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Green hybrid fleets using electric vehicles: solving the heterogeneous vehicle routing problem with multiple driving ranges and loading capacities 使用电动汽车的绿色混合动力车队:解决多行驶里程和多载重能力的异构车辆路径问题
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2020-06-01 DOI: 10.2436/20.8080.02.98
Sara Hatami, M. Eskandarpour, M. Serrano, Ángel Alejandro Juan Pérez, D. Ouelhadj
{"title":"Green hybrid fleets using electric vehicles: solving the heterogeneous vehicle routing problem with multiple driving ranges and loading capacities","authors":"Sara Hatami, M. Eskandarpour, M. Serrano, Ángel Alejandro Juan Pérez, D. Ouelhadj","doi":"10.2436/20.8080.02.98","DOIUrl":"https://doi.org/10.2436/20.8080.02.98","url":null,"abstract":"The introduction of Electric Vehicles (EVs) in modern fleets facilitates green road transportation. However, the driving ranges of EVs are limited by the duration of their batteries, which arise new operational challenges. Hybrid fleets of gas and EVs might be heterogeneous both in loading capacities as well as in driving-range capabilities,whichmakes the design of efficient routing plans a difficult task. In this paper, we propose a newMulti-Round IteratedGreedy (MRIG) metaheuristic to solve the Heterogeneous Vehicle Routing Problem with Multiple Driving ranges and loading capacities (HeVRPMD). MRIG uses a successive approximations method to offer the decision maker a set of alternative fleet configurations,with different distance-based costs and green levels. The numerical experiments show that MRIG is able to outperform previous works dealing with the homogeneous version of the problem, which assumes the same loading capacity for all vehicles in the fleet. The numerical experiments also confirm that the proposed MRIG approach extends previous works by solving a more realistic HeVRPMD and provides the decision-maker with fleets with higher green levels.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"32 1","pages":"141-170"},"PeriodicalIF":1.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90668759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Modelling count data using the logratio-normal-multinomial distribution 使用对数-正态-多项分布建模计数数据
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2020-01-01 DOI: 10.2436/20.8080.02.96
M. Comas-Cufí, J. Martín-Fernández, G. Mateu-Figueras, J. Palarea‐Albaladejo
{"title":"Modelling count data using the logratio-normal-multinomial distribution","authors":"M. Comas-Cufí, J. Martín-Fernández, G. Mateu-Figueras, J. Palarea‐Albaladejo","doi":"10.2436/20.8080.02.96","DOIUrl":"https://doi.org/10.2436/20.8080.02.96","url":null,"abstract":"The logratio-normal-multinomial distribution is a count data model resulting from compounding a multinomial distribution for the counts with a multivariate logratio-normal distribution for the multinomial event probabilities. However, the logratio-normal-multinomial probability mass function does not admit a closed form expression and, consequently, numerical approximation is required for parameter estimation. In this work, different estimation approaches are introduced and evaluated. We concluded that estimation based on a quasi-Monte Carlo Expectation-Maximisation algorithm provides the best overall results. Building on this, the performances of the Dirichlet-multinomial and logratio-normal-multinomial models are compared through a number of examples using simulated and real count data.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"123 1","pages":"0099-126"},"PeriodicalIF":1.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79542692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Bayesian structured antedependence model proposals for longitudinal data 纵向数据的贝叶斯结构前相关模型建议
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2020-01-01 DOI: 10.2436/20.8080.02.99
Edwin Castillo-Carreno, Edilberto Cepeda-Cuervo, V. Núñez-Antón
{"title":"Bayesian structured antedependence model proposals for longitudinal data","authors":"Edwin Castillo-Carreno, Edilberto Cepeda-Cuervo, V. Núñez-Antón","doi":"10.2436/20.8080.02.99","DOIUrl":"https://doi.org/10.2436/20.8080.02.99","url":null,"abstract":"An important problem in Statistics is the study of longitudinal data taking into account the effect of other explanatory variables, such as treatments and time and, simultaneously, the incorporation into the model of the time dependence between observations on the same individual. The latter is specially relevant in the case of nonstationary correlations, and nonconstant variances for the different time point at which measurements are taken. Antedependence models constitute a well known commonly used set of models that can accommodate this behaviour. These covariance models can include too many parameters and estimation can be a complicated optimization problem requiring the use of complex algorithms and programming. In this paper, a new Bayesian approach to analyse longitudinal data within the context of antedependence models is proposed. This innovative approach takes into account the possibility of having nonstationary correlations and variances, and proposes a robust and computationally efficient estimation method for this type of data. We consider the joint modelling of the mean and covariance structures for the general antedependence model, estimating their parameters in a longitudinal data context. Our Bayesian approach is based on a generalization of the Gibbs sampling and Metropolis-Hastings by blocks algorithm, properly adapted to the antedependence models longitudinal data settings. Finally, we illustrate the proposed methodology by analysing several examples where antedependence models have been shown to be useful: the small mice, the speech recognition and the race data sets.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"28 1","pages":"0171-200"},"PeriodicalIF":1.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82916025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
