Convergence Of Process Research Articles

Enhanced Whale Optimization Algorithm for Fuzzy Proportional–Integral–Derivative Control Optimization in Unmanned Aerial Vehicles

The traditional PID controller in quadrotor UAVs has poor performance, a large overshoot, and a long adjustment time, which limit its stability and accuracy in practical applications. In order to solve this problem, an improved whale optimization fuzzy PID control strategy based on CRICLE chaos map initialization is proposed, and a detailed simulation analysis was carried out using MATLAB software (MATLAB R2022B). Firstly, to more realistically reflect quadrotor UAVs’ flight behavior, a dynamic simulation model was established, and the dynamics and kinematic characteristics of the aircraft were considered. Then, CRICLE chaotic mapping initialization was introduced to improve the global search ability of the whale optimization algorithm and to effectively initialize the parameters of the fuzzy PID controller. This improved initialization method helped to speed up the convergence process and improve the stability of the control system. In the simulation experiments, we compared the performance indicators of the improved CRICLE chaotic mapping initialization whale optimization fuzzy PID controller to the traditional PID and fuzzy PID controllers, including overshoot, adjustment time, etc. The results show that the proposed control strategy has better performance than the traditional PID and fuzzy PID controllers, significantly reduces overshoot, and achieves a significant improvement in adjustment time. Therefore, the improved CRICLE chaotic mapping initialization whale optimization fuzzy PID control strategy proposed in this study provides an effective solution for improving the performance of the quadrotor control system and has practical application potential.

RGBD Synergetic Model for Image Enhancement in Animation Advertisements

This paper proposes a depth image symbiosis model to solve the problem of insufficient depth image quality in animated advertising. The model uses image surface information and image edge cues as the main guidance information to obtain image symbiosis information. Research data show that the model designed in this paper performs well in convergence, and enters a stable convergence process when the number of iterations is less than 5. Its PSNR data curve has the highest position and best performance, while a composite model structure has been adopted. Compared with the unitary model, the PSNR of this model reaches 41 dB when the number of iterations reaches 5, and the convergence effect of the three-step training is also better. Finally, in practical applications, the average PSNR value of the model mentioned in this article is the highest, 37.1 dB. From this comprehensive perspective, the depth image enhancement model in this study has better comprehensive performance and can provide better image enhancement effects for animation advertising depth images.

Collective intelligence for fighting food waste: changing the way things are done with participatory design

PurposeThis study aims to explore the use of a double diamond design method to engage the industry in a sector-wide response to the issues of food waste as constructed by consumers. This particular design method is achieved by an exploration of a collective intelligence-participatory design (CIPD) project to engage industry participants in understanding and responding to consumers’ perceptions of the role of packaging in reducing food waste.Design/methodology/approachUsing the UK Design Council’s double diamond design method as a guiding conceptual principle, the project recruited industry participants from medium to large food businesses across various food categories. Two scoping workshops with industry were held prior to the initiation of a 12-stage project (n = 57), and then two industry workshops were held (n = 4 and 14). Eighty participants completed an online qualitative survey, and 23 industry participants took part in a Think Tank Sprint Series. The Think Tanks used participatory design approaches to understand barriers and opportunities for change within food industry sub-sectors and test the feasibility and acceptability of package designs to reduce consumer waste.FindingsFor CIPD to work for complex problems involving industry, it is vital that stakeholders across macro- and micro-subsystems are involved and that adequate time is allowed to address that complexity. Using both the right tools for engagement and the involvement of the right mix of representatives across various sectors of industry is critical to reducing blame shift. The process of divergence and convergence allowed clear insight into the long-term multi-pronged approach needed for the complex problem.Originality/valueParticipatory design has been useful within various behaviour change settings. This paper has demonstrated the application of the double diamond model in a social marketing setting, adding value to an industry-wide project that included government, peak bodies, manufacturing and production and retailers.

PCNP: A RoCEv2 congestion control using precise CNP

With the development of data centers, the traditional TCP/IP network stacks have become inadequate in addressing the high bandwidth and low latency demands of diverse upper-layer applications. Some cloud providers deploy RoCEv2 (RDMA over Converged Ethernet v2) technology to accelerate network transmission in their data centers, and the reliable network transmission in RoCEv2 relies on congestion control protocols. Currently, traditional congestion control protocols primarily employ heuristic rate adjustment strategies, which often exhibit inadequate performance in terms of convergence, stability, and fairness. Furthermore, the latest congestion control protocols rely on the support of costly switch hardware, which hinders the incremental expansion of data centers. This paper proposes PCNP, a precise congestion control protocol, it extends standard CNP (Congestion Notification Packet) and introduces a bounded rate adjustment strategy that leverages receiver information to achieve precise rate adjustment within existing data centers. Simulation results demonstrate that PCNP effectively decreases the rate fluctuation during the convergence process and enhances fairness. In comparison to DCQCN, HPCC and PCN, PCNP reduces the standard deviation of flow completion time under the incast traffic by 90%, 91% and 91%, respectively. Additionally, it can reduce the tail flow completion time by up to 83%, 40% and 46%.

