Minimizing the Total Service Time of Discrete Dynamic Berth Allocation Problem by an Iterated Greedy Heuristic

Table 5

Computational result for new problem set with known optimal solutions.

Size	Instance	GSPP		T^2S*			T^2S* + PR			SARS				IG
		Optimal	(s)	Best objective	(s)	Gap	Best objective	(s)	Gap	Best objective	Average objective	(s)	Gap	Best objective	Average objective	(s)	Gap
	1	1763	11.25	1763	0.25	0.00	1763	0.25	0.00	1763	1763.00	0.04	0.00	1763	1763.00	0.03	0.00
	2	2090	22.59	2090	0.26	0.00	2090	0.26	0.00	2090	2090.00	0.03	0.00	2090	2090.00	0.05	0.00
	3	2186	13.68	2186	0.26	0.00	2186	0.26	0.00	2186	2186.00	0.04	0.00	2186	2186.00	0.06	0.00
	4	1538	12.98	1538	0.28	0.00	1538	0.28	0.00	1538	1538.00	0.03	0.00	1538	1538.00	0.02	0.00
	5	2114	16.12	2114	0.22	0.00	2114	0.22	0.00	2114	2114.00	0.05	0.00	2114	2114.00	0.01	0.00
	6	2185	36.97	2187	0.34	0.09	2185	0.34	0.00	2185	2185.00	0.05	0.00	2185	2185.00	0.09	0.00
	7	1845	23.29	1847	0.34	0.11	1845	0.34	0.00	1845	1845.00	0.31	0.00	1845	1845.60	0.89	0.00
	8	1271	9.77	1271	0.31	0.00	1271	0.31	0.00	1271	1271.00	0.14	0.00	1271	1271.00	0.13	0.00
	9	1595	28.25	1595	0.25	0.00	1595	0.25	0.00	1595	1595.00	0.06	0.00	1595	1595.00	0.09	0.00
	10	2195	9.64	2195	0.29	0.00	2195	0.29	0.00	2195	2195.00	0.05	0.00	2195	2195.00	0.05	0.00
	1	1149	17.93	1149	0.47	0.00	1149	0.47	0.00	1149	1149.53	1.02	0.00	1149	1149.27	0.37	0.00
	2	1475	30.59	1476	0.47	0.07	1475	0.47	0.00	1475	1475.53	1.08	0.00	1475	1475.00	0.33	0.00
	3	1542	26.43	1542	0.50	0.00	1542	0.50	0.00	1542	1542.00	0.12	0.00	1542	1542.00	0.07	0.00
	4	1075	15.72	1075	0.48	0.00	1075	0.48	0.00	1075	1075.00	0.14	0.00	1075	1075.00	0.12	0.00
	5	1463	23.60	1463	0.40	0.00	1463	0.40	0.00	1463	1463.00	0.43	0.00	1463	1463.00	0.03	0.00
	6	1580	30.84	1581	0.48	0.06	1580	0.48	0.00	1580	1580.00	0.22	0.00	1580	1580.00	0.19	0.00
	7	1276	19.39	1276	0.46	0.00	1276	0.46	0.00	1276	1276.00	0.25	0.00	1276	1276.00	0.15	0.00
	8	870	22.06	870	0.42	0.00	870	0.42	0.00	870	870.00	0.47	0.00	870	870.00	0.16	0.00
	9	1134	22.31	1153	0.50	1.68	1134	0.50	0.00	1134	1136.80	0.90	0.00	1134	1134.00	0.26	0.00
	10	1527	18.80	1527	0.46	0.00	1527	0.46	0.00	1527	1527.00	0.10	0.00	1527	1527.00	0.07	0.00
	1	2301	41.51	2307	0.90	0.26	2303	0.90	0.09	2301	2302.87	1.09	0.00	2301	2301.27	1.01	0.00
	2	2829	59.89	2835	1.09	0.21	2834	1.09	0.18	2829	2829.00	0.40	0.00	2829	2829.27	0.97	0.00
	3	2880	99.20	2880	0.50	0.00	2880	0.50	0.00	2880	2880.67	1.75	0.00	2880	2880.17	1.33	0.00
	4	2001	39.78	2001	0.84	0.00	2001	0.84	0.00	2001	2001.03	0.64	0.00	2001	2002.33	1.24	0.00
	5	2815	74.14	2815	0.76	0.00	2815	0.76	0.00	2815	2816.03	1.00	0.00	2815	2820.63	1.59	0.00
	6	2934	66.46	2934	0.87	0.00	2934	0.87	0.00	2934	2934.00	0.22	0.00	2934	2934.00	0.20	0.00
	7	2632	40.97	2632	0.79	0.00	2632	0.79	0.00	2632	2632.07	0.64	0.00	2632	2632.00	0.48	0.00
	8	1835	40.11	1836	1.28	0.05	1835	1.28	0.00	1835	1835.40	1.18	0.00	1835	1835.00	0.93	0.00
	9	2086	47.70	2095	1.07	0.43	2089	1.07	0.14	2086	2089.57	1.54	0.00	2086	2089.37	1.22	0.00
	10	2962	52.28	2964	1.06	0.07	2962	1.06	0.00	2962	2962.03	0.49	0.00	2962	2962.00	0.20	0.00