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17,796 Results Found

  • Article
  • Open Access
3 Citations
3,365 Views
17 Pages

16 August 2022

The Behrens–Fisher problem occurs when testing the equality of means of two normal distributions without the assumption that the two variances are equal. This paper presents approaches based on the exact and near-exact distributions for the tes...

(This article belongs to the Special Issue Mathematical and Computational Statistics and Their Applications)
  • Article
  • Open Access
4 Citations
3,098 Views
17 Pages

An Estimation of Distribution Algorithm for Permutation Flow-Shop Scheduling Problem

  • Sami Lemtenneche,
  • Abdallah Bensayah and
  • Abdelhakim Cheriet

31 July 2023

Estimation of distribution algorithms (EDAs) is a subset of evolutionary algorithms widely used in various optimization problems, known for their favorable results. Each generation of EDAs builds a probabilistic model to represent the most promising...

  • Article
  • Open Access
13 Citations
15,169 Views
28 Pages

The Binomial Distribution: Historical Origin and Evolution of Its Problem Situations

  • Jaime Israel García-García,
  • Nicolás Alonso Fernández Coronado,
  • Elizabeth H. Arredondo and
  • Isaac Alejandro Imilpán Rivera

29 July 2022

The increase in available probabilistic information and its usefulness for understanding the world has made it necessary to promote probabilistic literate citizens. For this, the binomial distribution is fundamental as one of the most important distr...

(This article belongs to the Special Issue Statistics Education: An Immediate Need in a Changing World)
  • Article
  • Open Access
1 Citations
2,563 Views
17 Pages

The truck and trailer routing problem (TTRP) has been widely studied under different approaches. This is due to its practical characteristic that makes its research interesting. The TTRP continues to be attractive to developing new evolutionary algor...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
2,681 Views
21 Pages

16 January 2025

Petrol, a vital energy source for residents’ consumption and economically sustainable operation, generates substantial distribution demand. To reduce distribution costs, we propose a fuel replenishment problem using a heterogeneous fleet based...

(This article belongs to the Special Issue Sustainable Transportation and Logistics Optimization)
  • Feature Paper
  • Article
  • Open Access
17 Citations
3,040 Views
24 Pages

15 May 2021

This paper addresses the problem of optimizing the voltage profile of radially-operated distribution systems by acting on the active and reactive powers provided by distributed energy resources (DERs). A novel voltage optimization procedure is propos...

(This article belongs to the Special Issue Control, Optimization and Planning of Power Distribution Systems)
  • Article
  • Open Access
6 Citations
3,604 Views
27 Pages

10 September 2021

The aim of the quay crane scheduling problem (QCSP) is to identify the best sequence of discharging and loading operations for a set of quay cranes. This problem is solved with a new hybrid estimation of distribution algorithm (EDA). The approach is...

(This article belongs to the Special Issue Numerical and Evolutionary Optimization 2021)
  • Article
  • Open Access
6 Citations
4,286 Views
20 Pages

A Two Phase Method for Solving the Distribution Problem in a Fuzzy Setting

  • Krzysztof Kaczmarek,
  • Ludmila Dymova and
  • Pavel Sevastjanov

11 December 2019

In this paper, a new method for the solution of distribution problem in a fuzzy setting is presented. It consists of two phases. In the first of them, the problem is formulated as the classical, fully fuzzy transportation problem. A new, straightforw...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
14 Citations
4,232 Views
18 Pages

An Efficient Simulated Annealing Algorithm for the Vehicle Routing Problem in Omnichannel Distribution

  • Vincent F. Yu,
  • Ching-Hsuan Lin,
  • Renan S. Maglasang,
  • Shih-Wei Lin and
  • Kuan-Fu Chen

22 November 2024

A variant of the vehicle routing problem (VRP) known as the Vehicle Routing Problem in Omnichannel Retailing Distribution Systems (VRPO) has recently been introduced in the literature, driven by the increasing adoption of omnichannel logistics in pra...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
4 Citations
1,673 Views
17 Pages

Sample Distribution Approximation for the Ship Fleet Deployment Problem Under Random Demand

