Solving multi-customer FPR model with quality assurance and discontinuous deliveries using a two-phase algebraic approach

Yuan-Shyi Peter Chiu; Chung-Li Chou; Huei-Hsin Chang; Singa Wang Chiu

doi:10.1186/s40064-016-2154-0

Solving multi-customer FPR model with quality assurance and discontinuous deliveries using a two-phase algebraic approach

Springerplus. 2016 Apr 21:5:493. doi: 10.1186/s40064-016-2154-0. eCollection 2016.

Authors

Yuan-Shyi Peter Chiu¹, Chung-Li Chou², Huei-Hsin Chang³, Singa Wang Chiu²

Affiliations

¹ Department of Industrial Engineering and Management, Chaoyang University of Technology, Taichung, 413 Taiwan.
² Department of Business Administration, Chaoyang University of Technology, Taichung, 413 Taiwan.
³ Department of Finance, Chaoyang University of Technology, Taichung, 413 Taiwan.

Abstract

A multi-customer finite production rate (FPR) model with quality assurance and discontinuous delivery policy was investigated in a recent paper (Chiu et al. in J Appl Res Technol 12(1):5-13, 2014) using differential calculus approach. This study employs mathematical modeling along with a two-phase algebraic method to resolve such a specific multi-customer FPR model. As a result, the optimal replenishment lot size and number of shipments can be derived without using the differential calculus. Such a straightforward method may assist practitioners who with insufficient knowledge of calculus in learning and managing the real multi-customer FPR systems more effectively.

Keywords: Finite production rate; Multi-customer; Multi-delivery; Optimization; Partial rework; Two-phase algebraic approach.