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Fabrication and assembly operations, Part IV: Linear programming in production planning

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By a Dantzig and Wolfe decomposition, followed by an application of a column generating technique, a problem originally calling for simplex computations on an (I + 5KT)(I + 5KT) matrix (and for the investigation of scalar products with columns as numerous as schedules) is reduced to a problem calling for simplex computations on a (5KT + 1)(5KT + I) matrix and for a string of I associated dynamic programming calculations.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

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IBM Systems Journal  (Volume:4 ,  Issue: 2 )