# An Optimization Method for a Multi-day Distribution Problem with Shortage Supplies

### Netiphan Amphaiphan, Wasakorn Laesanklang

#### Abstract

We investigated a multi-day distribution problem while supplies are limited. This scenario can be found in post-natural disasters or economic crisis such as floods, earthquakes, palm oil shortage crisis, etc. The objective function of this problem is to minimize total traveling distance, unsatisfied cost, and variance of supply delivery proportion. In order to solve this multi-day problem optimally, it requires large computing memory and takes a long computational time. Therefore, we divided these large problems into multiple daily sub-problems and solved the sub-problems with the exact method. The sub-problems were solved sequentially for which the prior daily sub-problem is to be tackle first and the following daily sub-problems are defined based on the prior daily sub-problem solution. Changes were applied to update demands and to adjust delivery priority. There are three delivery priority setups proposing in this paper. Also, we present an experiment using the three proposed methods to solve modified Solomonâ€™s vehicle routing problem datasets which extended a single period vehicle routing problem with time windows to be seven-day routing problems.

Download#### Paper Citation

#### in Harvard Style

Amphaiphan N. and Laesanklang W. (2020). **An Optimization Method for a Multi-day Distribution Problem with Shortage Supplies**.In *Proceedings of the 9th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-396-4, pages 356-363. DOI: 10.5220/0009154703560363

#### in Bibtex Style

@conference{icores20,

author={Netiphan Amphaiphan and Wasakorn Laesanklang},

title={An Optimization Method for a Multi-day Distribution Problem with Shortage Supplies},

booktitle={Proceedings of the 9th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2020},

pages={356-363},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0009154703560363},

isbn={978-989-758-396-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 9th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - An Optimization Method for a Multi-day Distribution Problem with Shortage Supplies

SN - 978-989-758-396-4

AU - Amphaiphan N.

AU - Laesanklang W.

PY - 2020

SP - 356

EP - 363

DO - 10.5220/0009154703560363