A Mathematical Model for Three-Dimensional Open Dimension Packing Problem with Product Stability Constraints

2020 ◽  
pp. 241-254
Author(s):  
Cong-Tan-Trinh Truong ◽  
Lionel Amodeo ◽  
Farouk Yalaoui
Keyword(s):  
Mathematical Model ◽  
Three Dimensional ◽  
Packing Problem

A Real-Time Mathematical Model for Three-Dimensional Tidal Flow and Water Quality

1991 ◽  
Vol 24 (6) ◽  
pp. 171-177 ◽  
Author(s):  
Zeng Fantang ◽  
Xu Zhencheng ◽  
Chen Xiancheng
Keyword(s):  
Mathematical Model ◽  
Water Quality ◽  
Real Time ◽  
Control Volume ◽  
Tidal Flow ◽  
Three Dimensional ◽  
River Estuary ◽  
Pearl River Estuary ◽  
Practical Application ◽  
The Pearl River

A real-time mathematical model for three-dimensional tidal flow and water quality is presented in this paper. A control-volume-based difference method and a “power interpolation distribution” advocated by Patankar (1984) have been employed, and a concept of “separating the top-layer water” has been developed to solve the movable boundary problem. The model is unconditionally stable and convergent. Practical application of the model is illustrated by an example for the Pearl River Estuary.

MATHEMATICAL MODEL FOR APPROXIMATING TRANSIENT, THREE-DIMENSIONAL GROUNDWATER SYSTEMS.

1970 ◽  
Author(s):  
A.E. Reisenauer ◽  
D.B. Cearlock ◽  
C.A. Bryan
Keyword(s):  
Mathematical Model ◽  
Three Dimensional ◽  
Groundwater Systems

Research on cargo-loading optimization based on genetic and fuzzy integration

2021 ◽  
Vol 40 (4) ◽  
pp. 8493-8500
Author(s):  
Yanwei Du ◽  
Feng Chen ◽  
Xiaoyi Fan ◽  
Lei Zhang ◽  
Henggang Liang
Keyword(s):  
Genetic Algorithm ◽  
Mathematical Model ◽  
Three Dimensional ◽  
Distribution Center ◽  
Long Time ◽  
Low Efficiency ◽  
Decision Making Model ◽  
The Mathematical Model ◽  
Loading Scheme

With the increase of the number of loaded goods, the number of optional loading schemes will increase exponentially. It is a long time and low efficiency to determine the loading scheme with experience. Genetic algorithm is a search heuristic algorithm used to solve optimization in the field of computer science artificial intelligence. Genetic algorithm can effectively select the optimal loading scheme but unable to utilize weight and volume capacity of cargo and truck. In this paper, we propose hybrid Genetic and fuzzy logic based cargo-loading decision making model that focus on achieving maximum profit with maximum utilization of weight and volume capacity of cargo and truck. In this paper, first of all, the components of the problem of goods stowage in the distribution center are analyzed systematically, which lays the foundation for the reasonable classification of the problem of goods stowage and the establishment of the mathematical model of the problem of goods stowage. Secondly, the paper abstracts and defines the problem of goods loading in distribution center, establishes the mathematical model for the optimization of single car three-dimensional goods loading, and designs the genetic algorithm for solving the model. Finally, Matlab is used to solve the optimization model of cargo loading, and the good performance of the algorithm is verified by an example. From the performance evaluation analysis, proposed the hybrid system achieve better outcomes than the standard SA model, GA method, and TS strategy.

AN EFFICIENT APPROACH FOR THE THREE-DIMENSIONAL CONTAINER PACKING PROBLEM WITH PRACTICAL CONSTRAINTS

2004 ◽  
Vol 21 (03) ◽  
pp. 279-295 ◽  
Author(s):  
ZHIHONG JIN ◽  
KATSUHISA OHNO ◽  
JIALI DU
Keyword(s):  
Three Dimensional ◽  
Real Life ◽  
Packing Problem ◽  
Utilization Rate ◽  
Benchmark Problems ◽  
Rectangular Container ◽  
Efficient Packing ◽  
High Degree ◽  
Practical Constraints ◽  
Inherent Stability

This paper deals with the three-dimensional container packing problem (3DCPP), which is to pack a number of items orthogonally onto a rectangular container so that the utilization rate of the container space or the total value of loaded items is maximized. Besides the above objectives, some other practical constraints, such as loading stability, the rotation of items around the height axis, and the fixed loading (unloading) orders, must be considered for the real-life 3DCPP. In this paper, a sub-volume based simulated annealing meta-heuristic algorithm is proposed, which aims at generating flexible and efficient packing patterns and providing a high degree of inherent stability at the same time. Computational experiments on benchmark problems show its efficiency.

scholarly journals Heuristics Algorithms Based on a Linear Programming for the Three-Dimensional Bin-Packing Problem

2010 ◽  
Vol 43 (8) ◽  
pp. 72-76 ◽  
Author(s):  
Mhand Hifi ◽  
Imed Kacem ◽  
Stephane Negre ◽  
Lei Wu
Keyword(s):  
Linear Programming ◽  
Bin Packing ◽  
Three Dimensional ◽  
Packing Problem ◽  
Bin Packing Problem

Design of Synchronous Machine Model Based on PRO/E and Dynamic Simulation

2012 ◽  
Vol 246-247 ◽  
pp. 1220-1225
Author(s):  
You Kun Zhong
Keyword(s):  
Mathematical Model ◽  
Dynamic Simulation ◽  
Three Dimensional ◽  
Transmission System ◽  
Synchronous Machine ◽  
Dimensional Model ◽  
Transmission Performance ◽  
Three Dimensional Model ◽  
Machine Model ◽  
Working Principle

With the increasing of the number of cars, people are also getting higher and higher demands on the performance of the car, and especially pay attention to the improvement and optimization of automobile transmission system. The transmission is a key part of automobile transmission system, and transmission performance and stability depend on the synchronous machine, so in order to make the vehicle transmission system with higher efficiency, it is necessary to study the synchronous machine. On the basis of elaborating synchronous machine working principle, the use of dynamics theory to establish mathematical model of synchronous machine system, and to carry out the simulation of synchronous machine three-dimensional model in PRO/E environment, then the use of virtual prototype technology to optimize the parameters of synchronous machine, thereby improving the performance of synchronous machine.

Guided Local Search for the Three-Dimensional Bin-Packing Problem

2003 ◽  
Vol 15 (3) ◽  
pp. 267-283 ◽  
Author(s):  
Oluf Faroe ◽  
David Pisinger ◽  
Martin Zachariasen
Keyword(s):  
Local Search ◽  
Bin Packing ◽  
Three Dimensional ◽  
Packing Problem ◽  
Guided Local Search ◽  
Bin Packing Problem
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