Pemodelan
dan
Analisis
Pemodelan MSS
o Banyak kelas dalam
pemodelan
o Menggunakan teknik khusus
di setiap model
o Memungkinkan pengujian
sering dilakukan untuk setiap
solusi alternatif
Beberapa model
sering disisipkan
dalam sebuah DSS
SIMULASI
o Mengeksplorasi permasalahan secara lebih dekat
o Mengidentifikasi solusi alternatif
Keputusan
Pemanfaatan Lahan
• Topik pengambilan keputusan yang paling menarik
8
Seorang pengusaha mempunyai lahan dan dia harus
mengambil keputusan pemanfaatan lahannya.
– Apakah lahannya akan dijual. Jika lahan dijual maka akan
menghasilkan Rp 90 juta.
– Atau ditanami anggrek. Jika diusahakan tanaman anggrek
ada dua kemungkinan: (1) jika beruntung ia akan
memperoleh laba Rp 700 juta; (2) jika tidak beruntung ia
akan rugi Rp 100 juta.
• Kemungkinan beruntung adalah 25%, dan kemung-kinan
tidak beruntung adalah 75%.
Data & Decision Tree Results
9/30/2011 ©Prof.Dwi Darmawan 10
• Data disimpan pada file DECISION.DEC. Output
(decision tree results, tree structure) dapat dilihat
pada menu Windows.
Tree Structure
9/30/2011 ©Prof.Dwi Darmawan 11
• Node name:1=start, 2=Bertanam anggrek,
3=Menjual lahan, 4=Beruntung, 5=Tidak
beruntung
Keputusan terbaik adalah bertanam
anggrek dengan
expected value
Rp 100
juta.
13
BREAKEVEN/COST-VOLUME ANALYSIS
9/30/2011 ©Prof.Dwi Darmawan 14
• Dalam menyusun perencanaan penjualan, manajemen
membutuhkan informasi
– Tingkat penjualan berapa yang harus dicapai agar diperoleh laba
– Pada tingkat penjualan berapa dicapai dicapai titik impas
– Tingkat penjualan berapa perusahaan akan menderita kerugian.
• Alat bantu yang digunakan manajemen adalah analisis Breakeven
Analysis (Cost vs Revenue), merupakan bagian dari Cost-Volume
Analysis (CVA).
• Dalam analisis Breakeven hanya ada satu biaya tetap, satu biaya
variabel, dan satu pendapatan per unit.
• Titik impas (Breakeven Point) menunjukkan volume atau
Penentuan Titik Impas
pada
Perusahaan
Kasus
9/30/2011 16
• Perusahaan konfeksi "Krishna" memproduksi dan
menjual kaos oblong. Pada tahun lalu, dengan
mengeluarkan biaya tetap Rp12 juta,- dan biaya
variabel per unit Rp 20.000,-. perusahaan menetapkan
harga jual kaos oblong Rp 35.000,- per potong.
Berapa jumlah kaos oblong yang harus dijual oleh
perusahaan agar diperoleh
titik impas?
Graph of Breakeven Analysis
(Breakeven result, Graph of Breakeven Analysis)
dapat dilihat pada menu Windows. Breakeven Point
dicapai
pada volume 800 potong
dan cost
Rp 280
TEKNIK PERAMALAN
KUALITATIF & KUANTITATIF (Cont’d)
9/30/2011 ©Prof.Dwi Darmawan 21
• Peramalan kuantitatif menggunakan data historis
dan hubungan kausal (sebab-akibat) untuk
meramalkan permintaan yang akan datang.
• Model seri waktu (time series)
– Peramalan dengan penghalusan/pemulusan (smoothing):
rata-rata bergerak dan penghalusan eksponensial
– Dekomposisi (trend, season, cyclic, random); metode box
jenkins (autoregressive integrated moving average,
ARIMA).
• Model kausal, yakni (1) analisis regresi, seperti:
regresi linier, curvilinier, dan variabel bebas
TAHAP PERAMALAN
9/30/2011 ©Prof.Dwi Darmawan 22
– Menentukan penggunaan peramalan itu, apa
tujuannya.
– Memilih hal-hal yang akan diramal.
– Menentukan horison waktunya, jangka
pendek/panjang.
