Model-Driven Decision Support Systems

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Presentation transcript:

Model-Driven Decision Support Systems Models help us understand business problems

Analysis and Modeling in DSS When the model component dominates the DSS design, the system is best referred as a Model-Driven DSS Models produce results Manipulated directly by managers Software used for creating models needs to be linked to any data needed and the user interface Model-Driven Decision Support Systems, D. J. Power

DSS Analysis and Modeling Tools Statistical packages Forecasting packages Modeling and Quantitative Analysis packages End-User tools like spreadsheets GOAL: to build a model that can be manipulated and tested Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power Modeling Process Identify the problem and analysis of the situation Identify the variables and relationships Is a model appropriate? What needs to be specified? What solution method is most suitable? Is model valid? Model-Driven Decision Support Systems, D. J. Power

Modeling Process Life Cycle Tasks in the Modeling Life Cycle Task Goal Mechanism Problem Identification Clear, precise problem statement Argumentation process Model creation Statement of the model (s) required to mathematically describe the problem Formulation  Integration Model selection and modification (if necessary) Composition Model implementation Computer executable statement of the model Ad hoc program development Use of high-level specialized languages Use of specialized model generator programs Model validation Feedback from validator Symbolic analysis of attributes such as dimensions and units syntax rules Model solution Feedback from solver Solver binding and execution Solver sequencing and control script execution Model interpretation Model comprehension Model debugging Model results analysis Structural analysis Sensitivity analysis Model maintenance Revise problem statement and/or model to reflect changes/insight Symbolic propagation of structural changes Model versions/security Maintain correct and consistent versions of models. Ensure authority to access. Versioning Access control methods

Model-Driven Decision Support Systems, D. J. Power Model Assumptions Untested beliefs/assumptions Static or Dynamic? Static is based on “Single Snapshot” Everything occurs in a single interval Ex: Quarterly or annual income statement Dynamic is used for elapsed time situations Time dependant – when something occurs Ex: five-year profit projection Dynamic models are important because they show trends and patterns over time Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power When building a model Examine conditions and make appropriate assumptions: Certainty. Models based on this assumption are easy to work with and can yield “optimal solutions” Do we have adequate information to assume certainty about relationships? Does X lead to Y? Financial models are often constructed this way Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power When building a model Uncertainty. Analysts should attempt to avoid this assumption Try to acquire more information so the model can be built assuming a risk situation Risk. Most major business decisions are made with assumptions of risk – use What if analysis Model-Driven Decision Support Systems, D. J. Power

Types of Analyses/ Models Explanatory – descriptive models; describes what has occurred to create current results or outcomes, and it provides an explanation or analysis of a situation Example: Sales = f (Advertising, Number of Salespersons) may be based on a correlation of advertising and the number of salespersons with sales in prior quarters Model-Driven Decision Support Systems, D. J. Power

Types of Analyses/ Models Algebraic – predictive, show relationships Indicates which values or behaviors across multiple dimensions must be introduced into the model to effect a specific outcome Manager specifies an outcome and a starting point Model-Driven Decision Support Systems, D. J. Power

Model-Driven DSS May Include Multiple Models! A regression model that identifies relationships among variables A financial model of an income statement An optimization model like linear programming Model-Driven Decision Support Systems, D. J. Power

General Model Problem Types Cost-benefit analysis - Given the decision maker's assessment of costs and benefits, which choice should be recommended? Forecasting - Using time series analysis to answer questions such as: What will demand be for a product? What are the sales patterns? How will sales affect profits? Finance and investment - How much capital do we need? How much will the capital cost? Inventory control and stockout - How much stock should we hold? When do we order more? How much should we order? Model-Driven Decision Support Systems, D. J. Power

General Model Problem Types Location, allocation, distribution - Where is the best location for an operation? How big should facilities be? What resources are needed? Are there shortages? Manpower planning and assignment - How many employees do we need? Project planning and control - How long will a project take? What activities are most important? How should resources be used? Queuing and congestion - How long are queues? How many servers should we use? What service level are we providing? Model-Driven Decision Support Systems, D. J. Power

General Model Problem Types Reliability and replacement policy - How well is equipment working? How reliable is it? When should we replace it? Sequencing and scheduling - What job is most important? In what order should we complete jobs? Model-Driven Decision Support Systems, D. J. Power

Accounting and Financial Models Break-Even Analysis - The break-even volume can be computed in a number of ways. One approach divides fixed costs by the contribution margin to find the break-even quantity. The contribution margin is the selling price per unit minus the variable costs per unit. Also, the breakeven quantity can be calculated by solving the expression: (Price * Quantity Sold) - (Fixed Cost + (Variable Cost per unit * Quantity Sold)) = 0 Budget financial Models Pro Forma Financial statements Ratio Analysis Model-Driven Decision Support Systems, D. J. Power

Accounting and Financial Models Budget financial Models Pro Forma Financial statements Ratio Analysis Model-Driven Decision Support Systems, D. J. Power

Accounting and Financial Models Ratio Analysis - is a process where an analyst or manager evaluates a firm's financial statements ratio analysis can aid in interpreting and evaluating company and competitor income statements and balance sheets by reducing the amount of data contained in them financial ratio analysis can make financial data more meaningful. Any ratio shows a relationship between the numbers in its numerator and denominator. By selecting sets of numbers that are logically related, only a few ratios may be necessary to comprehensively analyze a set of financial statements. Lenders and some investment analysts use ratio analysis. ratios help to determine relative magnitudes of financial quantities For example, the amount of a firm's debt has little meaning unless it is compared with the owner's investment in the business

