Browse Prior Art Database

# Batch Size Algorithm

IP.com Disclosure Number: IPCOM000101291D
Original Publication Date: 1990-Jul-01
Included in the Prior Art Database: 2005-Mar-16
Document File: 3 page(s) / 98K

IBM

## Related People

Schantz, HG: AUTHOR

## Abstract

This article describes an algorithm for batching items into job lots in a manufacturing line. First, the Batch Size Algorithm will be presented, then a specific application will be described, and finally, the application of the algorithm to other areas will be discussed.

This text was extracted from an ASCII text file.
This is the abbreviated version, containing approximately 52% of the total text.

Batch Size Algorithm

into job lots in a manufacturing line.  First, the Batch Size
Algorithm will be presented, then a specific application will be
described, and finally, the application of the algorithm to other
areas will be discussed.

The Batch Size Algorithm assumes some absolute maximum batch
size (MAX), and a lower preferred batch size (PREF). The algorithm's
three formulas provide the number of MAX sized batches, the number of
PREF sized batches, and the number of pieces in the odd lot, if any.
The results will satisfy the following three conditions:
1)   In no case are more lots released than the minimum number
possible given the absolute maximum batch size.
2)   Given condition (1) above, the number of PREF sized lots will be
maximized.
3)   With increasing number of items to be batched, batch size
variation will converge to the range from PREF to MAX.
Let:
x    = the number of items to be batched;
MAX  = the absolute maximum number of items allowed in a batch;
PREF = the preferred number of items in a batch;
where 2 < (PREF + 1) < MAX.
Define three functions:

(Image Omitted)

where MOD(x, y) is the modulus function and returns
the remainder of (x/y).
Then:
Number of MAX sized batches:
NMAX  = (f(x) + ABS(f(x));
2
Number of PREF sized batches:
NPREF = (g(x) + ABS(g(x)) + (h(x) - ABS(h(x));
2                   2
Number of pieces in the odd lot:
NODD  = x - MAX * (NMAX) - PREF * (NPREF)

The Batch Size Algorithm was created for use with a pinch-point
tool.  Under current release procedures, 50 items/batch is the
maximum batch size.  These 50-item batches create delays in an area
of the line where one set of extended process time tools has a
maximum capacity of 40 pieces.  For instance, if 102 items were to be
released currently, they would be batched 50-50-2.  The two 50-piece
jobs would have to be split, either under utilizing two tools at the
same time, or doubling the lot cycle time through the area by under
utilizing th...