IBM E20-0127-0 Linear Programming - Aluminum Alloy Blending free download

File name E20-0127-0_Linear_Programming_-_Aluminum_Alloy_Blending.pdf

Linear Programming- Aluminum Alloy Blending Data Processing Application CONTENTS Introduction . . . . . 1 Post-Optimal Output . 14 Problem Profile . . . 2 DO. D/J . 14 Problem Economics 2 COST. R . 14 Historical Conditions 2 Applying the Problem Answers 14 Problem Complexity 2 Furnace Charge s 15 The Manual Approach 3 Quality Control 15 LP Model Formulation . . . 3 Inventory. 16 Input Data Requirements 3 Purchasing and Cost Analysis. 16 Single-Furnace Problem ... 3 Product Research and Pricing 16 Activities (Matrix Columns) 4 Management Studies . 16 Constraints (Matrix Rows) . 4 Summary. 16 Summary . . . . . . . . 7 Postoptimal Operations and Multifurnace Model . . . . . 7 General Procedures 17 Special Constraints and Formulations 8 Operating Modes 17 Example 1 - Equivalence 8 Ingot Constraints . 17 Example 2 - Substitution 11 Inventory Constraints 18 Problem Answers . . . . 13 Frequency of Solution 18 Optimal Solution. . . . 13 Continuous Pouring 18 Other Optimal Output . 13 Copies of this and 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 This manual explores the use of linear programming and the often astounding economical advantages it (LP) in the aluminum alloying industry. It discusses imparts, the technique as an everyday management the nature of the industry, the decisions involved in aid remains in its infancy. There are two reasons producing an alloy, the mechanics of alloying, and for this. the techniques and advantages of applying LP to the First, there has been both ignorance and fear industry. Particular emphasis is placed on explaining regarding the mathematical aspects of LP problem how linear programming can be used to: formulation. Many people have felt that a staff of