IBM E20-0147-0_Linear_Programming_-_Electric-Arc_Furnace_Steelmaking free download

File name E20-0147-0_Linear_Programming_-_Electric-Arc_Furnace_Steelmaking.pdf

Linear Programming- Electric-Arc Furnace Steelmaking Data Processing' Application CONTENTS Introduction . . . . . . . 1 Problem Profile. . . 2 Problem Economics 3 Single- Furnace Model Formulation 3 Input Data Requirements. 4 Example Problem . . . . . . . . . 4 Cost Constraint. . . . . . . . . 8 Charge Material Supply Equations . 9 Specification and Control Constraints 10 Multifurnace Model Formulation . 19 Summary . . . . . . . . . . . 21 Output Reports. . . . . . . . 21 Basis Variables Report 22 Slacks Report. . . . 24 DO. D/J Report . . . . . . . . . 26 Cost Range Report . 27 Summary . . 28 Bibliography. . . . . . . 29 Copies of this arid other IBM publications can be obtained through IBM branch offices. Address comments concerning the contents of this publication to IBM, Technical Publications Department, 112 East Post Road, White Plains, N. Y. 10601 INTRODUCTION The introduction of linear programming (LP) has produced remarkable and diverse benefits in a number of industries. Recent applications of LP techniques by metal producers -- notably to control costs and quality in alloy blending -- suggest a variety of new applications. The purpose of this manual is to demonstrate the application of LP in the production of steel in electric-arc furnaces -- a process which, because it involves complex blending and quality control, is particularly responsive to LP techniques. The immediate and more obvious LP results enable the steel producer to: 1. Minimize the cost of both initial and supplemental furnace charges 2. Minimize and possibly eliminate off-compositions 3. Maintain accurate scrap inventory records 4. Purchase and sell most economically 5. Evaluate plant operating changes 6. Interpret histor