선대배치문제를 위한 분포적 강건 최적화 모형 연구
A Study on Distributed Robust Optimization Model for Fleet Deployment Problem
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
The fleet deployment problem is a strategic planning problem in which shipping liner allocates its owned and chartered vessels to routes it service to meet uncertain demand for shipping services. According to the fleet deployment plan, the capacity and cost of services provided on each route are determined for several months, making it crucial for shipping liner to determine the optimal deployment to meet demand and reduce costs during this period. In this problem, transport demand on each route being a key input parameter. However, knowing the exact transport demand at the planning stage is impossible, and a deterministic model for this problem can incur additional costs if the actual demand differs from the planned stage. Therefore, robust decision-making that accounts for such demand uncertainty is necessary. Therefore, many studies have been conducted in this regard, and they have proposed models that consider the distribution of the maximum demand between two consecutive ports on each route. In this study, we propose a distributionally robust optimization (DRO) model that considers the demand between all ports on each route and an approximate model to find the optimal solution. Through experiments, we compare the solutions derived from the proposed model with the optimal solutions proposed by the deterministic model and previous studies, demonstrating the necessity of considering all transportation demands.
Abstract
The fleet deployment problem is a strategic planning problem in which shipping liner allocates its owned and chartered vessels to routes it service to meet uncertain demand for shipping services. According to the fleet deployment plan, the capacity and cost of services provided on each route are determined for several months, making it crucial for shipping liner to determine the optimal deployment to meet demand and reduce costs during this period. In this problem, transport demand on each route being a key input parameter. However, knowing the exact transport demand at the planning stage is impossible, and a deterministic model for this problem can incur additional costs if the actual demand differs from the planned stage. Therefore, robust decision-making that accounts for such demand uncertainty is necessary. Therefore, many studies have been conducted in this regard, and they have proposed models that consider the distribution of the maximum demand between two consecutive ports on each route. In this study, we propose a distributionally robust optimization (DRO) model that considers the demand between all ports on each route and an approximate model to find the optimal solution. Through experiments, we compare the solutions derived from the proposed model with the optimal solutions proposed by the deterministic model and previous studies, demonstrating the necessity of considering all transportation demands.
참고문헌 (22)
- 박병인, "정수계획법을 이용한 선박운항일정계획 모형", 로지스틱스연구, 9(1), pp.27~46 (2001)
- 이아영, "글로벌 가치사슬 변경에 따른신남방지역 허브항 선정에 관한 연구 : 컨테이너 해상운송경로를 중심으로", 로지스틱스연구, 29(3), pp.31~42 (2021)
- 이아영, "탄소중립정책이 정기선사들에미치는 영향에 관한 연구", 로지스틱스연구, 31(2), pp.73~86 (2023)
- 정기호, "컨테이너 정기선 선사의 전략적 제휴를 위한 수리적 모형 연구", 경영과 정보연구, 33(5), pp.85~95 (2014)
- Bertsimas, D., "Robust and adaptive optimization" (2022)
- Jaramillo, D., "Fleet deploy-ment optimization for liner shipping part 2 : Implementation and results", Maritime Policy &Management, 24(3), pp.183~192 (1991)
- Lin, F., "Distribution- ally robust optimization: A review on theory and applications", Numerical Algebra, Control, and Optimization, 12(1), pp.159~212 (2022)
- Liu, J., "Carrier alliance incentive analysis and coordination in a maritime transport chain based on service competition", Transportation Research Part E : Logistics and Transportation Review, 128, pp.333~355 (2019)
- Liu, X., "Tactical planning models for managing container flow and ship deployment", Maritime Policy & Management, 38(5), pp.487~508 (2011)
- Meng, Q., "Short-term liner ship fleet planning with container transshipment and uncertain container shipment demand", European journal of Operational Research, 223(1), pp.96~105 (2012)
- Meng, Q., "Multi-period liner ship fleet planning with dependent uncertain container shipment demand", Maritime Policy &Management, 42(1), pp.43~67 (2015)
- Ng, M., "Distribution-free vessel deployment for liner shipping", European Journal of Operational Research, 238(3), pp.858~862 (2014)
- Ng, M., "Container vessel fleet deployment for liner shipping with stochastic depend-encies in shipping demand", Transportation Research Part B : Methodological, 74, pp.79~87 (2015)
- Ng, M., "Fleet deployment in liner shipping with incomplete demand information", Transportation Research Part E, 116, pp.184~189 (2018)
- Perakis, A., "Fleet deploy-ment optimization for liner shipping part 1 : Background, problem formulation and solution approaches", Maritime Policy & Management, 24(3), pp.183~192 (1991)
- Sirimanne, S. N., "Review of maritime transport 2022", United Nations conference on trade and development (2022)
- Song, D., "Long-haul liner service route design with ship deployment and empty container repositioning", Transportation Research Part B : Methodological, 55, pp.188~211 (2013)
- Wang, S., "Liner ship fleet deployment with container transhipment operations", Transportation Research Part E, 48(2), pp.470~484 (2012)
- Wang, S., "Minimax regret model for liner shipping fleet deployment with uncertain demand", Transportation Research Record : Journal of Transportation Research Board, 2549(1), pp.45~53 (2016)
- Wang, T., "Risk management in liner ship fleet deployment : A joint chance constrained programming model", Transportation Research Part B : Methodological, 50, pp.1~12 (2013)
- Zhang, E., "Approximation approach for robust vessel fleet deployment problem with ambiguous demands", Journal of Combinatorial Optimization, pp.1~15 (2022)
- Zhao, Y., "Vessel deployment with limited information : Distributionally robust chance constrained models", Transportation Research Part B : Methodological, 161, pp.197~121 (2022)
