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A Fast and Efficient algorithm for Many-To-Many Matching of Points with Demands in One Dimension by Rajabi-Alni, Fatemeh; Minaei-Bidgoli, Behrouz; Bagheri, Alireza is a scholarly article available to read on EtoBox.

What is A Fast and Efficient algorithm for Many-To-Many Matching of Points with Demands in One Dimension about?

Given two point sets S and T, the minimum-cost many-to-many matching with demands (MMD) problem is the problem of finding a minimum-cost many-to-many matching between S and T such that each point of S (respectively T) is matched to at least a given number of the points of T (respectively S). We propose the first O(n^2) time algorithm for computing a one dimensional MMD (OMMD) of minimum cost between S and T, where |S|+|T|=n. In an OMMD problem, the input point sets S and T lie on the real line and the cost of matching a point to another point equals the distance between the two points. We also study a generalized version of the MMD problem, the many-to-many matching with demands and capacities (MMDC) problem, that in which each point has a limited capacity in addition to a demand. We give the first O(n^2) time algorithm for the minimum-cost one dimensional MMDC (OMMDC) problem.

Author

Rajabi-Alni, Fatemeh; Minaei-Bidgoli, Behrouz; Bagheri, Alireza

Published

2019

Language

EN