Transactions of the Japan Society for Industrial and Applied Mathematics

Transactions of the Japan Society for Industrial and Applied Mathematics

Online ISSN : 2424-0982
ISSN-L : 0917-2246

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Volume 33, Issue 1

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On Asymptotic Solutions and Fundamental Diagrams of Some Fuzzy Cellular Automata with 4 Neighbors

Sawa Kanai, Daisuke Takahashi

2023 Volume 33 Issue 1 Pages 1-10
Published: 2023
Released on J-STAGE: March 25, 2023

DOIhttps://doi.org/10.11540/jsiamt.33.1_1

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Abstract. We fuzzificate two particle cellular automata of first order ontime and with 4 neighbors. The fuzzification is realized by giving continuous polynomial rules from the rule tables of flow of cellular automata. We derive asymptotic solutions at infinite time step for the fuzzy cellular automata. Moreover, fundamental diagrams for the systems are also obtained using their solutions.

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A Metaheuristic Algorithm for Solving an Electric Vehicle Routing Problem for Preventing Electric Shortage and Its Numerical Analysis

Kazuhiro Kobayashi, Koichiro Yamaguchi

2023 Volume 33 Issue 1 Pages 11-35
Published: 2023
Released on J-STAGE: March 25, 2023

DOIhttps://doi.org/10.11540/jsiamt.33.1_11

JOURNAL FREE ACCESS

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Abstract. An electric vehicle routing problem is to find an optimal route with minimal travel cost in which electrical shortages do not occur. In this paper, we present a localsearch-based metaheuristic algorithm for finding near-optimal solutions. Computational results are also presented in which actual operating conditions are simulated. These results show good performance of our algorithm.

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