Research Article

An Improved Differential Evolution Algorithm for a Multicommodity Location-Inventory Problem with False Failure Returns

Table 6

Sensitivity analysis results.

Δ-30.00%-20.00%-10.00%0.00%10.00%20.00%30.00%

CI5967659.675532973.875098809.854665316.6784232715.543801356.653371846.74
Gap27.92%18.60%9.29%0.00%-9.27%-18.52%-27.73%
CR8131974.509293685.1410455395.7811617106.4212778817.0613940527.7115102238.35
Gap-30.00%-20.00%-10.00%0.00%10.00%20.00%30.00%
OV30760981.2931488006.1332215552.7632943770.2233672879.7334403231.4835135432.21
Gap-6.63%-4.42%-2.21%0.00%2.21%4.43%6.65%

CT11655759.5913320868.1014985976.6116651085.1218316193.6319981302.1521646410.66
Gap-30.00%-20.00%-10.00%0.00%10.00%20.00%30.00%
CR9141586.349969691.5910793951.6811617106.4212437398.3213255554.3514073565.94
Gap-21.31%-14.18%-7.09%0.00%7.06%14.10%21.15%
OV25472924.6027966138.3730455506.9732943770.2235429170.6437912435.1840395555.28
Gap-22.68%-15.11%-7.55%0.00%7.54%15.08%22.62%

CI4659545.894661513.594663436.184665316.6784667157.744668961.774670730.94
Gap-0.12%-0.08%-0.04%0.00%0.04%0.08%0.12%
OV32937999.4332939967.1332941889.7332943770.2232945611.2832947415.3232949184.48
Gap-0.02%-0.01%-0.01%0.00%0.01%0.01%0.02%

CI4657224.854660009.994662704.484665316.6784667853.734670321.794672726.23
Gap-0.17%-0.11%-0.06%0.00%0.05%0.11%0.16%
OV32935678.3932938463.5432941158.0332943770.2232946307.2732948775.3332951179.77
Gap-0.02%-0.02%-0.01%0.00%0.01%0.02%0.02%

CI3292753.683750274.684207795.684665316.6785122837.685580358.686037879.68
Gap-29.42%-19.61%-9.81%0.00%9.81%19.61%29.42%
OV31571207.2232028728.2232486249.2232943770.2233401291.2233858812.2234316333.22
Gap-4.17%-2.78%-1.39%0.00%1.39%2.78%4.17%

CI4650403.354655668.914660623.124665316.6784669787.844674066.354678175.84
Gap-0.32%-0.21%-0.10%0.00%0.10%0.19%0.28%
OV32928856.8932934122.4632939076.6732943770.2232948241.3932952519.8932956629.38
Gap-0.05%-0.03%-0.01%0.00%0.01%0.03%0.04%

CR11058612.5611245420.2511431721.4111617106.4211802239.4211987372.4212172505.42
Gap-4.81%-3.20%-1.60%0.00%1.59%3.19%4.78%
OV32385276.3632572084.0532758385.2132943770.2233128903.2233314036.2233499169.22
Gap-1.70%-1.13%-0.56%0.00%0.56%1.12%1.69%

CR11146187.9011303872.7011461479.6511617106.4211770266.7811922189.4812073560.78
Gap-4.05%-2.70%-1.34%0.00%1.32%2.63%3.93%
OV32472851.6932630536.4932788143.4532943770.2233096930.5833248853.2833400224.58
Gap-1.43%-0.95%-0.47%0.00%0.46%0.93%1.39%

Remark: in Table 6, “OV” means the optimal value, and “Gap” means the change of the optimal value. Note that the gap will be zero if no parameter is changed.