Operation Research: Handwritten Notes

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Name Operation Research Handwritten Notes
Author Unknown
Pages 284 pages
Format PDF
Size 11.3 MB

KEYWORDS & SUMMARY:

  • Operation research 1
  • Mathematical model 1
  • Objective function 2
  • Decision variables 2
  • Solution space 2
  • Optimum solution 2
  • Standard form 2
  • Conversion of maximization to minimization 3
  • Linear programming formulation and graphical solution 4
  • Simplex method (or the general solution technique) 22
  • Algorithm 22
  • Optimality condition 23
  • Feasibility condition 23
  • Degeneracy 23
  • Alternative optima 27
  • Unbounded solution 30
  • Infeasible solution 32
  • The simplex method 39
  • The simplex algorithm 39
  • Artificial starting solution 46
  • The M method (M technique method) 46
  • Method of penalty 47
  • Another simple algorithm of the M-technique 48
  • The two- phase method 49
  • Differences between M-method and two-phase method 51
  • Duality and sensitivity analysis 66
  • Relationship between the optimal primal 73
  • Solution of primal 75
  • Dual simplex method 85
  • Feasibility condition (dual feasibility condition) 86
  • Economic interpretation of duality 90
  • Economic interpretation of dual condition 92
  • The transportation problems 97
  • Transportation model 97
  • Balancing of the transportation model 100
  • The transportation algorithm or techniques 102
  • Determination of the starting solution 102
  • North-west corner method 104
  • Least cost method 106
  • Vogel approximation method (VAM) 108
  • Method of multipliers 116
  • Optimality condition 118
  • Loop 119
  • Transportation model 163
  • Simplex explanation of the Hungarian method 164
  • Feasibility condition 168
  • The transship model 178
  • Network models 188
  • Network minimization 188
  • Minimal spanning tree algorithm 188
  • A cyclic network 201
  • The shortest-route problem viewed as a transshipment model 214
  • Integer linear programming (ILP) 221
  • Method of integer programming 221
  • The fractional (pure integer) algorithm 221
  • Algebraic development of cuts 222
  • Main steps (fractional cut method) 225
  • The mixed algorithm 234
  • Branch and bound method 240
  • Main steps (fractional cut method)
  • The mixed algorithm 265
  • Branch and bound method 271

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