Joint Replenishment Problem with Carbon Emissions Constraint

Abstract

Inventory control models have been recently analyzed with environmental costs, objectives, and regulations. Nevertheless, the most of these studies investigate single-item inventory systems. In this study, we focus on the multi-item deterministic inventory system with environmental considerations. Particularly, we formulate the joint replenishment problem with a carbon emissions constraint, i.e., carbon cap regulation. The resulting formulation corresponds to a mixed-integer non-linear programming model. Due to the complexity of the resulting formulation, we focus on developing a heuristic solution method. Specifically, we propose a genetic algorithm that utilizes the properties of the joint replenishment problem with carbon cap constraint in its chromosome representation, mutation, and fitness evaluation steps. A set of numerical studies are conducted to analyze the efficiency of the genetic algorithm and the effects of the carbon cap regulation on different cost and emissions components.

Department(s)

Engineering Management and Systems Engineering

Keywords and Phrases

Carbon emissions; Inventory control; Joint replenishment

International Standard Book Number (ISBN)

978-098376243-0

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 The Institute of Industrial Engineers, All rights reserved.

Publication Date

01 Jan 2014

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