Operations Research

Operations Research

1. Basis

   • Optimization
   • Feasible solutions
   • Mathematical modeling
   • Iterative algorithmics

2. Designed to

   • Optimize specific objective criterion
   • Subject to a set of constraints

3. Organized in

   • Max or min objective function
     • Subject to
       • Constraints

4. Simple models

   • Tickets purchasing problem
     • Finite alternatives
   • Garden problem
     • Components
       • Alternatives
       • Restrictions
       • Objetive criterion

5. Solutions

   • Feasible
     • Satisfies all constraints
       • Nonnegative variables
         • Infinite feasible solutions
   • Optimal
     • Yields the best value
   • Suboptimal
     • Represents the real system

6. Techniques

   • Linear programming
     • Linear objetive
     • Constrint functions
   • Integer programming
     • Integer values
   • Dynamic programming
     • Model can be descomposed
   • Network programming
     • Modeled as network
   • Nonlinear programming
     • Nonlinear objective
   • Types
   • Determined by
     • Algorithms
     • Heuristics or metaheuristics
       • Rules of thumb

7. Complex models

   • Queuing
     • Probability and Stochastic models
     • Mathematical models
     • Specific assumptions
   • Simulation
     • Mesaures by imitating
     • Flexible
     • Analyze any queuing situation

8. María Fernanda Alvarez Castro

   • A00344391
   • Referencias
     • A, Hamdy. (2017). Operations Research: An Introduction, 10th Edition.

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