Title: A study of optimal assignment with different workers' capacities for each process in a reset limited-cycle problem with multiple periods

Authors: Jinyu Zhang; Hisashi Yamamoto; Jing Sun; Yasuhiro Kajihara

Addresses: Graduate School of Systems Design, Tokyo Metropolitan University, 6-6 Asahigaoka, Hino Tokyo, 191-0065, Japan ' Graduate School of Systems Design, Tokyo Metropolitan University, 6-6 Asahigaoka, Hino Tokyo, 191-0065, Japan ' Graduate School of Social Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, Aichi, 466-8555, Japan ' Graduate School of Systems Design, Tokyo Metropolitan University, 6-6 Asahigaoka, Hino Tokyo, 191-0065, Japan

Abstract: In production activities, the result and efficiency of a certain period of a production cycle are influenced not only by the risks that exist in the current period, but also by the risks that existed in the previous ones. So we constructed a model called a reset limited-cycled model with multiple periods to assume evaluation of the impact risk. Because of the variability of the capacities of workers, the processing time is different among workers. In this paper, we focus on the fact that workers have different processing capacities for different processes under the reset limited-cycled model with multiple periods. Based on that assumption, we propose a new formulation of the expected risk (cost). Furthermore, some theorems of the rule of the optimal worker assignment that minimises the total risk, when there are two types of workers' capacities for each process, are proposed.

Keywords: limited-cycle problem; multiple periods; processing capacities; optimal assignment; expected cost.

DOI: 10.1504/AJMSA.2021.120437

Asian Journal of Management Science and Applications, 2021 Vol.6 No.2, pp.163 - 188

Accepted: 26 Oct 2021
Published online: 19 Jan 2022 *

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