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OPERATION RESEARCH II

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Learning Outcomes

  • formulate and solve problems as networks and graphs.
  • develop linear programming (LP) models for shortest path, maximum flow, minimal spanning tree, critical path, minimum cost flow, and transshipment problems.
  • solve the problems using special solution algorithms.
  • use CPM and PERT techniques, to plan, schedule, and control project activities.
  • construct linear integer programming models and discuss the solution techniques.
  • formulate pure, mixed, and binary integer programming models.
  • solve the integer programming models using branch-and-bound method.
  • explain why heuristics are used to solve some large-sacle integer programming problems.
  • set up decision models and use some solution methods for nonlinear optimization problems.
  • analyse the general nonlinear programming problems.
  • formulate the nonlinear programming models.
  • use some solution methods for solving the nonlinear optimization problems.
  • explain the lagrange multipliers.
  • show the Kuhn-Tucker optimality conditions.
  • propose the best strategy using decision making methods under uncertainty and game theory.
  • select the best strategy on the basis of decision criteria under risk.
  • select the best strategy on the basis of decision criteria under the uncertainty.
  • determine the best choice using decision tree.
  • solve the zero-sum two- person games.
  • solve multi-level decision problems using dynamic programming method.
  • explain fundamentals of dynamic programming.
  • use deterministic and stochastic dynamic programming approaches.
  • use computer softwares to solve decision models.
  • use LINGO, GAMS and EXCEL for integer and nonlinear programming problems.
  • use WINQSB, QM and TORA to solve network models and games.
  • prepare a team-based project about heuristics /meta-heuristics algorithms used to solve integer or nonlinear programming problems.
  • gather, analyze and compose information obtained from various sources.
  • develop a computer program for heuristic to demonstrate how the algorithm work.
  • report a formal proposal written considering project writing guide.
  • make an oral presentation of the project in the class environment.
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