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in this video we discuss the column generation method for the chitin stock problem lets start by introducing the cutting stock problem in this problem we are given stock rolls or width w and we need to determine how to cut these stock rolls so that we produce bi units of width wi for i between 1 and m while minimizing the total number of stock rolls that we are using as an example consider the situation when we have 15 foot boards which we need to cut into smaller pieces and we have the following requirements so we need 84 foot boards 56 foot boards and 107 foot boards so in this case w capital is equal to 15 so this is the width of the long boards and there are three different types of shorter boards that we need to produce so m is equal to three and w is are given by four six and seven so w one is four w two is six w is 7 and bis are given by 80 50 and 100 respectively so there are many different patterns according to which we can cut the board and we refer to these as the cut pat
