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Int. J. Math. Model. Numer. Optimisation最新文献

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A collection of bivariate nonlinear optimisation test problems with graphical representations 具有图形表示的二元非线性优化测试问题的集合
Int. J. Math. Model. Numer. Optimisation Pub Date : 2020-01-01 DOI: 10.1504/ijmmno.2020.10031726
P. A. Simionescu
{"title":"A collection of bivariate nonlinear optimisation test problems with graphical representations","authors":"P. A. Simionescu","doi":"10.1504/ijmmno.2020.10031726","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10031726","url":null,"abstract":"","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85307652","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}
引用次数: 1
A new efficient hybrid conjugate gradient method based on LS-DY-HS conjugate gradient parameter 基于LS-DY-HS共轭梯度参数的高效混合共轭梯度新方法
Int. J. Math. Model. Numer. Optimisation Pub Date : 2020-01-01 DOI: 10.1504/ijmmno.2020.10031725
Nirmalya Kumar Mohanty, R. K. Nayak
{"title":"A new efficient hybrid conjugate gradient method based on LS-DY-HS conjugate gradient parameter","authors":"Nirmalya Kumar Mohanty, R. K. Nayak","doi":"10.1504/ijmmno.2020.10031725","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10031725","url":null,"abstract":"","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74338034","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}
引用次数: 0
Reconstruction of an orthotropic thermal conductivity from non-local heat flux measurements 从非局部热通量测量重建正交各向异性热导率
Int. J. Math. Model. Numer. Optimisation Pub Date : 2020-01-01 DOI: 10.1504/ijmmno.2020.10026055
M. J. Huntul, M. S. Hussein, D. Lesnic, M. Ivanchov, N. Kinash
{"title":"Reconstruction of an orthotropic thermal conductivity from non-local heat flux measurements","authors":"M. J. Huntul, M. S. Hussein, D. Lesnic, M. Ivanchov, N. Kinash","doi":"10.1504/ijmmno.2020.10026055","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10026055","url":null,"abstract":"Raw materials are anisotropic and heterogeneous in nature, and recovering their conductivity is of utmost importance to the oil, aerospace and medical industries concerned with the identification of soils, reinforced fibre composites and organs. Due to the ill-posedness of the anisotropic inverse conductivity problem certain simplifications are required to make the model tracktable. Herein, we consider such a model reduction in which the conductivity tensor is orthotropic with the main diagonal components independent of one space variable. Then, the conductivity components can be taken outside the divergence operator and the inverse problem requires reconstructing one or two components of the orthotropic conductivity tensor of a two-dimensional rectangular conductor using initial and Dirichlet boundary conditions, as well as non-local heat flux over-specifications on two adjacent sides of the boundary. We prove the unique solvability of this inverse coefficient problem. Afterwards, numerical results indicate that accurate and stable solutions are obtained.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81276740","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}
引用次数: 5
Numerical analysis on thermal performance of a trapezoidal micro-channel heat sink using an improved version of the augmented ε-constraint method 用改进的增广ε约束法对梯形微通道散热器热性能进行数值分析
Int. J. Math. Model. Numer. Optimisation Pub Date : 2020-01-01 DOI: 10.1504/ijmmno.2020.10026038
L. Tartibu
{"title":"Numerical analysis on thermal performance of a trapezoidal micro-channel heat sink using an improved version of the augmented ε-constraint method","authors":"L. Tartibu","doi":"10.1504/ijmmno.2020.10026038","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10026038","url":null,"abstract":"This work proposes the use of an improved version of the augmented e-constraint method (AUGMENCON2) for the analysis of the thermal performance of a micro-channel heat sink. In order to highlight the strength and the effectiveness of this new approach, a trapezoidal micro-channel heat sink has been considered. The geometrical configuration namely the micro-channel widths and depth are the main variables considered in this study. Surrogate models based on the response surface methodology have been adopted to approximate the thermal resistance and the pumping power which provide an indication of the thermal performance of the micro-channel heat sink. A two-objective nonlinear problem have been formulated and implemented within the general algebraic modelling system. Global Pareto optimal solutions have been computed using the proposed method. Despite being a relatively straightforward method, the AUGMENCON2 provides a reasonable level of accuracy and shortens the required computational time in comparison to two existing approaches.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75114389","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}
引用次数: 1
Numerical analysis of the European and American options with the SPH method 用SPH方法对欧美期权进行数值分析
Int. J. Math. Model. Numer. Optimisation Pub Date : 2020-01-01 DOI: 10.1504/ijmmno.2020.10026042
A. Q. E. Idrissi, B. Achchab, A. C. Maloum
{"title":"Numerical analysis of the European and American options with the SPH method","authors":"A. Q. E. Idrissi, B. Achchab, A. C. Maloum","doi":"10.1504/ijmmno.2020.10026042","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10026042","url":null,"abstract":"In this paper, we propose a numerical method to solve the European and the American options by using the SPH method. Because its robustness and efficacy, this numerical method has been widely applied in the computation of partial differential equations particularly in fluid dynamic. To model these financial options, we use the Black Scholes equation. It is a mathematical model consisting of a set of partial differential equation supplemented by some boundary conditions. We evaluate the accuracy of our numerical method by giving some comparisons between the analytic solution and the numerical simulation.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80659699","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}
引用次数: 0
