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Unformatted text preview: voir at the end of any month t. For the six‐month design period, there will be 6 months of operation, say t 1, 2, , 6 . Let U designate the largest volume among the 6 months, and let L designate the smallest volume among the 6 months. Then (U L) is the range (Note: U L 0 ), and the function Z Min (U L) minimizes the range. Effectively, this minimization simultaneously pushes down the maximum value (U) while pushing up the minimum value (L). Note that the constraints St U , t 1, 2, , 6 in combination with Z Min (U L) will result in U taking on the maximum value of St , t 1, 2, , 6 (since Z Min (U L) will try to make U as small as possible, but at least as big as the largest value of St ). Similarly, the constraints St L , t 1, 2, , 6 in combination with Z Min (U L) will result in L taking on the minimum value of St , t 1, 2, , 6 (since Z Min (U L) will try to make L as large as possible, but not greater than the smallest value of St ). 2. Limiting the deviation of flow in the stream from the target interval, F X i E . Consider the deviation from the upper limit, i.e., X i E...
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- Spring '14