Consider a cutting-stock problem where an unlimited supply of rolls of length 27 is available. Three...

 

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Consider a cutting-stock problem where an unlimited supply of rolls of length 27 is available. Three smaller types of rolls of sizes 7, 9 and 12 are required to be produced to satisfy a demand of 30, 25 and 15 rolls, respectively for each kind. Let us denote (a, b, c) a cutting pattern where a rolls of size 7, b rolls of size 9 and c rolls of size 12 are produced from a roll of length 27, such that 7a +96 + 12c <27. 1. Write the associated master problem (MP) initialized with the cutting patterns (3,0,0), (0, 3, 0), (0,0,2) 2. Write the associated subproblem (SP), assuming that we denote a7, ag, a12 the dual variable associated with the demand constraint associated with every small roll Consider a cutting-stock problem where an unlimited supply of rolls of length 27 is available. Three smaller types of rolls of sizes 7, 9 and 12 are required to be produced to satisfy a demand of 30, 25 and 15 rolls, respectively for each kind. Let us denote (a, b, c) a cutting pattern where a rolls of size 7, b rolls of size 9 and c rolls of size 12 are produced from a roll of length 27, such that 7a +96 + 12c <27. 1. Write the associated master problem (MP) initialized with the cutting patterns (3,0,0), (0, 3, 0), (0,0,2) 2. Write the associated subproblem (SP), assuming that we denote a7, ag, a12 the dual variable associated with the demand constraint associated with every small roll

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1 The associated master problem MP initialized with the cutting patterns 3 0 0 0 3 0 ... View the full answer