False discovery rate control for grouped or discretely supported p-values with application to a neuroimaging study 在神经影像学研究中应用分组或离散支持p值的错误发现率控制
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2019-07-01 DOI: 10.2436/20.8080.02.87
H. Nguyen, Yohan Yee, G. McLachlan, J. Lerch
{"title":"False discovery rate control for grouped or discretely supported p-values with application to a neuroimaging study","authors":"H. Nguyen, Yohan Yee, G. McLachlan, J. Lerch","doi":"10.2436/20.8080.02.87","DOIUrl":"https://doi.org/10.2436/20.8080.02.87","url":null,"abstract":"False discovery rate (FDR) control is important in multiple testing scenarios that are common in neuroimaging experiments, and p-values from such experiments may often arise from some discretely supported distribution or may be grouped in some way. Two situations that may lead to discretely supported distributions are when the p-values arise from Monte Carlo or permutation tests are used. Grouped p-values may occur when p-values are quantized for storage. In the neuroimaging context, grouped p-values may occur when data are stored in an integer-encoded form. We present a method for FDR control that is applicable in cases where only p-values are available for inference, and when those p-values are discretely supported or grouped. We assess our method via a comprehensive set of simulation scenarios and find that our method can outperform commonly used FDR control schemes in various cases. An implementation to a mouse imaging data set is used as an example to demonstrate the applicability of our approach.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"98 1","pages":"237-258"},"PeriodicalIF":1.6,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91128282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the optimism correction of the area under the receiver operating characteristic curve in logistic prediction models logistic预测模型中接收者工作特征曲线下面积的乐观修正
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2019-06-11 DOI: 10.2436/20.8080.02.82
Amaia Iparragirre, Irantzu Barrio, M. Rodríguez-Álvarez
{"title":"On the optimism correction of the area under the receiver operating characteristic curve in logistic prediction models","authors":"Amaia Iparragirre, Irantzu Barrio, M. Rodríguez-Álvarez","doi":"10.2436/20.8080.02.82","DOIUrl":"https://doi.org/10.2436/20.8080.02.82","url":null,"abstract":"When the same data are used to fit a model and estimate its predictive performance, this estimate may be optimistic, and its correction is required. The aim of this work is to compare the behaviour of different methods proposed in the literature when correcting for the optimism of the estimated area under the receiver operating characteristic curve in logistic regression models. A simulation study (where the theoretical model is known) is conducted considering different number of covariates, sample size, prevalence and correlation among covariates. The results suggest the use of k-fold cross-validation with replication and bootstrap.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"74 1","pages":"145-162"},"PeriodicalIF":1.6,"publicationDate":"2019-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79227846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A simheuristic for routing electric vehicles with limited driving ranges and stochastic travel times 有限续驶里程和随机行驶时间下电动汽车路径的相似启发式算法
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2019-06-11 DOI: 10.2436/20.8080.02.77
Lorena Silvana Reyes Rubiano, D. Ferone, Ángel Alejandro Juan Pérez, Francisco Javier Faulín Fajardo
{"title":"A simheuristic for routing electric vehicles with limited driving ranges and stochastic travel times","authors":"Lorena Silvana Reyes Rubiano, D. Ferone, Ángel Alejandro Juan Pérez, Francisco Javier Faulín Fajardo","doi":"10.2436/20.8080.02.77","DOIUrl":"https://doi.org/10.2436/20.8080.02.77","url":null,"abstract":"Green transportation is becoming relevant in the context of smart cities, where the use of electric vehicles represents a promising strategy to support sustainability policies. However the use of electric vehicles shows some drawbacks as well, such as their limited driving-range capacity. This paper analyses a realistic vehicle routing problem in which both driving-range constraints and stochastic travel times are considered. Thus, the main goal is to minimize the expected time-based cost required to complete the freight distribution plan. In order to design reliable Routing plans, a simheuristic algorithm is proposed. It combines Monte Carlo simulation with a multi-start metaheuristic, which also employs biased-randomization techniques. By including simulation, simheuristics extend the capabilities of metaheuristics to deal with stochastic problems. A series of computational experiments are performed to test our solving approach as well as to analyse the effect of uncertainty on the routing plans.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"100 1","pages":"3-24"},"PeriodicalIF":1.6,"publicationDate":"2019-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89645585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 36
A class of goodness-of-fit tests for circular distributions based on trigonometric moments 一类基于三角矩的圆形分布拟合优度检验
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2019-01-01 DOI: 10.2436/20.8080.02.37
S. Jammalamadaka, S. Meintanis, M. Jiménez-Gamero
