Shruti Speak's

It was mid-night. I was done crying and cursing myself for opting here to get some “adventure” in final year of my graduation. Before me were lying  Saapadu and a mug of coffee, both completely untouched. Finally I decided to pack my bags and return to my hometown, my people...Delhi. I was in  Karumathampatti , a suburb of Coimbatore city in the state of Chennai. My summer internship was in BHEL and was scheduled in May. I was given an option to join the company’s zonal office which was in my hometown but I chose to go to some place far, where I would be able to discover myself, my shortcomings, someplace where I can live free and breathe free. Actually it had been so long since last I stepped out of Delhi so I found it to be best opportunity to flee from mind-numbing daily routine. Scorching heat of summers welcomed me from airport. I was ready for my voyage but the only problem I was able to see till now was language problem. South Indian cuisine was something I cheri...

It was mid-night. I was done crying and cursing myself for opting here to get some “adventure” in final year of my graduation. Before me were lying  Saapadu and a mug of coffee, both completely untouched. Finally I decided to pack my bags and return to my hometown, my people...Delhi. I was in  Karumathampatti , a suburb of Coimbatore city in the state of Chennai. My summer internship was in BHEL and was scheduled in May. I was given an option to join the company’s zonal office which was in my hometown but I chose to go to some place far, where I would be able to discover myself, my shortcomings, someplace where I can live free and breathe free. Actually it had been so long since last I stepped out of Delhi so I found it to be best opportunity to flee from mind-numbing daily routine. Scorching heat of summers welcomed me from airport. I was ready for my voyage but the only problem I was able to see till now was language problem. South Indian cuisine was something I cheris...

Big-M Method The Big-M method of handling instances with artificial  variables is the “commonsense approach”. Essentially, the notion is to make the artificial variables, through their coefficients in the objective function, so costly or unprofitable that any feasible solution to the real problem would be preferred, unless the original instance possessed no feasible solutions at all. But this means that we need to assign, in the objective function, coefficients to the artificial variables that are either very small (maximization problem) or very large (minimization problem); whatever this value,let us call it Big M . In fact, this notion is an old trick in optimization in general; we  simply associate a penalty value with variables that we do not want to be part of an ultimate solution(unless such an outcome is unavoidable). Indeed, the penalty is so costly that unless any of the  respective variables' inclusion is warranted algorithmically, such variables will ...

Simplex method is an iterative procedure that allows to improve the solution at each step. This procedure is finished when it isn't possible to improve the solution. Simplex method is based on the following property: if objective function, F, doesn't take the max value in the A vertex, then there is an edge starting at A, along which the value of the function grows. You should take care about Simplex method only works with "≤" type inequality and independent coefficients higher or equal to zero, and you will have to standardize the restrictions for the algorithm. Case after this procedure "≥" o "=" type restrictions appear (or not modified) you should try other ways, being Two-Phase Simplex method the best choice. Model of the problem is prepared to adapt it to the Simplex Method This is the standard way of the model: Objective function: c 1 ·x 1  + c 2 ·x 2  + ... + c n ·x n Subject to: a 11 ·x 1 ...

What is Optimization? Optimization problem: Maximizing or minimizing some function relative to some set, often representing a range of choices available in a certain situation. The function allows comparison of the different choices for determining which might be “best.” Common applications: Minimal cost, maximal profit, best approximation, optimal design, optimal management or control, variational principles. Definitions of Operational Research ·          “OR is concerned with scientifically deciding how to best design and operate man-machine system usually requiring the allocation of scare resources.” – Operations Research Society, America ·          “OR is essentially a collection of mathematical techniques and tools which in conjunction with system approach, are applied to solve practical decision problems of an economic or engineering nature’’. – Daellenbach and George ·  ...