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Modeling 
and 
Analysis
DSS 
modeling 
– 
Issues 
• DSS 
– 
can 
be 
composed 
of 
mul8ple 
models 
• Modeling 
Issues 
-­‐ 
• Iden8fica8on 
of 
problems 
and 
environment 
analysis 
• Variable 
iden8fica8on 
• Forecas8ng 
(predic8ve 
analysis)
DSS 
modeling 
– 
Categories 
• Op8misa8on 
of 
problems 
with 
few 
alterna8ves 
• Op8misa8on 
via 
algorithm 
• Op8misa8on 
via 
analy8cal 
formula 
• Simula8on 
• Heuris8cs 
• Predic8ve 
models 
• Other 
Models
DSS 
modeling 
– 
Categories
DSS 
modeling 
– 
Trends 
• Model 
libraries 
and 
solu8on 
techniques 
• Using 
web 
tools 
– 
perform 
modeling, 
op8misa8on, 
simula8on 
etc 
• Mul8dimensional 
analysis 
• Model 
for 
model 
analysis
Classifica8on 
of 
DSS 
Models 
Sta$c 
Analysis: 
• Sta8c 
model 
takes 
a 
single 
snapshot 
of 
situa8on 
• Everything 
occurs 
in 
a 
single 
interval. 
• E.g. 
Make 
or 
buy 
decision 
• Stability 
of 
the 
relevant 
data 
is 
assumed.
Dynamic 
Analysis: 
• Represents 
scenarios 
that 
change 
over 
8me. 
• E.g. 
5-­‐year 
profit 
and 
loss 
projec8on 
in 
which 
the 
input 
data, 
such 
as 
costs, 
prices, 
and 
quan88es, 
change 
from 
year 
to 
year. 
• Time 
dependent 
• Important 
because 
they 
use, 
represent, 
or 
generate 
trends 
and 
paRerns 
over 
8me. 
• Shows 
average 
per 
period, 
moving 
averages 
and 
compara8ve 
analysis.
Certainty, 
uncertainty, 
and 
risk 
Decision 
situa8ons 
are 
oSen 
classified 
on 
the 
basis 
of 
what 
the 
decision 
maker 
believes 
about 
the 
forecasted 
results. 
The 
categories 
are: 
• Certainty 
• Risk 
• Uncertainty
Decision 
Making 
Under 
Certainty 
• Complete 
knowledge 
is 
available 
• Decision 
maker 
knows 
the 
outcome 
of 
each 
course 
of 
ac8on 
• Situa8on 
involve 
is 
oSen 
with 
structured 
problems 
with 
short 
8me 
horizons 
• Certain 
models 
are 
rela8vely 
easy 
to 
develop 
and 
solve 
and 
they 
can 
yield 
op8mal 
solu8ons.
Decision 
making 
under 
uncertainty 
• Several 
outcomes 
for 
each 
course 
of 
ac8on. 
• Decision 
maker 
does 
not 
know, 
or 
cannot 
es8mate 
the 
possible 
outcomes. 
• More 
difficult 
because 
of 
insufficient 
informa8on. 
• Involves 
assessment 
of 
the 
decision 
maker’s 
aXtude 
towards 
risk.
Decision 
making 
under 
risk 
(Risk 
analysis) 
• Decision 
maker 
must 
consider 
several 
possible 
outcomes 
for 
each 
alterna8ve. 
• The 
decision 
maker 
can 
assess 
the 
degree 
of 
risk 
associated 
with 
each 
alterna8ve. 
• Risk 
analysis 
can 
be 
performed 
by 
calcula8ng 
the 
expected 
value 
for 
each 
alterna8ve 
and 
selec8ng 
the 
one 
with 
best 
expected 
value.
Decision 
analysis 
with 
decision 
tables 
and 
decision 
trees 
Decision 
Table: 
• Organize 
informa8on 
and 
knowledge 
in 
systema8c 
tabular 
manner
Decision 
Trees: 
• Alterna8ve 
representa8on 
of 
the 
decision 
table 
• Shows 
the 
rela8onship 
of 
the 
problem 
graphically 
and 
handle 
complex 
situa8ons 
• Can 
be 
cumbersome 
if 
there 
are 
many 
alterna8ves 
or 
sta8c 
nature. 
• TreeAge 
Pro 
and 
Precision 
Tree: 
Powerful 
and 
sophis8cated 
decision 
tree 
analysis 
systems
Structure 
of 
mathema8cal 
models 
for 
decision 
support 
Components 
of 
decision 
support 
mathema8cal 
models: 
• Result 
Variables 
• Decision 
Variables 
• Uncontrollable 
variables 
• Intermediate 
result 
variables
• Result 
Variables: 
reflect 
the 
level 
of 
effec8veness 
of 
a 
system 
• Decision 
Variables: 
describes 
alterna8ve 
course 
of 
ac8on. 
