deletions | additions       diff --git a/untitled.tex b/untitled.tex  index bab4ff2..0785e7f 100644  --- a/untitled.tex  +++ b/untitled.tex 
...
\subsection{Agent Based Models}  \label{sec:agentbasedmodels}  Agent based modeling is a powerful method to form simulations that models autonomous units to make decisions called agents. Agents create decisions like a human, has its own perspective and bound by certain decision rules but realistically also lacks the complete picture of the system. Agent based models can have rules and behaviors that could not have been predicted mathematically \cite{Ljubovic_2009}and \cite{Ljubovic_2009} and  one example in application to the research paper is the instance of traffic congestion. Ljubovic et al. stated four instances where Agent Based Modeling is best used {:}  \begin{enumerate}  \item When behavior of individual units is non-linear, or it can only be described by a combination of if-then rules and thresholds.  \item When individual unit behavior includes memory, path, dependency//hysteresis, dependency/hysteresis,  non-Markov behaviors or temporal dependencies such as adaptation and learning. \item When interactions among agents are heterogeneous and can lead to network effects. With flow equations a homogeneous mixture is assumed, but due to the complex interaction topology such interactions can affect the whole system.  \item When averaging out eliminates important aspects of individual behavior that can affect the whole system.  \end{enumerate}   Model of an individual agent can be separately modified and tested. In the example of using traffic models, measuring the behavior of individual drivers and compare it with an encoded agent model is possible. Afterwards, the agent can be placed into a simulation to calibrate the whole system's behavior through the use of the measured values.  The possibility of adapting a BRT system with the existing PUV's in Metro Manila, it is a challenge to prove how efficient in terms of shortening travel time and easing traffic congestion will the new PT System of having certain bus stops and scheduling can be. Without the use of prototypes on the road, alternatively using simulations using agent based models to evaluate the concept's efficiency is an inexpensive and prevents major risks of implementation without proper study. \\  \section{Research Objectives}  \label{sec:researchobjectives}