– Memilih model peramalannya.
– Mengumpulkan data yang dibutuhkan untuk
membuat ramalan.
– Membuat ramalan.
– Menerapkan hasilnya.
PERAMALAN TUGAS MENANTANG
9/30/2011 ©Prof.Dwi Darmawan 23
• Asumsi yang beralasan mempengaruhi ketepatan
peramalan yang dibuat manajer.
• Tidak ada metode peramalan yang sempurna untuk
semua kondisi.
• Sekali ditemukan pendekatan yang memuaskan,
manajer masih harus terus memantau dan mengawasi
ramalan-ramalannya agar tidak menambah kesalahan.
• Peramalan adalah bagian dari tugas manajemen yang
Kasus:
Peramalan Penjualan Sepeda Motor
9/30/2011 24
• Dealer sepeda motor di Denpasar ingin membuat
peramalan akurat penjualannya untuk bulan
berikutnya. Karena pabrik terletak di Jakarta, cukup
sulit bagi dealer mengembalikan/memesan motor.
• Dianalisis dengan POM for Windows
(prentice-hall.com), pilih modul Forcasting. Data penjualan 12
bulan disimpan pada file FORECAST.FOR. Metode yang
digunakan dipilih pada Method Box: Moving Averages.
• Kasus diselesaikan dengan Solve. Jika ada Edit data,
klik Edit. Output dapat dilihat pada menu Windows.
• Peramalan penjualan bulan Januari adalah 15 unit.
Penjualan Sepeda Motor Tahun Lalu
Forecasting Results &Graph
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-29
Learning Objectives
• Understand basic concepts of MSS modeling.
• Describe MSS models interaction.
• Understand different model classes.
• Structure decision making of alternatives.
• Learn to use spreadsheets in MSS modeling.
• Understand the concepts of optimization, simulation,
and heuristics.
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-30
Learning Objectives
• Understand the capabilities of linear programming.
• Examine search methods for MSS models.
• Determine the differences between algorithms, blind
search, heuristics.
• Handle multiple goals.
• Understand terms sensitivity, automatic, what-if
analysis, goal seeking.
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-31
Dupont Simulates Rail Transportation System and
Avoids Costly Capital Expense Vignette
•
Promodel
simulation created representing
entire transport system
• Applied what-if analyses
• Visual simulation
• Identified varying conditions
• Identified bottlenecks
• Allowed for downsized fleet without
downsizing deliveries
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-32
MSS Modeling
• Key element in DSS
• Many classes of models
• Specialized techniques for each model
• Allows for rapid examination of alternative solutions
• Multiple models often included in a DSS
• Trend toward transparency
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-33
Simulations
• Explore problem at hand
• Identify alternative solutions
• Can be object-oriented
• Enhances decision making
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-34
DSS Models
• Algorithm-based models
• Statistic-based models
• Linear programming models
• Graphical models
• Quantitative models
• Qualitative models
• Simulation models
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-35
Problem Identification
• Environmental scanning and analysis
• Business intelligence
• Identify variables and relationships
– Influence diagrams
– Cognitive maps
• Forecasting
– Fueled by e-commerce
– Increased amounts of information available
through technology
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-37
Static Models
• Single photograph of situation
• Single interval
• Time can be rolled forward, a photo at a time
• Usually repeatable
• Steady state
– Optimal operating parameters
– Continuous
– Unvarying
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-38
Dynamic Model
• Represent changing situations
• Time dependent
• Varying conditions
• Generate and use trends
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-39
Decision-Making
• Certainty
– Assume complete knowledge
– All potential outcomes known
– Easy to develop
– Resolution determined easily
– Can be very complex
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-40
Decision-Making
• Uncertainty
– Several outcomes for each decision
– Probability of occurrence of each outcome
unknown
– Insufficient information
– Assess risk and willingness to take it
– Pessimistic/optimistic approaches
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-41
Decision-Making
• Probabilistic Decision-Making
– Decision under risk
– Probability of each of several possible outcomes
occurring
– Risk analysis
• Calculate value of each alternative
• Select best expected value
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-42
Influence Diagrams
• Graphical representation of model
• Provides relationship framework
• Examines dependencies of variables
• Any level of detail
• Shows impact of change
• Shows what-if analysis
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-43
Influence Diagrams
Decision
Intermediate
or
uncontrollable
Variables:
Result or outcome
(intermediate or
final)
Certainty
Uncertainty
Arrows indicate type of relationship and direction of influence