• Uncontrollable 
Variables: 
Some 
factors 
that 
affect 
the 
result 
variables 
but 
not 
under 
the 
control 
of 
decision 
maker. 
• Intermediate 
result 
Variables: 
reflect 
intermediate 
outcomes 
in 
mathema8cal 
models.
Mul8ple 
Goals
Sensi8vity 
Analysis 
• ARempts 
to 
assess 
the 
impact 
of 
a 
change 
in 
input 
data 
on 
proposed 
solu8on. 
• Important 
because 
it 
allows 
flexibility 
and 
adapta8on 
to 
changing 
condi8ons 
• Provides 
a 
beRer 
understanding 
of 
the 
model 
and 
the 
decision 
making 
situa8on 
• Used 
for: 
1.Revising 
models 
to 
eliminate 
too-­‐large 
sensi8vi8es. 
2.Adding 
details 
about 
sensi8ve 
variables. 
3.Obtainong 
beRer 
es8mate 
of 
sensi8ve 
external 
variables. 
4.Altering 
a 
real-­‐world 
system 
to 
reduce 
actual 
sensi8vi8es.
What-­‐If-­‐Analysis 
• What 
will 
happen 
to 
the 
solu8on 
if 
an 
input 
variables, 
an 
assump8on, 
or 
a 
parameter 
value 
is 
changed 
• With 
the 
appropriate 
user 
interface, 
it 
is 
easy 
for 
manager 
to 
ask 
a 
computer 
model 
different 
ques8ons 
and 
get 
the 
answers. 
• Common 
in 
expert 
systems. 
• User 
get 
an 
opportunity 
to 
change 
their 
answers 
to 
some 
ques8on’s.
Goal 
Analysis 
• Calculates 
the 
values 
of 
the 
inputs 
necessary 
to 
achieve 
a 
desired 
level 
of 
output. 
• Represents 
a 
backward 
solu8on 
approach
Problem 
solving 
search 
methods 
The 
choice 
phase 
of 
problem 
solving 
involves 
a 
search 
for 
an 
appropriate 
course 
of 
ac8on. 
Search 
approaches 
are: 
• Analy8cal 
Techniques 
• Algorithms 
• Blind 
Searching 
• Heuris8c 
Searching
Simula8on 
• Is 
a 
appearance 
of 
reality. 
• A 
technique 
for 
conduc8ng 
experiments 
with 
computer 
on 
model 
of 
a 
management 
system 
• Characteris$cs: 
1.Simula8on 
typically 
imita8ve. 
2.Technique 
for 
conduc8ng 
experiments. 
3.Descrip8ve 
rather 
than 
a 
norma8ve. 
4.Used 
only 
when 
a 
problem 
is 
too 
complex 
to 
be 
treated 
using 
numerical 
op8mizing 
techniques.
Advantages 
of 
simula8on 
• Theory 
is 
fairly 
straighcorward. 
• Great 
8me 
compression 
• Descrip8ve 
rather 
than 
norma8ve. 
• Built 
from 
the 
manager’s 
perspec8ve. 
• Built 
for 
one 
par8cular 
problem 
and 
cannot 
solve 
any 
other 
problem. 
• 
A 
manager 
can 
experiment 
to 
determine 
which 
decision 
variables 
and 
which 
part 
of 
environment 
are 
really 
important, 
and 
with 
different 
alterna8ves.
• Can 
handle 
an 
extremely 
wide 
variety 
of 
problem 
types, 
such 
as 
inventory 
and 
staffing. 
• Can 
include 
the 
real 
complexi8es 
of 
problems. 
• Automa8cally 
produce 
many 
important 
performance 
measures. 
• Rela8vely 
easy-­‐to-­‐use 
simula8on 
packages. 
• OSen 
the 
only 
DSS 
modeling 
method 
that 
can 
readily 
handle 
rela8vely 
unstructured 
problem.
Disadvantages 
of 
simula8on 
• An 
op8mal 
solu8on 
cannot 
be 
guaranteed. 
• Model 
construc8on 
can 
be 
a 
slow 
and 
costly 
process. 
• Solu8ons 
are 
not 
transferable 
to 
other 
problems 
• Easy 
to 
explain 
to 
managers 
that 
analy8c 
methods 
are 
overlooked. 
• Requires 
special 
skills 
because 
of 
the 
complexity 
of 
the 
formal 
solu8on 
method.
