An Exact Splitting Algorithm for a 4-Class-Based Dedicated Linear Storage Problem

  • Yang, Moon-Hee (Department of Industrial Eng., Dankook University) ;
  • Choi, Chang-Hwan (Department of International Trade, Dankook University) ;
  • Kim, Hee (Department of Industrial Eng., Dankook University)
  • Received : 2010.10.15
  • Accepted : 2011.11.02
  • Published : 2011.11.30

Abstract

In this paper, we address a layout design problem for determining an optimal 4-class-based dedicated linear storage layout in a class of unit load storage systems. Assuming that space requirement for a class is the sum of the maximum inventory levels of products assigned to the class, and that one-way travel time is a linear function of storage index, we formulate a 4-class-based dedicated linear storage problem PTL[4] and provide an exact splitting algorithm with $O(n{\lceil}logn{\rceil})$. Our algorithms could be applied to more than a 4-class-based dedicated storage layout problem with slight modification in order to reduce computational execution time.

Keywords

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