A Multiple-Starting-Path Approach to the Resource-Constrained th Elementary Shortest Path Problem

Table 3

Computational result for = 10, 20.

	Lawler		MSP		Gap (%)		Lawler		MSP		Gap (%)
	Time	States	Time	States	Time	States	Time	States	Time	States	Time	States
c101	0.44	485261	0.05	52668	89.0	89.1	0.58	713966	0.05	53603	91.2	92.5
c102	2.14	2515472	0.26	289265	87.6	88.5	3.29	4018492	0.27	291578	91.9	92.7
c103	18.52	18809416	1.28	1035057	93.1	94.5	21.83	23252746	1.30	1043985	94.0	95.5
c104	52.08	47250175	3.95	2386036	92.4	95.0	83.03	80406120	3.85	2355629	95.4	97.1
c105	0.81	990708	0.07	72480	91.9	92.7	1.08	1348727	0.07	74274	93.5	94.5
c106	0.71	888745	0.09	101630	86.8	88.6	1.01	1285671	0.09	102617	90.8	92.0
c107	0.92	1138227	0.09	98226	90.4	91.4	1.42	1791060	0.09	100349	93.5	94.4
c108	2.43	3139895	0.17	188067	93.2	94.0	3.06	4017208	0.17	190044	94.4	95.3
c109	4.53	5763260	0.29	327949	93.6	94.3	6.48	8428446	0.30	334841	95.4	96.0
r101	0.20	220868	0.02	20631	88.8	90.7	0.27	308245	0.02	21113	91.5	93.2
r102	22.09	10044289	2.10	940377	90.5	90.6	28.29	14080025	2.11	943007	92.5	93.3
r103	22.69	16937684	3.46	1560465	84.8	90.8	47.52	34124077	3.42	1559880	92.8	95.4
r104	60.28	38761765	10.12	3519272	83.2	90.9	137.14	67258510	11.46	3478336	91.6	94.8
r105	0.71	804350	0.06	56411	91.3	93.0	1.29	1488830	0.07	57934	94.9	96.1
r106	32.91	11726986	4.37	1569976	86.7	86.6	53.75	20178129	5.00	1652562	90.7	91.8
r107	43.81	28328004	4.02	1857682	90.8	93.4	64.43	42059268	4.67	2029027	92.8	95.2
r108	29.41	17564810	8.30	3098793	71.8	82.4	69.22	42265459	8.29	3104067	88.0	92.7
r109	3.08	3448253	0.19	169998	93.8	95.1	5.44	6153499	0.20	175407	96.3	97.1
r110	13.43	12803914	0.91	682379	93.2	94.7	18.85	18872901	0.90	679098	95.2	96.4
r111	40.88	12806004	4.63	1932727	88.7	84.9	42.23	15719756	5.54	2116709	86.9	86.5
r112	28.63	18875159	6.01	2465366	79.0	86.9	63.61	37552120	7.27	2710032	88.6	92.8
rc101	0.60	678727	0.05	41805	92.5	93.8	0.90	1052775	0.05	42887	94.7	95.9
rc102	2.75	3145387	0.17	171178	93.7	94.6	4.41	5217034	0.18	173211	96.0	96.7
rc103	5.38	6218635	0.49	456220	90.9	92.7	7.84	9202713	0.50	467826	93.6	94.9
rc104	34.92	12895802	1.71	1242992	95.1	90.4	39.97	18859015	1.96	1340840	95.1	92.9
rc105	1.60	1863337	0.11	112238	93.0	94.0	1.81	2134700	0.12	113400	93.6	94.7
rc106	1.53	1815310	0.14	131787	90.8	92.7	1.95	2374017	0.15	133691	92.5	94.4
rc107	4.97	5621602	0.46	406742	90.8	92.8	6.57	7717624	0.46	407187	93.0	94.7
rc108	12.87	13877100	0.87	746921	93.2	94.6	22.14	24324543	0.90	756113	95.9	96.9