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차량과 드론을 혼용한 최적 라우팅을 위한 휴리스틱

A Heuristic for Dual Mode Routing with Vehicle and Drone

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주제분류컴퓨터학

초록

In this paper we consider the problem of finding the triplet      , where  ⊆  ,  is a sequence of nodes in  and    ╲ → for a given complete graph     . In particular, there exist two costs,    and    for    ε  , and the cost of triplet      is defined as                  ε  ╲      . This problem is motivated by the integrated routing of the vehicle and drone for urban delivery services. Since a well-known NP-complete TSP (Traveling Salesman Problem) is a special case of our problem, we cannot expect to have any polynomial-time algorithm unless P=NP. Furthermore, for practical purposes, we may not rely on time-exhaustive enumeration method such as branch-and-bound and branch-and-cut. This paper suggests the simple heuristic which is motivated by the MST (minimum spanning tree)-based approximation algorithm and neighborhood search heuristic for TSP.

Abstract

In this paper we consider the problem of finding the triplet      , where  ⊆  ,  is a sequence of nodes in  and    ╲ → for a given complete graph     . In particular, there exist two costs,    and    for    ε  , and the cost of triplet      is defined as                  ε  ╲      . This problem is motivated by the integrated routing of the vehicle and drone for urban delivery services. Since a well-known NP-complete TSP (Traveling Salesman Problem) is a special case of our problem, we cannot expect to have any polynomial-time algorithm unless P=NP. Furthermore, for practical purposes, we may not rely on time-exhaustive enumeration method such as branch-and-bound and branch-and-cut. This paper suggests the simple heuristic which is motivated by the MST (minimum spanning tree)-based approximation algorithm and neighborhood search heuristic for TSP.

참고문헌 (13)

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  2. "Amazon and drones – here is why it will work"[URL]
  3. "Drone delivery: DHL ‘parcelcopter’ files to German isle"[URL]
  4. "Like Amazon, UPS Also Considering Using Unmanned Flying Vehicles"[URL]
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  6. G. Nemhauser, "Integer and Combinatorial Optimization" (1988), John Wiley & Sons
  7. V. V. Vazirani, "Approximation Algorithms" (2003), Springer-Verlag Berlin Heidelberg
  8. C. C. Murray, "The flying sidekick traveling salesman problem : Optimization of drone-assited parcel delivery", Transportation Research Part C : Emerging Technologies, 54, pp.86~109 (2015)
  9. Optimization approaches for the traveling salesman problem with drone, "N. Agatz", ERIM, ~, pp.No. ERS-2015-011-LIS (2015)
  10. "Amazon Prime Air Is Here, but Not in the Expected Form"[URL]
  11. G. A. Croes, "A method for solving traveling salesman problem", Operations Research, 6(6), pp.791~812 (1958)
  12. 황준하, "집합 커버링 문제를 위한 정수계획법 기반 지역 탐색", 한국컴퓨터정보학회논문지, 19(10), pp.13~21 (2014), 한국컴퓨터정보학회
  13. 이주영, "최소신장트리를 위한 크루스칼 알고리즘의 효율적인 구현", 한국컴퓨터정보학회논문지, 19(7), pp.131~140 (2014), 한국컴퓨터정보학회

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