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Authors: Agathe Métaireau 1 ; 2 ; Rabin Sahu 2 ; Simon Delecourt 2 ; Alexandre Gerussi 2 and Manuel Davy 2

Affiliations: 1 Univ. Lille, CNRS, Centrale Lille, UMR 9189 - CRIStAL, France ; 2 Vekia, 143 rue d’Athènes, Lille, France

Keyword(s): Joint Replenishment, Multi-period Planning, Inventory Control, Integer Linear Programming.

Abstract: This paper aims at developing a multiperiodic joint replenishment optimization method to tackle all-unit discounts. In many industrial contexts, there exist multi-item constraints that can’t be treated by single-item optimization. For example, suppliers can charge a fixed ordering cost or offer a discount above a given ordered quantity. To tackle such constraints, we set in place a model based on ordering blocks. This modeling enables to reduce the search-space by predetermining a given set of possible order quantities. The model is then solved using an Integer Linear Program that outputs the ordering plan for a given time horizon. This Integer Linear Program searches for the ordering block combination that gives the minimal cost. The cost function includes single-item costs like purchase or inventory costs as well as multi-item costs. The methodology was tested on twenty generated instances and compared with a single-period single-item replenishment engine. We show that our multiper iodic joint replenishment approach allows a reduction of the costs and an increase in the service level. (More)

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Paper citation in several formats:
Métaireau, A.; Sahu, R.; Delecourt, S.; Gerussi, A. and Davy, M. (2022). Multi-periodic Joint Replenishment Planning Method for Various All-unit Discounts. In Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES; ISBN 978-989-758-548-7; ISSN 2184-4372, SciTePress, pages 86-93. DOI: 10.5220/0010986800003117

@conference{icores22,
author={Agathe Métaireau. and Rabin Sahu. and Simon Delecourt. and Alexandre Gerussi. and Manuel Davy.},
title={Multi-periodic Joint Replenishment Planning Method for Various All-unit Discounts},
booktitle={Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES},
year={2022},
pages={86-93},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010986800003117},
isbn={978-989-758-548-7},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES
TI - Multi-periodic Joint Replenishment Planning Method for Various All-unit Discounts
SN - 978-989-758-548-7
IS - 2184-4372
AU - Métaireau, A.
AU - Sahu, R.
AU - Delecourt, S.
AU - Gerussi, A.
AU - Davy, M.
PY - 2022
SP - 86
EP - 93
DO - 10.5220/0010986800003117
PB - SciTePress

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