Below is an example of factory performance measures with a WIP = 10. Solve the same problem for WIP=6

Table 2.1 Factory simulation with WIP = 10, four single-machine workstations, and processing times of (1,2,1,1) for one 24-hour day using a time step of one hour, data pairs under each work- station are the number of jobs at the workstation and the elapsed processing time for the job being processed Time WS #1 WS #2 WS #3 WS #4 Cum. Thru. 0 (10,0) (0,0) (0,0) (0,0) 0 1 (9,0) (1,0) (0,0) (0,0) 0 2 (8,0) (2,1) (0,0) (0,0) 0 3 (7,0) (2,0) (1,0) (0,0) 0 4 (6,0) (3,1) (0,0) (1,0) 0 5 (6,0) (3,0) (1,0) (0,0) 1 6 (5,0) (4,1) (0,0) (1,0) 1 7 (5,0) (4,0) (1,0) (0,0) 8 (4,0) (5,1) (0,0) (1,0) 9 (4,0) (5,0) (1,0) (0,0) 10 (3,0) (6,1) (0,0) (1,0) 3 11 (3,0) (6,0) (1,0) (0,0) 12 (2,0) (7,1) (0,0) (1,0) 13 (2,0) (7,0) (1,0) (0,0) 14 (1,0) (8.1) (0,0) (1,0) 15 (1,0) (8,0) (1,0) (0,0) 6 16 (0,0) (9.1) (0,0) (1,0) 17 (1,0) (8,0) (1,0) (0,0) 18 (0,0) (9,1) (0,0) (1,0) 19 (1,0) (8,0) (1,0) (0,0) 20 (0,0) (9,1) (0,0) (1,0) 21 (1,0) (8,0) (1,0) (0,0) 22 (0,0) (9,1) (0,0) (1,0) 9 23 (1,0) (8,0) (1,0) (0,0) 10 24 (0,0) (9,1) (0,0) (1,0) 10 550oauuwwNN Fig. 2.7 Average cycle time for the simple factory model as a function of the constant WIP level 20 15 Cycle Time 10 5 0 2 10 4 6 8 Constant WIP Level 0.6 - Fig. 2.8 Average throughput rate for the simple factory model as a function of the constant WIP level Throughput 0.4 0.2 0 2 1 4 6 1 8 1 10 Constant WIP Level Table 2.2 Factory performance measures as a function of the WIP level WIP Throughput Cycle Time x-factor 1 1 0.2 5 1.0 2 0.4 5 5 1.0 3 0.5 6 1.2 4 0.5 8 1.6 5 0.5 10 2.0 6 0.5 12 2.4 7 0.5 14 2.8 8 0.5 16 3.2 9 0.5 18 3.6 10 0.5 20 4.0 nii Table 2.1 Factory simulation with WIP = 10, four single-machine workstations, and processing times of (1,2,1,1) for one 24-hour day using a time step of one hour, data pairs under each work- station are the number of jobs at the workstation and the elapsed processing time for the job being processed Time WS #1 WS #2 WS #3 WS #4 Cum. Thru. 0 (10,0) (0,0) (0,0) (0,0) 0 1 (9,0) (1,0) (0,0) (0,0) 0 2 (8,0) (2,1) (0,0) (0,0) 0 3 (7,0) (2,0) (1,0) (0,0) 0 4 (6,0) (3,1) (0,0) (1,0) 0 5 (6,0) (3,0) (1,0) (0,0) 1 6 (5,0) (4,1) (0,0) (1,0) 1 7 (5,0) (4,0) (1,0) (0,0) 8 (4,0) (5,1) (0,0) (1,0) 9 (4,0) (5,0) (1,0) (0,0) 10 (3,0) (6,1) (0,0) (1,0) 3 11 (3,0) (6,0) (1,0) (0,0) 12 (2,0) (7,1) (0,0) (1,0) 13 (2,0) (7,0) (1,0) (0,0) 14 (1,0) (8.1) (0,0) (1,0) 15 (1,0) (8,0) (1,0) (0,0) 6 16 (0,0) (9.1) (0,0) (1,0) 17 (1,0) (8,0) (1,0) (0,0) 18 (0,0) (9,1) (0,0) (1,0) 19 (1,0) (8,0) (1,0) (0,0) 20 (0,0) (9,1) (0,0) (1,0) 21 (1,0) (8,0) (1,0) (0,0) 22 (0,0) (9,1) (0,0) (1,0) 9 23 (1,0) (8,0) (1,0) (0,0) 10 24 (0,0) (9,1) (0,0) (1,0) 10 550oauuwwNN Fig. 2.7 Average cycle time for the simple factory model as a function of the constant WIP level 20 15 Cycle Time 10 5 0 2 10 4 6 8 Constant WIP Level 0.6 - Fig. 2.8 Average throughput rate for the simple factory model as a function of the constant WIP level Throughput 0.4 0.2 0 2 1 4 6 1 8 1 10 Constant WIP Level Table 2.2 Factory performance measures as a function of the WIP level WIP Throughput Cycle Time x-factor 1 1 0.2 5 1.0 2 0.4 5 5 1.0 3 0.5 6 1.2 4 0.5 8 1.6 5 0.5 10 2.0 6 0.5 12 2.4 7 0.5 14 2.8 8 0.5 16 3.2 9 0.5 18 3.6 10 0.5 20 4.0 nii