Research Article
Optimizing Safety Stock Levels in Modular Production Systems Using Component Commonality and Group Technology Philosophy: A Study Based on Simulation
Table 7
Application 1: demands, components used, and initial and final inventories.
| Period (month) | Demands | Case | Case | Initial inventory | Components used | Final inventory | Initial inventory | Components used | Final inventory | FP1 | FP2 | c1 | c2 | c3 | c4 | c1 | c2 | c3 | c4 | c1 | c2 | c3 | c4 | c1 | c2 | c3 | c4 | c1 | c2 | c3 | c4 | c1 | c2 | c3 | c4 |
| 1 | 724 | 1062 | 10000 | 9500 | 10500 | 9000 | 1786 | 2510 | 1786 | 1062 | 8214 | 6990 | 8714 | 7938 | 10000 | 9500 | 10500 | 9000 | 1786 | 2510 | 1786 | 1062 | 8214 | 6990 | 8714 | 7938 | 2 | 772 | 1076 | 8214 | 6990 | 8714 | 7938 | 1848 | 2620 | 1848 | 1076 | 6366 | 4370 | 6866 | 6862 | 8214 | 6990 | 8714 | 7938 | 1848 | 2620 | 1848 | 1076 | 6366 | 4370 | 6866 | 6862 | 3 | 800 | 1197 | 6366 | 4370 | 6866 | 6862 | 1997 | 2797 | 1997 | 1197 | 4369 | 1573 | 4869 | 5665 | 6366 | 4370 | 6866 | 6862 | 1997 | 2797 | 1997 | 1197 | 4369 | 1573 | 4869 | 5665 | 4 | 740 | 1062 | 4369 | 9573 | 4869 | 5665 | 1802 | 2542 | 1802 | 1062 | 2567 | 7031 | 3067 | 4603 | 4369 | 9573 | 4869 | 5665 | 1802 | 2542 | 1802 | 1062 | 2567 | 7031 | 3067 | 4603 | 5 | 728 | 1189 | 2567 | 7031 | 3067 | 4603 | 1917 | 2645 | 1917 | 1189 | 650 | 4386 | 1150 | 3414 | 2567 | 7031 | 3067 | 4603 | 1917 | 2645 | 1917 | 1189 | 650 | 4386 | 1150 | 3414 | 6 | 770 | 1142 | 7650 | 4386 | 8150 | 3414 | 1912 | 2682 | 1912 | 1142 | 5738 | 1704 | 6238 | 2272 | 7650 | 4386 | 8150 | 3414 | 1912 | 2682 | 1912 | 1142 | 5738 | 1704 | 6238 | 2272 | 7 | 718 | 1012 | 5738 | 9704 | 6238 | 2272 | 1730 | 2448 | 1730 | 1012 | 4008 | 7256 | 4508 | 1260 | 5738 | 9704 | 6238 | 2272 | 1730 | 2448 | 1730 | 1012 | 4008 | 7256 | 4508 | 1260 | 8 | 737 | 1289 | 4008 | 7256 | 4508 | 1260 | 2026 | 2763 | 2026 | 1289 | 1982 | 4493 | 2482 | 0 | 4008 | 7256 | 4508 | 1260 | 2026 | 2763 | 2026 | 1289 | 1982 | 4493 | 2482 | 0 | 9 | 794 | 1220 | 8982 | 4493 | 2482 | 4000 | 2014 | 2808 | 2014 | 1220 | 6968 | 1685 | 468 | 2780 | 1982 | 4493 | 2482 | 4000 | 2014 | 2808 | 2014 | 1220 | 0 | 1685 | 468 | 2780 | 10 | 683 | 1014 | 6968 | 9685 | 7468 | 2780 | 1697 | 2380 | 1697 | 1014 | 5271 | 7305 | 5771 | 1766 | 7000 | 9685 | 7468 | 2780 | 1697 | 2380 | 1697 | 1014 | 5303 | 7305 | 5771 | 1766 | 11 | 630 | 1292 | 5271 | 7305 | 