An Algebraic Decision Support Model for Inventory Coordination in the Generalized n-Stage Non-Serial Supply Chain with Fixed and Linear Backorders Costs

Symmetry

卷:12

Leopoldo Cárdenas-Barrón¹  Mohamed Seliaman²  Sayeed Rushd² 

[1] Department of Industrial and Systems Engineering, School of Engineering, Tecnológico de Monterrey E. Garza Sada 2501 Sur, Monterrey C.P. 64849, N.L., Mexico;

[2] Department of Information Systems, College of Computer Science and Information Technology, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia;

关键词: decision support;    supply chain model;    production inventory coordination;    integer multipliers;    information symmetry;    backorders costs;   

DOI  :  10.3390/sym12121998

来源: DOAJ

【 摘 要 】

This paper extends and generalizes former inventory models that apply algebraic methods to derive optimal supply chain inventory decisions. In particular this paper considers the problem of coordinating production-inventory decisions in an integrated n-stage supply chain system with linear and fixed backorder costs. This supply chain system assumes information symmetry which implies that all partners share their operational information. First, a mathematical model for the supply chain system total cost is formulated under the integer multipliers coordination mechanism. Then, a recursive algebraic algorithm to derive the optimal inventory replenishment decisions is developed. The applicability of the proposed algorithm is demonstrated using two different numerical examples. Results from the numerical examples indicate that adopting the integer multiplier mechanism will reduce the overall total system cost as compared to using the common cycle time mechanism.

【 授权许可】

Unknown