Question 2:

(Question 2 has three parts A, B and C)

A vibratory-bowl feeder orienting system is designed to orient a part that has four orientations

on the bowl track. The first device is a step whose performance can be represented by the

following matrix:

a

b

С

d

b с

d

0

0

a

0.49

0.51

1.0

0

0.28

0.02

0.3 0.4

0.80 0.1 0.1 0

0

0

(20 Marks)

The remaining devices are designed to reject orientations b, c, and d.

Experiments showed that the four possible feeding orientations for the part, have the following

% probabilities:

a: 27%

b: 35%

c: 35%

d: 3%

A. Present the complete orientation system matrix and the initial part distribution

matrix.

B. Determine the feed rate of oriented parts if the input rate to the system is 2.5/sec.

C. estimate the effect on this performance if a further identical step is added to the

beginning of the system.