Proposing a lower bound for a nonlinear scheduling problem in supply chain

Mohamad Ali Beheshtinia; Amir Ghasemi

doi:10.22075/IJNAA.2017.1616.1422

Proposing a lower bound for a nonlinear scheduling problem in supply chain

Mohamad Ali Beheshtinia, Amir Ghasemi

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Abstract

This paper proposes a nonlinear programming model for a scheduling problem in the supply chain. Due to the nonlinear structure of the developed model and its NP-hard structure, a lower bound is developed. Four lemmas and a theorem are presented and proved to determine the lower bound. The proposed problem is inspired from a three stage supply chain commonly used in various industries.

Original language	English
Pages (from-to)	1073-1085
Journal	International Journal of Nonlinear Analysis and Applications
Volume	12
Issue number	1
DOIs	https://doi.org/10.22075/IJNAA.2017.1616.1422
Publication status	Published - Feb 2021
Externally published	Yes

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IJNAA_Volume 12_Issue 1_Pages 1073-1085Final published version, 331 KBLicence: CC BY

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title = "Proposing a lower bound for a nonlinear scheduling problem in supply chain",

abstract = "This paper proposes a nonlinear programming model for a scheduling problem in the supply chain. Due to the nonlinear structure of the developed model and its NP-hard structure, a lower bound is developed. Four lemmas and a theorem are presented and proved to determine the lower bound. The proposed problem is inspired from a three stage supply chain commonly used in various industries.",

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AB - This paper proposes a nonlinear programming model for a scheduling problem in the supply chain. Due to the nonlinear structure of the developed model and its NP-hard structure, a lower bound is developed. Four lemmas and a theorem are presented and proved to determine the lower bound. The proposed problem is inspired from a three stage supply chain commonly used in various industries.

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KW - lower bound

KW - nonlinear programming

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Proposing a lower bound for a nonlinear scheduling problem in supply chain

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