Had a good day today. Presented my project finance sheet and it really feels good to see that the effort I put was acclaimed. Hope this flow continues. Long weekend ahead - a national holiday, then a couple of days off for Techkriti and moreover, nothing much to do. I wish I could go somewhere with pals especially to meet old friends... wanna hang out for an evening with them. Lets see when it comes true. A couple of more months are left here - lets put some more effort. But, party hard too because these days are not going to come back.
One more thing - trying to grow my hairs and beard this time, that will be a real fun when I will go home with this bearded look. Oh God! this is the last chance when I can do this.
Lets see, as days unfold something more interesting will come out also :)
Cheers
Gyan
Tuesday, February 15, 2011
Saturday, February 12, 2011
Life as an optimization problem
It’s been really long time that I posted something on this blog. I needed some time to enjoy the things as they are, not un-necessarily thinking about them and commenting on their existence. It is always better to relish the life as it is, isn’t it? Sometimes we think too much about the problems and see them as monster. There are some problems which are really humongous in nature but for all else, there is a simple solution. Just disassociate yourself from that and then try to solve it. Once you are detached from that problem you will feel no pain in killing them. During last couple of years, especially since the day I joined IIT K, I have realized that life is pretty simple if you allow it to be like that. Off course, I am in good health, sound mental state and in positive bent of mind & that’s why I am being able to think like this but, believe me it is something that can be copied by anybody who just wishes to be happy.
We have learnt about optimization problems in mathematics. For those who are unaware, optimization problems aim to achieve maximization of utility value subject to some constraints. This is the core of economics – the all substance. And believe me, if you understand this problem thoroughly you will never be disappointed in your life because by nature itself it tries to maximize the utility function. Life is an optimization problem. Happiness is the utility of it that we need to maximize subjected to some constraints like money, family life, emotional quotient, intellectual satisfaction etc. More formally, an optimization problem A is a quadruple (I, f, m, g), where
I is a set of instances;
given an instance x e(read as epsilon) I , f(x) is the set of feasible solutions;
Given an instance x and a feasible solution y of x, m(x, y) denotes the measure of y, which is usually a positive real.
g is the goal function, and is either min or max.
The goal is then to find for some instance x an optimal solution, that is, a feasible solution y with
m(x,y) = g{m(x,y') | y' e(epsilon) f(x)}
When put formally, it looks like a difficult problem for a non – mathematics person. But, the truth is that we use it so often in our lives. We go to market to buy some apparel for ourselves – we have a limited budget and we try to find out something which suits our budget and pleases us also. So, in a sense we maximize our happiness constrained to our budget. There is nothing new about it – it’s straight forward. But, then how to use it in life? We have so many constraints in life – so many bounding factors. Alas! The complexity of the problem becomes so high that it is not feasible to solve it.
The solution lies in the way we see the situation. Using the concept of Aggregate Planning we can couple the constraint. In a nut shell, instead of looking the finer details look at the bigger picture. Try to combine the constraints. This will help you in reducing the complexity of the problem. In a common man’s life the major constraints are – economics (money), intellect (career), Social (family) and health. One needs to maximize his utility that is happiness subjected to these four factors. Any of these is broken lose and the solution starts falling in infeasible area.
It is always easy to recognize these factors and work accordingly. There is nothing new about it, nothing new about this concept. The only purpose of putting it here is that someday when I will feel low, feel disappointed, frustrated I will come back and refer to this article and will once again march ahead with joy.
Cheers,
Gyan Vikas
We have learnt about optimization problems in mathematics. For those who are unaware, optimization problems aim to achieve maximization of utility value subject to some constraints. This is the core of economics – the all substance. And believe me, if you understand this problem thoroughly you will never be disappointed in your life because by nature itself it tries to maximize the utility function. Life is an optimization problem. Happiness is the utility of it that we need to maximize subjected to some constraints like money, family life, emotional quotient, intellectual satisfaction etc. More formally, an optimization problem A is a quadruple (I, f, m, g), where
I is a set of instances;
given an instance x e(read as epsilon) I , f(x) is the set of feasible solutions;
Given an instance x and a feasible solution y of x, m(x, y) denotes the measure of y, which is usually a positive real.
g is the goal function, and is either min or max.
The goal is then to find for some instance x an optimal solution, that is, a feasible solution y with
m(x,y) = g{m(x,y') | y' e(epsilon) f(x)}
When put formally, it looks like a difficult problem for a non – mathematics person. But, the truth is that we use it so often in our lives. We go to market to buy some apparel for ourselves – we have a limited budget and we try to find out something which suits our budget and pleases us also. So, in a sense we maximize our happiness constrained to our budget. There is nothing new about it – it’s straight forward. But, then how to use it in life? We have so many constraints in life – so many bounding factors. Alas! The complexity of the problem becomes so high that it is not feasible to solve it.
The solution lies in the way we see the situation. Using the concept of Aggregate Planning we can couple the constraint. In a nut shell, instead of looking the finer details look at the bigger picture. Try to combine the constraints. This will help you in reducing the complexity of the problem. In a common man’s life the major constraints are – economics (money), intellect (career), Social (family) and health. One needs to maximize his utility that is happiness subjected to these four factors. Any of these is broken lose and the solution starts falling in infeasible area.
It is always easy to recognize these factors and work accordingly. There is nothing new about it, nothing new about this concept. The only purpose of putting it here is that someday when I will feel low, feel disappointed, frustrated I will come back and refer to this article and will once again march ahead with joy.
Cheers,
Gyan Vikas
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