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.

ParameterOriginal value% of change in the original values% of change in
Total profit

500−20−2.59−3.38−2.61−7.92−0.113.24
−10−1.25−1.65−1.26−3.94−0.051.6
101.161.581.173.910.05−1.58
202.253.092.277.790.1−3.13

250−204.1711.27−40.14−12.9−13.55−72.95
−101.143.52−21.06−8.04−6.84−41.56
100.06−1.3523.1310.256.952.01
200.13−2.4146.318.6313.8114.87

1.9−202.880.5227.615.1817.3791.92
−101.17−0.0713.012.557.7139.18
10−0.321.23−11.06−1.06−6.28−29.55
200.464.16−19.870.9−11.45−52.06

50−203.931.5624.632.62−5.9345.16
−102.291.2013.023.62−2.9521.52
10−1.180.35−10.27−0.022.99−19.47
20−2.111.18−20.04−0.455.98−36.95

2−200.690.341.01−1.75−0.090.77
−100.350.170.51−0.87−0.040.38
10−0.35−0.17−0.510.870.04−0.38
20−0.7−0.35−1.011.730.09−0.76

0.1−206.565.467.62−0.89−0.062.05
−102.641.972.54−2.38−0.050.98
10−2.36−1.75−2.282.230.04−0.92
20−4.5−3.31−4.344.340.08−1.78

2−204.073.774.220.810.24−0.54
−101.811.681.880.40.11−0.26
10−1.47−1.38−1.54−0.39−0.090.24
20−2.69−2.53−2.81−0.77−0.180.46

0.4−200.07−0.251.59−0.85−0.573.92
−100.04−0.130.80−0.43−0.291.95
10−0.030.13−0.790.430.29−1.94
20−0.060.27−1.580.850.57−3.86

1.5−20−0.391.93−0.3819.18−0.020.5
−10−0.180.88−0.178.74−0.010.23
100.15−0.760.15−7.440.01−0.2
200.28−1.410.27−13.840.02−0.37

12−20−0.060.32−0.042.79−0.010.08
−10−0.030.16−0.021.38−0.010.04
100.03−0.150.02−1.340.01−0.04
200.06−0.310.04−2.650.01−0.07

14−20−0.110.58−0.075−0.020.14
−10−0.060.28−0.042.44−0.010.07
100.05−0.270.03−2.320.01−0.06
200.1−0.520.07−4.540.02−0.13

10−200.07−0.251.59−0.85−0.573.92
−100.04−0.130.8−0.43−0.291.95
10−0.030.13−0.790.430.29−1.94
20−0.060.27−1.580.850.57−3.86

0.05−200.07−0.251.59−0.85−0.573.92
−100.04−0.130.80−0.43−0.291.95
10−0.030.13−0.790.430.29−1.94
20−0.060.27−1.580.850.57−3.86

20−200.000.02−0.090.050.03−0.23
−100.000.01−0.040.020.02−0.10
100.00−0.010.03−0.02−0.010.08
200.00−0.010.06−0.03−0.020.15

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
100.440.593.894.930.022.83
201.592.1710.0514.180.075.94

50−20−0.48−0.651.760.66−0.022.9
−10−0.14−0.181.050.74−0.011.37
10−0.07−0.1−1.4−1.57−0.003−1.23
200.761.03−0.571.180.03−2.34