{"title":"A class of goodness-of-fit tests for circular distributions based on trigonometric moments","authors":"S. Jammalamadaka, S. Meintanis, M. Jiménez-Gamero","doi":"10.2436/20.8080.02.37","DOIUrl":"https://doi.org/10.2436/20.8080.02.37","url":null,"abstract":"We propose a class of goodness–of–fit test procedures for arbitrary parametric families of circular distributions with unknown parameters. The tests make use of the specific form of the characteristic function of the family being tested, and are shown to be consistent. We derive the asymptotic null distribution and suggest that the new method be implemented using a bootstrap resampling technique that approximates this distribution consistently. As an illustration, we then specialize this method to testing whether a given data set is from the von Mises distribution, a model that is commonly used and for which considerable theory has been developed. An extensive Monte Carlo study is carried out to compare the new tests with other existing omnibus tests for this model. An application involving five real data sets is provided in order to illustrate the new procedure.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"20 1","pages":"317-336"},"PeriodicalIF":1.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75186946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Poisson excess relative risk models: New implementations and software 泊松超额相对风险模型:新的实现和软件
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2018-12-21 DOI: 10.2436/20.8080.02.76
M. Higueras, A. Howes
{"title":"Poisson excess relative risk models: New implementations and software","authors":"M. Higueras, A. Howes","doi":"10.2436/20.8080.02.76","DOIUrl":"https://doi.org/10.2436/20.8080.02.76","url":null,"abstract":"Two new implementations for fitting Poisson excess relative risk methods are proposed for as- \u0000sumed simple models. This allows for estimation of the excess relative risk associated with a \u0000unique exposure, where the background risk is modelled by a unique categorical variable, for \u0000example gender or attained age levels. Additionally, it is shown how to fit general Poisson linear \u0000relative risk models in R. Both simple methods and the R fitting are illustrated in three examples. \u0000The first two examples are from the radiation epidemiology literature. Data in the third example \u0000are randomly generated with the purpose of sharing it jointly with the R scripts.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"68 1","pages":"237-252"},"PeriodicalIF":1.6,"publicationDate":"2018-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90514423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Evidence functions: a compositional approach to information 证据功能:信息的合成方法
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2018-07-01 DOI: 10.2436/20.8080.02.71
J. Egozcue, V. Pawlowsky-Glahn
{"title":"Evidence functions: a compositional approach to information","authors":"J. Egozcue, V. Pawlowsky-Glahn","doi":"10.2436/20.8080.02.71","DOIUrl":"https://doi.org/10.2436/20.8080.02.71","url":null,"abstract":"The discrete case of Bayes’ formula is considered the paradigm of information acquisition. Prior and posterior probability functions, as well as likelihood functions, called evidence functions, are compositions following the Aitchison geometry of the simplex, and have thus vector character. Bayes’ formula becomes a vector addition. The Aitchison norm of an evidence function is introduced as a scalar measurement of information. A fictitious fire scenario serves as illustration. Two different inspections of affected houses are considered. Two questions are addressed: (a) which is the information provided by the outcomes of inspections, and (b) which is the most informative inspection.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"7 1","pages":"101-124"},"PeriodicalIF":1.6,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90281210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Using a Bayesian change-point statistical model with autoregressive terms to study the monthly number of dispensed asthma medications by public health services 利用自回归贝叶斯变点统计模型研究公共卫生服务机构每月哮喘药物配药数量
IF 1.6 4区 数学
Sort-Statistics and Operations Research Transactions Pub Date : 2018-06-19 DOI: 10.2436/20.8080.02.66
José André Mota de Queiroz, D. Aragon, L. Mello, I. Previdelli, E. Martinez
{"title":"Using a Bayesian change-point statistical model with autoregressive terms to study the monthly number of dispensed asthma medications by public health services","authors":"José André Mota de Queiroz, D. Aragon, L. Mello, I. Previdelli, E. Martinez","doi":"10.2436/20.8080.02.66","DOIUrl":"https://doi.org/10.2436/20.8080.02.66","url":null,"abstract":"In this paper, it is proposed a Bayesian analysis of a time series in the presence of a random change-point and autoregressive terms. The development of this model was motivated by a data set related to the monthly number of asthma medications dispensed by the public health services of Ribeirao Preto, Southeast Brazil, from 1999 to 2011. A pronounced increase trend has been observed from 1999 to a specific change-point, with a posterior decrease until the end of the series. In order to obtain estimates for the parameters of interest, a Bayesian Markov Chain Monte Carlo (MCMC) simulation procedure using the Gibbs sampler algorithm was developed. The Bayesian model with autoregressive terms of order 1 fits well to the data, allowing to estimate the change-point at July 2007, and probably reflecting the results of the new health policies and previously adopted programs directed toward patients with asthma. The results imply that the present model is useful to analyse the monthly number of dispensed asthma medications and it can be used to describe a broad range of epidemiological time series data where a change-point is present.","PeriodicalId":49497,"journal":{"name":"Sort-Statistics and Operations Research Transactions","volume":"123 1","pages":"3-26"},"PeriodicalIF":1.6,"publicationDate":"2018-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74975661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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