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article

The normalized interval regression model with outlier detection and its real-world application to house pricing problems

Chao Wang, Jing Li, Peijun Guo, C. Wang, more

Fuzzy Sets and Systems > 2015 > 274 > Complete > 109-123

Tanaka and his colleagues initially proposed fuzzy linear regression models in 1982. From then on, fuzzy regression analysis has been widely studied by many researchers. Since Tanaka's model uses the inclusion relationship between the given data and the estimated data, it was pointed out that Tanaka's model is sensitive to outliers. How to deal with the outlier problem has been a very important issue...

article

Alternative formulations for the ordered weighted averaging objective

André Chassein, Marc Goerigk, A. Chassein, M. Goerigk

Information Processing Letters > 2015 > 115 > 6-8 > 604-608

The ordered weighted averaging (OWA) objective is an aggregate function over multiple optimization criteria that has received increasing attention by the research community over the last decade. Different to the weighted sum, where a certain weight is assigned to every objective function, weights are attached to ordered objective functions (i.e., for a fixed solution, objective functions are sorted...

article

Solution of the breakage matrix reverse problem

Aleksandar Fistes, Dušan Rakić, Aleksandar Takači, Mirjana Brdar, more

Powder Technology > 2014 > 268 > Complete > 412-419

This paper is a complete overview of the reverse problem in the breakage matrix context. The procedure for calculating the input particle size distribution to a milling operation in order to obtain the desired output particle size distribution is given. The reverse problem was solved by the ''precision'' and ''approximation'' approaches. For the precision case, a detailed algorithm is presented, where...

article

ImpSuic: A quality updating rule in mixing coins with maximum utilities

Xinying Yu, Zhaojie Wang, Yilei Wang, Fengyin Li, more

International Journal of Intelligent Systems > 36 > 3 > 1182 - 1198

vMixing coins strategy can realize the anonymity of user information, thereby protecting the user's privacy. Ideally, the blacklist is public information and all bad coins are recorded in it. However, due to the failure of some bad coins to be registered in the blacklist in time, users can only obtain part of the blacklist information, which allows illegal criminals to take advantage of it. How to...

article

Determination of optimal battery energy storage system capacity for commercial electricity consumers with photovoltaic systems by integrating battery aging and PV forecast uncertainty

Pongdanai Chayarun, Kenichi Kawabe, Toshiya Nanahara

IEEJ Transactions on Electrical and Electronic Engineering > 16 > 2 > 226 - 237

A battery energy storage system (BESS) is a promising technology to augment the benefits provided by photovoltaic (PV) power generation. This study proposes a method to evaluate the optimal capacity of a BESS for commercial electricity consumers with PV systems. This method considers the aging effect of a BESS and the PV output uncertainty through linear programming and a real‐time control method...

article

Stabilization of positive coupled differential‐difference equations with unbounded time‐varying delays

Guomin Liu, Ping Zhao, Ruonan Li

Optimal Control Applications and Methods > 42 > 1 > 81 - 95

This paper researches the static output‐feedback stabilization of single‐input single‐output (SISO) positive coupled differential‐difference equations (CDDEs) with unbounded time‐varying delays. First, a necessary and sufficient condition is provided for the positivity and asymptotical stability of CDDEs with unbounded time‐varying delays. For this type of system, based on the constructed estimates...

article

A data‐driven approach to study the role of interconnectors in a future low‐carbon electricity supply system

Ahmad Rafiee, Meysam Qadrdan, Nick Jenkins

International Journal of Energy Research > 45 > 1 > 379 - 395

This paper investigates the potential role of the electricity interconnectors in improving the security of supply in Great Britain (GB) in 2030. Real electricity demand and price data for GB and France in 2016 were used to understand the relationship between power exchange between the two countries and their wholesale electricity prices. A linear programming optimisation model was developed to find...

article

A new method with hybrid direction for linear programming

Khalil Djeloud, Mohand Bentobache, Mohand Ouamer Bibi

Concurrency and Computation: Practice and Experience > 33 > 1 > n/a - n/a

In this work, we propose a new algorithm for solving linear programs. This algorithm starts by an initial support feasible solution, then it moves from one feasible point to a better one following a new hybrid direction. The constructed direction gives a better local improvement of the objective function than the direction of the adaptive method with hybrid direction (AMHD) algorithm proposed in Bibi...

