Is it possible to find individual contribution of some 200 plus problems to the sum of time taken to solve all the problems?

04 October 2017 1 8K Report

I have an excel sheet with the number of instances for a particular problem in a day and the total time taken to solve all of the problems in the day. I have data for the previous 2 year. Is it possible to find the average individual contribution of all the problems?.

Note: Time taken for a problem to be solved might slightly vary on a daily basis.

Gianluca Argentini

Dear Kartik, if I understand correctly your topic, in a single day let N the number of problems solved and ik the number of instances of k-th problem, with k in [1, N]. Every instance i take a time Tik to solve k-th problem. Then Tk = Sum(Tik, i) is the time spent to solve all the instances of the k-th problem, and T = Sum (Tk, k) is the total time spent in a day to solve the N problems. so the average individual contribution (the weight) of the k-th problem is Tk / T. Gianluca

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