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Precalculus Mathematics Homework Help
Integer programming model (alternating constraints)
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[QUOTE="Ray Vickson, post: 5883496, member: 330118"] If we let ##M_i## get bigger, the feasible region[B] for the mixed IP problem[/B] remains exactly the same, but the feasible region of the LP relaxation gets larger. If it gets a bit larger that will not matter very much, but making it much, much larger that it needs to be is definitely not advisable. Generally, there is a tradeoff when modelling such situations: should we spend a lot of time and effort getting nearly the best ##M_i## possible, or should we just go with "reasonable" ##M_i## and then get on with the problem-solving process? Of course, generally speaking, the problem solving process is shorter and more efficient if we use smaller ##M_i##, but it is hard to know the exact tradeoff. Remember: in industrial-sized problems like yours we may have hundreds of thousands of variables and tens to hundreds of thousands of constraints, so what looks simple enough in a 2-variable, 3-constraint example might be pretty horrible in a realistic scenario. [/QUOTE]
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Precalculus Mathematics Homework Help
Integer programming model (alternating constraints)
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