• Title/Summary/Keyword: Pareto set

Search Result 113, Processing Time 0.029 seconds

An Algorithm for Searching Pareto Optimal Paths of HAZMAT Transportation: Efficient Vector Labeling Approach (위험물 수송 최적경로 탐색 알고리즘 개발: Efficient Vector Labeling 방법으로)

  • Park, Dong-Joo;Chung, Sung-Bong;Oh, Jeong-Taek
    • Journal of the Korean Society of Hazard Mitigation
    • /
    • v.11 no.3
    • /
    • pp.49-56
    • /
    • 2011
  • This paper deals with a methodology for searching optimal route of hazard material (hazmat) vehicles. When we make a decision of hazmat optimal paths, there is a conflict between the public aspect which wants to minimize risk and the private aspect which has a goal of minimizing travel time. This paper presents Efficient Vector Labeling algorithm as a methodology for searching optimal path of hazmat transportation, which is intrinsically one of the multi-criteria decision making problems. The output of the presented algorithm is a set of Pareto optimal paths considering both risk and travel time at a time. Also, the proposed algorithm is able to identify non-dominated paths which are significantly different from each other in terms of links used. The proposed Efficient Vector Labeling algorithm are applied to test bed network and compared with the existing k-shortest path algorithm. Analysis of result shows that the proposed algorithm is more efficient and advantageous in searching reasonable alternative routes than the existing one.

Multi-Item Inventory Problems Revisited Using Genetic Algorithm

  • Das, Prasun
    • Management Science and Financial Engineering
    • /
    • v.13 no.2
    • /
    • pp.29-46
    • /
    • 2007
  • This paper makes an attempt to compare the two important methods for finding solutions of multi-item inventory problem with more than one conflicting objectives. Panda et al.[9] discusses a distance-based method to find the best possible compromise solution with variation of priority under the given weight structure. In this paper, the problem in [9] is revisited through the Pareto-optimal front of genetic algorithm with the help of a situation of retail stocking of FMCG business. The advantages of using the solutions from the perspective of the decision maker obtained through multi-objective optimization are highlighted in terms of population search, weighted goals and priority structure, cost, set of compromise solutions along with prevention of stock-out situation.

Multi-objective job shop scheduling using a competitive coevolutionary algorithm (경쟁 공진화알고리듬을 이용한 다목적 Job shop 일정계획)

  • Lee Hyeon Su;Sin Gyeong Seok;Kim Yeo Geun
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2003.05a
    • /
    • pp.1071-1076
    • /
    • 2003
  • Evolutionary algorithm is recognized as a promising approach to solving multi-objective combinatorial optimization problems. When no preference information of decision makers is given, multi-objective optimization problems have been commonly used to search for diverse and good Pareto optimal solution. In this paper we propose a new multi-objective evolutionary algorithm based on competitive coevolutionary algorithm, and demonstrate the applicability of the algorithm. The proposed algorithm is designed to promote both population diversity and rapidity of convergence. To achieve this, the strategies of fitness evaluation and the operation of the Pareto set are developed. The algorithm is applied to job shop scheduling problems (JSPs). The JSPs have two objectives: minimizing makespan and minimizing earliness or tardiness. The proposed algorithm is compared with existing evolutionary algorithms in terms of solution quality and diversity. The experimental results reveal the effectiveness of our approach.

  • PDF

A Simulation Optimization Method Using the Multiple Aspects-based Genetic Algorithm (다측면 유전자 알고리즘을 이용한 시뮬레이션 최적화 기법)

  • 박성진
    • Journal of the Korea Society for Simulation
    • /
    • v.6 no.1
    • /
    • pp.71-84
    • /
    • 1997
  • For many optimization problems where some of the system components are stochastic, the objective functions cannot be represented analytically. Therefore, modeling by computer simulation is one of the most effective means of studying such complex systems. Many, if not most, simulation optimization problems have multiple aspects. Historically, multiple aspects have been combined ad hoc to form a scalar objective function, usually through a linear combination (weighted sum) of the multiple attributes, or by turning objectives into constraints. The genetic algorithm (GA), however, is readily modified to deal with multiple aspects. In this paper we propose a MAGA (Multiple Aspects-based Genetic Algorithm) as an algorithm for finding the Pareto optimal set. We demonstrate its ability to find and maintain a diverse "Pareto optimal population" on two problems.

  • PDF

A class of accelerated sequential procedures with applications to estimation problems for some distributions useful in reliability theory

  • Joshi, Neeraj;Bapat, Sudeep R.;Shukla, Ashish Kumar
    • Communications for Statistical Applications and Methods
    • /
    • v.28 no.5
    • /
    • pp.563-582
    • /
    • 2021
  • This paper deals with developing a general class of accelerated sequential procedures and obtaining the associated second-order approximations for the expected sample size and 'regret' (difference between the risks of the proposed accelerated sequential procedure and the optimum fixed sample size procedure) function. We establish that the estimation problems based on various lifetime distributions can be tackled with the help of the proposed class of accelerated sequential procedures. Extensive simulation analysis is presented in support of the accuracy of our proposed methodology using the Pareto distribution and a real data set on carbon fibers is also analyzed to demonstrate the practical utility. We also provide the brief details of some other inferential problems which can be seen as the applications of the proposed class of accelerated sequential procedures.

