• Title/Summary/Keyword: traveling salesman

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Development of Fuzzy Logic Ant Colony Optimization Algorithm for Multivariate Traveling Salesman Problem (다변수 순회 판매원 문제를 위한 퍼지 로직 개미집단 최적화 알고리즘)

  • Byeong-Gil Lee;Kyubeom Jeon;Jonghwan Lee
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.46 no.1
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    • pp.15-22
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    • 2023
  • An Ant Colony Optimization Algorithm(ACO) is one of the frequently used algorithms to solve the Traveling Salesman Problem(TSP). Since the ACO searches for the optimal value by updating the pheromone, it is difficult to consider the distance between the nodes and other variables other than the amount of the pheromone. In this study, fuzzy logic is added to ACO, which can help in making decision with multiple variables. The improved algorithm improves computation complexity and increases computation time when other variables besides distance and pheromone are added. Therefore, using the algorithm improved by the fuzzy logic, it is possible to solve TSP with many variables accurately and quickly. Existing ACO have been applied only to pheromone as a criterion for decision making, and other variables are excluded. However, when applying the fuzzy logic, it is possible to apply the algorithm to various situations because it is easy to judge which way is safe and fast by not only searching for the road but also adding other variables such as accident risk and road congestion. Adding a variable to an existing algorithm, it takes a long time to calculate each corresponding variable. However, when the improved algorithm is used, the result of calculating the fuzzy logic reduces the computation time to obtain the optimum value.

A Combined Greedy Neighbor Generation Method of Local Search for the Traveling Salesman Problem

  • Yongho Kim;Junha Hwang
    • Journal of the Korea Society of Computer and Information
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    • v.29 no.4
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    • pp.1-8
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    • 2024
  • The traveling salesman problem(TSP) is one of the well known combinatorial optimization problems. Local search has been used as a method to solve TSP. Greedy Random Insertion(GRI) is known as an effective neighbor generation method for local search. GRI selects some cities from the current solution randomly and inserts them one by one into the best position of the current partial solution considering only one city at a time. We first propose another greedy neighbor generation method which is named Full Greedy Insertion(FGI). FGI determines insertion location one by one like GRI, but considers all remaining cities at once. And then we propose a method to combine GRI with FGI, in which GRI or FGI is randomly selected and executed at each iteration in simulated annealing. According to the experimental results, FGI alone does not necessarily perform very well. However, we confirmed that the combined method outperforms the existing local search methods including GRI.

An Application of Heuristic Algorithms for the Large Scale Traveling Salesman Problem in Printed Circuit Board Production (회로기판 생산에서의 대형 외판원문제를 위한 경험적 해법의 응용)

  • 백시현;김내헌
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.41
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    • pp.177-188
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    • 1997
  • This study describes the important information for establishing Human Computer Interface System for solving the large scale Traveling Saleman Problem in Printed Circuit Board production. Appropriate types and sizes of partitioning of large scale problems are discussed. Optimal tours for the special patterns appeared in PCB's are given. The comparision of optimal solutions of non-Euclidean problems and Euclidean problems shows the possibilities of using human interface in solving the Chebyshev TSP. Algorithm for the large scale problem using described information and coputational result of the practical problem are given.

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Multi-vehicle Route Selection Based on an Ant System

  • Kim, Dong-Hun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.8 no.1
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    • pp.61-67
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    • 2008
  • This paper introduces the multi-vehicle routing problem(MRP) which is different from the traveling sales problem(TSP), and presents the ant system(AS) applied to the MRP. The proposed MRP is a distributive model of TSP since many vehicles are used, not just one salesman in TSP and even some constraints exist. In the AS, a set of cooperating agents called vehicles cooperate to find good solutions to the MRP. To make the proposed MRP extended more, Tokyo city model(TCM) is proposed. The goal in TCM is to find a set of routes that minimizes the total traveling time such that each vehicle can reach its destination as soon as possible. The results show that the AS can effectively find a set of routes minimizing the total traveling time even though the TCM has some constraints.

Uncapacitated Multiple Traveling Purchaser Problem (용량제약이 없는 복수 순회구매자 문제)

  • Choi, Myung-Jin;Lee, Sang-Heon
    • Journal of Korean Institute of Industrial Engineers
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    • v.36 no.2
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    • pp.78-86
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    • 2010
  • The traveling purchaser problem(TPP) is a generalization of the well-known traveling salesman problem(TSP), which has many real-world applications such as purchasing the required raw materials for the manufacturing factories and the scheduling of a set of jobs over some machines, and many others. TPP also could be extended to the vehicle routing problem(VRP) by incorporating additional constraints such as multi-purchaser, capacity, distance and time restrictions. In the last decade, TPP has received some attention of the researchers in the operational research area. However it has not received the equivalent interest as much as TSP and VRP. Therefore, there does not exist a review of the TPP. The purpose of this paper is to review the TPP and to describe solution procedures proposed for this problem. We also introduce the ILP formulation for the multiple TPP(mTPP) which is generalized type of TPP. We compare the system performance according to change from TPP to mTPP.