  • Qi Hong,
  • Xuecheng Tian,
  • Haoran Li,
  • Zhiyuan Liu and
  • Shuaian Wang

14 May 2025

The ship fleet deployment problem plays a critical role in maritime logistics management, requiring shipping companies to determine optimal vessel configurations for cargo transportation. This problem inherently contains stochastic elements due to th...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
12 Citations
2,978 Views
20 Pages

An Improved Crow Search Algorithm Applied to the Phase Swapping Problem in Asymmetric Distribution Systems

  • Brandon Cortés-Caicedo,
  • Laura Sofía Avellaneda-Gómez,
  • Oscar Danilo Montoya,
  • Lázaro Alvarado-Barrios and
  • César Álvarez-Arroyo

23 July 2021

This paper discusses the power loss minimization problem in asymmetric distribution systems (ADS) based on phase swapping. This problem is presented using a mixed-integer nonlinear programming model, which is resolved by applying a master–slave metho...

(This article belongs to the Special Issue Theoretical Computer Science and Discrete Mathematics)
  • Feature Paper
  • Article
  • Open Access
8 Citations
3,299 Views
21 Pages

A Metaheuristic Based Approach for the Customer-Centric Perishable Food Distribution Problem

  • Hanane El Raoui,
  • Mustapha Oudani,
  • David A. Pelta and
  • Ahmed El Hilali Alaoui

20 August 2021

High transportation costs and poor quality of service are common vulnerabilities in various logistics networks, especially in food distribution. Here we propose a many-objective Customer-centric Perishable Food Distribution Problem that focuses on th...

(This article belongs to the Special Issue 10th Anniversary of Electronics: Recent Advances in Computer Science & Engineering)
  • Article
  • Open Access
8 Citations
4,530 Views
14 Pages

8 February 2024

Over the years, the vehicle routing problem has been studied by several authors, creating several extensions, such as the multi-compartment vehicle routing problem. Several studies in the literature have addressed this problem, but few have solved it...

  • Article
  • Open Access
12 Citations
5,033 Views
29 Pages

A Green Vehicle Routing Problem with Time-Varying Speeds and Joint Distribution

  • Ying Wang,
  • Jicong Duan,
  • Jiajun Sun,
  • Qin Zhang and
  • Taofeng Ye

20 August 2025

With the rapid growth of urban logistics demand, carbon emissions and the time-varying nature of vehicle speeds have become critical challenges in sustainable transportation planning. This paper addresses a Time-Dependent Green Vehicle Routing Proble...

(This article belongs to the Special Issue Intelligent Systems and Consciousness Society: Sustainable Transportation and Decision Making)
  • Article
  • Open Access
29 Citations
5,756 Views
17 Pages

12 August 2016

This study addresses the design of a four-stage production distribution system under a carbon emission constraint. The first stage contains a set of established retail outlets. The second stage consists of a set of possible distribution centers. The...

  • Article
  • Open Access
1 Citations
3,112 Views
15 Pages

11 November 2020

We introduce a quantum key distribution protocol using mean multi-kings’ problem. Using this protocol, a sender can share a bit sequence as a secret key with receivers. We consider a relation between information gain by an eavesdropper and dist...

(This article belongs to the Special Issue Physical-Layer Security, Quantum Key Distribution and Post-quantum Cryptography)
  • Article
  • Open Access
7 Citations
3,254 Views
29 Pages

19 February 2024

In order to explore the positive impact of the joint distribution model on the reduction in logistics costs in small-scale logistics enterprises, considering the demand on enterprises for simultaneous pick-up and delivery, as well as the cost of carb...

(This article belongs to the Special Issue Advances in Urban Transport and Vehicle Routing)
  • Article
  • Open Access
12 Citations
3,759 Views
25 Pages

6 July 2020

Sustainable distribution network design for the maintenance components of electric multiple units (EMUs) is critical to reduce the problem of unreasonable resource allocation and capital occupation of high-speed railway (HSR) operations. Motivated by...

