A Nonlinear Integer Programming Model for Integrated Location, Inventory, and Routing Decisions in a Closed-Loop Supply Chain

Table 7

Computational results for small-size problems.

Instance name		HGSAA			IAGA			AHSAGA
		M1	SD	CV	M2	SD	CV	M3	SD	CV
Srivastava86-8 × 2	Computational time	1.30	0.02	0.02	1.09	0.01	0.01	1.10	0.01	0.01	15.73%	−0.43%
	Convergence generation	201.66	116.19	0.58	203.34	115.63	0.57	195.14	108.22	0.55	3.23%	4.03%
	Total cost	58357282.29	3318088.97	0.06	58972563.90	3408120.16	0.06	58080565.56	3150230.79	0.05	0.47%	1.51%
Perl83-12 × 2	Computational time	1.39	0.02	0.01	1.20	0.02	0.01	1.19	0.01	0.01	14.24%	1.01%
	Convergence generation	197.06	109.60	0.56	199.30	133.01	0.67	187.28	116.90	0.62	4.96%	6.03%
	Total cost	9879584.53	514520.39	0.05	9866462.28	494570.55	0.05	9857315.61	490727.85	0.05	0.23%	0.09%
Gaskell67-22 × 5	Computational time	2.01	0.04	0.02	1.71	0.03	0.02	1.71	0.03	0.01	14.99%	0.11%
	Convergence generation	206.52	115.21	0.56	217.36	123.96	0.57	198.64	109.48	0.55	3.82%	8.61%
	Total cost	90392692.15	4533650.78	0.05	90140435.61	5993545.10	0.07	89430743.81	4280679.66	0.05	1.06%	0.79%
Min92-27 × 5	Computational time	2.37	0.01	0.01	1.99	0.02	0.01	1.99	0.02	0.01	16.38%	0.00%
	Convergence generation	175.82	106.58	0.61	188.10	103.53	0.55	175.68	94.84	0.54	0.08%	6.60%
	Total cost	363157783.99	25693304.31	0.07	367201239.25	27220166.35	0.07	356654161.93	24405194.09	0.07	1.79%	2.87%
Gaskell67-29 × 5	Computational time	2.51	0.03	0.01	2.08	0.03	0.01	2.07	0.02	0.01	17.74%	0.87%
	Convergence generation	212.40	117.98	0.56	208.40	134.58	0.65	200.86	101.74	0.51	5.43%	3.62%
	Total cost	85966292.78	4976794.74	0.06	85879276.51	5292913.64	0.06	85053221.84	4861829.37	0.06	1.06%	0.96%
Gaskell67-32 × 5	Computational time	2.62	0.04	0.02	2.28	0.03	0.01	2.24	0.03	0.01	14.48%	1.55%
	Convergence generation	202.96	119.95	0.59	201.96	119.24	0.59	197.00	113.53	0.58	2.94%	2.46%
	Total cost	142731259.91	7358411.37	0.05	142691917.33	7239503.55	0.05	140407259.50	7051863.18	0.05	1.63%	1.60%
Gaskell67-36 × 5	Computational time	2.86	0.04	0.01	2.45	0.04	0.02	2.45	0.03	0.01	14.33%	0.03%
	Convergence generation	192.58	113.85	0.59	205.52	122.26	0.59	189.00	111.51	0.59	1.86%	8.04%
	Total cost	51830112.18	3370888.67	0.07	52045789.31	2998029.49	0.06	51240375.41	2951876.85	0.06	1.14%	1.55%