• Title/Summary/Keyword: Multiple Traveling Salesman Problem

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Flow based heuristics for the multiple traveling salesman problem with time windows

  • Lee, Myung-Sub
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1993.04a
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    • pp.354-366
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    • 1993
  • In this paper, new algorithms for solving the multiple traveling salesman problem with time windows are presented. These algorithms are based on the flow based algorithms for solving the vehicle scheduling problem. Computational results on problems up to 750 customers indicate that these algorithms produce superior results to existing heuristic algorithms for solving the vehicle routing problems when the time windows are 'tight enough' where 'tight enough' is based on a metric proposed by desrosiers et al.(1987).

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Heterogeneous Multiple Traveling Purchaser Problem with Budget Constraint (예산 제약을 고려한 다용량 복수 순회구매자 문제)

  • Choi, Myung-Jin;Lee, Sang-Heon
    • Journal of the Korean Operations Research and Management Science Society
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    • v.35 no.1
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    • pp.111-124
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    • 2010
  • In the last decade, traveling purchaser problem (TPP) has received some attention of the researchers in the operational research area. 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 this paper we suggest heterogeneous multiple traveling purchaser problem with budget constraint (HMTPP-B) which looks for several cycles starting at and ending to the depot and visiting a subset at a minimum traveling cost and such that the demand for each product is satisfied and the cost spent for purchasing the products does not exceed a given budget threshold. All the past studies of TPP are restricted on a single purchaser. Therefore we randomly generated some instances. CPLEX is used for getting optimal solutions in these experiments.

Analysis of Tour Information Services using Agent-based Simulation (시뮬레이션 모형을 통한 관광정보서비스 효과 분석)

  • Kim, Hyeon-Myeong;O, Jun-Seok
    • Journal of Korean Society of Transportation
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    • v.24 no.6 s.92
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    • pp.103-117
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    • 2006
  • This study develops an agent-based simulation model to evaluate tourist information systems under ubiquitous environment. In this study, individual tourist's activity chaining behavior is formulated as a utility maximization problem. The underlying assumption of the model is that tourists increase their activities within their time and budget constraints to maximize their utilities. The model seeks individual's optimal tour schedule by solving Prize-Collecting Multiple-Day Traveling Salesman Problem(PC MD TSP). The simulation-based evaluation framework allows investigating individual utility gains by their information type and the total expenditure at each tour attractions. The real-time tour activity scheduling system enables tourists to optimize their tour activities by minimizing their time loss and maximizing their opportunity to use high utility facilities.

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 Logistics Response Time in Wartime (전시 군수반응시간 최소화를 위한 복수 순회구매자 문제)

  • Choi, Myung-Jin
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.3
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    • pp.431-437
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    • 2010
  • It's strongly needed to minimize the logistics response time for supporting military operations in wartime. In this paper, we suggest the ILP formulation for minimizing logistics response time in wartime. 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 general TPP, objective function is to minimize the sum of traveling cost and purchase cost. But, in this study, objective function is to minimize traveling cost only. That's why it's more important to minimize traveling cost(time or distance) than purchase cost in wartime. We find out optimal solution of this problem by using ILOG OPL STUDIO(CPLEX v.11.1) and do the sensitive analysis about computing time according to number of operated vehicles.

GPU-based Parallel Ant Colony System for Traveling Salesman Problem

  • Rhee, Yunseok
    • Journal of the Korea Society of Computer and Information
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    • v.27 no.2
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    • pp.1-8
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    • 2022
  • In this paper, we design and implement a GPU-based parallel algorithm to effectively solve the traveling salesman problem through an ant color system. The repetition process of generating hundreds or thousands of tours simultaneously in TSP utilizes GPU's task-level parallelism, and the update process of pheromone trails data actively exploits data parallelism by 32x32 thread blocks. In particular, through simultaneous memory access of multiple threads, the coalesced accesses on continuous memory addresses and concurrent accesses on shared memory are supported. This experiment used 127 to 1002 city data provided by TSPLIB, and compared the performance of sequential and parallel algorithms by using Intel Core i9-9900K CPU and Nvidia Titan RTX system. Performance improvement by GPU parallelization shows speedup of about 10.13 to 11.37 times.

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).

An algorithm for multiple Salesmen problems (다중 경로 탐색 알고리즘)

  • Song, Chi-Hwa;Lee, Won-Don
    • Proceedings of the Korea Information Processing Society Conference
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    • 2003.05a
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    • pp.317-320
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    • 2003
  • 본 논문에서는 각 도시마다 가중치가 있는 City domain을 tour하기 위한 문제를 해결하기 위해 Simulated Annealing Algorithm을 확장한 알고리즘을 제시하였고 Capacitated vehicle routing problem을 변형한 Augmented multiple salesman traveling problem을 정의하고 이를 해결하기 위한 에너지 함수와 알고리즘을 제시하였다.

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