IBM E20-0156-0 Linear Programming - Ice Cream Blending free download

File name E20-0156-0_Linear_Programming_-_Ice_Cream_Blending.pdf

Linear Programming-Ice Cream Blending Data Processing Application CONTENTS Introduction . . . . . . . . . 1 Problem Profile and Economics 2 Model Formulation - Single Vat. 2 Input Data Requirements . . . . . . 3 Example Problem . . . . . . . . . . . . 3 Cost Constraint (Objective Function) . . . . 7 Recipe Specification Constraints . . . . 7 Yield Constraint . . . . . . . . . . . . . . . 8 Availability Constraints . . . . . . 9 Model Formulation - Multiple Vat. 9 Capacity Constraint 11 Output Reports. . . . . . 12 Basis Variables Report 13 Check Report . . . . . . . . . . . 14 DO. D/J Report . . 14 Cost Range- Report 16 Summary . . . . . . 17 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 application of linear programming (LP) in ice cream blending. Linear programming is becoming more and more important as a decision-making tool in a variety of industries - notably, alloy blending, feed mixing, cotton blending, and food blending. For some time it has been standard in the petroleum industry, where it is used in all phases of refinery scheduling and control as well as in refinery expansion studies. Whenever a process involves the blending of a variety of materials within specification constraints, the application of linear programming techniques enables the producer to determine rapidly the optimal, or least-cost, blend. The usefulness of LP increases as the number of materials and the complexity of the industrial pr