Abstract
In this paper, we will introduce a heuristic to solve a single leg revenue management problem with postponement, arising from the sea cargo industry. Based on previous work, it was shown that the optimal policy to allocate the capacity of the ship is a threshold policy. Based on the sample average approximation method, we formulate a mixed integer linear programming problem to determine the stationary threshold policy. A heuristic (known as the perturbation approach) is proposed to solve the problem. From the numerical result, it is shown that our approach performs better than some of the methods used to solve the mixed-integer programming problem.
Similar content being viewed by others
References
Arapostathis A, Borkar VS, Fernandez-Gaucherand E, Ghosh MK, Marcus SI (1993) Discrete-time controlled Markov processes with average cost criterion: a survey. SIAM J Control Optim 31:282–344
Belobaba PP (1987) Air Travel Demand And Airline Seat Inventory Manage-ment, Ph.D. thesis, Flight Transportation Laboratory, Massachusetts Institute of Technology, Cambridge, MA
Eshelman LJ, Schaffer JD (1993) Real-coded genetic algorithms and interval-schemata. In: Whitley LD (ed) Foundation of genetic algorithms 2. The Second Workshop on Foundations of Genetic Algorithms, July 26–29. Morgan Kaufmann, San Mateo, CA., pp 187–202
Federal Maritime Commission (2001) The impact of the Ocean Shipping Reform Act of 1998 (Publication No. NR 01-09). Washington, DC
Herrera F, Lozano M, Verdegay JL (1998) Tackling real-coded genetic algorithms: operators and tools for behavioural analysis. Artif Intell Rev 12:265–319
Kleywegt AJ (2002) New approaches for contract planning and booking control for container carriers. Presented in The Logistics Institute Asia-Pacific First TLI-APNTNU Workshop on Multimodal Logistics, Singapore
Lee LH, Chew EP, Sim MS (2005) A revenue management model for the Sea Cargo. ISE Working Paper
Michalewicz Z (1992) Genetic algorithms+data structures=evolution programs. Springer, Berlin Heidelberg New York
Pak K, Dekker R (2004) Cargo revenue management: bid-prices for a 0-1 multi Knapsack problem. Publication No. EI 2004-26, Econometric Institute
Shapiro A (2001) Monte Carlo simulation approach to stochastic programming. Presented in Proceedings of the 2001 Winter Simulation Conference, Virginia, USA
Transportation Services Branch, United States Department of Agriculture (2001) Agricultural ocean transportation trends. Retrieved from http://www.ams.usda.gov/tmd/AgOTT/
World Shipping Council (2000) International liner shipping regulation: its rationale and its benefits. Retrieved from http://www.worldshipping.org
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lee, L.H., Chew, E.P. & Sim, M.S. A heuristic to solve a sea cargo revenue management problem. OR Spectrum 29, 123–136 (2007). https://doi.org/10.1007/s00291-005-0021-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00291-005-0021-4