Optimal Supply Chain formation using Agent Negotiation in SET Model based Make-To-Order (최적 공급사슬 구성을 위한 에이전트 협상방법론 개발)

  • Kim Hyun-Soo;Cho Jae-Hyung;Choi Hyung-Rim;Hong Soon-Goo
    • Journal of Intelligence and Information Systems
    • /
    • v.12 no.2
    • /
    • pp.99-123
    • /
    • 2006
  • In an effect to composite an optimal supply chain, this study has introduced an agent-based negotiation as a method to assign a lot of orders to a large number of participants. As a resources allocation mechanism to form a strategic cooperation based on information sharing between supply chain members(buyers, manufacturers, suppliers), this agent negotiation provides coordination functions allowing all participants to make a profit and accomplishing Pareto optimum solution from the viewpoint of a whole supply chain. A SET model-based scheduling takes into consideration both earliness production cost and tardiness production cost, along with a competitive relationship between multiple participants. This study has tried to prove that the result of an agent-based negotiation is a Pareto optimal solution under the dynamic supply chain environment, establishing the mathematical formulation for a performance test, and making a comparison with the heuristic Branch & Bound method.

  • PDF

A New Surrogate-Assisted Multi-Objective Optimization Algorithm (대리 모델을 이용한 새로운 다중목적함수 최적화 알고리즘)

  • Lim, Dong-Kuk;Yeo, Han-Kyeol;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
    • /
    • 2015.07a
    • /
    • pp.882-883
    • /
    • 2015
  • 본 논문에서는 다양한 설계변수와 목적함수를 동시에 고려해야하는 전기기기 설계에 적용하기에 적합한 대리 모델을 이용한 새로운 최적화 알고리즘을 제안하였다. 제안한 알고리즘은 적은 함수호출 횟수만으로도 정확하고 고르게 분포한 Pareto front set을 구현 할 수 있어 유한요소 해석을 이용하는 전기기기 설계에 매우 유용하게 사용될 수 있다. 제안한 알고리즘의 뛰어난 성능을 기존 알고리즘들과의 비교를 통해 입증하였다.

  • PDF

Multi-Objective Integrated Optimal Design of Hybrid Structure-Damper System Satisfying Target Reliability (목표신뢰성을 만족하는 구조물-감쇠기 복합시스템의 다목적 통합최적설계)

  • Ok, Seung-Yong;Park, Kwan-Soon;Song, Jun-Ho;Koh, Hyun-Moo
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.12 no.2
    • /
    • pp.9-22
    • /
    • 2008
  • This paper presents an integrated optimal design technique of a hybrid structure-damper system for improving the seismic performance of the structure. The proposed technique corresponds to the optimal distribution of the stiffness and dampers. The multi-objective optimization technique is introduced to deal with the optimal design problem of the hybrid system, which is reformulated into the multi-objective optimization problem with a constraint of target reliability in an efficient manner. An illustrative example shows that the proposed technique can provide a set of Pareto optimal solutions embracing the solutions obtained by the conventional sequential design method and single-objective optimization method based on weighted summation scheme. Based on the stiffness and damping capacities, three representative designs are selected among the Pareto optimal solutions and their seismic performances are investigated through the parametric studies on the dynamic characteristics of the seismic events. The comparative results demonstrate that the proposed approach can be efficiently applied to the optimal design problem for improving the seismic performance of the structure.

Multicriteria shape design of a sheet contour in stamping

  • Oujebbour, Fatima-Zahra;Habbal, Abderrahmane;Ellaia, Rachid;Zhao, Ziheng
    • Journal of Computational Design and Engineering
    • /
    • v.1 no.3
    • /
    • pp.187-193
    • /
    • 2014
  • One of the hottest challenges in automotive industry is related to weight reduction in sheet metal forming processes, in order to produce a high quality metal part with minimal material cost. Stamping is the most widely used sheet metal forming process; but its implementation comes with several fabrication flaws such as springback and failure. A global and simple approach to circumvent these unwanted process drawbacks consists in optimizing the initial blank shape with innovative methods. The aim of this paper is to introduce an efficient methodology to deal with complex, computationally expensive multicriteria optimization problems. Our approach is based on the combination of methods to capture the Pareto Front, approximate criteria (to save computational costs) and global optimizers. To illustrate the efficiency, we consider the stamping of an industrial workpiece as test-case. Our approach is applied to the springback and failure criteria. To optimize these two criteria, a global optimization algorithm was chosen. It is the Simulated Annealing algorithm hybridized with the Simultaneous Perturbation Stochastic Approximation in order to gain in time and in precision. The multicriteria problems amounts to the capture of the Pareto Front associated to the two criteria. Normal Boundary Intersection and Normalized Normal Constraint Method are considered for generating a set of Pareto-optimal solutions with the characteristic of uniform distribution of front points. The computational results are compared to those obtained with the well-known Non-dominated Sorting Genetic Algorithm II. The results show that our proposed approach is efficient to deal with the multicriteria shape optimization of highly non-linear mechanical systems.

Automatic Calibration of Rainfall-runoff Model Using Multi-objective Function (다중목적함수를 이용한 강우-유출 모형의 자동보정)

  • Lee, Kil-Seong;Kim, Sang-Ug;Hong, Il-Pyo
    • Journal of Korea Water Resources Association
    • /
    • v.38 no.10 s.159
    • /
    • pp.861-869
    • /
    • 2005
  • A rainfall-runoff model should be calibrated so that the model simulates the hydrological behavior of the basin as accurately as possible. In this study, to calibrate the five parameters of the SSARR model, a multi-objective function and the genetic algorithm were used. The solution of the multi-objective function will not, in general, be a single unique set of parameters but will consist of the so-called Pareto solution according to various trade-offs between the different objectives. The calibration strategy using multi-objective function could decrease calibrating time and effort. From the Pareto solution, a single solution could be selected to simulate a specific flow condition.