This article will address the issue of Vehicle rescheduling problem, which has gained significant relevance in different areas of society. Vehicle rescheduling problem has become a topic of interest for academics, professionals, and the general public, due to its impact and significance in various areas of study and daily life. Over the last decades, Vehicle rescheduling problem has been the subject of research, debates and reflections that have allowed a greater understanding and appreciation of its importance. In this sense, this article aims to offer a broad and enriching vision of Vehicle rescheduling problem, addressing different perspectives, approaches and opinions on the matter.

The vehicle rescheduling problem (VRSP) is a combinatorial optimization and integer programming problem seeking to service customers on a trip after change of schedule such as vehicle break down or major delay. Proposed by Li, Mirchandani and Borenstein in 2007,[1] the VRSP is an important problem in the fields of transportation and logistics.
Determining the optimal solution is an NP-complete problem in combinatorial optimization[citation needed], so in practice heuristic and deterministic methods are used to find acceptably good solutions for the VRSP.
Several variations and specializations of the vehicle rescheduling problem exist:
Although VRSP is related to the Single Depot Vehicle Scheduling Problem and the Multi Depot Vehicle Scheduling Problem, there is a significant difference in runtime requirements, as VRSP need to be solved in near real-time to allow rescheduling during operations, while SDVSP and MDVSP are typically solved using long running linear programming methods.[2]
Another field where VRSP is used is in transportation of goods in order to reschedule the routes when demand substantially changes[3]