article · RePEc: Research Papers in Economics

Multidimensional Dynamic Programming Algorithm for -Level Batching with Hierarchical Clustering Structure

Seung-Kil Lim, June-Young Bang, Jae-Gon Kim

Cited by 0Abstract and details only

Abstract

This study focuses on the -level batching problem with a hierarchical clustering structure. Clustering is the task of grouping a set of item types in such a way that item types in the same cluster are more similar (in some sense or another) to each other than to those in other clusters. In hierarchical clustering structure, more and more different item types are clustered together as the level of the hierarchy increases. -level batching is the process by which items with different types are grouped into several batches passed from level 1 to level sequentially for given hierarchical clustering structure such that batches in each level should satisfy the maximum and minimum batch size requirements of the level. We consider two types of processing costs of the batches: unit processing cost and batch processing cost. We formulate the -level batching problem with a hierarchical clustering structure as a nonlinear integer programming model with the objective of minimizing the total processing cost. To solve the problem optimally, we propose a multidimensional dynamic programming algorithm with an example.

Cite this paper

APA 7

Lim, S.-K., Bang, J.-Y., & Kim, J.-G. (n.d.). Multidimensional Dynamic Programming Algorithm for -Level Batching with Hierarchical Clustering Structure. RePEc: Research Papers in Economics.

MLA 9

Lim, Seung-Kil, et al. “Multidimensional Dynamic Programming Algorithm for -Level Batching with Hierarchical Clustering Structure.” RePEc: Research Papers in Economics.

Chicago

Lim, Seung-Kil, June-Young Bang, and Jae-Gon Kim. n.d.. “Multidimensional Dynamic Programming Algorithm for -Level Batching with Hierarchical Clustering Structure.” RePEc: Research Papers in Economics.

Harvard

Lim, S.-K., Bang, J.-Y. and Kim, J.-G. (n.d.) ‘Multidimensional Dynamic Programming Algorithm for -Level Batching with Hierarchical Clustering Structure’, RePEc: Research Papers in Economics.

BibTeX

@article{limmultidimensional,
  title = {{Multidimensional Dynamic Programming Algorithm for -Level Batching with Hierarchical Clustering Structure}},
  author = {Lim, Seung-Kil and Bang, June-Young and Kim, Jae-Gon},
  journal = {RePEc: Research Papers in Economics}
}

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