Flexible Jump Diffusion Process Models for Open Source Project with Application to the Optimal Maintenance Problem

Abstract

The operation of open source software (OSS) has a complex maintenance phase. This paper focuses on several irregular fluctuation in the operation performance of OSS. We apply a flexible jump diffusion process model to several noisy cases in the operation of OSS associated with version upgrade. In particular, we discuss a method of maintenance effort management based on the flexible jump diffusion process model considering the irregular fluctuation in version upgrade performance for OSS projects. Moreover, this paper proposes the optimal maintenance problems based on our flexible jump diffusion process models. Then, it will be useful for the OSS project managers to understand the effort status and the optimal maintenance times with version upgrade of OSS from the standpoint of OSS project management. Moreover, we analyze actual data to show numerical examples of our model and the proposed optimal maintenance problems considering the characteristics with version upgrade of OSS projects.