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Optimization of Shared Trips in the Door-to-Door Transportation Service for People With Disabilities: A Case Study in Barcelona

Results from the paper "Optimization of Shared Trips in the Door-to-Door Transportation Service for People With Disabilities: A Case Study in Barcelona".

Table of Contents

  1. Tolerable overtimes and temporal flexibility table analysis
  2. Scalability of the service table analysis

Tolerable overtimes and temporal flexibility table analysis

Pareto Front results for λ=5 and δ=1

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258 0.00 0 2718.55 0.00 0.00 0.00 0.00
7.86 12226.6 7.86 4 2718.44 1.18 2.42 0.73 1.00
15.72 12210.6 15.72 6 2716.99 2.15 3.80 0.43 1.00
23.58 12180.4 23.58 10 2716.23 1.77 4.66 0.48 1.00
31.43 12164.4 31.44 12 2715.95 2.11 4.66 0.43 1.00
39.29 12149 39.29 14 2715.95 2.02 4.66 0.47 1.00
47.15 12133.6 47.15 16 2713.49 2.29 4.66 0.47 1.00
55.01 12118.2 55.01 18 2711.07 2.52 4.94 0.50 1.00
62.87 12102.8 62.87 20 2710.96 2.51 4.94 0.55 1.00
70.73 12087.4 70.73 22 2705.78 2.71 4.94 0.51 1.00

Pareto Front results for λ=5 and δ=5

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
74.37 12053.0 74.37 26 2706.29 1.52 4.82 1.31 5.00
148.75 11909.6 148.75 44 2690.82 1.83 4.82 1.53 5.00
223.12 11784.0 223.12 60 2667.03 2.06 4.82 1.65 5.00
297.49 11675.6 297.50 74 2649.99 2.23 4.94 1.79 5.00
371.87 11582.0 371.87 86 2639.69 2.28 4.94 2.05 5.00
446.24 11502.6 446.24 96 2628.62 2.40 4.97 2.25 5.00
520.62 11423.8 520.62 106 2621.34 2.53 4.97 2.38 5.00
594.99 11346.8 594.99 116 2610.30 2.66 4.94 2.45 5.00
669.36 11297.6 669.36 122 2599.12 2.78 4.99 2.71 5.00

Pareto Front results for λ=5 and δ=10

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
155.40 11894.2 155.40 46 2689.09 1.83 4.82 1.53 7.23
310.80 11659.6 310.80 76 2648.69 2.20 4.94 1.88 9.23
466.20 11474.2 466.20 100 2634.58 2.45 4.94 2.21 10.00
621.60 11314.8 621.60 120 2614.04 2.47 4.94 2.71 10.00
777.00 11172.0 777.00 138 2592.03 2.54 4.98 3.09 10.00
932.40 11032.8 932.41 156 2584.47 2.54 4.97 3.43 10.00
1087.81 10921.4 1087.81 170 2575.55 2.52 4.97 3.87 10.00
1243.21 10829.0 1243.21 182 2567.88 2.67 4.99 4.16 10.00
1398.61 10794.0 1398.61 186 2559.26 2.75 4.99 4.77 10.00

Pareto Front results for λ=5 and δ=15

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258 0.00 0 2718.55 0.00 0.00 0.00 0.00
277.85 11705.8 277.85 70 2657.84 2.14 4.93 1.82 9.23
555.69 11379.4 555.69 112 2627.50 2.36 4.94 2.60 13.87
833.54 11124.6 833.54 144 2592.02 2.54 4.98 3.24 13.87
1111.38 10905.4 1111.38 172 2574.98 2.56 4.97 3.90 15.00
1389.23 10734.2 1389.23 194 2556.64 2.59 4.99 4.57 15.00
1667.07 10590.8 1667.08 212 2542.71 2.51 4.99 5.35 15.00
1944.92 10451 1944.92 230 2526.22 2.51 5.00 5.94 15.00
2222.77 10327.8 2222.77 246 2502.17 2.55 5.00 6.48 15.00
2500.61 10261.4 2500.61 254 2504.28 2.60 5.00 7.25 15.00