A mammalian tripartite enhancer cluster controls hypothalamic Pomc expression, food intake, and body weight

Food intake and energy balance are tightly regulated by a group of hypothalamic arcuate neurons expressing the proopiomelanocortin (POMC) gene. In mammals, arcuate-specific POMC expression is driven by two cis-acting transcriptional enhancers known as nPE1 and nPE2. Because mutant mice lacking these two enhancers still showed hypothalamic Pomc mRNA, we searched for additional elements contributing to arcuate Pomc expression. By combining molecular evolution with reporter gene expression in transgenic zebrafish and mice, here, we identified a mammalian arcuate-specific Pomc enhancer that we named nPE3, carrying several binding sites also present in nPE1 and nPE2 for transcription factors known to activate neuronal Pomc expression, such as ISL1, NKX2.1, and ERα. We found that nPE3 originated in the lineage leading to placental mammals and remained under purifying selection in all mammalian orders, although it was lost in Simiiformes (monkeys, apes, and humans) following a unique segmental deletion event. Interestingly, ablation of nPE3 from the mouse genome led to a drastic reduction (>70%) in hypothalamic Pomc mRNA during development and only moderate (<33%) in adult mice. Comparison between double (nPE1 and nPE2) and triple (nPE1, nPE2, and nPE3) enhancer mutants revealed the relative contribution of nPE3 to hypothalamic Pomc expression and its importance in the control of food intake and adiposity in male and female mice. Altogether, these results demonstrate that nPE3 integrates a tripartite cluster of partially redundant enhancers that originated upon a triple convergent evolutionary process in mammals and that is critical for hypothalamic Pomc expression and body weight homeostasis.

Features of the process of evidence in criminal procedure of the United States of America

Recent years have been marked by a great growth of comparative legal research in various branches of legal science, which are gaining a growing number of supporters. The given process makes it possible to show the originality of certain branches of law, their institutions, norms in different legal systems, to compare the data of a specific branch of law with similar branches in other legal systems, and to reveal national differences. The practical significance of the given activity lies in the study and generalization of both positive and negative legal experience of foreign countries. In today’s transparent world, with the growing importance of the international component in the fight against crime, a legal expert needs knowledge that goes beyond the national legal field for a reason, with the purpose of its proper use in the process of international cooperation in criminal proceedings between states in particular.&#x0D; Nowadays there is the process of convergence of various criminal procedural systems of the world. And in this regard, the Anglo-American system of the criminal procedure, the United States of America (hereinafter the USA) in particular, is quite interesting. The given system has distinctive features that are different from the national system and deserve attention. They are the sources of the US criminal procedural law which include judicial precedent, regulations and legal doctrine. The peculiarity of the given system is that it is based on adversarial proceedings and justice, it generates phenomena of the criminal procedure, namely the plea agreement, the jury trial, the concept of restorative justice, the discretionary powers of persons conducting criminal proceedings, etc. Yet another characteristic feature of the Anglo-American system of the US criminal procedure is the specifics of the implementation of evidentiary criminal procedural activity.&#x0D; The focus of the given article is on the study of the specificity of evidentiary activity, such as questions related to: the concept, classification, sources and properties of evidence in the criminal procedure of the United States of America, the peculiarities of the process of evidence at certain stages of the procedure, the legal position of certain subjects of evidence. The materials of the article are of both theoretical and practical value. They can be used for further scientific research on the peculiarities of national criminal procedural evidence, as well as for the proper understanding and implementation of its law enforcement criminal procedural activity.

New algorithm on linearization-discretization solving systems of nonlinear integro-differential Fredholm equations

This article deals with a new strategy for solving a certain type of nonlinear integro-differential Fredholm equations with a weakly singular kernel. We build our new algorithm starting with the linearization phase using Newton's iterative process, then with the discretization phase we apply the Kantorovich's projection method. The discretized linear scheme will be approximated by the product integration method in the weak singular terms, and the other regular integrals will be approximated by the Nyström method. The process of convergence of our new algorithm is carried out under certain predefined and necessary conditions. Finally, we give practical examples where, the results show the efficiency of our new algorithm for solving systems of weakly singular nonlinear integro-differential equations.