article

Weighted linear programming discriminant analysis for high‐dimensional binary classification

Yufei Wu, Guan Yu

Statistical Analysis and Data Mining: The ASA Data Science Journal > 13 > 5 > 437 - 450

Linear discriminant analysis (LDA) is widely used for various binary classification problems. In contrast to the LDA that estimates the precision matrix Ω and the mean difference vector δ in the classification rule separately, the linear programming discriminant (LPD) rule estimates the product Ωδ directly through a constrained ℓ₁ minimization. The LPD rule has very good classification performance...

article

Robust and nonfragile consensus of positive multiagent systems via observer‐based output‐feedback protocols

Jason J. R. Liu, James Lam, Yamin Wang, Yukang Cui, more

International Journal of Robust and Nonlinear Control > 30 > 14 > 5386 - 5403

This article investigates the consensus problem for positive multiagent systems via an observer‐based dynamic output‐feedback protocol. The dynamics of the agents are modeled by linear positive systems and the communication topology of the agents is expressed by an undirected connected graph. For the consensus problem, the nominal case is studied under the semidefinite programming framework while...

article

Stability analysis and saturation control for nonlinear positive Markovian jump systems with randomly occurring actuator faults

Junfeng Zhang, Haoyue Yang, Tarek Raïssi

International Journal of Robust and Nonlinear Control > 30 > 13 > 5062 - 5100

This article investigates the stability analysis and control design of a class of nonlinear positive Markovian jump systems with randomly occurring actuator faults and saturation. It is assumed that the actuator faults of each subsystem are varying and governed by a Markovian process. The nonlinear term is located in a sector. First, sufficient conditions for stochastic stability of the underlying...

article

Optimal alpha spending for sequential analysis with binomial data

Ivair R. Silva, Martin Kulldorff, W. Katherine Yih

Journal of the Royal Statistical Society: Series B (Statistical Methodology) > 82 > 4 > 1141 - 1164

For sequential analysis hypothesis testing, various alpha spending functions have been proposed. Given a prespecified overall alpha level and power, we derive the optimal alpha spending function that minimizes the expected time to signal for continuous as well as group sequential analysis. If there is also a restriction on the maximum sample size or on the expected sample size, we do the same. Alternatively,...

article

Risk management in the process of personnel allocation to jobs

Marek Krynke

System Safety : Human - Technical Facility - Environment > 2020 > Vol. 2, nr 1 > 82--99

The strategy should be designed in such a way as the risk management can operate not only as a system for avoiding losses, but also risk management should allow recognizing and making use of occasions and create new opportunities for the organization. Risk management includes both an evaluation (analytical and evaluation) undertaking as well as planning and control activities aimed at minimizing (reducing)...

article

Optimal collecting policy for apheresis platelets in a regional blood center

Shi‐Woei Lin, Ying‐Sheng Hung, Wan‐Chen Lee, Chun‐Hung Liu

Vox Sanguinis > 115 > 2 > 148 - 158

Background and objectives Planning platelet collection and inventory must rely not only on adequate forecasts of transfusion demand but also sophisticated mathematical modeling techniques. This research aims to develop a better demand forecasting model of apheresis platelets and a mathematical programming model to determine the best target amounts of apheresis platelet collection. Materials and...

article

A linear programming based approach to the Steiner tree problem with a fixed number of terminals

Matias Siebert, Shabbir Ahmed, George Nemhauser

Networks > 75 > 2 > 124 - 136

We present a set of integer programs (IPs) for the Steiner tree problem with the property that the best solution obtained by solving all IPs provides an optimal Steiner tree. Each IP is polynomial in the size of the underlying graph and our main result is that the linear programming (LP) relaxation of each IP is integral so that it can be solved as a linear program. However, the number of IPs grows...

article

Adjustable Robust Counterpart Optimization Model for Maximum Flow Problems with Box Uncertainty

