Volume 52, Number 2, April–June 2018
|Page(s)||415 - 427|
|Published online||22 June 2018|
Algebraic modelling of a two level supply chain with defective items
Department of Information Systems, King Faisal University,
P.O. Box 78,
31982, Saudi Arabia.
2 College of Business Administration, Abu Dhabi University, P.O. Box 59911, Abu Dhabi, United Arab Emirates.
3 School of Engineering and Sciences, Tecnológico de Monterrey, E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, Nuevo León, México
* Corresponding author: e-mail: firstname.lastname@example.org
Accepted: 7 September 2017
M. Khan and M.Y. Jaber, Optimal inventory cycle in a two-stage supply chain incorporating imperfect items from suppliers. Int. J. Oper. Res. 10 (2011) 442–457, have addressed a two level supply chain of defective items. They compared three coordination mechanisms, i.e. cycle time; K–multiplier cycle time; and 2K–multiplier cycle time. This paper proposes a simpler algebraic solution for the K–multiplier cycle time mechanism without the use of differential calculus. The two level supply chain with defective items is illustrated with a numerical example. A sensitivity analysis is also provided.
Mathematics Subject Classification: 90B05
Key words: Supply chain management / integer multipliers / without derivatives / algebraic method
© EDP Sciences, ROADEF, SMAI 2018
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