as MA was found to be the best with the five criteria: responsiveness, features, price, quality, and ETD. This solution can reduce the operational cost for the container and can deliver the goods on time to customers. Furthermore, it can increase the satisfaction level of customers and it also builds a good reputation for the company.

Evaluation of Hotel Website and Online Accommodation Booking Platforms using Fuzzy TOPSIS

Nuridawati Baharom — 2023-04-10

According to researchers in the field of hospitality management, online reservation systems can improve the financial success of a business. Due to the advancement in technology, there are numerous online accommodation booking platforms and hotel websites available. The ways these websites promote themselves, their services, and the prices charged are different. In addition, some websites still do not have the criteria to attract more visitors. This study aims to determine the weightage of criteria for a hotel website and online accommodation booking platforms and to evaluate and identify the best alternative among the hotel website and online accommodation booking platforms. A case study is presented, where three alternatives; a hotel
website and two online accommodation booking platforms, are evaluated based on nine criteria. The Fuzzy Techniques for Order Preference by Similarity to Ideal Solution (Fuzzy TOPSIS) was applied in this study. This method first determined the fuzzy evaluation criterion weights, and the alternatives were ranked using the generated fuzzy weights. In conclusion, the hotel website
was ranked the highest compared to the other two online accommodation booking platforms. Through a comprehensive review of this study, hotel management will gain a new perspective on the customers’ need to improve the websites.

Solution of L2 = A Matrix to Generate Involutory Matrices for Cipher Trigraphic Polyfunction

Faridah Yunos — 2023-04-10

Cipher Trigraphic Polyfunction (CTriPoly) developed by previous researchers is a modification of the Hill Cipher technique in modern cryptography. It was built on the system using three symbols or letters and more than one transformation of the original message. The modular arithmetic of a key matrix plays an important role in the encryption and decryption processes. A crucial aspect of the decryption process is to get the inverse matrix for involutory matrices. The objective of this paper is to obtain some solution of L2 2×2 ≡ A2×2 (mod N) and subsequently generate suitable involutory matrices which will be used as an encryption key in CTriPoly. This definitely reduces the computational time of finding the decryption key.

Unique Solution of an Infinite 2-System Model of First Order Ordinary Differential Equation

Idham Arif Alias — 2023-04-10

This work is to solve an infinite 2-system model of first order ordinary differential equations. The system is in Hilbert space l2 with the coefficients are any positive real numbers. The system is rewritten as a system in the form of matrix equations and it is first studied in R2 where its solution is obtained and a fundamental matrix is constructed. The results are carried out to solve the infinite 2-system in Hilbert space l2 . The control functions satisfy integral constraint and are elements of the space of square integrable function in l2 . The existence and uniqueness of the solution of the system in Hilbert space l2 on an interval time [0, T] for a sufficiently large T is then proven.

Diagonally Implicit Extended 2-Point Super Class of Block Backward Differentiation Formula with Two Off-step Points for Solving First Order Stiff Initial Value Problems

Alhassan Buhari — 2023-04-10

A new diagonally implicit extended 2-point super class of block backward differentiation formula with two off–step points is developed for the solution of first order stiff initial value problems. The method computes two solution values with two off–step points concurrently at each integration step. The method is of order five. Sets of different formulae can be generated from the method by varying a free parameter   −( 1,1) in the formula. A specific choice of the value of the parameter 
within the interval is made and the method is found to be consistent, zero stable and convergent. The region of absolute stability is plotted and it indicated that the method is A-stable. The numerical results obtained demonstrated efficiency of the new method when compared with some existing implicit numerical block methods. The developed method performed better than some
existing algorithms in terms of accuracy and competes with others in terms of execution time.

An Innovative Approach to Solve Shortest Path Problem Using Dijkstra’s Algorithm Based on Interval-Valued Bipolar Neutrosophic Information

Siti Nurul Fitriah Mohamad — 2023-04-10

The shortest path problem (SPP) is considerably important in several fields such as application in highway networks, the problem of scheduling, road transportation network, etc. The SPP focuses on recommending the path which has a minimum length enclosed by two vertices. The length of the arc represents real world measurements like cost, time, distance, price, or other
parameters. A neutrosophic set is a collection of the truth membership, indeterminacy membership, and falsity membership degrees of the elements. In an uncertain environment, neutrosophic numbers can express the arc distance more effectively. In this study, classical Dijkstra’s algorithm has been redesigned to handle the case in which most of the parameters of
a network are uncertain and given in terms of interval-valued bipolar neutrosophic numbers (IVBNN). The proposed algorithm gives the shortest path length using the score function from sources node to destination node and each of the arc lengths are attributed to an IVBNN. For the validation of the proposed algorithm, a numerical example has been conducted and the objective
of this study is to identify the optimal paths to rescue points. Finally, we describe the advantages of the proposed method and give some suggestions to further this study.