scholarly journals Generalization Second Order Macroscopic Traffic Models via Relative Velocity of the Congestion Propagation

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 2001
Author(s):  
Yaroslav Kholodov ◽  
Andrey Alekseenko ◽  
Viktor Kazorin ◽  
Alexander Kurzhanskiy
Keyword(s):  
Wave Propagation ◽  
Relative Velocity ◽  
Second Order ◽  
Traffic Model ◽  
Performance Measurement System ◽  
Traffic Data ◽  
Traffic Models ◽  
Central Piece ◽  
Proposed Model ◽  
Special Cases

This paper presents a generalized second-order hydrodynamic traffic model. Its central piece is the expression for the relative velocity of the congestion (compression wave) propagation. We show that the well-known second-order models of Payne–Whitham, Aw–Rascal and Zhang are all special cases of the featured generalized model, and their properties are fully defined by how the relative velocity of the congestion is expressed. The proposed model is verified with traffic data from a segment of the Interstate 580 freeway in California, USA, collected by the California DOT’s Performance Measurement System (PeMS).

Application of an Element-free Galerkin Method to Water Wave Propagation Problems

2014 ◽  
Vol 60 (1-4) ◽  
pp. 87-105 ◽  
Author(s):  
Ryszard Staroszczyk
Keyword(s):  
Wave Propagation ◽  
Galerkin Method ◽  
Present Model ◽  
Free Surface Elevation ◽  
Element Free Galerkin Method ◽  
Plane Flow ◽  
Element Free Galerkin ◽  
Proposed Model ◽  
Sloping Bed ◽  
Element Free

Abstract The paper is concerned with the problem of gravitational wave propagation in water of variable depth. The problem is solved numerically by applying an element-free Galerkin method. First, the proposed model is validated by comparing its predictions with experimental data for the plane flow in water of uniform depth. Then, as illustrations, results of numerical simulations performed for plane gravity waves propagating through a region with a sloping bed are presented. These results show the evolution of the free-surface elevation, displaying progressive steepening of the wave over the sloping bed, followed by its attenuation in a region of uniform depth. In addition, some of the results of the present model are compared with those obtained earlier by using the conventional finite element method.

Light-Induced Metastable Defects in a-Si:H: Towards an Understanding

1985 ◽  
Vol 49 ◽  
Author(s):  
Martin Stutzmann ◽  
Warren B. Jackson ◽  
Chuang Chuang Tsai
Keyword(s):  
Amorphous Silicon ◽  
Mechanical Stress ◽  
Hydrogenated Amorphous Silicon ◽  
Material Parameters ◽  
Kinetic Behaviour ◽  
Proposed Model ◽  
Special Cases ◽  
The Stability ◽  
Hydrogenated Amorphous

AbstractThe dependence of the creation and the annealing of metastable dangling bonds in hydrogenated amorphous silicon on various material parameters will be discussed in the context of a recently proposed model. After a brief review of the kinetic behaviour governing defect creation and annealing in undoped a- Si:H, a number of special cases will be analyzed: the influence of alloying with O, N, C, and Ge, changes introduced by doping and compensation, and the role of mechanical stress. Finally, possibilities to increase the stability of a-Si:H based devices will be examined.

scholarly journals Traffic model for the interconnection of networks and operators using MPLS-TE

2017 ◽  
Vol 26 (44) ◽  
pp. 85 ◽  
Author(s):  
Carlos Mario Restrepo ◽  
Octavio José Salcedo-Parra ◽  
Juan Manuel Sánchez-Céspedes
Keyword(s):  
Traffic Engineering ◽  
Service Providers ◽  
Global Model ◽  
Traffic Model ◽  
Telecommunication Service ◽  
Model Output ◽  
New Model ◽  
Traffic Models ◽  
Wolfram Mathematica ◽  
Study Case

In this paper, the main features of MPLS Traffic Engineering are presented to illustrate how telecommunication service providers use them to create interconnections between each other in order to offer telecom services satisfying QoS commitments. Based on previous traffic models, a new model, which deals with traffic queue balancing for different Classes of Service, and for a provider using another provider´s network is presented. The model output shows that carrying another operator’s traffic may increase delays in an undesirable manner, forcing the carrier to increase the serving rate of LSRs until Utilization is below 60 %. In order to validate the model, a number of network scenarios are implemented in the Wolfram Mathematica 10.1 Study Version, based on study case configurations of an MPLS network. The total global model is useful for future implementation of test-beds of interconnected providers under an MPLS environment.

scholarly journals Dynamic Analytical Solution of a Piezoelectric Stack Utilized in an Actuator and a Generator

2018 ◽  
Vol 8 (10) ◽  
pp. 1779 ◽  
Author(s):  
Xinnan Liu ◽  
Jianjun Wang ◽  
Weijie Li
Keyword(s):  
Analytical Solution ◽  
Dynamic Characteristics ◽  
Analytical Solutions ◽  
External Load ◽  
Piezoelectric Actuators ◽  
Displacement Method ◽  
Proposed Model ◽  
Special Cases ◽  
Piezoelectric Stacks ◽  
Comprehensive Manner