(This article belongs to the Special Issue Sustainable Urban Transport Policy in the Context of New Mobility)
  • Article
  • Open Access
27 Citations
5,753 Views
21 Pages

26 July 2021

This study addresses a multi-objective stochastic solid transportation problem (MOSSTP) with uncertainties in supply, demand, and conveyance capacity, following the Weibull distribution. This study aims to minimize multiple transportation costs in a...

  • Article
  • Open Access
3 Citations
2,660 Views
27 Pages

18 June 2020

This study attempts to consider CO2 emission cost to propose an online distribution system of inventory-routing problem with simultaneous deliveries and returns (IRPSDRCO2). The proposed IRPSDRCO2 mathematical models will be developed to find the tot...

  • Article
  • Open Access
1 Citations
2,944 Views
22 Pages

In extreme weather conditions, the use of unmanned ground vehicles (UGVs) for material distribution enhances safety. We introduce a two-echelon unmanned ground vehicle routing problem (2E-UGVRP) and proposes a hybrid Artificial Bee Colony–Wild...

  • Article
  • Open Access
14 Citations
5,432 Views
16 Pages

The no idle permutation flow shop scheduling problem (NIPFSP) is a popular NP-hard combinatorial optimization problem, which exists in several real world production processes. This study proposes a novel hybrid estimation of the distribution algorith...

(This article belongs to the Special Issue Sustainability of Economic and Management Systems: Perspectives of Uncertainty and Data Driven Optimization)
  • Article
  • Open Access
2 Citations
3,723 Views
14 Pages

17 July 2022

This study extends the newsvendor model to address customer balking and its penalty under service-level constraints. The model designed in this study determines the optimal order quantity to derive the maximum expected profit when a customer is reluc...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
18 Citations
6,244 Views
26 Pages

21 November 2023

The permutation flow-shop scheduling problem is a classical problem in scheduling that aims at identifying the optimal sequence of jobs that should be processed in a number of machines in an effort to minimize makespan or some other performance crite...

(This article belongs to the Special Issue Technologies, Algorithms and Applications for Planning, Scheduling and Optimization)
  • Article
  • Open Access
39 Citations
5,932 Views
16 Pages

21 June 2019

To address the shortage of relief in disaster areas during the early stages after an earthquake, a location-routing problem (LRP) was studied from the perspective of fairness. A multi-objective model for the fair LRP was developed by lexicographic or...

(This article belongs to the Special Issue Methodologies and Applications of Multiple Criteria Decision Making for Sustainable Development)
  • Article
  • Open Access
1 Citations
2,602 Views
10 Pages

20 June 2022

Rational eigenvalue problems (REPs) have important applications in engineering applications and have attracted more and more attention in recent years. Based on the theory of low-rank modification, we discuss the spectral properties and distribution...

(This article belongs to the Special Issue Selected Papers from the 2021 International Conference on Matrix Inequalities and Matrix Equations)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,994 Views
14 Pages

Gibbs Distribution and the Repairman Problem

  • Hassan Chetouani and
  • Nikolaos Limnios

29 September 2023

In this paper, we obtain weak convergence results for a family of Gibbs measures depending on the parameter θ>0 in the following form dPθ(x)=Zθexp−Hθ(x)/θdQ(x), where we show that the limit distribution is conce...

(This article belongs to the Special Issue Probability and Stochastic Processes with Applications to Communications, Systems and Networks, 2nd Edition)
  • Article
  • Open Access
9 Citations
1,930 Views
23 Pages

9 August 2023

In this paper, we consider a class of matrix functions that contains regularization matrices of Mirzoev and Shkalikov for differential operators with distribution coefficients of order n≥2. We show that every matrix function of this class is assoc...

(This article belongs to the Special Issue Spectral Theory and Its Applications in Problems of Mathematical Physics)
  • Article
  • Open Access
20 Citations
6,194 Views
21 Pages

1 August 2018

The cooperative, reliable and responsive characteristics make smart grid more popular than traditional power grid. However, with the extensive employment of smart grid concepts, the traditional centralized control methods expose a lot of shortcomings...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
18 Citations
3,623 Views
17 Pages

22 November 2021

In this paper, we propose an approach to inverse spectral problems for the n-th order (n≥2) ordinary differential operators with distribution coefficients. The inverse problems which consist in the reconstruction of the differential expression coe...