Australian Teachers’ Voices on Religiosity, Spirituality, and Their Link to Job Satisfaction

This paper is the second of a two-part report on a mixed methods study that examined the job satisfaction of teachers who worked in faith-based schools. In part one (Vodéll, 2023), 11 independent variables were identified through quantitative data analysis that impacted the dependent variable of overall job satisfaction (OJS). This led to the development of a model illustrating the factors influencing OJS. In part two, the teachers’ voices are recorded from an unframed perspective. Qualitative data were collected from a sample that consisted of nine faith-based schools in Australia. A thematic analytical approach was applied to the qualitative data (N = 94), and it was found that three major themes emerged as having a major impact on OJS: People, Processes, and Purpose for Teaching. The data from both sources was then triangulated to integrate the findings using a convergent design process. It was found that religiosity impacted OJS directly and indirectly via the mediating element of spirituality. Also, spirituality itself indirectly influenced OJS via the purpose-for-teaching element. Finally, the data indicated that OJS increased when there were positive relationships (students and colleagues) and perceived organisational efficiency within the workplace.

An improved constant current step-based grey wolf optimization algorithm for photovoltaic systems

In this paper, an improved constant current step based on the grey wolf optimization (CCS-GWO) algorithm for photovoltaic systems is investigated. The development of grey wolf optimization has been widely spread over photovoltaic applications. This method is one of the metaheuristic swarm optimization algorithm groups inspired by an optimum means of chasing prey by grey wolves. The proposed technique applies constant current steps to the pack of wolves (alpha, beta, and omega) by monitoring the average of the internal current step and external current step in order to target the leader alpha wolf position. Moreover, the proposed technique solves the convergence process issues, low convergence speed, and premature local optima problems of the traditional GWO algorithm. This CCS-GWO algorithm accurately tracks the maximum power point from the photovoltaic systems for load charging in different partial shading conditions (PSCs). A number of standard benchmark functions are presented with low average cost functions and their corresponding standard deviation values. The simulation results revealed that the proposed CCS-GWO approach outperforms the existing GWO and GA algorithms in terms of efficiency (98.55%) and tracking time (0.3 s).

DIMENSÕES ESTATÍSTICAS DA ECONOMIA CIRCULAR

Purpose: The aim of the research is to study the various aspects of the circular economy in Bulgaria and the countries of the European Union. Method: The article evaluates the circular economy by applying different statistical analysis approaches: multivariate statistical methods, convergence analysis and cross-correlation analysis. Results and conclusion: First, as a result of the conducted dynamic classification of EU countries, it was found that the transition to a circular economy is most advanced in Germany, the Netherlands, Belgium, Spain, Italy and Luxembourg. Second, according to each of the indicators included in the analysis, the absence of a process of general convergence and the presence of club convergence between the EU-27 countries during the period 2012-2019 was established. Convergence among countries in four of the clubs formed is relative, while in the others there is a process of transitional divergence and phase reversal. Third, based on the cross-correlation analysis, we find no relationship between generated and recycled packaging waste in Bulgaria from 2005 to 2019. Between these indicators in the European Union for the same period, there is reason to argue that there is a relationship that occurs within the current year. Fourth, the values of the indicators of waste utilization and rendering waste harmless clearly show that in Bulgaria the waste from economic activities is mainly landfilled, and this is associated with additional costs and leads to environmental pollution. Fifth, the taxonomic analysis shows the existence of minimal differences between the Bulgarian districts in terms of municipal solid waste management.

Genomic Epidemiology of C2/H30Rx and C1-M27 Subclades of Escherichia coli ST131 Isolates from Clinical Blood Samples in Hungary.

