Fuzzy Constrained Probabilistic Inventory Models Depending on Trapezoidal Fuzzy Numbers

Table 1

The exact solutions and (TC) for model (I) and model () at Exponential distribution.

		Crisp case			Fuzzy case
				(TC)			(TC)
0.1	0.1	297.092	13.8608	4199.84	250.412	15.426	2741.44
	0.2	184.893	18.4055	2910.93	158.061	20.016	1972.09
	0.3	123.76	22.6467	2252.78	107.107	24.237	1578.8
	0.4	87.6955	26.5107	1898.63	76.6735	28.054	1367.98
	0.5	65.1132	29.9807	1703	57.4583	31.4585	1253.06
	0.6	50.1308	33.1065	1593.97	46.7207	33.9499	1189.84
	0.7	41.8943	35.2866	1533.94	43.0554	34.9436	1146.05
	0.8	39.0054	36.1611	1491.79	39.9907	35.846	1112.46
0.3	0.1	297.079	11.8026	4148.23	250.456	13.6144	2708.31
	0.2	184.905	16.4977	2863.37	158.08	18.3589	1941.59
	0.3	123.759	20.8394	2207.59	107.132	22.6783	1550.15
	0.4	87.7063	24.768	1855.18	76.7397	26.5535	1340.67
	0.5	65.1619	28.2749	1660.8	57.4816	30.0074	1226.34
	0.6	50.1482	31.4365	1552.36	46.8468	32.4964	1163.56
	0.7	41.9983	33.6078	1492.73	43.1748	33.498	1119.93
	0.8	39.1053	34.4876	1450.74	40.1052	34.4067	1086.48
0.7	0.1	297.118	6.33535	4012.01	250.446	8.99977	2622.85
	0.2	184.851	11.5619	2739.35	158.081	14.2364	1865.33
	0.3	123.742	16.2344	2092.27	107.118	18.864	1479.48
	0.4	87.6963	20.3768	1745.29	76.7206	22.9372	1273.64
	0.5	65.1605	24.0241	1554.52	57.4204	26.5318	1161.7
	0.6	50.2168	27.266	1448.65	47.2184	28.9822	1100.36
	0.7	42.327	29.4105	1390.22	43.5262	30.0069	1057.21
	0.8	39.4206	30.3066	1348.72	40.4411	30.9342	1024.17