Related Experiment Video
Updated: Mar 17, 2026
14:55
Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
Published on: January 20, 2023
4.5K
Time-varying maximum capacity path problem with zero waiting times and fuzzy capacities
1Department of Mathematics, Faculty of Basic Sciences, University of Qom, Qom, Iran.
Springerplus
|July 19, 2016
Summary
This study presents an algorithm for the maximum capacity path problem in dynamic networks with fuzzy capacities. It finds optimal paths within a given time horizon, excluding waiting times at network nodes.
Area of Science:
- Operations Research
- Network Optimization
- Fuzzy Mathematics
Background:
- The maximum capacity path problem is crucial in network analysis.
- Time-varying networks introduce dynamic challenges to pathfinding.
- Fuzzy numbers are used to model uncertain network capacities.
Purpose of the Study:
- To address the maximum capacity path problem in time-varying networks.
- To incorporate generalized trapezoidal fuzzy numbers for network capacities.
- To develop an algorithm for finding optimal paths within a specified time horizon.
Main Methods:
- Formulation of the maximum capacity path problem with fuzzy capacities.
- Development of an exact algorithm for time-constrained pathfinding.
- Analysis of network dynamics and fuzzy number properties.
Main Results:
- An algorithm is proposed to find optimal paths in time-varying networks.
- The algorithm handles generalized trapezoidal fuzzy numbers as capacities.
- Solutions are constrained by a maximum path time T.
Conclusions:
- The proposed algorithm provides an effective solution for the maximum capacity path problem under fuzzy and dynamic conditions.
- This research contributes to efficient network flow optimization in complex scenarios.
- The method is applicable to networks where capacities and time are critical factors.
Related Concept Videos
01:23Maximum Power Flow and Line Loadability
694
The maximum power flow for lossy transmission lines is derived using ABCD parameters in phasor form. These parameters create a matrix relationship between the sending-end and receiving-end voltages and currents, allowing the determination of the receiving-end current. This relationship facilitates calculating the complex power delivered to the receiving end, from which real and reactive power components are derived.
694
01:21Distributed Loads: Problem Solving
1.2K
Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
1.2K
01:13Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
382
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
382
00:48Optimal Foraging
14.2K
How animals obtain and eat their food is called foraging behavior. Foraging can include searching for plants and hunting for prey and depends on the species and environment.
14.2K
01:26Energy Stored in a Capacitor: Problem Solving
1.9K
In 1749, Benjamin Franklin coined the word battery for a series of capacitors connected to store energy. Capacitors store electric potential energy that can be released over a short time. This property means capacitors have a wide range of applications.
Capacitor-discharge ignition is a type of ignition system commonly found in small engines where the energy released from a capacitor ignites an induction coil that, in turn, fires the spark plug.
To calculate the energy stored in a capacitor of...
Capacitor-discharge ignition is a type of ignition system commonly found in small engines where the energy released from a capacitor ignites an induction coil that, in turn, fires the spark plug.
To calculate the energy stored in a capacitor of...
1.9K
01:30Introduction to Limits
333
A limit describes the value a function approaches as its input moves closer to a particular point. Even when a function is undefined at a specific value, limits allow us to analyze its behavior near that point. This concept is fundamental in calculus and essential for understanding continuity, derivatives, and integrals.Mathematically, a function f(x) has a limit L at x = a if its values L approach x as x gets arbitrarily close to a. This is written as:This notation expresses that the function...
333