Heuristic Approach for the Capacitated Multiple Traveling Purchaser Problem (용량제약이 있는 복수 순회구매자 문제의 휴리스틱 해법)

  • Choi, Myung-Jin;Lee, Sang-Heon
    • IE interfaces
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    • v.24 no.1
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    • pp.51-57
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    • 2011
  • The traveling purchaser problem (TPP) is a generalization of the well-known traveling salesman problem (TSP), which has many real-world applications such as purchasing the required raw materials for the manufacturing factories and the scheduling of a set of jobs over some machines, and many others. In the last decade, TPP has received some attention of the researchers in the operational research area. However, all of the past researches for TPP are restricted on a single purchaser (vehicle). It could be the limitation to solve the real world problem. The purpose of this paper is to suggest the capacitated multiple TPP (CMTPP). It could be used in inbound logistics optimization in supply chain management area and many others. Since TPP is known as NP-hard, we also developed the heuristic algorithm to solve the CMTPP.

The Multiple Traveling Purchaser Problem for Minimizing the Maximal Acquisition Completion Time in Wartime (전시 최장 획득완료시간 최소화를 위한 복수 순회구매자 문제)

  • Choi, Myung-Jin;Moon, Woo-Bum;Choi, Jin-Ho
    • Journal of the Korea Institute of Military Science and Technology
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    • v.14 no.3
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    • pp.458-466
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    • 2011
  • In war time, minimizing the logistics response time for supporting military operations is strongly needed. In this paper, i propose the mathematical formulation for minimizing the maximal acquisition completion time in wartime or during a state of emergency. The main structure of this formulation is based on the traveling purchaser problem (TPP), which is a generalized form of the well-known traveling salesman problem (TSP). In the case of the general TPP, an objective function is to minimize the sum of the traveling cost and the purchase cost. However, in this study, the objective function is to minimize the traveling cost only. That's why it's more important to minimize the traveling cost (time or distance) than the purchase cost in wartime or in a state of emergency. I generate a specific instance and find out the optimal solution of this instance by using ILOG OPL STUDIO (CPLEX version 11.1).

A hybrid tabu search algorithm for Task Allocation in Mobile Crowd-sensing

  • Akter, Shathee;Yoon, Seokhoon
    • International Journal of Internet, Broadcasting and Communication
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    • v.12 no.4
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    • pp.102-108
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    • 2020
  • One of the key features of a mobile crowd-sensing (MCS) system is task allocation, which aims to recruit workers efficiently to carry out the tasks. Due to various constraints of the tasks (such as specific sensor requirement and a probabilistic guarantee of task completion) and workers heterogeneity, the task allocation become challenging. This assignment problem becomes more intractable because of the deadline of the tasks and a lot of possible task completion order or moving path of workers since a worker may perform multiple tasks and need to physically visit the tasks venues to complete the tasks. Therefore, in this paper, a hybrid search algorithm for task allocation called HST is proposed to address the problem, which employ a traveling salesman problem heuristic to find the task completion order. HST is developed based on the tabu search algorithm and exploits the premature convergence avoiding concepts from the genetic algorithm and simulated annealing. The experimental results verify that our proposed scheme outperforms the existing methods while satisfying given constraints.

A Learning based Algorithm for Traveling Salesman Problem (강화학습기법을 이용한 TSP의 해법)

  • Lim, JoonMook;Bae, SungMin;Suh, JaeJoon
    • Journal of Korean Institute of Industrial Engineers
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    • v.32 no.1
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    • pp.61-73
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    • 2006
  • This paper deals with traveling salesman problem(TSP) with the stochastic travel time. Practically, the travel time between demand points changes according to day and time zone because of traffic interference and jam. Since the almost pervious studies focus on TSP with the deterministic travel time, it is difficult to apply those results to logistics problem directly. But many logistics problems are strongly related with stochastic situation such as stochastic travel time. We need to develop the efficient solution method for the TSP with stochastic travel time. From the previous researches, we know that Q-learning technique gives us to deal with stochastic environment and neural network also enables us to calculate the Q-value of Q-learning algorithm. In this paper, we suggest an algorithm for TSP with the stochastic travel time integrating Q-learning and neural network. And we evaluate the validity of the algorithm through computational experiments. From the simulation results, we conclude that a new route obtained from the suggested algorithm gives relatively more reliable travel time in the logistics situation with stochastic travel time.