Browse > Article

A Study on the Optimal Routing Problem for a Transfer Crane  

Kim, Hu-Gan (경성대학교 상경대학 e-비즈니스 )
Kim, Chul-Han (경성대학교 상경대학 e-비즈니스 )
Publication Information
Abstract
To load a container in a yard block onto a ship, a Transfer Crane (TC) moves to a target yard bay, then its hoist picks up a selected container and loads it onto a waiting Yard Truck (YT). An optimal routing problem of Transfer Crane is a decision problem which determines a given TC's the visiting sequence of yard-bays and the number of containers to transfer from each yard-bay. The objective is to minimize the travel time of the TC between yard-bays and setup time for the TC in a visiting yard. In this paper, we shows that the problem is NP-complete, and suggests a new formulation for it. Using the new formulation for the problem, we investigate some characteristics of solutions, a lower and upper bounds for it. Moreover, our lower and upper bound is very efficient to applying some instances suggested in a previous work.
Keywords
NP-complete; Network Routing Problem; Column Generation Technique;
Citations & Related Records
연도 인용수 순위
  • Reference
1 I. Adler, A. J., Hoffman, R. Shamir, "Monge and feasibility sequences in general flow problems," Discrete Applied Mathematics, Vol.44(1993), pp.21-38   DOI   ScienceOn
2 K.H. Kim, J.S., Kang, and K.R. Ryu, "A beam search algorithm for the load sequencing of outbound containers in port container terminals," OR spectrum:Quantitative Approaches in Management, Vol.26, No.1(2004), pp.93-116   DOI   ScienceOn
3 K.H., Kim and K.Y. Kim, "An optimal routing algorithm for a transfer crane in port container terminals," Transportation Science, Vol.33, No.1(1999), pp.17-33   DOI   ScienceOn
4 K.Y., Kim and K.H. Kim, "Heuristic algorithms for routing yard-side equipment for minimizing loading times in container terminals," Naval research logistics, Vol.50 No.5(2003), pp.498-514   DOI   ScienceOn
5 R.I., Peterkofsky and C.F. Daganzo, "A branch and bound solution method for the crane scheduling problem," Transportation Research B, Vol.24(1990), pp.159-172   DOI   ScienceOn
6 http://groups.yahoo.com/group/lp_solve/
7 C.F., Daganzo, "The crane scheduling problem," Transportation Research B, Vol.23 (1989), pp.159-175   DOI   ScienceOn
8 W.C., Ng and K.L. Mak, "Yard crane scheduling in port container terminals," Applied Mathematical Modelling, Vol.29 (2005), pp.263-276   DOI   ScienceOn
9 T., Cezik and O. Gunluk, "Reformulating linear programs with transportation constraints- With applications to workforce scheduling," Naval Research Logistics, Vol.51, No.2 (2003), pp.275-296   DOI   ScienceOn
10 M., Bazaraa and J. Jarvis, Linear Programming and Network, John Wiley and Sons, (1992), pp.574-585