A scenario-based dynamic programming model for multi-period liner ship fleet planning

This paper proposes a more realistic multi-period liner ship fleet planning problem for a liner container shipping company than has been studied in previous literature. The proposed problem is formulated as a scenario-based dynamic programming model consisting of a number of integer linear programming formulations for each single planning period, and the model can be solved efficiently by a shortest path algorithm on an acyclic network. A numerical example is carried out to illustrate the applicability of the proposed model and solution method. The numerical results show that chartering in ships may not always be a better policy for a long-term planning horizon though it is much cheaper than buying ships in the short-term. Purchasing ships seems to be a more profitable investment in the long run.

[1]  J. Laderman,et al.  Vessel allocation by linear programming , 1966 .

[2]  Nikiforos Papadakis,et al.  Fleet deployment optimization models.Part 2 , 1987 .

[3]  Xie Xinlian,et al.  A dynamic model and algorithm for fleet planning , 1992 .

[4]  Anastassions N. Perakis,et al.  Fleet deployment optimization models. Part 1 , 1987 .

[5]  Anastassios N. Perakis,et al.  Fleet deployment optimization for liner shipping Part 2. Implementation and results , 1991 .

[6]  Krishan Rana,et al.  Routing Container Ships Using Lagrangean Relaxation and Decomposition , 1991, Transp. Sci..

[7]  Anastassios N. Perakis.  A SECOND LOOK AT FLEET DEPLOYMENT , 1985 .

[8]  Ravindra K. Ahuja,et al.  Network Flows: Theory, Algorithms, and Applications , 1993 .

[9]  Qiang Meng,et al.  Liner ship fleet deployment with container transshipment operations , 2012 .

[10]  Qiang Meng,et al.  Short-term liner ship fleet planning with container transshipment and uncertain container shipment demand , 2012, Eur. J. Oper. Res..

[11]  Krishan Rana,et al.  A Model and Solution Algorithm for Optimal Routing of a Time-Chartered Containership , 1988, Transp. Sci..

[12]  Qiang Meng,et al.  Liner ship route schedule design with sea contingency time and port time uncertainty , 2012 .

[13]  T. A. J. Nicholson,et al.  Dynamic Programming Applied to Ship Fleet Management , 1971 .

[14]  N. Papadakis,et al.  A nonlinear approach to the multiorigin, multidestination fleet deployment problem , 1989 .

[15]  D. R. Fulkerson,et al.  MINIMIZING THE NUMBER OF CARRIERS TO MEET A FIXED SCHEDULE , 1954 .

[16]  Christos D. Tarantilis,et al.  Dispatching of small containers via coastal freight liners: The case of the Aegean Sea , 2004, Eur. J. Oper. Res..

[17]  Qiang Meng,et al.  Liner ship fleet deployment with week-dependent container shipment demand , 2012, Eur. J. Oper. Res..

[18]  Akio Imai,et al.  The container shipping network design problem with empty container repositioning , 2007 .

[19]  Qiang Meng,et al.  Sailing speed optimization for container ships in a liner shipping network , 2012 .

[20]  B. J. Powell,et al.  Fleet deployment optimization for liner shipping: an integer programming model , 1997 .

[21]  Harry Benford,et al.  A simple approach to fleet deployment , 1981 .

[22]  Arnoldo C. Hax,et al.  Optimization of a Fleet of Large Tankers and Bulkers: A Linear Programming Approach , 1972 .

[23]  Anastassios N. Perakis,et al.  FLEET DEPLOYMENT OPTIMIZATION FOR LINER SHIPPING. , 1991 .

[24]  Eldon A. Gunn,et al.  Dispatching a fishing trawler fleet in the Canadian Atlantic groundfish industry , 1991 .

[25]  Dong-Ping Song,et al.  Cargo routing and empty container repositioning in multiple shipping service routes , 2012 .

[26]  Mark E. T. Horn,et al.  Fleet scheduling and dispatching for demand-responsive passenger services , 2002 .

[27]  Anastassios N. Perakis,et al.  Fleet deployment optimization for liner shipping Part 1. Background, problem formulation and solution approaches , 1991 .

[28]  Dušan Teodorović,et al.  A fuzzy approach to the vessel dispatching problem , 1994 .

[29]  Qiang Meng,et al.  A novel modeling approach for the fleet deployment problem within a short-term planning horizon , 2010 .

[30]  Kjetil Fagerholt,et al.  Optimal fleet design in a ship routing problem , 1999 .

[31]  Anastassios N. Perakis,et al.  OPTIMAL LINER FLEET ROUTEING STRATEGIES. , 1996 .

[32]  Qiang Meng,et al.  Robust schedule design for liner shipping services , 2012 .

[33]  Dong-Ping Song,et al.  Container fleet sizing and empty repositioning in liner shipping systems , 2009 .