Routes planning in a condominium company using mathematical optimization
Abstract
This work focuses on planning daily routes for a group of employees of a condominium company. Given a set of employees and a set of customers with pre-scheduled visits, we want to build doubly-open routes to guarantee visits to all customers, ensuring that each customer is visited by an employee with the appropriate skills to carry out the required activity. The travel times between customers and the service time in each customer are known. The problem includes time windows for visiting customers, each employee has a maximum working time, and the daily working period is between 9 AM and 6:30 PM. The routes respect the lunch break period if they extend from morning to afternoon, which means that lunch break can be avoided if the route is fully completed in the morning or in the afternoon. The aim is to minimize the distance covered by all routes with a penalty for including lunch breaks. The distances and times between customers are collected via an API to Microsoft Azure; and the solutions are then displayed on Bing Maps. The results obtained show the operational advantages of an efficient and effective vehicle routing planning in a specific condominium management company. The model can be extended to other service provider companies.
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BibTeX
@misc{rocha2026routes,
title = {{Routes planning in a condominium company using mathematical optimization}},
author = {Lara Rocha and Pedro Martins},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20080},
eprint = {2610.20080},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20080},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Routes planning in a condominium company using mathematical optimization
AU - Lara Rocha
AU - Pedro Martins
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20080
UR - https://arxiv.org/abs/2610.20080
AB - This work focuses on planning daily routes for a group of employees of a condominium company. Given a set of employees and a set of customers with pre-scheduled visits, we want to build doubly-open routes to guarantee visits to all customers, ensuring that each customer is visited by an employee with the appropriate skills to carry out the required activity. The travel times between customers and the service time in each customer are known. The problem includes time windows for visiting customers, each employee has a maximum working time, and the daily working period is between 9 AM and 6:30 PM. The routes respect the lunch break period if they extend from morning to afternoon, which means that lunch break can be avoided if the route is fully completed in the morning or in the afternoon. The aim is to minimize the distance covered by all routes with a penalty for including lunch breaks. The distances and times between customers are collected via an API to Microsoft Azure; and the solutions are then displayed on Bing Maps. The results obtained show the operational advantages of an efficient and effective vehicle routing planning in a specific condominium management company. The model can be extended to other service provider companies.
ER -