(This article belongs to the Special Issue New Trends on Boundary Value Problems)
  • Article
  • Open Access
2,011 Views
25 Pages

30 October 2023

This paper deals with two-level production and distribution planning problems in supply chain management where the leader is a distributor and the follower is a manufacturer. Assuming that the distributor can observe the input–output data in th...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
2 Citations
12,747 Views
22 Pages

13 March 2015

Distributed constraint satisfaction problems (DisCSPs) are among the widely endeavored problems using agent-based simulation. Fernandez et al. formulated sensor and mobile tracking problem as a DisCSP, known as SensorDCSP In this paper, we adopt a cu...

  • Article
  • Open Access
5 Citations
2,010 Views
16 Pages

26 February 2024

Distributed scheduling has become a common manufacturing mode, and the distributed job scheduling problem (DJSP) has attracted more manufacturers and researchers in the field of operation research. For the distributed scheduling problem, it emphasize...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
2,823 Views
14 Pages

19 May 2022

This paper focuses on the design of a distributed algorithm for generalized eigenvalue problems (GEPs) in one-shot communication. Since existing distributed methods for eigenvalue decomposition cannot be applied to GEP, a general one-shot distributed...

(This article belongs to the Special Issue Selected Papers from the ICCAI and IMIP 2022)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,119 Views
10 Pages

12 November 2021

For the spatially-distributed Fermi–Pasta–Ulam (FPU) equation, irregular solutions are studied that contain components rapidly oscillating in the spatial variable, with different asymptotically large modes. The main result of this paper is the constr...

(This article belongs to the Special Issue Nonlinear Dynamics)
  • Article
  • Open Access
1,490 Views
23 Pages

This paper investigates the problem of identifying a time-dependent source term in distributed-order time-space fractional diffusion equations (FDEs) based on boundary observation data. Firstly, the existence, uniqueness, and regularity of the soluti...

  • Article
  • Open Access
2,167 Views
14 Pages

Competitive Analysis of Algorithms for an Online Distribution Problem

  • Alessandro Barba,
  • Luca Bertazzi and
  • Bruce L. Golden

3 June 2024

We study an online distribution problem in which a producer has to send a load from an origin to a destination. At each time period before the deadline, they ask for transportation price quotes and have to decide to either accept or not accept the mi...

(This article belongs to the Collection Feature Papers in Randomized, Online and Approximation Algorithms)
  • Article
  • Open Access
2 Citations
3,349 Views
21 Pages

23 April 2019

The economic dispatch problem (EDP) is a significant class of optimization issues in the power system, which works on minimizing the total cost when generating a certain amount of power. A novel distributed approach for EDP is proposed in this paper....

  • Article
  • Open Access
22 Citations
6,033 Views
19 Pages

14 June 2017

The development of distributed energy systems in China is one of the important measures to promote the revolution for energy production and its utilization patterns. First of all, we analyze the present application status of China’s distributed gener...

  • Article
  • Open Access
7 Citations
6,986 Views
25 Pages

Solving the Longest Common Subsequence Problem Concerning Non-Uniform Distributions of Letters in Input Strings

  • Bojan Nikolic,
  • Aleksandar Kartelj,
  • Marko Djukanovic,
  • Milana Grbic,
  • Christian Blum and
  • Günther Raidl

29 June 2021

The longest common subsequence (LCS) problem is a prominent NP–hard optimization problem where, given an arbitrary set of input strings, the aim is to find a longest subsequence, which is common to all input strings. This problem has a variety of app...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
8 Citations
3,226 Views
18 Pages

Distributed Optimization for Resource Allocation Problem with Dynamic Event-Triggered Strategy

  • Feilong Guo,
  • Xinrui Chen,
  • Mengyao Yue,
  • Haijun Jiang and
  • Siyu Chen

4 July 2023

This study aims to unravel the resource allocation problem (RAP) by using a consensus-based distributed optimization algorithm under dynamic event-triggered (DET) strategies. Firstly, based on the multi-agent consensus approach, a novel one-to-all DE...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
5 Citations
3,091 Views
41 Pages

28 February 2024

In the field of energy networks, for their effective functioning, it is necessary to distribute the required load between all online generating units in a proper way to cover the demand. The load schedule is obtained by solving the so-called Economic...

