Research Article
Economic Order Quantity Model with Weibull Distributed Deterioration under a Mixed Cash and Prepayment Scheme
Table 4
Sensitivity examination of several factors on the best solution.
| Parameter | Original value | % of change in the original values | % of change in | | | | | | Total profit |
| | 500 | −20 | −2.59 | −3.38 | −2.61 | −7.92 | −0.11 | 3.24 | −10 | −1.25 | −1.65 | −1.26 | −3.94 | −0.05 | 1.6 | 10 | 1.16 | 1.58 | 1.17 | 3.91 | 0.05 | −1.58 | 20 | 2.25 | 3.09 | 2.27 | 7.79 | 0.1 | −3.13 |
| | 250 | −20 | 4.17 | 11.27 | −40.14 | −12.9 | −13.55 | −72.95 | −10 | 1.14 | 3.52 | −21.06 | −8.04 | −6.84 | −41.56 | 10 | 0.06 | −1.35 | 23.13 | 10.25 | 6.9 | 52.01 | 20 | 0.13 | −2.41 | 46.3 | 18.63 | 13.8 | 114.87 |
| | 1.9 | −20 | 2.88 | 0.52 | 27.61 | 5.18 | 17.37 | 91.92 | −10 | 1.17 | −0.07 | 13.01 | 2.55 | 7.71 | 39.18 | 10 | −0.32 | 1.23 | −11.06 | −1.06 | −6.28 | −29.55 | 20 | 0.46 | 4.16 | −19.87 | 0.9 | −11.45 | −52.06 |
| | 50 | −20 | 3.93 | 1.56 | 24.63 | 2.62 | −5.93 | 45.16 | −10 | 2.29 | 1.20 | 13.02 | 3.62 | −2.95 | 21.52 | 10 | −1.18 | 0.35 | −10.27 | −0.02 | 2.99 | −19.47 | 20 | −2.11 | 1.18 | −20.04 | −0.45 | 5.98 | −36.95 |
| | 2 | −20 | 0.69 | 0.34 | 1.01 | −1.75 | −0.09 | 0.77 | −10 | 0.35 | 0.17 | 0.51 | −0.87 | −0.04 | 0.38 | 10 | −0.35 | −0.17 | −0.51 | 0.87 | 0.04 | −0.38 | 20 | −0.7 | −0.35 | −1.01 | 1.73 | 0.09 | −0.76 |
| | 0.1 | −20 | 6.56 | 5.46 | 7.62 | −0.89 | −0.06 | 2.05 | −10 | 2.64 | 1.97 | 2.54 | −2.38 | −0.05 | 0.98 | 10 | −2.36 | −1.75 | −2.28 | 2.23 | 0.04 | −0.92 | 20 | −4.5 | −3.31 | −4.34 | 4.34 | 0.08 | −1.78 |
| | 2 | −20 | 4.07 | 3.77 | 4.22 | 0.81 | 0.24 | −0.54 | −10 | 1.81 | 1.68 | 1.88 | 0.4 | 0.11 | −0.26 | 10 | −1.47 | −1.38 | −1.54 | −0.39 | −0.09 | 0.24 | 20 | −2.69 | −2.53 | −2.81 | −0.77 | −0.18 | 0.46 |
| | 0.4 | −20 | 0.07 | −0.25 | 1.59 | −0.85 | −0.57 | 3.92 | −10 | 0.04 | −0.13 | 0.80 | −0.43 | −0.29 | 1.95 | 10 | −0.03 | 0.13 | −0.79 | 0.43 | 0.29 | −1.94 | 20 | −0.06 | 0.27 | −1.58 | 0.85 | 0.57 | −3.86 |
| | 1.5 | −20 | −0.39 | 1.93 | −0.38 | 19.18 | −0.02 | 0.5 | −10 | −0.18 | 0.88 | −0.17 | 8.74 | −0.01 | 0.23 | 10 | 0.15 | −0.76 | 0.15 | −7.44 | 0.01 | −0.2 | 20 | 0.28 | −1.41 | 0.27 | −13.84 | 0.02 | −0.37 |
| | 12 | −20 | −0.06 | 0.32 | −0.04 | 2.79 | −0.01 | 0.08 | −10 | −0.03 | 0.16 | −0.02 | 1.38 | −0.01 | 0.04 | 10 | 0.03 | −0.15 | 0.02 | −1.34 | 0.01 | −0.04 | 20 | 0.06 | −0.31 | 0.04 | −2.65 | 0.01 | −0.07 |
| | 14 | −20 | −0.11 | 0.58 | −0.07 | 5 | −0.02 | 0.14 | −10 | −0.06 | 0.28 | −0.04 | 2.44 | −0.01 | 0.07 | 10 | 0.05 | −0.27 | 0.03 | −2.32 | 0.01 | −0.06 | 20 | 0.1 | −0.52 | 0.07 | −4.54 | 0.02 | −0.13 |
| | 10 | −20 | 0.07 | −0.25 | 1.59 | −0.85 | −0.57 | 3.92 | −10 | 0.04 | −0.13 | 0.8 | −0.43 | −0.29 | 1.95 | 10 | −0.03 | 0.13 | −0.79 | 0.43 | 0.29 | −1.94 | 20 | −0.06 | 0.27 | −1.58 | 0.85 | 0.57 | −3.86 |
| | 0.05 | −20 | 0.07 | −0.25 | 1.59 | −0.85 | −0.57 | 3.92 | −10 | 0.04 | −0.13 | 0.80 | −0.43 | −0.29 | 1.95 | 10 | −0.03 | 0.13 | −0.79 | 0.43 | 0.29 | −1.94 | 20 | −0.06 | 0.27 | −1.58 | 0.85 | 0.57 | −3.86 |
| | 20 | −20 | 0.00 | 0.02 | −0.09 | 0.05 | 0.03 | −0.23 | −10 | 0.00 | 0.01 | −0.04 | 0.02 | 0.02 | −0.10 | 10 | 0.00 | −0.01 | 0.03 | −0.02 | −0.01 | 0.08 | 20 | 0.00 | −0.01 | 0.06 | −0.03 | −0.02 | 0.15 |
| | 0.1 | −20 | −1.16 | −1.53 | −7.35 | −9.70 | −0.05 | −4.85 | −10 | −0.53 | −0.70 | −3.74 | −4.88 | −0.02 | −2.56 | 10 | 0.44 | 0.59 | 3.89 | 4.93 | 0.02 | 2.83 | 20 | 1.59 | 2.17 | 10.05 | 14.18 | 0.07 | 5.94 |
| | 50 | −20 | −0.48 | −0.65 | 1.76 | 0.66 | −0.02 | 2.9 | −10 | −0.14 | −0.18 | 1.05 | 0.74 | −0.01 | 1.37 | 10 | −0.07 | −0.1 | −1.4 | −1.57 | −0.003 | −1.23 | 20 | 0.76 | 1.03 | −0.57 | 1.18 | 0.03 | −2.34 |
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