title: Solving multi-customer FPR model with quality assurance and discontinuous deliveries using a two-phase algebraic approach.
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.
authors.affiliation: Department of Industrial Engineering and Management, Chaoyang University of Technology, Taichung, 413 Taiwan.
authors.forename: Yuan-Shyi Peter
authors.initials: YS
authors.lastname: Chiu
authors.affiliation: Department of Business Administration, Chaoyang University of Technology, Taichung, 413 Taiwan.
authors.forename: Chung-Li
authors.initials: CL
authors.lastname: Chou
authors.affiliation: Department of Finance, Chaoyang University of Technology, Taichung, 413 Taiwan.
authors.forename: Huei-Hsin
authors.initials: HH
authors.lastname: Chang
authors.affiliation: Department of Business Administration, Chaoyang University of Technology, Taichung, 413 Taiwan.
authors.forename: Singa Wang
authors.initials: SW
authors.lastname: Chiu
keywords: Finite production rate; Multi-customer; Multi-delivery; Optimization; Partial rework; Two-phase algebraic approach