(This article belongs to the Topic Smart Energy)
  • Article
  • Open Access
20 Citations
3,135 Views
26 Pages

28 October 2021

In this paper, a hybrid bat optimization algorithm based on variable neighbourhood structure and two learning strategies is proposed to solve a three-stage distributed assembly permutation flowshop scheduling problem to minimize the makespan. The alg...

(This article belongs to the Special Issue Algorithms and Methods for Designing and Scheduling Smart Manufacturing Systems)
  • Article
  • Open Access
6 Citations
3,015 Views
23 Pages

A Novel Distributed Consensus-Based Approach to Solve the Economic Dispatch Problem Incorporating the Valve-Point Effect and Solar Energy Sources

  • Muhammad Moin,
  • Waqas Ahmed,
  • Muhammad Rehan,
  • Muhammad Iqbal,
  • Nasim Ullah,
  • Kamran Zeb and
  • Waqar Uddin

30 December 2022

This research focused on the design of a distributed approach using consensus theory to find an optimal solution of the economic dispatch problem (EDP) by considering the quadratic cost function along with the valve-point effect of generators and ren...

(This article belongs to the Special Issue Microgrids and Its Application to Integrated Energy Systems and Islanded Active Distribution Networks)
  • Article
  • Open Access
11 Citations
3,148 Views
18 Pages

21 January 2022

In this paper, the distributed unrelated parallel machines scheduling problem (DUPMSP) is studied and a hybrid imperialist competitive algorithm (HICA) is proposed to minimize total tardiness. All empires were categorized into three types: the strong...

(This article belongs to the Special Issue Meta-Heuristics for Manufacturing Systems Optimization)
  • Feature Paper
  • Review
  • Open Access
16 Citations
5,022 Views
28 Pages

On the Development of Overcurrent Relay Optimization Problem for Active Distribution Networks

  • Rene Prenc,
  • Michele Rojnić,
  • Dubravko Franković and
  • Saša Vlahinić

7 September 2022

The goal of this review paper will be to address complex optimization functions in the area of overcurrent relay optimization, to inspect and valorize their objectives and to critically examine their application in real distribution networks. Special...

(This article belongs to the Section A1: Smart Grids and Microgrids)
  • Article
  • Open Access
1 Citations
1,667 Views
13 Pages

26 August 2025

The blocking job shop problem (BJSSP) is a variant of the classical job shop problem, where a job completed on one machine cannot be transferred to the next machine until the latter becomes available, causing the current machine to remain blocked. Ma...

(This article belongs to the Special Issue Design, Analysis, Intelligent Control and Optimization of Industrial and Manufacturing Processes)
  • Article
  • Open Access
5 Citations
2,926 Views
21 Pages

28 June 2023

Data-centric inverse problems are a process of inferring physical attributes from indirect measurements. Full-waveform inversion (FWI) is a non-linear inverse problem that attempts to obtain a quantitative physical model by comparing the wave equatio...

(This article belongs to the Special Issue Twenty Years of Kaniadakis Entropy: Current Trends and Future Perspectives)
  • Article
  • Open Access
8 Citations
5,095 Views
12 Pages

7 July 2017

In this paper, we present an improved distribution plan supporting an urban distribution center (UDC) to solve the last mile problem of urban freight. This is motivated by the need of UDCs to satisfy daily demand in time under a high service level in...

  • Article
  • Open Access
11 Citations
4,468 Views
27 Pages

22 December 2019

In this paper, an improved power management strategy (PMS) for multi-agent system (MAS)-based distributed control of DC microgrid (DCMG) under communication network problems is presented in order to enhance the reliability of DCMG and to ensure the s...

(This article belongs to the Special Issue Integration of AC/DC Microgrids into Power Grids)

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