Pareto Front results for λ=5 and δ=20

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
422.73 11521.0 422.73 94 2636.90 2.39 4.94 2.10 9.99
845.46 11109.8 845.46 146 2593.67 2.57 4.97 3.21 14.11
1268.19 10811.2 1268.19 184 2561.53 2.59 4.99 4.30 20.00
1690.92 10576.0 1690.92 214 2540.76 2.57 4.99 5.34 20.00
2113.65 10373.4 2113.66 240 2524.53 2.47 5.00 6.33 20.00
2536.39 10188.6 2536.39 264 2496.29 2.49 5.00 7.12 20.00
2959.12 10029.2 2959.12 284 2479.80 2.49 5.00 7.93 20.00
3381.85 9904.8 3381.85 300 2475.32 2.55 5.00 8.71 20.00
3804.58 9855.0 3804.58 306 2466.79 2.52 5.00 9.91 20.00

Pareto Front results for λ=10 and δ=1

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
33.80 12148.4 33.80 14 2716.27 1.90 5.67 0.52 1.00
67.60 12070.2 67.60 24 2707.62 2.39 6.46 0.42 1.00
101.40 12006.8 101.41 32 2699.38 2.71 8.09 0.43 1.00
135.21 11944.6 135.21 40 2693.85 2.89 8.46 0.43 1.00
169.01 11882.4 169.01 48 2685.95 3.04 9.17 0.48 1.00
202.81 11835.0 202.81 54 2678.31 3.25 9.17 0.50 1.00
236.61 11788.2 236.61 60 2674.78 3.41 9.54 0.52 1.00
270.41 11741.4 270.41 66 2670.85 3.57 9.58 0.53 1.00
304.21 11695.2 304.21 72 2663.72 3.73 9.89 0.50 1.00

Pareto Front results for λ=10 and δ=5

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
255.48 11688.6 255.48 72 2663.78 2.40 8.46 1.14 5.00
510.96 11282.8 510.96 124 2610.76 2.75 9.89 1.37 5.00
766.44 10954.6 766.44 166 2568.16 3.01 9.89 1.61 5.00
1021.92 10673.2 1021.92 202 2538.43 3.19 9.89 1.87 5.00
1277.40 10420.8 1277.40 234 2493.22 3.49 9.89 1.97 5.00
1532.88 10189.2 1532.88 264 2474.07 3.66 9.89 2.15 5.00
1788.35 9992.0 1788.36 290 2445.90 3.88 9.98 2.29 5.00
2043.83 9836.8 2043.84 310 2438.44 4.18 9.98 2.42 5.00
2299.31 9752.0 2299.31 320 2441.70 4.46 9.98 2.73 5.00

Pareto Front results for λ=10 and δ=10

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
398.61 11452.8 398.61 102 2627.31 2.57 9.17 1.33 7.23
797.21 10922.0 797.21 170 2557.91 3.02 9.89 1.67 9.99
1195.82 10498.4 1195.82 224 2515.91 3.28 9.89 2.05 10.00
1594.43 10114.6 1594.43 274 2459.98 3.43 9.89 2.39 10.00
1993.03 9800.6 1993.03 314 2431.08 3.64 9.78 2.71 10.00
2391.64 9538.8 2391.64 348 2411.44 3.87 9.98 3.00 10.00
2790.25 9322.0 2790.25 376 2422.78 3.93 9.98 3.49 10.00
3188.85 9138.4 3188.85 400 2409.46 4.13 9.93 3.84 10.00
3587.46 9058.4 3587.46 410 2400.65 4.29 9.98 4.46 10.00

Pareto Front results for λ=10 and δ=15

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
565.58 11217.6 565.58 132 2597.86 2.80 9.89 1.49 9.23
1131.16 10563.0 1131.16 216 2518.10 3.22 9.89 2.01 11.75
1696.74 10031.6 1696.74 284 2469.70 3.44 9.89 2.53 13.87
2262.32 9631.8 2262.32 336 2421.94 3.66 9.93 3.07 15.00
2827.90 9303.6 2827.90 378 2408.76 3.78 9.98 3.70 15.00
3393.48 9040.0 3393.48 412 2391.71 4.02 9.98 4.22 15.00
3959.06 8796.0 3959.06 444 2368.49 3.95 9.93 4.97 15.00
4524.64 8643.2 4524.64 464 2377.55 4.10 9.98 5.64 15.00
5090.22 8538.4 5090.22 478 2370.98 4.31 9.96 6.29 15.00

