A Variable Neighborhood Search Using Very Large Neighborhood Structures for the 3-Staged 2-Dimensional Cutting Stock Problem

Author(s):  
Frederico Dusberger ◽  
Günther R. Raidl
Electronics ◽  
2020 ◽  
Vol 9 (11) ◽  
pp. 1860
Author(s):  
Isaac Lozano-Osorio ◽  
Jesus Sanchez-Oro ◽  
Miguel Ángel Rodriguez-Garcia ◽  
Abraham Duarte

The Band Collocation Problem appears in the context of problems for optimizing telecommunication networks with the aim of solving some concerns related to the original Bandpass Problem and to present a more realistic approximation to be solved. This problem is interesting to optimize the cost of networks with several devices connected, such as networks with several embedded systems transmitting information among them. Despite the real-world applications of this problem, it has been mostly ignored from a heuristic point of view, with the Simulated Annealing algorithm being the best method found in the literature. In this work, three Variable Neighborhood Search (VNS) variants are presented, as well as three neighborhood structures and a novel optimization based on Least Recently Used cache, which allows the algorithm to perform an efficient evaluation of the objective function. The extensive experimental results section shows the superiority of the proposal with respect to the best previous method found in the state-of-the-art, emerging VNS as the most competitive method to deal with the Band Collocation Problem.


2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Ibrahim Alharkan ◽  
Khaled Bamatraf ◽  
Mohammed A. Noman ◽  
Husam Kaid ◽  
Emad S. Abouel Nasr ◽  
...  

Variable neighborhood search (VNS) algorithm is proposed for scheduling identical parallel machine. The objective is to study the effect of adding a new neighborhood structure and changing the order of the neighborhood structures on minimizing the makespan. To enhance the quality of the final solution, a machine based encoding method and five neighborhood structures are used in VNS. Two initial solution methods which were used in two versions of improved VNS (IVNS) are employed, namely, longest processing time (LPT) initial solution, denoted as HIVNS, and random initial solution, denoted as RIVNS. The proposed versions are compared with LPT, simulated annealing (SA), genetic algorithm (GA), modified variable neighborhood search (MVNS), and improved variable neighborhood search (IVNS) algorithms from the literature. Computational results show that changing the order of neighborhood structures and adding a new neighborhood structure can yield a better solution in terms of average makespan.


2020 ◽  
Vol 30 (1) ◽  
pp. 3-17
Author(s):  
Milan Drazic

The efficiency of a Variable neighborhood search metaheuristic for continuous global optimization problems greatly depends on geometric shape of neighborhood structures used by the algorithm. Among the neighborhoods defined by balls in ?p, 1 ?p ? ? metric, we tested the ?1, ?2, and ?? ball shape neighborhoods, for which there exist efficient algorithms for obtaining uniformly distributed points. On many challenging high-dimensional problems, our exhaustive testings showed that, popular and the easiest for implementation, ?? ball shape of neighborhoods performed the worst, and much better efficiency was obtained with ?1 and ?2.


Author(s):  
Aprilia Nur Fauziyah ◽  
Wayan Firdaus Mahmudy

<em>Hypertension is a major symptom that cause other diseases appear such as non-communicable diseases, cancer, and diabetes if the nutrients on hypertensive patients not controlled from the actual nutrition need. One of healthy life effort for the patients is consuming healthy food that considers level of salt in the foods. The problem to determine the food composition that considers level of salt and minimum cost of the food is solved using Variable Neighborhood Search. This study compares 3 neighborhood structures: insertion, exchange, and 2-opt. The use of 2-opt neighborhood structure gives the highest fitness averages of other neighborhood structure. Selection and arrangement of neighborhood structure in every k neighborhood have effect on the solution is obtained. The result of this study contains composition of foods with nutrients which are close to the needs of hypertension patients with attentions the sodium and minimal cost within a day.</em>


Author(s):  
Ulrike Ritzinger ◽  
Bin Hu ◽  
Hannes Koller ◽  
Melitta Dragaschnig

A real-world container drayage problem in which containers are transported between an intermodal terminal, a container terminal, and customer locations is considered. The problem was modeled as a multi-resource routing problem (MRRP) that included trucks, trailers, and containers. Given a fleet of trucks and trailers, the goal is to use these resources most efficiently to complete a number of given orders. Orders consisted of several tasks with time windows, such as picking up a container at the terminal, delivering it to a customer, and bringing the processed container back. A challenging aspect of this problem is the management of trailers, which are required to transport the containers. Here, the compatibility between container types and trailer types must be considered. Thus, the decision of which trailer should be attached to which truck depends on the containers that must be transported, the day of availability of trailers, and the toll costs of the truck and trailer combination on the highways. This paper presents an efficient way to model this problem and proposes a metaheuristic approach based on a variable neighborhood search. It uses a compact solution representation and tailored neighborhood structures to reduce the search space. Classical MRRP neighborhood structures, as well as problem-specific ones, were used in combination and contributed to the overall success. The results show that the given real-world problem can be solved efficiently, and it can be shown that with proper planning, the utilization of resources can be increased.


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