{"title":"Analysis of MAP/PH/1 Queueing System with Catastrophic Delay Action, Standby Server, Balking of Customers, Working Vacation and Vacation Interruption under N-Policy","authors":"T. Karthikeyan, Ayyappan Govindan","doi":"10.1504/ijmmno.2023.10053320","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.10053320","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66740034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Robust Semi Analytical Approach to Study Fractional Coupled Sokolov Wilson System in Shallow Water Waves","authors":"Y. Patel, J. Dhodiya","doi":"10.1504/ijmmno.2023.10058044","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.10058044","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":"365-382"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66740140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modelling the transmission dynamics of coronavirus disease 2019 with treatment as a control strategy: the case of India","authors":"Thinley Tobgay, Sonam Gyeltshen","doi":"10.1504/ijmmno.2022.10043546","DOIUrl":"https://doi.org/10.1504/ijmmno.2022.10043546","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66739916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mathematical Model of Terrorism: Case Study of Boko Haram","authors":"M. L. S. N.A.","doi":"10.1504/ijmmno.2022.10042844","DOIUrl":"https://doi.org/10.1504/ijmmno.2022.10042844","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66739904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Y. E. Foutayeni, N. Achtaich, Meriem Bentounsi, I. Agmour
{"title":"A bioeconomic model applied to a small pelagic species along the Moroccan coast","authors":"Y. E. Foutayeni, N. Achtaich, Meriem Bentounsi, I. Agmour","doi":"10.1504/IJMMNO.2021.10035549","DOIUrl":"https://doi.org/10.1504/IJMMNO.2021.10035549","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66739893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Permutation flow shop scheduling problem under non-renewable resources constraints","authors":"Imane Laribi, F. Yalaoui, Z. Sari","doi":"10.1504/IJMMNO.2019.10020918","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10020918","url":null,"abstract":"The majority of flow shop scheduling problems considers machines as the only resource. However, in most real-life manufacturing environments, jobs for their processing on machines may require additional non-renewable resources. Considering such resources, the scheduling problem is more realistic and much harder to solve. In this paper, we investigate the permutation flow shop scheduling problem subject to non-renewable resources constraints. The objective is to find a schedule that minimises the maximum completion time. An integer linear programming model is developed. Because of the computation time constraint, we propose an approximate resolution method based on genetic algorithm. To obtain better and more robust solutions, the Taguchi method is performed for tuning the parameters and operators of the algorithm. Furthermore, a local search is proposed to enhance the searching ability. Finally, computational experiments are conducted to evaluate the performance of both mathematical model and algorithm on different configurations of non-renewable resources availability.","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"103 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76797320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"New hybrid algorithm based on nonmonotone spectral gradient and simultaneous perturbation","authors":"Tabbakh Zineb, Ellaia Rachid, Habbal Abderrahmane","doi":"10.1504/IJMMNO.2019.10017960","DOIUrl":"https://doi.org/10.1504/IJMMNO.2019.10017960","url":null,"abstract":"In this paper, we introduce a new hybrid method called nonmonotone spectral gradient and simultaneous perturbation (NSGSP). It combines the advantages of nonmonotone spectral gradient (NSG), and simultaneous perturbation (SP) methods. The main idea of our approach is to use the simultaneous perturbation (SP) method in order to get a non expensive estimate of the gradient, and exploit the good properties of the nonmonotone spectral gradient (NSG) method in order to compute an efficient line search. Several numerical experiments are provided. The results indicate that the new method is effective and outperforms most of other popular methods.","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66739868","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A collage-based approach to inverse problems for non-linear elliptic PDEs","authors":"K. M. Levere","doi":"10.1504/IJMMNO.2012.049605","DOIUrl":"https://doi.org/10.1504/IJMMNO.2012.049605","url":null,"abstract":"The collage coding solution strategy for ODE inverse problems, first developed in Kunze and Vrscay (1999), controls the approximation error by bounding it above by a more readily minimisable distance. In this paper, we explore a collage coding technique for solving inverse problems for a general class of second-order non-linear elliptic PDEs. The method is based on the nonlinear Lax-Milgram representation theorem and elements of variational calculus. We develop this method for a broad class of non-linear elliptic PDEs and present an example of the method in practice.","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"3 1","pages":"281"},"PeriodicalIF":0.0,"publicationDate":"2012-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1504/IJMMNO.2012.049605","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66740306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}