Suppose a given piece of work can be done at two processors. One at r and another at v. The job can run only at one processor at a time.

r = R1, R2 ... Ri, ...Rn

v = V1, V2,... Vi, ...Vn

There is a time penalty to switch between r and v, which is a constant say k. But I will have to maximize the total work done within x hours.

Xi represents the amount of work done in the ith minute.

I was thinking that comparing the Vi and Ri every minute and then if one is greater than the other by k make a switch. But that won't be optimal.

How can this be approached?

  • $\begingroup$ Welcome to Computer Science! Can you add a url or reference to credit the original source? $\endgroup$ – John L. Dec 4 '18 at 21:39
  • $\begingroup$ @Apass.Jack Unfortunately I don't have either. $\endgroup$ – Pritam Banerjee Dec 4 '18 at 21:41
  • $\begingroup$ If you do not have either, how do you discover or know this problem? Please provide some background. $\endgroup$ – John L. Dec 4 '18 at 21:44
  • $\begingroup$ @Apass.Jack Total time is limited. How can you do all? $\endgroup$ – Pritam Banerjee Dec 4 '18 at 23:08
  • 1
    $\begingroup$ It seems similar to assembly line scheduling DP problem. You can take a look at that problem if it helps. $\endgroup$ – Navjot Singh Dec 5 '18 at 10:09

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