Research Article
Incorporating Variability in Lean Manufacturing: A Fuzzy Value Stream Mapping Approach
Table 2
Data recorded for the value stream.
| ā | Raw material inventory (days) | Cutting (s) | Buffer 1 (days) | Prefitting (s) | Buffer 2 (days) | Computer stitching (s) | Buffer 3 (days) | Manual stitching (s) | Buffer 4 (days) | Assembly (s) | Buffer 5 (days) |
| (1) | 1.9 | 23 | 0.6 | 30 | 1.5 | 310 | 0.6 | 324 | 2.5 | 511 | 3.4 | (2) | 1.8 | 20 | 1.2 | 28 | 1.7 | 317 | 0.5 | 299 | 2.6 | 496 | 2 | (3) | 2.2 | 21 | 0.4 | 27 | 1.3 | 325 | 0.4 | 273 | 1.8 | 531 | 2.9 | (4) | 2 | 19 | 0.6 | 32 | 1.5 | 322 | 0.3 | 300 | 1.9 | 509 | 3 | (5) | 1.9 | 22 | 0.9 | 29 | 1.6 | 319 | 0.1 | 310 | 0.5 | 493 | 2.2 | (6) | 2.3 | 20 | 0.6 | 31 | 1.4 | 333 | 0.4 | 305 | 1.1 | 505 | 4 | (7) | 2.1 | 19 | 0.6 | 31 | 1.6 | 331 | 0.5 | 311 | 0.7 | 508 | 1.8 | (8) | 2.1 | 18 | 0.5 | 33 | 1.6 | 321 | 0.5 | 295 | 1.7 | 528 | 4.2 | (9) | 1.5 | 19 | 0.7 | 30 | 1.2 | 320 | 0.4 | 315 | 0.5 | 504 | 1.9 | (10) | 2 | 22 | 0.9 | 30 | 1.4 | 322 | 0.4 | 306 | 3.5 | 547 | 1.8 | (11) | 1.9 | 21 | 1.1 | 31 | 1.4 | 319 | 0.6 | 298 | 2.4 | 522 | 2.6 | (12) | 2.4 | 20 | 0.6 | 30 | 1.4 | 315 | 0.5 | 307 | 3 | 520 | 3.1 | (13) | 2 | 19 | 0.3 | 30 | 1.4 | 328 | 0.5 | 291 | 2.2 | 503 | 0.5 | (14) | 1.2 | 22 | 0.8 | 31 | 1.4 | 323 | 0.2 | 292 | 1.2 | 525 | 0.7 | (15) | 2 | 21 | 1 | 32 | 1.4 | 303 | 0 | 287 | 1.2 | 514 | 1.5 | (16) | 2.2 | 16 | 0.7 | 27 | 1.7 | 314 | 0.3 | 303 | 2.4 | 530 | 1.1 | (17) | 2.5 | 20 | 0.9 | 33 | 1.3 | 321 | 0.2 | 279 | 0.5 | 515 | 2.6 | (18) | 1.5 | 19 | 0.7 | 31 | 1.6 | 327 | 0.4 | 271 | 1.7 | 494 | 2 | (19) | 2.1 | 21 | 1.1 | 27 | 1.6 | 315 | 0.5 | 299 | 1.8 | 506 | 1.2 | (20) | 2.2 | 20 | 0.9 | 32 | 1.5 | 315 | 0.6 | 296 | 1 | 512 | 2 | (21) | 1.5 | 23 | 0.6 | 33 | 1.5 | 323 | 0.2 | 300 | 0.5 | 492 | 3.4 | (22) | 2.5 | 20 | 0.8 | 31 | 1.2 | 324 | 0.7 | 311 | 0.5 | 506 | 1.9 | (23) | 1.7 | 21 | 1 | 29 | 1.6 | 329 | 0.4 | 297 | 1.5 | 495 | 2.5 | (24) | 2 | 22 | 1 | 31 | 1.6 | 327 | 0.7 | 318 | 1.7 | 514 | 2.1 | (25) | 2.4 | 20 | 0.8 | 28 | 1.2 | 315 | 0.4 | 293 | 1.3 | 518 | 2.4 | (26) | 2.2 | 20 | 0.8 | 31 | 1.5 | 314 | 0.2 | 305 | 1.2 | 536 | 2.6 | (27) | 2.6 | 20 | 1.2 | 31 | 1.5 | 318 | 0.3 | 295 | 2.3 | 531 | 3.5 | (28) | 2.3 | 20 | 0.7 | 28 | 1.6 | 326 | 0.5 | 295 | 1.2 | 519 | 3 | (29) | 2 | 20 | 0.9 | 31 | 1.4 | 325 | 0.6 | 309 | 2.1 | 492 | 1.9 | (30) | 1.7 | 21 | 0.9 | 30 | 1.6 | 314 | 0.5 | 288 | 1.9 | 496 | 2.7 | (31) | 1.8 | 19 | 0.8 | 