This paper presents the dynamic analytical solution of a piezoelectric stack utilized in an actuator and a generator based on the linear piezo-elasticity theory. The solutions for two different kinds of piezoelectric stacks under external load were obtained using the displacement method. The effects of load frequency and load amplitude on the dynamic characteristics of the stacks were discussed. The analytical solutions were validated using the available experimental results in special cases. The proposed model is able not only to predict the output properties of the devices, but also to reflect the inner electrical and mechanical components, which is helpful for designing piezoelectric actuators and generators in a comprehensive manner.

scholarly journals On Sums of Cubes of Generalized Fibonacci Numbers: Closed Formulas of Σn k=0 kW3 k and Σn k=1 kW3− k

2020 ◽  
pp. 37-52 ◽  
Author(s):  
Yuksel Soykan
Keyword(s):  
Recurrence Relations ◽  
Fibonacci Numbers ◽  
Second Order ◽  
Lucas Numbers ◽  
Generalized Fibonacci Numbers ◽  
Special Cases

In this paper, closed forms of the sum formulas Σn k=0 kW3 k and Σn k=1 kW3-k for the cubes of generalized Fibonacci numbers are presented. As special cases, we give sum formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers. We present the proofs to indicate how these formulas, in general, were discovered. Of course, all the listed formulas may be proved by induction, but that method of proof gives no clue about their discovery. Our work generalize second order recurrence relations.

scholarly journals Defining the Integrated Performance Measurement Systems in Small and Medium Enterprises: An Advanced Model

2019 ◽  
Vol 14 (12) ◽  
pp. 203
Author(s):  
Pirozzi Maria Grazia ◽  
Agliata Francesco ◽  
Tuccillo Danilo ◽  
Pirozzi Francesco
Keyword(s):  
Performance Measurement ◽  
Measurement System ◽  
Small And Medium Enterprises ◽  
Performance Measurement System ◽  
Strategic Management Accounting ◽  
Proposed Model ◽  
Performance Measurement Systems ◽  
Medium Enterprises ◽  
Integrated Performance ◽  
Advanced Model

Purpose: The purpose of this paper is to propose an “Integrated Performance Measurement System” (PMS) addressing the measurement and management of the financial and non-financial performance and “Intellectual Capital” (IC) for the “Small and Medium Entreprises” (SMEs). The paper relies on the “Integrated New Model” (INM) by Pirozzi and Ferulano (2016) that deals with the same task applied to a specific sector. Thus, we propose the modification of the INM model to define a “Renewed and Advanced Model” called “INM*” as integrated PMS for SMEs. Design/methodology approach: We used a qualitative method with an inductive and deductive approach to obtain an advanced model INM*. Thus, the SMEs characteristics are translated in our advanced INM* model according to the INM* structure and the IC framework. Moreover, we integrated in our proposed model INM* the “Strategic Management Accounting” (SMA) and the “Systems of Innovation” (SI) perspectives. Findings: We proposed the advanced model INM* as integrated PMS. This is a model supporting entrepreneurial and innovative SME as well as a conceptual framework summarizing the interactions and the knowledge conversions that occur between the IC components within the innovation processes. Thus, the proposed model is a useful tool for SMEs organizations. Originality/value: The renewed and advanced model INM* is useful in the academic and practical communities. It exhibits the advantages related to the innovative usage of a unique measurement system devoted to accomplish all the measurement tasks activated by SMEs. In addition, two other models are proposed and, in turn, are available for further research.

scholarly journals Development of Macroscopic Cell-Based Logistic Lane Change Prediction Model

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Christina Ng ◽  
Susilawati Susilawati ◽  
Md Abdus Samad Kamal ◽  
Irene Mei Leng Chew
Keyword(s):  
Prediction Model ◽  
Transmission Model ◽  
Lane Change ◽  
Traffic Data ◽  
Cell Transmission Model ◽  
Traffic State ◽  
Proposed Model ◽  
Significant Difference ◽  
The Mean ◽  
Change Prediction

This paper aims at developing a macroscopic cell-based lane change prediction model in a complex urban environment and integrating it into cell transmission model (CTM) to improve the accuracy of macroscopic traffic state estimation. To achieve these objectives, first, based on the observed traffic data, the binary logistic lane change model is developed to formulate the lane change occurrence. Second, the binary logistic lane change is integrated into CTM by refining CTM formulations on how the vehicles in the cell are moving from one cell to another in a longitudinal manner and how cell occupancy is updated after lane change occurrences. The performance of the proposed model is evaluated by comparing the simulated cell occupancy of the proposed model with cell occupancy of US-101 next generation simulation (NGSIM) data. The results indicated no significant difference between the mean of the cell occupancies of the proposed model and the mean of cell occupancies of actual data with a root-mean-square-error (RMSE) of 0.04. Similar results are found when the proposed model was further tested with I80 highway data. It is suggested that the mean of cell occupancies of I80 highway data was not different from the mean of cell occupancies of the proposed model with 0.074 RMSE (0.3 on average).

Sign in / Sign up

Export Citation Format

Share Document