• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 1993년도 춘계공동학술대회 발표논문 및 초록집; 계명대학교, 대구; 30 Apr.-1 May 1993
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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).

• 한국경영과학회지
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• 제35권1호
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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.

• 대한교통학회지
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• 제24권6호
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• pp.103-117
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• 2006

본 연구에서는 개별 관광객을 Simulation하는 모형을 개발하고. 이를 이용해 첨단 관광정보시스템 하에서의 여행객의 관광지 선택행태 변화와 관광 수요 패턴의 변화를 분석하였다. 관광객의 여행계획 목적함수는 기대효용 최대화로 가정하였고, 교통망에서 순차적 방문 계획 해를 얻기 위해 Traveling Salesman Problem(TSP)을 이용하였다. 단 관광객들의 경우 하루 동안 주어진 여행시간과 여행예산의 제약이 존재하기 때문에, 제약이 존재하는 TSP. 즉 Prize-Collecting TSP를 이용하였으며, 하루 이상 관광지에 체류하는 관광객들의 여행계획 문제를 풀기위해 Prize-Collecting Multiple-Day TTaveling Salesman Problem(PC MD TSP)을 개발하였다 관광 정보의 형태는 사전정보, Oft-line 정보. On-line 정보로 구분하여, 전체 관광객들을 이용 가능한 정보 형태에 따라 3가지 계층으로 구분하였으며. Simulation을 통해 각 관광지의 관광객을 계산하였다. 개발된 모형을 통해 Ubiquitous 환경에서의 On-line 정보가 관광객들뿐만 아니라 관광지에도 수요증가에 따른 운영 이익 증대를 가져다 줄 수 있음을 확인하였다.

• 대한산업공학회지
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• 제36권2호
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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.

• 산업공학
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• 제24권1호
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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.

• 한국군사과학기술학회지
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• 제13권3호
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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.

• 한국컴퓨터정보학회논문지
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• 제27권2호
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• pp.1-8
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• 2022

본 논문에서는 개미 집단 시스템(ant colony system)을 통한 순회 외판원 문제(traveling salesman problem)를 효과적으로 해결하기 위해 GPU 기반 병렬 알고리즘을 설계 구현하였다. TSP에서 동시에 수백 또는 수천의 탐색 여정(tour)을 생성하는 반복 과정을 GPU의 작업 병렬성을 활용하여 처리성능을 개선하고, 페로몬 자취 데이터의 업데이트 과정은 32x32의 쓰레드 블럭을 사용하여 데이터 병렬성을 적극 활용하였다. 특히 다중 쓰레드의 메모리 동시 접근을 통해 연속 메모리공간의 병합 접근 효과와 공유 메모리의 동시 접근을 지원하였다. 본 실험은 TSPLIB에서 제공되는 127개부터 1002개에 이르는 도시 데이터를 사용하였고, Intel Core i9-9900K CPU와 Nvidia Titan RTX 시스템을 사용하여 순차 알고리즘과 병렬 알고리즘의 성능을 비교하였다. GPU 병렬화에 의한 성능 향상은 약 10.13~11.37배의 성능 개선 효과를 보였다.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2013년도 춘계학술대회 논문집
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• pp.447-448
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• 2013

• 한국군사과학기술학회지
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• 제14권3호
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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).

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2003년도 춘계학술발표논문집 (상)
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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.