# Operation Research: Handwritten Notes

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

Author | Unknown |

Pages | 284 pages |

Format | |

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

### Download or view online

### Notes of other subjects

- Advance Analysis by Ms. Iqra Liaqat
- Advanced Analysis: Handwritten Notes
- Affine and Euclidean Geometry by Shahzad Idress
- Algebra II by Syed Sheraz Asghar
- Complex Analysis (Easy Notes of Complex Analysis)
- Complex Analysis (Notes) by Ms. Iqra Liaqat
- Complex Analysis (Quick Review)
- Complex Analysis by M Usman Hamid
- Differential Geometry (Notes) by Ms. Kaushef Salamat
- Differential Geometry by M Usman Hamid
- Differential Geometry by Syed Hassan Waqas
- Differential Geometry: Handwritten Notes
- Fluid Dynamics I by Muhammad Usman Hamid
- Fluid Mechanics I by Dr Rao Muzamal Hussain
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- Functional Analysis by M Usman Hamid and Zeeshan Ahmad
- Functional Analysis by Mr. Tahir Hussain Jaffery
- Functional Analysis by Prof Mumtaz Ahmad
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- Fuzzy Sets Theory by Umar Saeed Bunarai
- General Topology by Raheel Ahmad
- Group Theory by Mr. Muhammad Iftikhar
- Group Theory: Important Definitions and Results
- Groups (Handwritten notes)
- Handwritten Notes of Real Analysis by Asim Marwat
- History of Mathematics by Muhammad Usman Hamid
- Linear Algebra: Important Definitions and Results
- Mathematical Method by Khalid Latif Mir (Solutions)
- Mathematical Method by Muhammad Usman Hamid
- Mathematical Method by Sir Muhammad Awais Aun
- Mathematical Statistics by Ms. Iqra Liaqat
- Mathematical Statistics I by Muzammil Tanveer
- Mathematical Statistics II by Sir Haidar Ali
- Measure Theory by M Usman Hamid & Saima Akram
- Measure Theory Notes by Anwar Khan
- Mechanics (Easy Notes of Mechanics)
- Mechanics by Sir Nouman Siddique
- Mechanics I (Statics) by Dr Babar Ahmad
- Method of Mathematical Physics by Mr. Muhammad Usman Hamid
- Metric Spaces (Notes)
- Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
- Number Theory by Dr Muhammad Umer Shuaib
- Number Theory by Ms. Iqra Liaqat
- Number Theory: Handwritten Notes
- Number Theory: Notes by Anwar Khan
- Numerical Analysis by M Usman Hamid
- Numerical Analysis II
- Operation Research by Sir Haidar Ali
- Operation Research: Handwritten Notes
- Partial Differential Equations
- Partial Differential Equations by M Usman Hamid
- Real Analysis (Notes by Prof. Syed Gul Shah)
- Ring (Notes) by Prof. M. Dabeer Mughal
- Rings & Modules by Ms. Iqra Liaqat
- Rings (Handwritten notes)
- Special Functions by Dr. Muhey-U-Din
- Theoretical Mechanics by Khalid Latif Mir (Solutions)
- Theory of Optimization by Ma'am Iqra Razzaq
- Theory of Relativity & Analytic Dynamics: Handwritten Notes
- Topology and Functional Analysis Solved Paper by Noman Khalid
- Topology Notes by Azhar Hussain
- Topology: Handwritten Notes
- Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)
- Vector Space (Review) by Rashad Wattu
- Vector Spaces (Handwritten notes)