• University of Illinois, Chicago

• IE 446

 10.1. Use the data in Table 10E.1 to set up short-run X and R charts using the DNOM approach. The nominal dimensions for each part are TA = 100 , TB = 60 , TC = 75 , and TD = 50. Solution: TABLE 10E.1 Data for Exercise 10.1 Sample Number Part Type M1 M2 M3  1 A 10 5 10 2 10 3  2 A 10 1 98 10 0  3 A 10 3 10 0 99  4 A 10 1 10 4 97  5 A 10 6 10 2 10 0  6 B 57 60 59  7 B 61 64 63  8 B 60 58 62  9 C 73 75 77 10 C 78 75 76 11 C 77 75 74 12 C 75 72 79 13 C 74 75 77 14 C 73 76 75 15 D 50 51 49 16 D 46 50 50 17 D 51 46 50 18 D 49 50 53 19 D 50 52 51 20 D 53 51 50 The simplest technique for using and R charts in the short production run situation was introduced by using deviation from nominal instead of the measured variable control chart. This is sometimes called the deviation from normal (DNOM) control chart. Now the X and R chart is plotted Formula Used: For constructing R chart R = xmax - xmin R = R1+R2+..... R20 20 = 76 20 = 3.8 The control Limits are UCL = D4 R = 2.574*3.8 = 9.7812 [ D