Amount
in CDs
Interest
earned
Price
Sales
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-44
Influence Diagrams
Random (risk)
Place tilde above
variable’s name
~
Demand
Sales
Preference
(double line arrow)
Graduate
University
Sleep all
day
Ski all
day
Get job
Arrows can be one-way or bidirectional, based upon the direction
of influence
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-46
Modeling with Spreadsheets
• Flexible and easy to use
• End-user modeling tool
• Allows linear programming and regression
analysis
• Features what-if analysis, data management,
macros
• Seamless and transparent
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-48
Decision Tables
• Multiple criteria decision analysis
• Features include:
– Decision variables (alternatives)
– Uncontrollable variables
– Result variables
• Applies principles of certainty, uncertainty,
and risk
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-49
Decision Tree
• Graphical representation of relationships
• Multiple criteria approach
• Demonstrates complex relationships
• Cumbersome, if many alternatives
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-50
MSS Mathematical Models
• Link decision variables, uncontrollable variables,
parameters, and result variables together
– Decision variables describe alternative choices.
– Uncontrollable variables are outside decision-maker’s
control.
– Fixed factors are parameters.
– Intermediate outcomes produce intermediate result
variables.
– Result variables are dependent on chosen solution and
uncontrollable variables.
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-51
MSS Mathematical Models
• Nonquantitative models
– Symbolic relationship
– Qualitative relationship
– Results based upon
• Decision selected
• Factors beyond control of decision maker
• Relationships amongst variables
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-53
Mathematical Programming
• Tools for solving managerial problems
• Decision-maker must allocate resources amongst
competing activities
• Optimization of specific goals
• Linear programming
– Consists of decision variables, objective function and
coefficients, uncontrollable variables (constraints),
capacities, input and output coefficients
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-54
Multiple Goals
• Simultaneous, often conflicting goals sought by
management
• Determining single measure of effectiveness is
difficult
• Handling methods:
– Utility theory
– Goal programming
– Linear programming with goals as constraints
– Point system
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-55
Sensitivity, What-if, and Goal Seeking Analysis
• Sensitivity
– Assesses impact of change in inputs or parameters on solutions
– Allows for adaptability and flexibility
– Eliminates or reduces variables
– Can be automatic or trial and error
• What-if
– Assesses solutions based on changes in variables or assumptions
• Goal seeking
– Backwards approach, starts with goal
– Determines values of inputs needed to achieve goal
– Example is break-even point determination
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-56
Search Approaches
• Analytical techniques (algorithms) for structured
problems
– General, step-by-step search
– Obtains an optimal solution
• Blind search
– Complete enumeration
• All alternatives explored
– Incomplete
• Partial search
– Achieves particular goal
– May obtain optimal goal
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-57
Search Approaches
• Heurisitic
– Repeated, step-by-step searches
– Rule-based, so used for specific situations
– “Good enough” solution, but, eventually, will obtain
optimal goal
– Examples of heuristics
• Tabu search
– Remembers and directs toward higher quality choices
• Genetic algorithms
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-59
Simulations
• Imitation of reality
• Allows for experimentation and time compression
• Descriptive, not normative
• Can include complexities, but requires special skills
• Handles unstructured problems
• Optimal solution not guaranteed
• Methodology
– Problem definition
– Construction of model
– Testing and validation
– Design of experiment
– Experimentation
– Evaluation
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-60
Simulations
• Probabilistic independent variables
– Discrete or continuous distributions
• Time-dependent or time-independent
• Visual interactive modeling
– Graphical
– Decision-makers interact with simulated model
– may be used with artificial intelligence
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-62
Model-Based Management System
• Software that allows model organization with
transparent data processing
• Capabilities
– DSS user has control
– Flexible in design
– Gives feedback
– GUI based
– Reduction of redundancy
– Increase in consistency
© 2005 Prentice Hall, Decision Support Systems and
Intelligent Systems, 7th Edition, Turban, Aronson, and Liang
4-63