Model-Driven Decision Support Systems, D. J. Power Decision Analysis Decisions are modeled by an approach in which the alternatives are listed with outcomes Single Goal Approached by the use of the decision table or tree Multiple Goal Approached by the use of multi-attribute utility analysis and the analytical hierarchy process Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power Decision Tree Advantages Shows graphically the relationships of the problem Can deal with more complex situations Model-Driven Decision Support Systems, D. J. Power

Analytic Hierarchy Process Multi-criteria decision technique that can combine qualitative and quantitative factors in the overall evaluation of alternatives Step 1 Develop the hierarchical representation of the problem At the top of the hierarchy is the overall objective and the decision alternatives are at the bottom Between the top and bottom levels are the relevant attributes of the decision problem, such as selection criteria Model-Driven Decision Support Systems, D. J. Power

Analytic Hierarchy Process Step 2 Generate relational data for comparing alternatives This requires a decision-maker to make pairwise comparisons of elements at each level relative to the next higher level in the hierarchy Step 3 Use comparisons of the step2 to determine the relative priority of each attribute to each attribute one level up in the hierarchy Step 4 Priorities or weights of the lowest level alternatives relative to the top-most objective are determined and displayed Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power Influence Diagrams Provides graphical presentation of a model Also serves as a framework for expressing the exact nature of relationships Rectangle = decision variable Circle = uncontrollable or intermediate variable Oval = result (outcome) variable Intermediate or final Shapes are connected by arrows that indicate specific relationships Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power Forecasting Models The major use of forecasting is to predict the value of variables at some time in the future Judgement Methods Based on subjective estimates and expert opinion rather than hard data Used for long range where external factors may play a significant role Used when historical data is limited or non-existent Time-Series Analysis Set of values for a business or economic variable measured at successive intervals of time Moving average, exponential smoothing Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power Forecasting Regression and Econometric Models Association or casual methods Use data analysis tools like regression to find data associations and cause-effect relationships More powerful than time-series methods Ψ = b0 + b1X1 + b2X2 Model-Driven Decision Support Systems, D. J. Power

Network and Optimization Models Project planning and control, location, allocation, distribution and transportation problems can often be formulated using network and optimization models Linear programs are composed of: Decision variables Objective function Coefficients of the Objective Function Constraints Constraint Coefficients Capacities Model-Driven Decision Support Systems, D. J. Power

Network and Optimization Models Linear programs are composed of: Decision variables -- These variables are unknown values that are searched for by applying the model Objective function -- This is a mathematical expression that shows the linear relationship between the decision variables and the single goal that is the focus of the model Coefficients of the Objective Function -- The coefficients of the variables in the objective function are called the profit or cost coefficients. They express the rate at which the value of the objective function increases or decreases by including in the solution one unit of each of the decision variables Model-Driven Decision Support Systems, D. J. Power

Network and Optimization Models Linear programs are composed of: (continued) Constraints -- The maximization or minimization is performed subject to a set of constraints. Therefore, linear programming can be defined as a constrained optimization problem Constraint Coefficients -- The coefficients of the constraints' variables are called the input-output coefficients. They indicate the rate at which a given resource is depleted or utilized Capacities -- The capacities or availability of the various resources is usually expressed as some upper or lower limit Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power Simulation Models Special type of modeling tool that imitates reality Involves testing of specific values of decision or uncontrollable variables and observing impacts on output variables Descriptive rather than a normative tool Describes and/or predicts the characteristics of a given system under different circumstances Needed for very complex problems Model-Driven Decision Support Systems, D. J. Power

Advantages of Simulation Theory is easy to understand Model is simple Allow “What - if” questions DSS managers work directly with managers Model is built for one problem, and will only solve the one it was designed for Allows inclusion of real life complexities of problems, simplifications are not needed Model-Driven Decision Support Systems, D. J. Power

Disadvantages of Simulation Optimal solution cannot be guaranteed Constructing a model is slow and costly Solutions are not transferable to other problems Model-Driven Decision Support Systems, D. J. Power

Simulation Methodology Problem definition -- A problem is examined and defined. The analyst should specify why simulation is necessary. The system's boundaries and other such aspects of the problem should be stated Constructing the simulation model -- This step involves gathering the necessary data. In many cases, a flowchart is used to describe the process. Then the model is programmed Testing and validating the method -- The simulation model must accurately imitate the system under study. This involves the process of validation

Simulation Methodology Design the experiments -- Once the model has been validated, the experiment is designed. In this step the analyst determines how long to run the simulation. This step deals with two important and contradictory objectives, maximizing the accuracy of the model and minimizing the cost of developing the model Conducting the experiments -- Conducting the experiment involves issues such as how to generate random numbers, the number of trials or time period for the experiment, and the appropriate presentation of the results Evaluation of the results -- The last step is the evaluation of the results. In addition to statistical tools, managers/analysts may conduct "What If" and sensitivity analyses Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power Types of Simulation Probabilistic -- one or more of the independent variables is conceptualized as a probability distribution of values Time Dependant vs. Time Independent Is the time frame important to your experiment? For example, in waiting line or queuing problems, it is important to know the precise time of arrival so that we can determine if a customer will have to wait or not Visual Simulation Graphic display of computerized results Animation facilitates explanation Model-Driven Decision Support Systems, D. J. Power

Model-Driven Decision Support Systems, D. J. Power Types of Simulation Visual Simulation Graphic display of computerized results Animation facilitates explanation Model-Driven Decision Support Systems, D. J. Power

Modeling Languages and Spreadsheets Models can be developed in a variety of programming languages like Java and C++ and with a wide variety of software packages including spreadsheets and modeling packages. Spreadsheets are commonly used for desktop Model-Driven DSS Model-Driven Decision Support Systems, D. J. Power