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Overview of the Operations Research Modeling Approach. Chapter 2: Hillier and Lieberman Dr. Hurley’s AGB 328 Course. Terms to Know.

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overview of the operations research modeling approach

Overview of the Operations Research Modeling Approach

Chapter 2: Hillier and Lieberman

Dr. Hurley’s AGB 328 Course

terms to know
Terms to Know
  • Data Mining, Decision Variables, Objective Function, Constraints, Parameters, Sensitivity Analysis, Linear Programming Model, Overall Measure of Performance, Algorithm, Optimal, Solution, Satisficing, Heuristic Procedures, Suboptimal Solution, Metaheuristics, Postoptimality Analysis, What-if Analysis, Sensitivity Analysis, Sensitive Parameter, Model Validation, Retrospective Test, Decision Support System
major phases in operation research studies
Major Phases in Operation Research Studies
  • Define the Problem
  • Gather Relevant Data
  • Develop a Mathematical Model
  • Create or Utilize a Procedure to Generate Solutions
  • Test and Refine the Model and Procedures as Needed
  • Apply the Model as Needed by Management
  • Assist in Implementing Chosen Solution
problem definition
Problem Definition
  • This phase can take considerable time.
  • Much effort needs to go into understanding the problem at hand.
  • You need to take the vague and convoluted and make it confined and precise.
  • There is a need to understand the appropriate objectives that need to be met.
data gathering
Data Gathering
  • Data gathering can take a considerable amount of time.
  • The data might come from primary or secondary sources.
  • The data may be known with near certainty or could be best guesses (“soft” data).
  • Time may be spent conditioning the data.
  • There may be very little data or potentially too much.
mathematical modeling
Mathematical Modeling
  • A mathematical model is an abstraction of a real world problem which is based on a set of assumptions for the purposes of tractability.
  • The main components are:
    • The Objective Function
    • The Decision Variables
    • The Constraints
  • It should be noted that when building models, you should start small.
create or utilize a procedure to generate solutions
Create or Utilize a Procedure to Generate Solutions
  • Many algorithms exist for developing solutions for particular mathematical models.
  • Usually these algorithms need computers to find the solution in a reasonable time period.
testing and refining the model
Testing and Refining the Model
  • Most if not all models start out with having issues (bugs).
  • Your model should be tested to see if the solutions make sense.
    • The model may need many levels of refinement to be usable and worthwhile.
    • It is useful to test a model out with known solutions.
  • Bugs should be identified and fixed.