The 
Methodology 
of 
Simula8on 
Test 
& 
validate 
the 
model 
Real 
world 
problem 
Define 
the 
problem 
Construct 
simula8on 
model 
Implement 
the 
result 
Design 
the 
simula8on 
experiments 
Conduct 
the 
experiments 
Evaluates 
the 
results
Simula8on 
type 
Probabilis8c 
Simula8on: 
• One 
or 
more 
of 
the 
independent 
variables 
• Follow 
certain 
probability 
distribu8ons 
namely 
1.Discete 
distribu8on 
2.Con8nuous 
distribu8on 
• Conducted 
with 
the 
aid 
of 
technique 
called 
Monte 
Carlo 
simula8on.
Time-­‐Dependent 
Vs 
Time-­‐Independent 
Simula8on: 
• Time-­‐independent-­‐not 
important 
to 
know 
the 
exact 
8me 
of 
event 
• Time-­‐dependent-­‐In 
wai8ng 
line 
problems, 
it 
is 
important 
to 
know 
the 
precise 
8me 
of 
arrival.
Object-­‐Oriented 
Simula8on: 
• SIMPROCESS 
is 
an 
object-­‐oriented 
process 
modeling 
tool 
that 
allows 
user 
to 
create 
a 
simula8on 
model 
by 
using 
screen 
based 
object. 
• Unified 
Modeling 
Language(UML)-­‐ 
Designed 
for 
object-­‐oriented 
and 
object 
based 
systems 
and 
applica8ons. 
• Java 
based 
simula8ons 
are 
essen8ally 
object 
oriented.
Visual 
Simula8on: 
• Graphical 
display 
of 
computerized 
results 
• Includes 
anima8ons 
• Is 
one 
of 
the 
most 
successful 
development 
in 
computer-­‐human 
interac8ons 
and 
problem 
solving.
Quan8ta8ve 
SoSware 
Packages 
• Are 
preprogrammed 
models 
and 
op8miza8on 
systems. 
• Serve 
as 
building 
blocks 
for 
other 
quan8ta8ve 
models 
• A 
variety 
of 
these 
are 
available 
for 
inclusion 
in 
DSS 
as 
major 
and 
minor 
modeling 
components. 
• Revenue 
management 
systems 
focus 
on 
iden8fying 
right 
product 
for 
right 
customer. 
• Airlines 
have 
used 
such 
systems 
to 
determine 
right 
price 
for 
each 
airline 
seat. 
• System 
also 
available 
for 
retail 
opera8ons, 
entertainment 
venues, 
and 
many 
other 
industries.

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Modeling and analysis

  • 2. DSS modeling – Issues • DSS – can be composed of mul8ple models • Modeling Issues -­‐ • Iden8fica8on of problems and environment analysis • Variable iden8fica8on • Forecas8ng (predic8ve analysis)
  • 3. DSS modeling – Categories • Op8misa8on of problems with few alterna8ves • Op8misa8on via algorithm • Op8misa8on via analy8cal formula • Simula8on • Heuris8cs • Predic8ve models • Other Models
  • 4. DSS modeling – Categories
  • 5. DSS modeling – Trends • Model libraries and solu8on techniques • Using web tools – perform modeling, op8misa8on, simula8on etc • Mul8dimensional analysis • Model for model analysis
  • 6. Classifica8on of DSS Models Sta$c Analysis: • Sta8c model takes a single snapshot of situa8on • Everything occurs in a single interval. • E.g. Make or buy decision • Stability of the relevant data is assumed.
  • 7. Dynamic Analysis: • Represents scenarios that change over 8me. • E.g. 5-­‐year profit and loss projec8on in which the input data, such as costs, prices, and quan88es, change from year to year. • Time dependent • Important because they use, represent, or generate trends and paRerns over 8me. • Shows average per period, moving averages and compara8ve analysis.
  • 8. Certainty, uncertainty, and risk Decision situa8ons are oSen classified on the basis of what the decision maker believes about the forecasted results. The categories are: • Certainty • Risk • Uncertainty
  • 9. Decision Making Under Certainty • Complete knowledge is available • Decision maker knows the outcome of each course of ac8on • Situa8on involve is oSen with structured problems with short 8me horizons • Certain models are rela8vely easy to develop and solve and they can yield op8mal solu8ons.
  • 10. Decision making under uncertainty • Several outcomes for each course of ac8on. • Decision maker does not know, or cannot es8mate the possible outcomes. • More difficult because of insufficient informa8on. • Involves assessment of the decision maker’s aXtude towards risk.
  • 11. Decision making under risk (Risk analysis) • Decision maker must consider several possible outcomes for each alterna8ve. • The decision maker can assess the degree of risk associated with each alterna8ve. • Risk analysis can be performed by calcula8ng the expected value for each alterna8ve and selec8ng the one with best expected value.
