Title: Optimal study number of stochastic e-learning system

Authors: Syouji Nakamura; Keiko Nakayama; Toshio Nakagawa

Addresses: Department of Life Management, Kinjo Gakuin University, 1723 Omori 2-chome, Moriyama-ku, Nagoya, 463-8521, Japan ' Deapartment of Economics, Chukyo University, 101-2 Yagoto-Honmachi, Showa-ku, Nagoya, 466-8666, Japan ' Department of Business Administration, Aichi Institute of Technology, 11247 Yachigusa, Yakusa-cho, Toyota, 470-0392, Japan

Abstract: This paper forms a stochastic model using access logging data of contents in the e-learning system. If a lecturer could not provide a suitable study support to the learner in the e-learning system, then the learner might drop out of studying the system. However, if a lecturer could provide suitable supports to the learner at planned times, the learner could attain the goal. From such viewpoints, two stochastic problems of a study support system are proposed, and their optimal policies are discussed theoretically and numerically, when the number of acquirement items has Weibull and normal distributions.

Keywords: stochastic modelling; e-learning; electronic learning; online learning; study support; optimal number; expected cost; Weibull distribution; normal distribution.

DOI: 10.1504/IJKWI.2013.052726

International Journal of Knowledge and Web Intelligence, 2013 Vol.4 No.1, pp.70 - 78

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 18 Mar 2013 *

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