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Related Concept Videos

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Lagrange Multipliers: Two Constraints01:28

Lagrange Multipliers: Two Constraints

The method of Lagrange multipliers with two constraints is used to optimize a function subject to two independent constraints. In many applications, the objective function represents a quantity to be maximized or minimized, such as cost, area, distance, or energy. The two constraints represent requirements that the solution must satisfy, such as fixed volume, limited resources, or prescribed dimensions.For a function of three variables, each constraint forms a surface in three-dimensional space.
Lagrange Multipliers: Problem Solving01:30

Lagrange Multipliers: Problem Solving

A silo with a cylindrical base, flat bottom, and hemispherical roof is a common design in agricultural and industrial storage due to its structural efficiency and ease of construction. Optimizing its dimensions to maximize storage capacity for a given amount of material—i.e., a fixed surface area—is a classic problem in applied calculus and engineering design. The key parameters are the radius r of the base and the height h of the cylindrical section.The total volume of the silo is obtained by...
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
Distributed Loads: Problem Solving01:21

Distributed Loads: Problem Solving

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...

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Related Experiment Videos

Integrated continuous berth allocation with time-invariant specific quay crane assignment using a mixed-integer model

Yan Zhou1, Xu Cheng2, Yu Cao3

  • 1School of Computer Science and Engineering, Guangzhou Institute of Science and Technology, Guangzhou, 510540, China.

Scientific Reports
|July 5, 2026
PubMed
Summary
This summary is machine-generated.

This study optimizes container terminal operations by integrating berth allocation and specific quay crane assignment. The developed greedy genetic algorithm efficiently generates high-quality schedules, improving vessel turnaround times.

Keywords:
Ablation experimentContainer terminalContinuous berth allocationGreedy genetic algorithmMixed-integer programmingSpecific quay crane assignment

Related Experiment Videos

Area of Science:

  • Maritime Logistics
  • Operations Research
  • Port Management

Background:

  • Container terminals face increasing pressure from vessel traffic and limited capacity.
  • Efficient resource coordination is crucial for terminal performance.

Purpose of the Study:

  • To develop an integrated optimization model for continuous berth allocation and specific quay crane assignment.
  • To minimize total vessel port time by explicitly assigning quay cranes.

Main Methods:

  • Formulation of a mixed-integer programming model.
  • Development of a greedy genetic algorithm with specialized components (initialization, feasibility checking, repair).
  • Validation using real-world data and synthetic instances.

Main Results:

  • The proposed greedy genetic algorithm achieves high-quality, feasible schedules within practical computation times.
  • Ablation studies confirm the effectiveness of greedy initialization and repair mechanisms.
  • The repair mechanism significantly enhances solution quality and stability.

Conclusions:

  • The integrated approach is effective for complex seaside scheduling problems.
  • Explicit quay crane identity decisions and fast feasible schedule generation are key benefits.
  • The method is suitable for real-world container terminal operations.