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Displaying similar documents to “Generalized public transportation scheduling using max-plus algebra”

Extending the MAX Algorithm for Maximum Independent Set

Ngoc C. Lê, Christoph Brause, Ingo Schiermeyer (2015)

Discussiones Mathematicae Graph Theory

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The maximum independent set problem is an NP-hard problem. In this paper, we consider Algorithm MAX, which is a polynomial time algorithm for finding a maximal independent set in a graph G. We present a set of forbidden induced subgraphs such that Algorithm MAX always results in finding a maximum independent set of G. We also describe two modifications of Algorithm MAX and sets of forbidden induced subgraphs for the new algorithms.

An improved ant algorithm for Multi-mode Resource Constrained Project Scheduling Problem

Peng Wuliang, Huang Min, Hao Yongping (2014)

RAIRO - Operations Research - Recherche Opérationnelle

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Many real-world scheduling problems can be modeled as Multi-mode Resource Constrained Project Scheduling Problems (MRCPSP). However, the MRCPSP is a strong NP-hard problem and very difficult to be solved. The purpose of this research is to investigate a more efficient alternative based on ant algorithm to solve MRCPSP. To enhance the generality along with efficiency of the algorithm, the rule pool is designed to manage numerous priority rules for MRCPSP. Each ant is provided with an...

A modified algorithm for the strict feasibility problem

D. Benterki, B. Merikhi (2010)

RAIRO - Operations Research

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In this note, we present a slight modification of an algorithm for the strict feasibility problem. This modification reduces the number of iterations.

Multi-agent network flows that solve linear complementarity problems

Shu Liang, Xianlin Zeng (2018)

Kybernetika

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In this paper, we consider linear complementarity problems with positive definite matrices through a multi-agent network. We propose a distributed continuous-time algorithm and show its correctness and convergence. Moreover, with the help of Kalman-Yakubovich-Popov lemma and Lyapunov function, we prove its asymptotic convergence. We also present an alternative distributed algorithm in terms of an ordinary differential equation. Finally, we illustrate the effectiveness of our method by...