A Metropolis within Gibbs algorithm for knowledge discovery in language assessments 语言评估中知识发现的Metropolis within Gibbs算法
Int. J. Math. Model. Numer. Optimisation Pub Date : 2020-01-01 DOI: 10.1504/ijmmno.2020.10031724
Mengta Chung
{"title":"A Metropolis within Gibbs algorithm for knowledge discovery in language assessments","authors":"Mengta Chung","doi":"10.1504/ijmmno.2020.10031724","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10031724","url":null,"abstract":"","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85376306","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}
引用次数: 0
MINLP models for dimensional synthesis of planar four-bar linkages 平面四杆机构尺寸综合的MINLP模型
Int. J. Math. Model. Numer. Optimisation Pub Date : 2020-01-01 DOI: 10.1504/ijmmno.2020.10031728
A. Carboni, L. O. Seman, E. Camponogara
{"title":"MINLP models for dimensional synthesis of planar four-bar linkages","authors":"A. Carboni, L. O. Seman, E. Camponogara","doi":"10.1504/ijmmno.2020.10031728","DOIUrl":"https://doi.org/10.1504/ijmmno.2020.10031728","url":null,"abstract":"","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89150780","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}
引用次数: 0
Temperature and rainfall dependent mathematical modelling for progression of Zika virus infection 寨卡病毒感染进展的温度和降雨依赖数学模型
Int. J. Math. Model. Numer. Optimisation Pub Date : 2019-05-24 DOI: 10.1504/ijmmno.2019.102571
Narender Kumar, M. I. Faizan, S. Parveen, Ravins Dohare
{"title":"Temperature and rainfall dependent mathematical modelling for progression of Zika virus infection","authors":"Narender Kumar, M. I. Faizan, S. Parveen, Ravins Dohare","doi":"10.1504/ijmmno.2019.102571","DOIUrl":"https://doi.org/10.1504/ijmmno.2019.102571","url":null,"abstract":"We formulated a susceptible-exposed-infected-recovered (SEIR) mathematical model for transmission of ZIKV. The model was used to estimate different parameters using the outbreak data obtained from Puerto Rico during 2015-2016 in this region. The inclusion of climatic factors in the model assisted in more realistic predictions of the transmission dynamics of ZIKV. The value basic reproduction number R0= 3.2869 calculated at estimated parameters suggested outbreak of infection in this region. The sensitivity analysis revealed that R0 was highly influenced by death rate, mosquito biting rate and maturation rate of immature mosquitoes. The R0 further implied that around 70% of the individuals should be immunised to develop herd immunity to prevent propagation of the disease. The simulation of controlled reproduction number revealed the values of different isolation coefficients (e1 > 0.4, e2 > 0.14, τ1 < 0.1). These coefficients might be utilised by policy makers in the control strategies against the infection.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81311217","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}
引用次数: 2
A novel particle swarm optimisation with search space tuning parameter to avoid premature convergence 基于搜索空间参数调整的粒子群优化算法
Int. J. Math. Model. Numer. Optimisation Pub Date : 2019-05-23 DOI: 10.1504/ijmmno.2019.102576
Raja Chandrasekaran, R. Saravanan, D. Kumar, N. Gangatharan
{"title":"A novel particle swarm optimisation with search space tuning parameter to avoid premature convergence","authors":"Raja Chandrasekaran, R. Saravanan, D. Kumar, N. Gangatharan","doi":"10.1504/ijmmno.2019.102576","DOIUrl":"https://doi.org/10.1504/ijmmno.2019.102576","url":null,"abstract":"Particle swarm optimisation is a trendy optimisation technique that is inhaled from the space navigational intelligence of birds. The optimisation technique is popular among the researchers for several decades because of the fact that it is inspired by the zonal and universal best members in all the generations. The optimisation by PSO is found better than few other optimisation techniques, in several trials with the optimisation of the mathematical benchmarks and real-time applications. But the more-than-modest orientation style of the algorithm often leads the population to premature convergence. Inertia weight parameter is used to tune the explorability of the population. In this paper, a zonal monitor (based on success in the recent iterations)-based inertia weight tuning is redressed by including universal monitors (based on the success with a universal fitness perspective). The proposed algorithm excels the conventional PSO, the PSO with zonal monitors alone. The inertia weight of the PSO with zonal monitor is also not dynamic whereas the proposed PSO's inertia weight are found to be more dynamic with tuning the explore ability with regard to zonal and universal context of fitness.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78625205","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}
引用次数: 0
Optimisation of EOQ model with Weibull deterioration under crisp and fuzzy environment 清晰模糊环境下具有威布尔退化的EOQ模型优化
Int. J. Math. Model. Numer. Optimisation Pub Date : 2019-05-23 DOI: 10.1504/ijmmno.2019.102582
Anu Sayal, A. Singh, Deepak Aggarwal
{"title":"Optimisation of EOQ model with Weibull deterioration under crisp and fuzzy environment","authors":"Anu Sayal, A. Singh, Deepak Aggarwal","doi":"10.1504/ijmmno.2019.102582","DOIUrl":"https://doi.org/10.1504/ijmmno.2019.102582","url":null,"abstract":"Deterioration is an unavoidable condition prevalent in all spheres of the inventory system involving perishable goods. Though other factors are also responsible for the depletion of the level of the inventory but the effect of deterioration in this regards is quite high. In the present paper, we have considered the deterioration rate of the form of Weibull distribution and the demand rate is taken as a ramp type function of time, when the inventory system starts without any kind of shortage. We have developed a mechanism for the optimisation of the total cost of the EOQ inventory system in both crisp and fuzzy environment. An appropriate numerical example has been proposed in order to validate the model in both crisp and fuzzy system.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75907929","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}
引用次数: 0
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