# Operation Research: Handwritten Notes

Operation research (OR) is a scientific field that enhances organisational decision-making and problem-solving via the application of mathematical and analytical techniques. The management and administration of many processes, including military, governmental, economic, and industrial ones, include the use of scientific principles. OR is carried out by a group of professionals from various linked fields, depending on the issue at hand.

These are the best handwritten old notes but old is gold.

Name | Operation Research Handwritten Notes |
---|---|

Provider | Unknown |

Pages | 284 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 11.3 MB |

### Contents & 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