Extended-spectrum β-lactamase-producing Escherichia coli ST131 has become widespread worldwide. This study aims to characterize the virulome, resistome, and population structure of E. coli ST131 isolates from clinical blood samples in Hungary. A total of 30 C2/H30Rx and 33 C1-M27 ST131 isolates were selected for Illumina MiSeq sequencing and 30 isolates for MinION sequencing, followed by hybrid de novo assembly. Five C2/H30Rx and one C1-M27 cluster were identified. C1-M27 isolates harbored the F1:A2:B20 plasmid in 93.9% of cases. Long-read sequencing revealed that blaCTX-M-27 was on plasmids. Among the C2/H30Rx isolates, only six isolates carried the C2-associated F2:A1:B- plasmid type. Of 19 hybrid-assembled C2/H30Rx genomes, the blaCTX-M-15 gene was located on plasmid only in one isolate, while in the other isolates, ISEcp1 or IS26-mediated chromosomal integration of blaCTX-M-15 was detected in unique variations. In one isolate a part of F2:A1:B- plasmid integrated into the chromosome. These results suggest that CTX-M-15-producing C2/H30Rx and CTX-M-27-producing C1-M27 subclades may have emerged and spread in different ways in Hungary. While blaCTX-M-27 was carried mainly on the C1/H30R-associated F1:A2:B20 plasmid, the IncF-like plasmids of C2/H30Rx or its composite transposons have been incorporated into the chromosome through convergent evolutionary processes.

Geometric batch optimization for packing equal circles in a circle on large scale

The problem of packing equal circles in a circular container is a classic and famous packing problem, which is well-studied in academia and has a variety of applications in industry. The problem is computationally challenging, and researchers mainly focus on small to moderate-scale instances with the number of circular items n less than 320 in the literature. In this work, we aim to solve this problem on large scale, and it is the bottleneck for most global optimization problems. Specifically, we propose a novel geometric batch optimization method that makes batch gradient descent based on the geometric locations of packing items. This method not only can speed up the convergence process of continuous optimization significantly but also reduce the memory requirement during the program’s runtime. Then, we propose a heuristic search method, called solution-space exploring and descent, that can discover a feasible solution efficiently on large scale. Besides, we propose an adaptive neighbor object maintenance method to maintain the neighbor structure applied in the continuous optimization process. In this way, we can find high-quality solutions on large-scale instances within reasonable computational times. Extensive experiments on the benchmark instances sampled from n= 300 to 1000 show that our proposed algorithm outperforms the state-of-the-art algorithms and performs excellently on large-scale instances. In particular, our algorithm found 10 improved solutions among the 21 well-studied moderate-scale instances and 95 improved solutions among the 101 sampled large-scale instances. Furthermore, our geometric batch optimization, heuristic search, and adaptive maintenance methods are general and can be adapted to other packing and continuous optimization problems.

Convergence analysis of artificial intelligence research capacity: Are the less developed catching up with the developed ones?

AbstractThis study examines whether less developed countries are catching up with developed ones using the log t convergence technique (LCT) and the dynamic spatial ordered probit (DSOP) model. The findings revealed that first, there is no overall convergence in AI research capacity. Second, club clustering analysis showed convergence in four of the five groups of countries on AI research output and in three of the four groups on AI patent grants. Third, the countries are experiencing a slow divergence process in AI research capacity. Fourth, the region, income group and cluster of the countries are influencing the convergence process.

CONVERGENCE IN THE FIELD OF ECONOMICS AND LAW: CORRELATION OF PROCESSES

The activities of the modern state are carried out taking into account the trends inherent in the global community. One of the driving forces behind these trends is the strengthening of economic integration due to the increasing role of finance in the world economy, the effects of globalisation, liberalisation, concentration and centralisation of financial capital, which have shaped the new shape of the modern economic system. The integration of the world economy requires the integration of law in accordance with generally recognised norms and principles at the international level. The international character of law is an external circumstance that determines the facts of legal regulation of the convergence of states and peoples, their economies, cultures and ideologies. Convergence leads to the convergence of different legal systems and economic models. These circumstances indicate the existence of a global phenomenon that can be described as the process of economic and legal convergence. The subject of the study is the patterns of convergence in the field of economics and law. The authors aim to study the genesis of the convergence theory, identify the main trends and prospects for the development of convergence in the current environment, and explain the patterns of convergence in the field of economics and law in the context of globalisation. The methodological basis of the research is the theory of economic and legal convergence, the theory of state regulation of the economy, the theory of socio-economic systems and economic growth developed in the works of domestic and foreign economists, lawyers and philosophers. The study of basic economic and legal institutions is carried out on the basis of the dialectical method, general scientific methods of abstraction, analysis, synthesis and systematic approach. The research of certain issues was carried out using special methods: historical, comparative, interpretation of law, logical and legal, as well as methods of specific economic research, etc. The authors analyse certain issues of economic and legal convergence in terms of their historical formation, relevance, efficiency and prospects for application. Results. Convergence in the field of economics and law is a process of interaction of relevant elements both within national systems and economic and legal systems of different states, characterised by convergence, an increase in the number of links between the elements of converging objects and a certain degree of consistency of the impact of these elements on social relations. On the basis of the study, the authors believe that the use of convergence processes in the field of economics and law at the global level should be carried out only in a harmonious manner, creating common balanced results based on a unifying model of coherent cooperation of the subjects of these processes.

