Skip to main content

Table 2 Crisp and fuzzy values for Gumbel deterioration

From: Periodic review inventory model for Gumbel deteriorating items when demand follows Pareto distribution

β λ d Q m n d n 1 N E(TC) E(TC)/Qm
 0.1 8.4 443.4 3.88 4.81 4.9 14170.9 31.96
 0.2 28.1 733.14 3.52 3.1 3.13 7656.05 10.443
 0.3 14.6 617.22 3.7 3.93 5.06 5713.74 9.26
0.4 17.3 708.91 3.71 3.97 17.39 5353.43 7.552
 0.5 24.7 1057.93 3.69 3.85 30.36 8962.51 8.472
 0.6 37.45 3646.41 3.66 3.72 43.2 43586.39 11.953
 0.7 53.2 5342.03 3.648 3.67 55.92 103839.8 19.44
 0.8 70.4 117.9 3.65 3.665 67.82 4176.02 35.429
 0.9 86.63 4.913 3.66 3.7 78.41 586.243 119.324
\( \overset{\sim }{\beta } \) \( {\overset{\sim }{\lambda}}_d \) \( \kern0.50em {\overset{\sim }{Q}}_m \) \( {\overset{\sim }{n}}_d \) \( {\overset{\sim }{n}}_1 \) \( \overset{\sim }{N} \) \( E\left(\overset{\sim }{TC}\right) \) \( E\left(\overset{\sim }{TC}\right)/{\overset{\sim }{Q}}_m \)
 0.1 8.5 445.8 3.89 4.841 5.13 13097.2 29.382
 0.2 28.2 733.83 3.52 3.1 3.15 7636.5 10.41
 0.3 17.8 666.5 3.65 3.78 3.72 6307.9 9.465
 0.4 22.2 793.81 3.645 3.675 15 5835.1 7.351
 0.5 29.13 1178.221 3.644 3.7 28.784 9707.942 8.2395
 0.6 36.3 3359.6 3.66 3.7462 43.39 39928.98 11.885
 0.7 44.7 14491.579 3.7 3.867 57.16 282737.4 19.511
 0.8 70.5 122.64 3.645 3.7 67.73 4292.7 35.004
 0.9 86.7 5.24 3.65 3.686 78.33 600.1 114.62