Linear and Integer Programming

Origins and fundamentals and modeling of Operational Research problems. Linear Programming. Simplex method. Duality. Dual and primal-dual simplex method. Sensitivity analysis. Transport problem and applications. Introduction to the entire schedule. Modeling problems for optimization in various contexts including administration, production, logistics, environment, resource allocation, etc.

Basic Information

Workload
60 hours
Requirements
Numerical Linear Algebra

Mandatory: 

  • TAHA, Hamdy A; Operations Research; 8th. Edition; São Paulo; Pearson Prentice Hall, 2008, 359p.
  • Hillier, F.S; Lieberman, G. Introduction to Operations Research. Bookman, 2013.
  • Emerson Colin. "Operations Research: 170 applications in strategy, finance, logistics, production, marketing and sales" LTC.

Complementary: 

  • Wayne L. Winston; Operations Research, Applications and Algorithms.
  • ARENALES, Marcos; ARMENTANO, Vinicius; MORABITO, Reinaldo; YANASSE, Horácio; Operations Research for Engineering Courses; Rio de Janeiro: Editora Campus (Elsevier), 2008. 526p.
  • Ackoff, Russell Lincoln. Fundamentals of Operations Research.
  • Bertsimas D., Tsitsiklis J.N., Introduction to Linear Optimization, Dynamic Ideas, Athena Scientific, 1997.
  • Weintraub, A., Romero, C., Bjørndal, T., Epstein, R. (Eds.), “Handbook of Operations Research in Natural Resources” Springer.