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 | 22 | 25 | 33 | 4.1401 | 4.1552 | 4.1155 | 0.4953 | 0.4909 | 0.4452 | 1.0 | 10 | 13 | 18 | 1.8312 | 1.8449 | 1.8849 | 0.0376 | 0.0606 | 0.1064 | 2.0 | 8 | 10 | 13 | 1.4721 | 1.4743 | 1.4805 | 0.0050 | 0.0133 | 0.0294 | 3.0 | 7 | 8 | 11 | 1.3301 | 1.3307 | 1.3326 | 0.0013 | 0.0049 | 0.0117 | 1 | 0.0 | 9 | 12 | 16 | 1.6336 | 1.6535 | 1.6721 | 0.0203 | 0.0421 | 0.0730 | 1.0 | 7 | 10 | 13 | 1.4723 | 1.4792 | 1.4875 | 0.0056 | 0.0163 | 0.0343 | 2.0 | 7 | 9 | 12 | 1.3787 | 1.3811 | 1.3847 | 0.0022 | 0.0078 | 0.0181 | 3.0 | 6 | 8 | 11 | 1.3165 | 1.3172 | 1.3189 | 0.0011 | 0.0044 | 0.0107 | 100 | 0.0 | 6 | 7 | 11 | 1.3037 | 1.3051 | 1.3062 | 0.0009 | 0.0039 | 0.0096 | 1.0 | 6 | 7 | 11 | 1.3026 | 1.3039 | 1.3049 | 0.0009 | 0.0039 | 0.0095 | 2.0 | 6 | 7 | 11 | 1.3015 | 1.3027 | 1.3036 | 0.0009 | 0.0038 | 0.0093 | 3.0 | 6 | 7 | 11 | 1.3005 | 1.3016 | 1.3023 | 0.0009 | 0.0037 | 0.0092 |
| 0.5 | 0.1 | 0.0 | 36 | 41 | 58 | 6.1463 | 6.5540 | 8.1834 | 0.7544 | 0.7535 | 0.7094 | 0.2 | 26 | 30 | 48 | 4.4310 | 4.7592 | 6.1809 | 0.5820 | 0.5952 | 0.6062 | 0.4 | 20 | 24 | 43 | 3.3472 | 3.5687 | 4.6449 | 0.3792 | 0.4116 | 0.4878 | 0.6 | 16 | 20 | 39 | 2.7521 | 2.8807 | 3.5933 | 0.2308 | 0.2694 | 0.3736 | 1 | 0.0 | 17 | 19 | 37 | 3.1041 | 3.2843 | 4.0155 | 0.3311 | 0.3663 | 0.4414 | 0.2 | 16 | 19 | 37 | 2.9373 | 3.0968 | 3.8141 | 0.2832 | 0.3217 | 0.4116 | 0.4 | 17 | 21 | 37 | 2.7875 | 2.9234 | 3.6269 | 0.2421 | 0.2821 | 0.3825 | 0.6 | 16 | 21 | 37 | 2.6620 | 2.7814 | 3.4534 | 0.2074 | 0.2473 | 0.3544 | 100 | 0.0 | 16 | 19 | 37 | 2.6304 | 2.7513 | 3.4302 | 0.1989 | 0.2385 | 0.3468 | 0.2 | 16 | 21 | 37 | 2.6286 | 2.7437 | 3.4280 | 0.1984 | 0.2380 | 0.3463 | 0.4 | 16 | 21 | 37 | 2.6267 | 2.7418 | 3.4257 | 0.1978 | 0.2375 | 0.3459 | 0.6 | 16 | 21 | 37 | 2.6249 | 2.7399 | 3.4234 | 0.1973 | 0.2370 | 0.3455 |
| 0.9 | 0.1 | 0.0 | 78 | 100 | 224 | 14.0668 | 16.3843 | 33.6740 | 0.9618 | 0.9582 | 0.9403 | 0.1 | 75 | 98 | 224 | 12.7466 | 14.9913 | 31.9614 | 0.9424 | 0.9390 | 0.9251 | 0.2 | 73 | 95 | 229 | 11.3801 | 13.5544 | 30.1618 | 0.9089 | 0.9077 | 0.9052 | 0.3 | 71 | 93 | 234 | 9.9871 | 12.0651 | 28.2970 | 0.8541 | 0.8593 | 0.8796 | 1 | 0.0 | 76 | 101 | 239 | 9.7276 | 11.7783 | 28.3667 | 0.8612 | 0.8643 | 0.8806 | 0.1 | 76 | 100 | 238 | 9.5526 | 11.6045 | 28.1630 | 0.8466 | 0.8523 | 0.8758 | 0.2 | 75 | 100 | 237 | 9.3873 | 11.4217 | 27.9598 | 0.8312 | 0.8397 | 0.8708 | 0.3 | 75 | 99 | 237 | 9.2075 | 11.2421 | 27.7421 | 0.8149 | 0.8265 | 0.8656 | 100 | 0.0 | 82 | 111 | 269 | 9.1219 | 11.1422 | 29.3701 | 0.8041 | 0.8176 | 0.8622 | 0.1 | 82 | 111 | 269 | 9.1194 | 11.1398 | 29.3614 | 0.8038 | 0.8175 | 0.8621 | 0.2 | 82 | 111 | 269 | 9.1169 | 11.1375 | 29.3527 | 0.8036 | 0.8173 | 0.8621 | 0.3 | 82 | 111 | 269 | 9.1144 | 11.1351 | 29.3440 | 0.8033 | 0.8171 | 0.8620 |
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