29 | 1.4 | 317 | 0.7 | 294 | 1.9 | 518 | 3.5 | (32) | 2.3 | 17 | 1 | 31 | 1.2 | 318 | 0.6 | 327 | 2.3 | 518 | 2.8 | (33) | 1.9 | 21 | 1 | 30 | 1.5 | 333 | 0.5 | 277 | 1.8 | 527 | 1.3 | (34) | 2.6 | 20 | 1 | 29 | 1.4 | 317 | 0.4 | 303 | 1.8 | 489 | 2 | (35) | 1.6 | 24 | 0.6 | 29 | 1.6 | 323 | 0.4 | 300 | 3.2 | 500 | 2.4 | (36) | 2.1 | 22 | 1.1 | 30 | 1.6 | 318 | 0.4 | 280 | 2 | 505 | 2.1 | (37) | 2.1 | 17 | 1.2 | 29 | 1.3 | 326 | 0.3 | 283 | 4.4 | 518 | 3.4 | (38) | 1.9 | 20 | 0.6 | 27 | 1.3 | 326 | 0.2 | 296 | 2.5 | 521 | 2.7 | (39) | 2 | 19 | 0.7 | 31 | 1.4 | 323 | 0.5 | 289 | 3.3 | 510 | 2.4 | (40) | 1.5 | 19 | 0.6 | 30 | 1.5 | 310 | 0.5 | 290 | 2.7 | 493 | 1.4 | (41) | 2 | 19 | 0.9 | 31 | 1.3 | 327 | 0.2 | 314 | 2.6 | 502 | 1.6 | (42) | 2.2 | 18 | 0.9 | 32 | 1.5 | 313 | 0.5 | 296 | 1.6 | 487 | 0.8 | (43) | 2 | 22 | 0.6 | 32 | 1.6 | 308 | 0.5 | 298 | 3 | 523 | 1.5 | (44) | 2.1 | 19 | 0.6 | 30 | 1.6 | 325 | 0.7 | 286 | 2.4 | 506 | 3 | (45) | 2.5 | 19 | 0.3 | 30 | 1.3 | 328 | 0.6 | 307 | 3.2 | 514 | 1.6 | (46) | 2.2 | 19 | 0.7 | 29 | 1.6 | 314 | 0.6 | 287 | 2.7 | 510 | 0.5 | (47) | 2 | 18 | 0.5 | 29 | 1.7 | 333 | 0.3 | 289 | 2 | 510 | 1.4 | (48) | 2 | 17 | 0.9 | 28 | 1.4 | 318 | 0.4 | 297 | 1.9 | 520 | 1.7 | (49) | 2 | 22 | 1.4 | 30 | 2.0 | 311 | 0.4 | 308 | 3.1 | 519 | 4.5 | (50) | 2.1 | 21 | 0.8 | 29 | 1.5 | 316 | 0.4 | 306 | 3.7 | 506 | 2.7 | (51) | 2 | 20 | 0.7 | 32 | 1.5 | 322 | 0.6 | 294 | 1 | 502 | 2 | (52) | 1.7 | 20 | 0.8 | 32 | 1.4 | 322 | 0.3 | 304 | 2.4 | 505 | 2.1 | (53) | 2.3 | 21 | 0.8 | 31 | 1.7 | 322 | 0.7 | 292 | 1.3 | 507 | 2.2 | (54) | 1.9 | 20 | 1 | 31 | 1.6 | 327 | 0.1 | 307 | 2.5 | 508 | 2.1 | (55) | 1.5 | 21 | 1 | 34 | 1.4 | 320 | 0.2 | 301 | 2.4 | 488 | 2.2 | (56) | 1.6 | 21 | 1 | 28 | 1.5 | 317 | 0.4 | 275 | 1.4 | 519 | 2.7 | (57) | 2 | 17 | 0.8 | 31 | 1.7 | 319 | 0.7 | 319 | 1.3 | 502 | 2.5 | (58) | 2.1 | 17 | 0.9 | 30 | 1.7 | 323 | 0.3 | 286 | 3 | 506 | 1.7 | (59) | 2 | 19 | 0.7 | 29 | 1.7 | 320 | 0.7 | 299 | 2.4 | 530 | 1.5 | (60) | 1.8 | 18 | 0.8 | 30 | 1.6 | 311 | 0.6 | 304 | 1.1 | 494 | 2.8 | (61) | 2.3 | 19 | 0.9 | 31 | 1.5 | 315 | 0.4 | 286 | 0.9 | 499 | 2.4 | (62) | 1.7 | 17 | 0.6 | 28 | 1.4 | 327 | 0.5 | 309 | 2.4 | 516 | 1.7 | (63) | 1.6 | 18 | 0.9 | 29 | 1.6 | 320 | 0.3 | 285 | 2.5 | 494 | 2.3 | (64) | 2.2 | 18 | 0.6 | 27 | 1.5 | 329 | 0.4 | 297 | 1.1 | 508 | 3.3 | (65) | 1.8 | 20 | 0.8 | 31 | 1.5 | 310 | 0.6 | 288 | 1.5 | 521 | 2.3 | (66) | 2.1 | 22 | 0.9 | 29 | 1.5 | 325 | 0.3 | 305 | 1.2 | 516 | 