Sizing is a common mechanical operation used in industries that handle solids, for example, mining, iron & steel,

ferroalloy production, etc. Sizing may involve unit operations such as crushing, screening and grinding, and is used

to bring solids to desired size fractions for efficient downstream operations.

In iron ore mining, sizing is used to crush and separate the mined ore into different size fractions that are used in

different processing units. Mined iron ore in the size range $100-200mm$ is fed to a jaw crusher that crushes the feed

to less than $40$ mm $.$ This crushed material is then fed to a series of vibrating screens. The first vibrating screen

separates the material into two size fractions, one greater than $10$ mm and the other less than $10$ mm $.$ The oversize

$(>10mm)$ fraction is called 'iron ore lumps' and is sold$/$sent to blast furnaces. The undersize