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Complexity and Algorithm for Reallocation Problem
Hiroyoshi MIWA Hiro ITO
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E79A
No.4
pp.461468 Publication Date: 1996/04/25
Online ISSN:
DOI:
Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications) Category: Keyword: reallocation, graph, linear time, NPcomplete,
Full Text: PDF(724.1KB)>>
Summary:
We define the Reallocation Problem to determine whether we can move products from their current storehouses to target storehouses in a number of moves which is less than or equal to a given number. This problem is defined simply and can be applied to many practical problems. We give necessary and sufficient conditions for feasibility for Reallocation Problems under various conditions, and propose liner time algorithms, when the volume of the products is restricted to 1. Moreover, we show that the Reallocation Problem is NPcomplete in the strong sense, when the volume of the products is not restricted.

