Research Article
Phase-Type Arrivals and Impatient Customers in Multiserver Queue with Multiple Working Vacations
| | | | | | | Erl | Exp | Hyp | Erl | Exp | Hyp | Erl | Exp | Hyp |
| 0.1 | 0.1 | 0.0 | 20 | 23 | 32 | 3.2118 | 3.2976 | 3.4094 | 0.0679 | 0.0887 | 0.1405 | 0.5 | 11 | 13 | 18 | 2.1893 | 2.2065 | 2.2152 | 0.0008 | 0.0034 | 0.0159 | 1.0 | 9 | 11 | 14 | 1.8365 | 1.8407 | 1.8401 | 0.0000 | 0.0003 | 0.0024 | 1.5 | 8 | 9 | 12 | 1.6458 | 1.6464 | 1.6462 | 0.0000 | 0.0001 | 0.0005 | 1 | 0.0 | 8 | 11 | 15 | 1.7766 | 1.7958 | 1.8184 | 0.0000 | 0.0005 | 0.0035 | 0.5 | 8 | 10 | 14 | 1.7120 | 1.7219 | 1.7334 | 0.0000 | 0.0002 | 0.0016 | 1.0 | 8 | 9 | 13 | 1.6587 | 1.6631 | 1.6680 | 0.0000 | 0.0001 | 0.0008 | 1.5 | 8 | 9 | 12 | 1.6136 | 1.6145 | 1.6155 | 0.0000 | 0.0000 | 0.0004 | 100 | 0.0 | 8 | 8 | 12 | 1.6022 | 1.6050 | 1.6039 | 0.0000 | 0.0000 | 0.0004 | 0.5 | 8 | 8 | 12 | 1.6016 | 1.6041 | 1.6028 | 0.0000 | 0.0000 | 0.0004 | 1.0 | 8 | 8 | 12 | 1.6009 | 1.6032 | 1.6016 | 0.0000 | 0.0000 | 0.0004 | 1.5 | 8 | 8 | 12 | 1.6002 | 1.6024 | 1.6005 | 0.0000 | 0.0000 | 0.0004 |
| 0.5 | 0.1 | 0.0 | 30 | 34 | 52 | 6.3770 | 6.8052 | 8.4877 | 0.4072 | 0.4526 | 0.5456 | 0.1 | 24 | 30 | 46 | 5.3485 | 5.6091 | 6.9287 | 0.2546 | 0.3073 | 0.4411 | 0.2 | 21 | 25 | 41 | 4.6431 | 4.8028 | 5.7143 | 0.1445 | 0.1924 | 0.3376 | 0.3 | 18 | 22 | 39 | 4.1697 | 4.2487 | 4.8192 | 0.0797 | 0.1170 | 0.2476 | 1 | 0.0 | 18 | 20 | 39 | 4.5180 | 4.6593 | 5.1256 | 0.1208 | 0.1617 | 0.2889 | 0.1 | 18 | 20 | 39 | 4.3618 | 4.4869 | 4.9560 | 0.1007 | 0.1399 | 0.2679 | 0.2 | 19 | 23 | 38 | 4.2119 | 4.2803 | 4.8001 | 0.0837 | 0.1208 | 0.2477 | 0.3 | 18 | 22 | 38 | 4.0862 | 4.1494 | 4.6449 | 0.0696 | 0.1042 | 0.2284 | 100 | 0.0 | 17 | 20 | 38 | 4.0659 | 4.1500 | 4.6956 | 0.0662 | 0.1001 | 0.2233 | 0.1 | 17 | 20 | 38 | 4.0633 | 4.1474 | 4.6923 | 0.0659 | 0.0998 | 0.2230 | 0.2 | 18 | 23 | 38 | 4.0514 | 4.1099 | 4.6889 | 0.0657 | 0.0995 | 0.2226 | 0.3 | 18 | 23 | 38 | 4.0489 | 4.1074 | 4.6856 | 0.0655 | 0.0993 | 0.2223 |
| 0.9 | 0.1 | 0.00 | 78 | 101 | 229 | 15.1572 | 17.3703 | 35.4516 | 0.9045 | 0.9054 | 0.9082 | 0.05 | 76 | 99 | 227 | 14.2268 | 16.3514 | 34.0044 | 0.8719 | 0.8759 | 0.8903 | 0.10 | 75 | 98 | 225 | 13.1999 | 15.2452 | 32.4807 | 0.8265 | 0.8360 | 0.8684 | 0.15 | 73 | 96 | 222 | 12.1491 | 14.0835 | 30.9017 | 0.7663 | 0.7840 | 0.8418 | 1 | 0.00 | 79 | 105 | 246 | 12.0928 | 13.9233 | 31.2097 | 0.7748 | 0.7881 | 0.8391 | 0.05 | 79 | 104 | 245 | 11.9039 | 13.7614 | 30.9647 | 0.7595 | 0.7758 | 0.8343 | 0.10 | 78 | 103 | 245 | 11.7512 | 13.5946 | 30.6805 | 0.7436 | 0.7629 | 0.8292 | 0.15 | 78 | 103 | 244 | 11.5535 | 13.4025 | 30.4553 | 0.7270 | 0.7496 | 0.8241 | 100 | 0.00 | 84 | 114 | 272 | 11.5312 | 13.3305 | 35.6288 | 0.7160 | 0.7407 | 0.8207 | 0.05 | 84 | 114 | 272 | 11.5273 | 13.3271 | 35.6049 | 0.7157 | 0.7405 | 0.8206 | 0.10 | 84 | 114 | 272 | 11.5235 | 13.3237 | 35.5810 | 0.7155 | 0.7403 | 0.8205 | 0.15 | 84 | 113 | 272 | 11.5196 | 13.3446 | 35.5572 | 0.7152 | 0.7401 | 0.8204 |
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