A Mass-flow based MILP Formulation for the Inventory Routing with Explicit Energy Consumption

Yun He, Cyril Briand, Nicolas Jozefowiez

2016

Abstract

In this paper, we present a new mass-flow based Mixed Integer Linear Programming (MILP) formulation for the Inventory Routing Problem (IRP) with explicit energy consumption. The problem is based on a multi-period single-vehicle IRP with one depot and several customers. Instead of minimizing the distance or inventory cost, the problem takes energy minimization as an objective. In this formulation, flow variables describing the transported mass serve as a link between the inventory control and the energy estimation. Based on physical laws of motion, a new energy estimation model is proposed using parameters like vehicle speed, average acceleration rate and number of stops. The solution process contains two phases with different objectives: one with inventory and transportation cost minimization as in traditional IRP, the other with energy minimization. Using benchmark instances for inventory routing with parameters for energy estimation, experiments have been conducted. Finally, the results of these two solution phases are compared to analyse the influence of energy consumption to the inventory routing systems.

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Paper Citation


in Harvard Style

He Y., Briand C. and Jozefowiez N. (2016). A Mass-flow based MILP Formulation for the Inventory Routing with Explicit Energy Consumption . In Proceedings of 5th the International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-758-171-7, pages 242-251. DOI: 10.5220/0005698802420251


in Bibtex Style

@conference{icores16,
author={Yun He and Cyril Briand and Nicolas Jozefowiez},
title={A Mass-flow based MILP Formulation for the Inventory Routing with Explicit Energy Consumption},
booktitle={Proceedings of 5th the International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2016},
pages={242-251},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005698802420251},
isbn={978-989-758-171-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of 5th the International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - A Mass-flow based MILP Formulation for the Inventory Routing with Explicit Energy Consumption
SN - 978-989-758-171-7
AU - He Y.
AU - Briand C.
AU - Jozefowiez N.
PY - 2016
SP - 242
EP - 251
DO - 10.5220/0005698802420251