Please comment here if you need additional information, I will provide them.įor moderators: the tags linear-goal-programming and model-definition could be useful here but I don't have the reputation to create them. Linear programming (LP) is an application of linear algebra in which the central problem is to maximize or minimize a linear function (of perhaps many variables). That is, I am having problems with the syntax and the built-in functions. I am requesting help to express this informal model into a Mathematica Goal Programming model. Moreover, the number of hours here is casual, for testing.
So, if it's maximize problem, we need to minimize the quantity -c.x subject to the constraints m.x0.
Please don't comment about the usefulness of this model: it is not an objective of the course. LinearProgramming c,m,b finds a vector x that minimizes the quantity c.x subject to the constraints m.x>b and x>0. The threshold is the average number of hours that a bug needs in order to be solved. It is an activation function that returns 1 if the number of hours exceeds a threshold.
This is the informal model definition:ĭon't worry about the function. Class 4 : Programming in Mathematica Part 2. I am trying to define a little model for allocation of resources in maintenance phase of a software project. If k > n, (n k) is the factorial of a negative integer and hence infinite if we use the gamma function. I am having difficulties to define a Goal Programming model.įirst because I am really scarce in math :) Second, because what I found in the official documentation (look for "Multiobjective Optimization: Goal Programming") is poor. Simplex algorithm is taught at universities in framework of different academic courses, for example Linear Programming, Mathematical Programming or Opera. Wolfram Language & System Documentation Center.I am evaluating Wolfram Mathematica 8 for a university course project. "LinearProgramming." Wolfram Language & System Documentation Center. On Rohns relative sensitivity coefficient of the optimal value for a linear-fractional program. Wolfram Research (1991), LinearProgramming, Wolfram Language function, (updated 2007). Cite this as: Wolfram Research (1991), LinearProgramming, Wolfram Language function, (updated 2007).
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