Pareto Front results for λ=10 and δ=20

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
719.86 11028.0 719.86 156 2568.72 2.85 9.89 1.76 11.44
1439.72 10278.6 1439.73 252 2477.27 3.46 9.89 2.24 11.75
2159.59 9704.0 2159.59 326 2447.19 3.69 9.78 2.93 18.12
2879.45 9300.0 2879.45 378 2418.09 3.83 9.98 3.79 20.00
3599.31 8977.2 3599.31 420 2383.64 3.88 9.98 4.68 20.00
4319.17 8716.6 4319.17 454 2355.92 3.98 9.96 5.51 20.00
5039.04 8504.0 5039.04 482 2351.03 4.18 9.96 6.26 20.00
5758.90 8354.8 5758.90 502 2351.76 4.18 9.96 7.28 20.00
6478.76 8249.4 6478.76 516 2360.96 4.36 9.96 8.18 20.00

Pareto Front results for λ=15 and δ=1

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
54.55 12101.0 54.55 20 2712.73 2.31 6.46 0.41 1.00
109.10 11991.4 109.10 34 2695.07 2.73 8.46 0.47 1.00
163.65 11897.2 163.65 46 2686.26 3.08 10.65 0.47 1.00
218.20 11805.4 218.20 58 2677.41 3.28 9.89 0.48 1.00
272.75 11727.2 272.75 68 2671.21 3.49 10.65 0.51 1.00
327.30 11662.0 327.30 76 2664.64 3.80 11.79 0.50 1.00
381.85 11599.8 381.85 84 2658.19 3.98 14.95 0.53 1.00
436.40 11538.2 436.40 92 2653.40 4.21 14.95 0.51 1.00
490.95 11492.6 490.95 98 2651.65 4.50 14.95 0.51 1.00

Pareto Front results for λ=15 and δ=10

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
475.77 11342.6 475.77 116 2612.33 2.73 10.38 1.37 7.23
951.54 10734.2 951.54 194 2542.21 3.25 11.79 1.65 9.99
1427.31 10250.8 1427.31 256 2478.38 3.48 14.04 2.09 10.00
1903.08 9827.8 1903.08 310 2461.24 3.80 14.25 2.34 10.00
2378.85 9471.8 2378.85 356 2427.57 4.07 14.68 2.61 10.00
2854.62 9166.2 2854.62 396 2418.16 4.33 15.00 2.88 10.00
3330.39 8919.8 3330.39 428 2414.55 4.34 15.00 3.44 10.00
3806.16 8751.6 3806.16 450 2409.20 4.56 15.00 3.89 10.00
4281.93 8632.0 4281.93 466 2417.86 4.91 15.00 4.27 10.00

Pareto Front results for λ=15 and δ=15

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
645.26 11108.0 645.26 146 2583.22 3.02 11.51 1.39 9.23
1290.52 10387.6 1290.52 238 2505.32 3.47 14.95 1.95 13.87
1935.77 9797.0 1935.78 314 2451.63 3.79 14.25 2.38 13.87
2581.03 9350.4 2581.03 372 2431.97 4.16 15.00 2.77 15.00
3226.29 9006.8 3226.29 416 2410.16 4.28 15.00 3.47 15.00
3871.55 8703.0 3871.55 456 2389.68 4.27 15.00 4.22 15.00
4516.81 8504.6 4516.81 482 2371.00 4.49 14.93 4.88 15.00
5162.07 8338.8 5162.07 504 2390.56 4.69 14.93 5.54 15.00
5807.32 8220.4 5807.32 520 2381.52 4.96 14.95 6.20 15.00

Pareto Front results for λ=15 and δ=20

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12258.0 0.00 0 2718.55 0.00 0.00 0.00 0.00
750.52 10983.0 750.52 162 2575.60 3.15 11.79 1.47 8.87
1501.04 10202.2 1501.05 262 2484.14 3.45 14.04 2.27 11.75
2251.57 9630.0 2251.57 336 2463.50 3.92 14.25 2.78 18.12
3002.09 9162.6 3002.09 396 2418.10 4.15 15.00 3.43 20.00
3752.61 8852.2 3752.61 436 2394.22 4.26 15.00 4.34 20.00
4503.13 8592.2 4503.14 470 2394.54 4.45 15.00 5.13 20.00
5253.66 8428.2 5253.66 492 2380.16 4.66 15.00 6.01 20.00
6004.18 8158.2 6004.18 528 2374.43 4.73 14.95 6.64 20.00
6754.70 8097.2 6754.70 536 2386.61 4.92 15.00 7.66 20.00

