From 920a2121b14e511839e4ce2e5b3764b9efc78eb6 Mon Sep 17 00:00:00 2001
From: "hannes.kuchelmeister" <hannes.kuchelmeister@cas.de>
Date: Wed, 23 Oct 2019 18:11:52 +0200
Subject: [PATCH] add product configuration and some headlines to foundations

---
 02_Proposal/sections/10_foundations.tex | 21 ++++++++++++++++++---
 1 file changed, 18 insertions(+), 3 deletions(-)

diff --git a/02_Proposal/sections/10_foundations.tex b/02_Proposal/sections/10_foundations.tex
index 4bcc68f..d217aa5 100644
--- a/02_Proposal/sections/10_foundations.tex
+++ b/02_Proposal/sections/10_foundations.tex
@@ -4,14 +4,29 @@
 \section{Group Decision-Making}
 \label{sec:Foundation:GroupDecisionMaking}
 
+\section{Decision Tasks}
+\label{sec:Foundation:DecisionTask}
+
+\section{Recommender System}
+\label{sec:Foundation:RecommenderSystem}
+
+\section{Single User Decision Scenario}
+\label{sec:Foundation:SingleUserDecisionScenario}
+
+\section{Group Decision Scenario}
+\label{sec:Foundation:GroupDecisionScenario}
 
 \section{Product Configuration}
 \label{sec:Foundation:ProductConfiguration}
 
+Product configuration is a process consisting of a series of decision tasks whereby a product is constructed of components which interact with each other. During a configuration process no new components are created their interplay and specification is defined beforehand \cite[~ p. 42-43]{sabinProductConfigurationFrameworksa1998}.
+
+Formally a configuration problem can be specified as a \emph{constraint satisfaction problem (CSP)} \cite{tsangFoundationsConstraintSatisfaction1993} as 
+\[
+    CSP(V,D,C)
+\]
+where \( V = \{v_1,\dots, v_n\} \) is a set of variables, \( D = dom : V \mapsto X \) is a relation of variables and their corresponding domain definitions \( X \), and \( C = C_{PREF} \cup C_{KB} \) is a set of constraints with customer preferences \( C_{PREF} \) and configuration knowledge base \( C_{KB} \) \cite{felfernigOpenConfiguration2014, felferningGroupBasedConfiguration2016}.
 
 \section{Collaborative Product Configuration}
 \label{sec:Foundation:CollaborativeProductConfiguration}
 
-
-\section{Recommender System}
-\label{sec:Foundation:RecommenderSystem}