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ABC Analysis (Pareto Analysis)
In ordinary parlance, ABC analysis can be best compared with our class society where the population is categorized into Top, Middle and Lower classes. In the case of inventories also, it has been noticed that out of a large number of items (in a million-tonne capacity steel plant there would be usually about 50,000 items of inventory of various types) that are generally held in stock, some of the items are quite significant whereas the others are not that important. Through ABC plan which is in fact an analytical approach based on common statistical techniques, the relative importance of the various items is established for the purpose of individual scrutiny and subsequent control. Through this technique `VIP' or the `privileged few' and the `trivial many' are distinguished and treated as such.
ABC analysis contemplates to classify all the inventory items in a number of categories, generally in three categories based on their values. Items of high value though small in number are classified as `A' items which would be under a strict control. `C' items symbolize relatively small value items and would be under simple control. Items of moderate value and size are classified as `B' items and would attract reasonable attention of the management. As this plan concentrates attention on the basis of the relative significance of the various items of inventory, it is also termed as `control by importance and exception'. As items are classified in order of their relative importance in terms of value, it is also known as the `proportional value analysis'.
It has been found that normal inventory items in most organizations show the following distribution pattern:
A —5 to 10% of total number of items account for about 70% of the total consumption value. These items may be called "A" items.
B —10 to 20% account for 20% of total consumption value.
C —the remaining large number of items account for the balance of 15% of the consumption value.
The assignment model Consider the situation of assigning m jobs (or workers) to n machines. A job i(= 1,2,3 ...m) when assigned to machine j(= 1,2,3 ...n) acquires a cost Cij.
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