Knowledge spectrum explored: Understanding source-recipient interactions and their influence on technology convergence

In a rapidly evolving technological landscape, firms are strategically diversifying into multiple tech sectors, blurring traditional industry lines through ‘industry convergence’. To comprehend the inception of technology convergence from the roots of knowledge, this study bridges knowledge flow framework with the dynamic capabilities theory, considering the dual roles of firms in knowledge flow and whether they engage in pioneering or follower-type technological innovations. Through this integrated approach, this study classifies technology convergence into four distinct patterns. An analysis of USPTO data spanning 1976–2019 underscores that as knowledge matures, its application in convergence processes intensifies. Pioneers exhibit faster knowledge advancement and maintain focused partnerships, whereas followers diversify across disciplines and pursue extensive collaborations. These results highlight the strategic importance for firms to coordinate their knowledge-based attributes with their technological progression pace. Firms should strategically harmonize their innovation approaches with their market stance to fully leverage the advantages of technology convergence.

SeRL: Style-embedding representation learning for unsupervised CT images synthesis from unpaired MR images

Hepatocellular carcinoma (HCC) is the third leading cause of cancer-related deaths worldwide, and the fastest-growing cause of cancer deaths in the United States. Computed tomography (CT) and magnetic resonance (MR) imaging are the key image-based examination methods for HCC patients. Patients may alternatively undergo CT and MR exams given a radiation dose of the former and the cost of the latter. Due to organ representation differences between CT and MR, it’s a great challenge to detect the tumors from a time series of data consisting of both CT and MR by a single model. The annotations for these time series data will consume much time and labor for the physicians. Thus, we propose our style-embedding representation learning (SeRL) for unsupervised and unpaired abdomen CT and MR translation. Different from current medical image translation models, the style-representation information from real CT and real MR images has been embedded in the translation process to bypass some local minima during the convergence process and improve the synthesis results. Our patch-corrosion augmentation method enhances the style-embedding representation learning by bringing more diversity to the training data. Combined with the self-attention module, SeRL eliminates the noise caused by low grayscale pixel values during translation. Results on the unpaired HCC patient's CT and MR images show that our proposed SeRL is able to generate high quality CT images from MR ones. Evaluations such as Frechet Inception Distance (FID), Sliced Wasserstein Distance (SWD), and liver segmentation dice score are utilized to demonstrate our advantages over other state-of-the-art unsupervised methods.

THE NATIONAL STATE IN THE CONTEXT OF GLOBALIZATION AND GLOBAL DEMOCRACY

The article provides a theoretical and methodological analysis of the processes of globalization and global democracy, examining how these processes alter the position, role, and functions of the modern nation-state while it contends with challenges posed by globalization yet strives to maintain its sovereignty.&#x0D; It is characterized that under the pressure of globalization, changes are occurring in the political and economic spheres that influence nation-states, leading to a gradual erosion of their sovereignty and increased susceptibility to economic influences from other states or transnational corporations.&#x0D; It is noted that the processes of globalization demonstrate the inability of states to fully protect their own interests and citizens from global economic and financial crises, informational impacts, environmental degradation, etc. In such circumstances, the nation-state is no longer the primary actor in the system of international relations, resulting in weakened centralized state institutions, shifts in the perception of state sovereignty, and the emergence of new structures within the global governance system.&#x0D; It is substantiated that global democracy, as a phenomenon introduced by the processes of globalization, is a form of implementation of the universal system of political democratic values as the basis for building a democratic society and the formation of public institutions that are the basis of democracy.&#x0D; It is determined that global democracy is a process of relations between states based on a certain value and normative basis that unites them and keeps them active in the field of certain relations, characterized by the improvement of interconnection between states through the formation of a single information space and the need for a new political order of the world.&#x0D; It is emphasized that the processes of globalization and global democracy are objective processes of convergence of political systems of the world, formation of a policy of common standards and approaches to solving common civilization problems.&#x0D; It is concluded that for Ukraine, in the context of globalization and global democracy, the main factors of strengthening its sovereignty are the establishment of relations with the international community on the principles of democratic governance, development of a competitive economy, democratization of all spheres of public life, socio-political unity of a civil nation, territorial integrity, and sustainable development of the state.

