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 | 25 | 28 | 36 | 6.4229 | 6.4127 | 6.3354 | 0.9354 | 0.9143 | 0.7955 | 3.0 | 10 | 13 | 18 | 1.3951 | 1.4544 | 1.5802 | 0.3211 | 0.3173 | 0.3088 | 6.0 | 7 | 9 | 13 | 1.1771 | 1.1963 | 1.2238 | 0.1652 | 0.1647 | 0.1639 | 9.0 | 6 | 8 | 11 | 1.1149 | 1.1244 | 1.1358 | 0.1109 | 0.1108 | 0.1107 | 1 | 0.0 | 14 | 16 | 22 | 2.0525 | 2.0533 | 2.0481 | 0.6062 | 0.5479 | 0.4325 | 3.0 | 8 | 11 | 15 | 1.3040 | 1.3342 | 1.3793 | 0.2650 | 0.2562 | 0.2421 | 6.0 | 6 | 8 | 12 | 1.1656 | 1.1811 | 1.2011 | 0.1561 | 0.1545 | 0.1524 | 9.0 | 6 | 7 | 11 | 1.1137 | 1.1229 | 1.1337 | 0.1099 | 0.1097 | 0.1094 | 100 | 0.0 | 5 | 6 | 10 | 1.1131 | 1.1215 | 1.1305 | 0.1097 | 0.1089 | 0.1082 | 3.0 | 5 | 6 | 10 | 1.1099 | 1.1184 | 1.1273 | 0.1066 | 0.1061 | 0.1056 | 6.0 | 5 | 6 | 10 | 1.1068 | 1.1153 | 1.1243 | 0.1037 | 0.1034 | 0.1031 | 9.0 | 5 | 6 | 10 | 1.1040 | 1.1124 | 1.1214 | 0.1009 | 0.1008 | 0.1008 |
| 0.5 | 0.1 | 0.0 | 25 | 28 | 42 | 6.4099 | 6.5109 | 6.9481 | 0.9579 | 0.9412 | 0.8236 | 0.5 | 21 | 25 | 41 | 4.4283 | 4.5761 | 5.2829 | 0.9062 | 0.8788 | 0.7457 | 1.0 | 17 | 21 | 40 | 2.9028 | 3.1115 | 3.9708 | 0.7716 | 0.7451 | 0.6520 | 1.5 | 15 | 20 | 38 | 2.1227 | 2.3112 | 3.0542 | 0.6121 | 0.5987 | 0.5579 | 1 | 0.0 | 17 | 19 | 38 | 2.7191 | 2.8952 | 3.6542 | 0.7863 | 0.7442 | 0.6270 | 0.5 | 16 | 21 | 38 | 2.3956 | 2.5839 | 3.3851 | 0.7113 | 0.6784 | 0.5949 | 1.0 | 16 | 21 | 38 | 2.1386 | 2.3326 | 3.1440 | 0.6331 | 0.6121 | 0.5616 | 1.5 | 15 | 20 | 38 | 1.9441 | 2.1339 | 2.9316 | 0.5605 | 0.5505 | 0.5280 | 100 | 0.0 | 14 | 18 | 37 | 1.8203 | 2.0117 | 2.8092 | 0.5061 | 0.5049 | 0.5027 | 0.5 | 14 | 20 | 37 | 1.8178 | 2.0080 | 2.8066 | 0.5046 | 0.5037 | 0.5021 | 1.0 | 15 | 20 | 37 | 1.8146 | 2.0055 | 2.8041 | 0.5030 | 0.5025 | 0.5014 | 1.5 | 15 | 20 | 37 | 1.8121 | 2.0030 | 2.8016 | 0.5015 | 0.5012 | 0.5007 |
| 0.9 | 0.1 | 0.0 | 74 | 99 | 246 | 11.2890 | 13.2254 | 28.5672 | 0.9893 | 0.9846 | 0.9509 | 0.3 | 73 | 98 | 253 | 10.0678 | 11.9600 | 27.1965 | 0.9805 | 0.9735 | 0.9350 | 0.6 | 71 | 97 | 260 | 8.7709 | 10.6206 | 25.7831 | 0.9593 | 0.9495 | 0.9139 | 0.9 | 75 | 102 | 265 | 7.4716 | 9.2882 | 24.3478 | 0.9142 | 0.9057 | 0.8880 | 1 | 0.0 | 73 | 96 | 231 | 8.7160 | 10.8465 | 27.2102 | 0.9574 | 0.9479 | 0.9187 | 0.3 | 72 | 96 | 233 | 8.4580 | 10.5880 | 26.9545 | 0.9445 | 0.9361 | 0.9135 | 0.6 | 72 | 96 | 234 | 8.2028 | 10.3341 | 26.7009 | 0.9289 | 0.9228 | 0.9080 | 0.9 | 71 | 95 | 235 | 7.9573 | 10.0868 | 26.4490 | 0.9111 | 0.9080 | 0.9022 | 100 | 0.0 | 81 | 110 | 265 | 7.8679 | 10.0268 | 26.8945 | 0.9013 | 0.9010 | 0.9004 | 0.3 | 81 | 110 | 265 | 7.8651 | 10.0240 | 26.8905 | 0.9010 | 0.9007 | 0.9003 | 0.6 | 81 | 110 | 265 | 7.8623 | 10.0213 | 26.8865 | 0.9006 | 0.9005 | 0.9002 | 0.9 | 81 | 110 | 265 | 7.8596 | 10.0185 | 26.8825 | 0.9003 | 0.9002 | 0.9001 |
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