  • 12. Decision analysis with decision tables and decision trees Decision Table: • Organize informa8on and knowledge in systema8c tabular manner
  • 13. Decision Trees: • Alterna8ve representa8on of the decision table • Shows the rela8onship of the problem graphically and handle complex situa8ons • Can be cumbersome if there are many alterna8ves or sta8c nature. • TreeAge Pro and Precision Tree: Powerful and sophis8cated decision tree analysis systems
  • 14. Structure of mathema8cal models for decision support Components of decision support mathema8cal models: • Result Variables • Decision Variables • Uncontrollable variables • Intermediate result variables
  • 15. • Result Variables: reflect the level of effec8veness of a system • Decision Variables: describes alterna8ve course of ac8on. • Uncontrollable Variables: Some factors that affect the result variables but not under the control of decision maker. • Intermediate result Variables: reflect intermediate outcomes in mathema8cal models.
  • 17. Sensi8vity Analysis • ARempts to assess the impact of a change in input data on proposed solu8on. • Important because it allows flexibility and adapta8on to changing condi8ons • Provides a beRer understanding of the model and the decision making situa8on • Used for: 1.Revising models to eliminate too-­‐large sensi8vi8es. 2.Adding details about sensi8ve variables. 3.Obtainong beRer es8mate of sensi8ve external variables. 4.Altering a real-­‐world system to reduce actual sensi8vi8es.
  • 18. What-­‐If-­‐Analysis • What will happen to the solu8on if an input variables, an assump8on, or a parameter value is changed • With the appropriate user interface, it is easy for manager to ask a computer model different ques8ons and get the answers. • Common in expert systems. • User get an opportunity to change their answers to some ques8on’s.
  • 19. Goal Analysis • Calculates the values of the inputs necessary to achieve a desired level of output. • Represents a backward solu8on approach
  • 20. Problem solving search methods The choice phase of problem solving involves a search for an appropriate course of ac8on. Search approaches are: • Analy8cal Techniques • Algorithms • Blind Searching • Heuris8c Searching
  • 21. Simula8on • Is a appearance of reality. • A technique for conduc8ng experiments with computer on model of a management system • Characteris$cs: 1.Simula8on typically imita8ve. 2.Technique for conduc8ng experiments. 3.Descrip8ve rather than a norma8ve. 4.Used only when a problem is too complex to be treated using numerical op8mizing techniques.
  • 22. Advantages of simula8on • Theory is fairly straighcorward. • Great 8me compression • Descrip8ve rather than norma8ve. • Built from the manager’s perspec8ve. • Built for one par8cular problem and cannot solve any other problem. • A manager can experiment to determine which decision variables and which part of environment are really important, and with different alterna8ves.
  • 23. • Can handle an extremely wide variety of problem types, such as inventory and staffing. • Can include the real complexi8es of problems. • Automa8cally produce many important performance measures. • Rela8vely easy-­‐to-­‐use simula8on packages. • OSen the only DSS modeling method that can readily handle rela8vely unstructured problem.
  • 24. Disadvantages of simula8on • An op8mal solu8on cannot be guaranteed. • Model construc8on can be a slow and costly process. • Solu8ons are not transferable to other problems • Easy to explain to managers that analy8c methods are overlooked. • Requires special skills because of the complexity of the formal solu8on method.
  • 25. The Methodology of Simula8on Test & validate the model Real world problem Define the problem Construct simula8on model Implement the result Design the simula8on experiments Conduct the experiments Evaluates the results
  • 26. Simula8on type Probabilis8c Simula8on: • One or more of the independent variables • Follow certain probability distribu8ons namely 1.Discete distribu8on 2.Con8nuous distribu8on • Conducted with the aid of technique called Monte Carlo simula8on.
  • 27. Time-­‐Dependent Vs Time-­‐Independent Simula8on: • Time-­‐independent-­‐not important to know the exact 8me of event • Time-­‐dependent-­‐In wai8ng line problems, it is important to know the precise 8me of arrival.
  • 28. Object-­‐Oriented Simula8on: • SIMPROCESS is an object-­‐oriented process modeling tool that allows user to create a simula8on model by using screen based object. • Unified Modeling Language(UML)-­‐ Designed for object-­‐oriented and object based systems and applica8ons. • Java based simula8ons are essen8ally object oriented.
  • 29. Visual Simula8on: • Graphical display of computerized results • Includes anima8ons • Is one of the most successful development in computer-­‐human interac8ons and problem solving.
  • 30. Quan8ta8ve SoSware Packages • Are preprogrammed models and op8miza8on systems. • Serve as building blocks for other quan8ta8ve models • A variety of these are available for inclusion in DSS as major and minor modeling components. • Revenue management systems focus on iden8fying right product for right customer. • Airlines have used such systems to determine right price for each airline seat. • System also available for retail opera8ons, entertainment venues, and many other industries.