Abstract: Publication date: Sep 2022 Source:Universal Journal of Applied Mathematics Volume 10 Number 2 Md. Tohidul Islam Md. Anwarul Islam Bhuiyan and Sohana Jahan Supervised Regularized Multidimensional Scaling (SRMDS), a non-linear variant of classical Multi-Dimensional Scaling (cMDS) is proposed recently which involves Radial basis function. The method is focused on the effective selection of centers of the radial basis functions in transforming data from a higher dimensional space to a lower dimension. The transformation matrix is determined by minimizing stress. Weights of components of the stress that are of great importance for classification of data got less focus in Supervised Regularized Multidimensional Scaling. In this article, we have investigated several forms of non-linear functions which may be used as weights of the stress measure. A new form of Z-shape weight function dependent on intraclass information of the dataset is introduced which prefers to preserve global structure of the dataset. The efficiency of the proposed approach is illustrated on several benchmarking datasets which shows that the weighted Supervised Regularized Multidimensional Scaling (WSRMDS) outperforms the base method and some other state of the art approaches such as Linear Discriminant Analysis (LDA), and Supervised Principal Component Analysis (SPCA). Observing the finding of this research, among different weight functions, Z-shape weight function is recommended to use since it works better then any other weight functions for most of the data sets. PubDate: Sep 2022

Abstract: Publication date: Sep 2022 Source:Universal Journal of Applied Mathematics Volume 10 Number 2 Aydin Teymourifar Jie Li Dan Li and Taicheng Zheng In this study, an open-source simulation model is presented for solving scheduling problems. The model is capable of solving different benchmarks. The methods involved in the simulation are mainly based on generating dispatching rules or using them to solve problems, but there are other heuristics as well. Dispatching rules in an evolutionary process are generated using Gene Expression Programming. For this aim, a coding method, which has not been described in the literature before, is explained. Along with the explanation of the properties of the source code, information about deterministic, dynamic models, buffer states, machine breakdown states, and the methods used to deal with them is presented. Concepts are explained with visual examples. In addition, a subject that has not been investigated in the literature before is analyzed by using the simulation model. This topic is to examine the results of solving machine assignment and operation sequencing sub-problems in flexible job shop scheduling problems with different rules. Moreover, objective functions that the source code can handle are discussed. Unlike many studies in the literature, the codes are presented to the readers as open source. Also, it is open to development and can be easily modified by users to solve other types of problems. Finally, in the study, experimental results are presented on the basis of some benchmarks available in the literature, and the limits of the study and source code are explained. PubDate: Sep 2022

Abstract: Publication date: Mar 2022 Source:Universal Journal of Applied Mathematics Volume 10 Number 1 Marlina Setia Sinaga Hanna D. M. Hutabarat and Yulita Molliq Rangkuti The tourism sector is significantly and directly affected economically, due to the Covid-19 pandemic. This is a serious problem that requires immediate treatment. It is feared that the tourism industry will weaken further, as it is one of the foreign exchange earners with a large enough influence. The development of the tourism sector with the parameters of the current needs of the tourism society is, namely 4A, Amenity, Attractions, Accessibility, and Ancillary. The concept of the new normal destination to become a safe tourist destination during the Covid-19 pandemic was built by simulating a genetic algorithm that imitates the theory of evolution to get a solution that is close to optimal. Parameter 4A is achieved by adding 3M (Wearing masks, washing hands, and maintaining distance), and 3T (Testing, Tracing, and Treatment) as control of the spread of Covid-19. The main contribution of this research is to find a solution that is close to optimal with the parameters of the tourism society's needs through simulations of new normal destinations with 3M and 3T constraints to control the spread of Covid-19. PubDate: Mar 2022