5771 | 1766 | 1922 | 2552 | 1922 | 1292 | 3349 | 4753 | 3849 | 474 | 5303 | 7305 | 5771 | 1766 | 1922 | 2552 | 1922 | 1292 | 3381 | 4753 | 3849 | 474 | 12 | 673 | 1281 | 3349 | 4753 | 3849 | 4474 | 1954 | 2627 | 1954 | 1281 | 1395 | 2126 | 1895 | 3193 | 3381 | 4753 | 3849 | 4474 | 1954 | 2627 | 1954 | 1281 | 1427 | 2126 | 1895 | 3193 | 13 | 585 | 1017 | 8395 | 10126 | 8895 | 3193 | 1602 | 2187 | 1602 | 1017 | 6793 | 7939 | 7293 | 2176 | 8427 | 10126 | 8895 | 3193 | 1602 | 2187 | 1602 | 1017 | 6825 | 7939 | 7293 | 2176 | 14 | 671 | 1090 | 6793 | 7939 | 7293 | 2176 | 1761 | 2432 | 1761 | 1090 | 5032 | 5507 | 5532 | 1086 | 6825 | 7939 | 7293 | 2176 | 1761 | 2432 | 1761 | 1090 | 5064 | 5507 | 5532 | 1086 | 15 | 677 | 1186 | 5032 | 5507 | 5532 | 5086 | 1863 | 2540 | 1863 | 1186 | 3169 | 2967 | 3669 | 3900 | 5064 | 5507 | 5532 | 5086 | 1863 | 2540 | 1863 | 1186 | 3201 | 2967 | 3669 | 3900 | 16 | 691 | 1117 | 3169 | 2967 | 3669 | 3900 | 1808 | 2499 | 1808 | 1117 | 1361 | 468 | 1861 | 2783 | 3201 | 2967 | 3669 | 3900 | 1808 | 2499 | 1808 | 1117 | 1393 | 468 | 1861 | 2783 | 17 | 614 | 1093 | 8361 | 8468 | 8861 | 2783 | 1707 | 2321 | 1707 | 1093 | 6654 | 6147 | 7154 | 1690 | 8393 | 8468 | 8861 | 2783 | 1707 | 2321 | 1707 | 1093 | 6686 | 6147 | 7154 | 1690 | 18 | 543 | 1123 | 6654 | 6147 | 7154 | 1690 | 1666 | 2209 | 1666 | 1123 | 4988 | 3938 | 5488 | 567 | 6686 | 6147 | 7154 | 1690 | 1666 | 2209 | 1666 | 1123 | 5020 | 3938 | 5488 | 567 | 19 | 626 | 981 | 4988 | 3938 | 5488 | 4567 | 1607 | 2233 | 1607 | 981 | 3381 | 1705 | 3881 | 3586 | 5020 | 3938 | 5488 | 4567 | 1607 | 2233 | 1607 | 981 | 3413 | 1705 | 3881 | 3586 | 20 | 610 | 1288 | 3381 | 9705 | 3881 | 3586 | 1898 | 2508 | 1898 | 1288 | 1483 | 7197 | 1983 | 2298 | 3413 | 9705 | 3881 | 3586 | 1898 | 2508 | 1898 | 1288 | 1515 | 7197 | 1983 | 2298 | 21 | 691 | 1135 | 8483 | 7197 | 8983 | 2298 | 1826 | 2517 | 1826 | 1135 | 6657 | 4680 | 7157 | 1163 | 8515 | 7197 | 1983 | 2298 | 1826 | 2517 | 1826 | 1135 | 6689 | 4680 | 157 | 1163 | 22 | 773 | 1103 | 6657 | 4680 | 7157 | 5163 | 1876 | 2649 | 1876 | 1103 | 4781 | 2031 | 5281 | 4060 | 6689 | 4680 | 7157 | 5163 | 1876 | 2649 | 1876 | 1103 | 4813 | 2031 | 5281 | 4060 | 23 | 616 | 1230 | 4781 | 10031 | 5281 | 4060 | 1846 | 2462 | 1846 | 1230 | 2935 | 7569 | 3435 | 2830 | 4813 | 10031 | 5281 | 4060 | 1846 | 2462 | 1846 | 1230 | 2967 | 7569 | 3435 | 2830 | 24 | 631 | 1006 | 2935 | 7569 | 3435 | 2830 | 1637 | 2268 | 1637 | 1006 | 1298 | 5301 | 1798 | 1824 | 2967 | 7569 | 3435 | 2830 | 1637 | 2268 | 1637 | 1006 | 1330 | 5301 | 1798 | 1824 | 25 | 705 | 972 | 8298 | 5301 | 8798 | 1824 | 1677 | 2382 | 1677 | 972 | 6621 | 2919 | 7121 | 852 | 8330 | 5301 | 8798 | 1824 | 1677 | 2382 | 1677 | 972 | 6653 | 2919 | 7121 | 852 | 26 | 664 | 1207 | 6621 | 2919 | 7121 | 4852 | 1871 | 2535 | 1871 | 1207 | 4750 | 384 | 5250 | 3645 | 6653 | 2919 | 7121 | 4852 | 1871 | 2535 | 1871 | 1207 | 4782 | 384 | 5250 | 3645 | 27 | 729 | 1116 | 4750 | 8384 | 5250 | 3645 | 1845 | 2574 | 1845 | 1116 | 2905 | 5810 | 3405 | 2529 | 4782 | 8384 | 5250 | 3645 | 1845 | 2574 | 1845 | 1116 | 2937 | 5810 | 3405 | 2529 | 28 | 772 | 1181 | 2905 | 5810 | 3405 | 2529 | 1953 | 2725 | 1953 | 1181 | 952 | 3085 | 1452 | 1348 | 2937 | 5810 | 3405 | 2529 | 1953 | 2725 | 1953 | 1181 | 984 | 3085 | 1452 | 1348 | 29 | 582 | 1032 | 7952 | 3085 | 8452 | 1348 | 1614 | 2196 | 1614 | 1032 | 6338 | 889 | 6838 | 316 | 7984 | 3085 | 8452 | 1348 | 1614 | 2196 | 1614 | 1032 | 6370 | 889 | 6838 | 316 | 30 | 766 | 1105 | 6338 | 8889 | 6838 | 4316 | 1871 | 2637 | 1871 | 1105 | 4467 | 6252 | 4967 | 3211 | 6370 | 8889 | 6838 | 4316 | 1871 | 2637 | 1871 | 1105 | 4499 | 6252 | 4967 | 3211 | 31 | 622 | 1120 | 4467 | 6252 | 4967 | 3211 | 1742 | 2364 | 1742 | 1120 | 2725 | 3888 | 3225 | 2091 | 4499 | 6252 | 4967 | 3211 | 1742 | 2364 | 1742 | 1120 | 2757 | 3888 | 3225 | 2091 | 32 | 705 | 1255 | 2725 | 3888 | 3225 | 2091 | 1960 | 2665 | 1960 | 1255 | 765 | 1223 | 1265 | 836 | 2757 | 3888 | 3225 | 2091 | 1960 | 2665 | 1960 | 1255 | 797 | 1223 | 1265 | 836 | 33 | 679 | 1024 | 7765 | 9223 | 8265 | 4836 | 1703 | 2382 | 1703 | 1024 | 6062 | 6841 | 6562 | 3812 | 7797 | 9223 | 8265 | 4836 | 1703 | 2382 | 1703 | 1024 | 6094 | 6841 | 6562 | 3812 | 34 | 709 | 1059 | 6062 | 6841 | 6562 | 3812 | 1768 | 2477 | 1768 | 1059 | 4294 | 4364 | 4794 | 2753 | 6094 | 6841 | 6562 | 3812 | 1768 | 2477 | 1768 | 1059 | 4326 | 4364 | 4794 | 2753 | 35 | 728 | 1156 | 4294 | 4364 | 4794 | 2753 | 1884 | 2612 | 1884 | 1156 | 2410 | 1752 | 2910 | 1597 | 4326 | 4364 | 4794 | 2753 | 1884 | 2612 | 1884 | 1156 | 2442 | 1752 | 2910 | 1597 | 36 | 671 | 1217 | 2410 | 9752 | 2910 | 1597 | 1888 | 2559 | 1888 | 1217 | 522 | 7193 | 1022 | 380 | 2442 | 9752 | 2910 | 1597 | 1888 | 2559 | 1888 | 1217 | 554 | 7193 | 1022 | 380 |
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