1.1 | (67) | 1.9 | 17 | 0.3 | 29 | 1.4 | 320 | 0.3 | 293 | 1.6 | 506 | 2.7 | (68) | 2.1 | 19 | 0.8 | 29 | 1.3 | 320 | 0.3 | 309 | 1.3 | 516 | 1.8 | (69) | 2 | 17 | 0.5 | 28 | 1.3 | 326 | 0.4 | 294 | 1.9 | 505 | 1.4 | (70) | 2 | 17 | 1.2 | 31 | 1.7 | 328 | 0.3 | 289 | 2.5 | 509 | 1 | (71) | 1.9 | 19 | 0.8 | 28 | 1.3 | 311 | 0.2 | 298 | 1.1 | 505 | 2.8 | (72) | 1.8 | 21 | 0.7 | 30 | 1.1 | 322 | 0.7 | 290 | 2.8 | 518 | 1.3 | (73) | 2.4 | 22 | 0.7 | 29 | 1.6 | 324 | 0.2 | 284 | 1.2 | 509 | 2.3 | (74) | 2.5 | 21 | 0.6 | 30 | 1.3 | 323 | 0.5 | 313 | 2.9 | 531 | 1.9 | (75) | 2.3 | 19 | 0.5 | 28 | 1.5 | 310 | 0.4 | 283 | 0.9 | 516 | 1.8 | (76) | 1.2 | 18 | 0.8 | 28 | 1.5 | 323 | 0.4 | 315 | 1.9 | 506 | 1.5 | (77) | 2.2 | 19 | 0.8 | 30 | 1.4 | 323 | 0.4 | 303 | 1.9 | 489 | 1.4 | (78) | 2 | 23 | 1.4 | 30 | 1.4 | 326 | 0.7 | 317 | 2.2 | 525 | 2 | (79) | 2.6 | 22 | 0.7 | 27 | 1.8 | 324 | 0.5 | 290 | 1.6 | 522 | 2.1 | (80) | 2.1 | 21 | 1.2 | 33 | 1.7 | 320 | 0.5 | 290 | 0.8 | 540 | 1.2 | (81) | 2 | 19 | 1 | 29 | 1.7 | 326 | 0.5 | 296 | 1.7 | 522 | 3.1 | (82) | 2.4 | 21 | 1 | 32 | 1.3 | 325 | 0.5 | 290 | 2.8 | 505 | 1.2 | (83) | 2 | 21 | 0.8 | 29 | 1.4 | 325 | 0.4 | 292 | 2.4 | 516 | 1.4 | (84) | 1.7 | 19 | 0.4 | 29 | 1.5 | 320 | 0.6 | 296 | 0.7 | 511 | 4.2 | (85) | 1.8 | 18 | 1.1 | 28 | 1.5 | 316 | 0.5 | 285 | 0.8 | 515 | 1.1 | (86) | 2 | 19 | 0.7 | 29 | 1.6 | 315 | 0.3 | 300 | 0.6 | 516 | 1.9 | (87) | 1.9 | 24 | 1.1 | 30 | 1.3 | 312 | 0.4 | 301 | 2.3 | 501 | 1.2 | (88) | 1.5 | 23 | 0.7 | 32 | 1.6 | 316 | 0.2 | 312 | 3 | 519 | 2.2 | (89) | 1.3 | 24 | 0.9 | 33 | 1.5 | 327 | 0.7 | 306 | 0.5 | 485 | 0.9 | (90) | 1.9 | 20 | 0.7 | 30 | 1.4 | 334 | 0.3 | 289 | 2.8 | 493 | 3.4 | (91) | 2 | 19 | 0.8 | 32 | 1.6 | 316 | 0.4 | 315 | 1.4 | 514 | 2.3 | (92) | 2.2 | 23 | 0.8 | 30 | 1.6 | 316 | 0.4 | 288 | 1.4 | 524 | 2.2 | (93) | 2.7 | 18 | 0.9 | 29 | 1.4 | 323 | 0.5 | 304 | 2.3 | 491 | 2.8 | (94) | 1.9 | 18 | 0.3 | 31 | 1.2 | 325 | 0.5 | 292 | 2.4 | 525 | 3.5 | (95) | 1.9 | 16 | 1 | 31 | 1.5 | 316 | 0.2 | 297 | 1.1 | 496 | 1.4 | (96) | 2 | 18 | 0.3 | 29 | 1.6 | 319 | 0.7 | 303 | 3.2 | 509 | 2.2 | (97) | 2.2 | 24 | 0.8 | 32 | 1.5 | 319 | 0 | 295 | 1.1 | 517 | 2.1 | (98) | 1.4 | 17 | 0.6 | 32 | 1.4 | 333 | 0.8 | 318 | 2.2 | 508 | 2.9 | (99) | 2.5 | 18 | 0.8 | 32 | 1.6 | 318 | 0 | 301 | 3.1 | 494 | 2.4 | (100) | 2.1 | 21 | 1 | 30 | 1.8 | 311 | 0.6 | 308 | 1.9 | 517 | 1.7 | Mean | 2.01 | 19.84 | 0.80 | 30.05 | 1.49 | 320.60 | 0.43 | 298.06 | 1.91 | 510.58 | 2.18 |
|
|