Recent content by mentil

  1. M

    How Can You Minimize Processing Time Across Multiple Plants?

    Thanks! That's actually what I meant. I do think your second way is interesting, but I'm not sure it suits my purpose. This isn't a homework problem, but a sub-problem I needed to look at in order to get to a bigger problem. It helps framing it as a linear programming problem because now...
  2. M

    How Can You Minimize Processing Time Across Multiple Plants?

    I tried the following: Minimize the objective function: max(T) with constraints T>=d_i+r_i*x_i-M*(1-y_i) T>=0 sum(x_i) = total x_i >=0 m*y_i<=x_i T>=0 y_i binary every time I run it through excel solver, however, I get a different solution. Does this formulation look ok? It...
  3. M

    How Can You Minimize Processing Time Across Multiple Plants?

    I believe the constraint M*y>=x works. Thank you for the help!
  4. M

    How Can You Minimize Processing Time Across Multiple Plants?

    Thanks for the thoughtful reply! However, I don't think I can assume x is large enough so that every plant is used (given the specific problem, the actual solution has 1 plant not being used).
  5. M

    How Can You Minimize Processing Time Across Multiple Plants?

    Homework Statement You want to process x units of a product (at y processing plants), minimizing the total time spent processing all the units. Each place y_i has a queue of q_i units ahead of you and a processing rate of r_i units/minute. If you can simultaneously process units at the same...
  6. M

    Converging a Series: Finding the Actual Value Using Integral Approximation

    Homework Statement v=sum of i*(i+1)/((1+y)^i) from i =1 to i=infinity for y > 0 Homework Equations The Attempt at a Solution This isn't a homework question per se (and I'm not that interested in the actual number solution), but how would one go about solving v? Are there any...
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