Insular dwarfism in horses from the Aegean Sea and the Japanese archipelago

The horse (Equus caballus) varieties from Skyros and Rhodes islands (Greece) in the Aegean archipelago are extremely small, reaching shoulder heights of only about 1 m. Furthermore, the Japanese archipelago is home to eight small, native horse breeds. We investigated the evolutionary morphology and provided a review of historical documentations of these horses of cultural interest in Greece and Japan, thus providing a comparison of the independent evolution of small size in islands. We integrate cranial data from historical literature with data from newly gathered and curated skulls and analyse a measurement dataset featuring various domestic and mainland horse breeds and varieties. We use non-invasive imaging to study and measure 3D models of the bony labyrinth, housing the inner ear, and the braincase endocast. When considering the effects of allometry by regressing each PC1 scores (for each set of measurements) with the cranial geometric mean from linear measurements as a body size proxy, we show that size explains a large amount of the shape variation in horse crania, the bony labyrinths and brain endocasts. We found high intrabreed variation in all the analysed datasets. Globally, there are at least 30 distinct horse populations on islands, offering the chance to further study processes of convergence in morphological divergence and evaluate the effect of drift and the environment.

Validity and reliability of the Balance Error Score System (BESS) Thai version in patients with chronic non-specific neck pain.

Neck pain has been found to affect the somatosensory system, which can lead to impaired balance control. To assess the balance of patients with neck pain and other conditions, the balance error scoring system (BESS) is commonly used as a static balance measurement tool. However, this tool is seldom used in Thailand due to its English language format. To translate and determine the content, convergent validity, and reliability of a Thai version of the BESS tool. A process of cross-cultural adaptation was utilized to translate BESS into a Thai version, called BESS-TH. To assess content validity, five physical therapy lecturers specializing in the musculoskeletal field used BESS to measure balance in participants with neck pain. For the convergent validity process, 130 patients diagnosed with chronic non-specific neck pain (CNSNP) were randomly assessed using four static balance tests (BESS, Single-leg balance test (SLBT), Romberg test, and Tandem stance test). For reliability, two assessors with varying years of work experience independently assessed videos of the participants twice using the BESS-TH, with a minimum 7-day interval between assessments. The BESS-TH used to assess balance of patients with neck pain demonstrated acceptable content validity (index of item objective congruence (IOC) = 0.87). The Spearman's Rank Correlation Coefficient was calculated between the BESS-TH and three other measures: the SLBT with eyes open and eyes closed, the Romberg test with eyes open and eyes closed, and the Tandem stance test with eyes open and Tandem stance test with eyes closed. The values obtained were as follows: -0.672, -0.712, -0.367, -0.529, -0.570, and -0.738, respectively. The inter-rater and intra-rater reliability were 0.922 (95% CI = 0.864-0.956) and 0.971 (95% CI = 0.950-0.983), respectively. Minimum detectable change (MDC) for the total BESS score of inter-rater and intra-rater reliability were 7.16 and 4.34 points, respectively. The BESS-Thai version was acceptable, reliable, and valid for evaluating balance performance in patients with CNSNP. This tool can be used and applied to clinically evaluate postural control in Thailand.

Establishing a hierarchical local market structure using multi-cut Benders decomposition

Local electricity markets (LEMs) such as peer-to-peer (P2P) and community-based markets allow prosumers and consumers to exchange electricity products and services locally. In order to coordinate electricity trading and flexibility services, this paper proposes a hierarchical prosumer-centric market framework with a hybrid LEM and a local flexibility market (LFM). Multi-cut Benders decomposition (MCBD) is employed to decompose the integrated hybrid LEM into a centralized P2P market and multiple community-based markets. The aggregators coordinate energy sources and demands of households in low voltage (LV) distribution networks (DN) as virtual power plants (VPPs) and engage in trading through a P2P market over the medium voltage (MV) DN. In addition, a modified MCBD (M-MCBD) approach is proposed to accelerate the convergence process. The LFM is operated by the distribution system operator (DSO) and is formulated as a mixed-integer nonlinear programming (MINLP) problem which is further relaxed to a mixed-integer second-order cone programming (MI-SOCP) problem. The case study demonstrates that aggregators were able to collaborate on trading within the hybrid LEM to minimize the costs incurred by prosumers within the network. Furthermore, the proposed M-MCBD method improves the scalability of the MCBD by enhancing its convergence speed and accuracy, as demonstrated by testing on problems of varying scales.