Strategic Behavior of Customers and Optimal Control for Batch Service Polling Systems with Priorities

Table 1

The optimal revenue of service provider versus and .

μ 2 /μ 1	5	5.5	6	6.5	7	7.5	8	8.5	9	9.5	10
1	25.81	27.91	30.16	43.09	52.64	59.92	65.69	70.45	74.02	76.49	79.13
1.5	28.26	41.74	57.52	68.09	74.57	80.89	85.03	88.91	91.35	93.93	95.75
2	39.72	60.17	72.38	80.92	86.82	91.71	95.13	97.81	100.61	101.66	103.98
2.5	50.61	70.67	81.46	88.54	93.65	97.93	101.36	103.62	105.71	106.96	109.05
3	60.45	77.88	87.3	93.75	98.6	102.19	105	106.93	109.24	110.85	112.06
3.5	67.23	82.95	91.43	97.09	101.81	105.4	107.61	109.84	110.66	113.32	114.84
4	73.02	86.89	94.5	99.47	104.27	107.43	109.99	111.58	113.83	115.15	116.29
4.5	76.9	90.21	97.19	101.87	106.12	109.02	111.26	113	115.31	116.22	117.96
5	79.97	92.66	99.03	103.85	107.81	110.19	112.54	114.89	115.98	117.73	119.09
5.5	83.09	94.25	100.28	105.43	109.07	111.77	113.91	115.31	117.32	118.68	119.43
6	84.64	95.98	101.67	106.35	109.75	112.64	114.77	116.8	117.96	119.23	120.51