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.
Highlights
Mathematical modeling along with a two-phase algebraic approach is used to reexamine a multi-customer finite production rate (FPR) model with quality assurance and discontinuous deliveries (Chiu et al 2014)
A few papers extended the same or similar approach to deal with various specific production lot sizing and vendor–buyer integrated problems (Lin et al 2008; Chen et al 2012). This study extends such an algebraic approach to the problem of Chiu et al (2014) and demonstrates that the optimal production-shipment policy can be obtained without using the differential calculus
Problem statement and formulations Reconsider the problem of a multi-customer FPR model with quality assurance and discontinuous deliveries as studied in Chiu et al (2014) as follows: A product has a total demand λ items per year from m different customers
Summary
Mathematical modeling along with a two-phase algebraic approach is used to reexamine a multi-customer FPR model with quality assurance and discontinuous deliveries (Chiu et al 2014). Background Mathematical modeling along with a two-phase algebraic approach is used to reexamine a multi-customer FPR model with quality assurance and discontinuous deliveries (Chiu et al 2014). Lu (1995) examined a one-vendor multi-buyer integrated inventory model with the objective of minimizing a vendor’s total annual cost.
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