Rahmah Arie Agustini, Diah Chaerani, Elis Hertini

World Scientific News > 2020 > 141 > 91-102

The maximum flow problem is an optimization problem that aims to find the maximum flow value on a network. This problem can be solved by using Linear Programming. The obstacle that is often faced in determining the maximum flow is the magnitude of the capacity of each side of the network can often be changed due to certain factors. Therefore, we need one of the optimization fields that can calculate...

article

Managing the effectiveness of machines during the assignment of tasks to the production

Marek Krynke

Quality Production Improvement - QPI > 2020 > Vol. 2, Iss. 1 > 188--196

The allocation of production tasks to specific production resources is an important part of preparing the manufacturing process. The amount of profit and costs incurred depends on this division. The efficiency of production resources depends not only on the technologies used, but also on the tasks that will be carried out on them. Therefore, the management of machine efficiency includes both an evaluation...

article

A linear programming methodology for approximate dynamic programming

Henry Díaz, Antonio Sala, Leopoldo Armesto

International Journal of Applied Mathematics and Computer Science > 2020 > Vol. 30, no. 2 > 363--375

The linear programming (LP) approach to solve the Bellman equation in dynamic programming is a well-known option for finite state and input spaces to obtain an exact solution. However, with function approximation or continuous state spaces, refinements are necessary. This paper presents a methodology to make approximate dynamic programming via LP work in practical control applications with continuous...

article

On the binary classification problem in discriminant analysis using linear programming methods

Michael O. Olusola, Sydney I. Onyeagu

Operations Research and Decisions > 2020 > Vol. 30, No. 1 > 119--130

This paper is centred on a binary classification problem in which it is desired to assign a new object with multivariate features to one of two distinct populations as based on historical sets of samples from two populations. A linear discriminant analysis framework has been proposed, called the minimised sum of deviations by proportion (MSDP) to model the binary classification problem. In the MSDP...

article

An output sensitivity problem for a class of linear distributed systems with uncertain initial state

Abdelilah Larrache, Mustapha Lhous, Soukina Ben Rhila, Mostafa Rachik, more

Archives of Control Sciences > 2020 > Vol. 30, No. 1 > 139--155

In this paper,we consider an infinite dimensional linear systems. It is assumed that the initial state of system is not known throughout all the domain Ω C Rⁿ, the initial state x₀ϵ L²(Ω) is supposed known on one part of the domain Ω and uncertain on the rest. That means Ω = ω₁U ω₂U... U ω_twith ω_i∩ ω_j= ∅, ∀_i≠ j ϵ {1,...,t}, i ≠ j where ω_i≠ ∅ and x₀(θ) = α_ifor θ ϵ ω_i, ∀_i, i.e., x₀(θ) = [wzór] (θ) where...

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Search results

The normalized interval regression model with outlier detection and its real-world application to house pricing problems

Alternative formulations for the ordered weighted averaging objective

Solution of the breakage matrix reverse problem

ImpSuic: A quality updating rule in mixing coins with maximum utilities

Determination of optimal battery energy storage system capacity for commercial electricity consumers with photovoltaic systems by integrating battery aging and PV forecast uncertainty

Stabilization of positive coupled differential‐difference equations with unbounded time‐varying delays

A data‐driven approach to study the role of interconnectors in a future low‐carbon electricity supply system

A new method with hybrid direction for linear programming

Weighted linear programming discriminant analysis for high‐dimensional binary classification

Robust and nonfragile consensus of positive multiagent systems via observer‐based output‐feedback protocols

Stability analysis and saturation control for nonlinear positive Markovian jump systems with randomly occurring actuator faults

Optimal alpha spending for sequential analysis with binomial data

Risk management in the process of personnel allocation to jobs

Optimal collecting policy for apheresis platelets in a regional blood center

A linear programming based approach to the Steiner tree problem with a fixed number of terminals

Adjustable Robust Counterpart Optimization Model for Maximum Flow Problems with Box Uncertainty

Managing the effectiveness of machines during the assignment of tasks to the production

A linear programming methodology for approximate dynamic programming

On the binary classification problem in discriminant analysis using linear programming methods

An output sensitivity problem for a class of linear distributed systems with uncertain initial state

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