Scalability of the service table analysis

Pareto Front results for 600 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 12780.0 0.00 0 2839.73 0.00 0.00 0.00 0.00
407.88 11958.2 406.97 104 2755.15 2.65 9.17 1.26 7.23
815.76 11412.6 815.77 174 2677.24 3.02 9.89 1.67 9.99
1223.65 10976.6 1223.42 230 2626.77 3.25 9.89 2.06 10.00
1631.53 10601.6 1631.36 278 2572.70 3.48 9.93 2.39 10.00
2039.41 10274.0 2037.64 320 2552.01 3.63 9.90 2.74 10.00
2447.29 9998.6 2446.92 356 2524.04 3.82 9.98 3.06 10.00
2855.18 9780.0 2855.18 384 2531.08 3.94 9.98 3.49 10.00
3263.06 9597.6 3262.32 408 2523.97 4.13 9.98 3.86 10.00
3670.94 9517.6 3670.94 418 2519.46 4.29 9.98 4.50 10.00

Pareto Front results for 650 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 13855.0 0.00 0 3091.86 0.00 0.00 0.00 0.00
449.74 12941.4 449.74 116 2983.52 2.55 9.58 1.33 7.23
899.49 12362.0 899.40 190 2910.83 3.01 9.89 1.72 9.99
1349.23 11881.0 1348.93 252 2866.76 3.30 9.89 2.05 10.00
1798.98 11459.2 1798.98 306 2811.05 3.52 9.89 2.36 10.00
2248.72 11097.8 2248.72 352 2788.24 3.68 9.89 2.71 10.00
2698.46 10794.6 2698.46 392 2749.77 3.82 9.98 3.06 10.00
3148.21 10544.0 3148.21 424 2755.99 3.96 9.98 3.47 10.00
3597.95 10357.4 3597.95 448 2745.10 4.17 9.98 3.86 10.00
4047.69 10263.8 4047.70 460 2740.25 4.31 9.98 4.48 10.00

Pareto Front results for 700 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 14915.0 0.00 0 3355.17 0.00 0.00 0.00 0.00
488.18 13887.6 488.05 130 3256.50 2.42 9.58 1.34 7.23
976.36 13229.4 976.36 214 3165.51 2.93 9.89 1.63 9.23
1464.54 12703.4 1464.27 282 3094.32 3.20 9.89 1.99 10.00
1952.72 12239.0 1952.67 342 3053.11 3.43 9.93 2.28 10.00
2440.90 11856.8 2440.88 390 3022.24 3.54 9.90 2.72 10.00
2929.07 11521.6 2929.08 434 2985.71 3.78 9.98 2.97 10.00
3417.25 11258.0 3416.18 468 2979.63 3.99 9.98 3.31 10.00
3905.43 11075.6 3905.23 492 2974.96 4.17 9.98 3.76 10.00
4393.61 10966.6 4388.23 506 2956.63 4.31 9.98 4.36 10.00

Pareto Front results for 750 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 15999.0 0.00 0 3599.42 0.00 0.00 0.00 0.00
511.20 14896.4 510.93 140 3495.34 2.39 8.69 1.26 7.23
1022.40 14177.2 1022.04 232 3403.21 2.92 9.89 1.48 9.23
1533.60 13627.4 1533.48 302 3318.71 3.16 9.89 1.91 10.00
2044.80 13131.0 2044.80 366 3285.58 3.42 9.90 2.17 10.00
2556.00 12694.4 2555.13 422 3238.23 3.54 9.93 2.52 10.00
3067.21 12343.2 3067.21 468 3209.16 3.66 9.98 2.89 10.00
3578.41 12064.8 3578.37 504 3198.49 3.88 9.98 3.22 10.00
4089.61 11837.4 4089.61 534 3184.05 4.07 9.98 3.59 10.00
4600.81 11725.4 4600.81 548 3190.31 4.23 9.98 4.16 10.00

Pareto Front results for 800 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 17077.0 0.00 0 3869.19 0.00 0.00 0.00 0.00
559.11 15848.8 558.98 156 3752.93 2.38 8.69 1.20 7.23
1118.22 15064.4 1117.98 256 3644.53 2.89 9.89 1.48 10.00
1677.32 14454.2 1677.32 334 3572.21 3.17 9.89 1.85 10.00
2236.43 13931.2 2236.43 402 3524.06 3.41 9.89 2.16 10.00
2795.54 13475.6 2795.54 460 3483.43 3.59 9.89 2.49 10.00
3354.65 13107.2 3354.65 508 3443.60 3.65 9.98 2.95 10.00
3913.76 12817.0 3913.76 546 3425.05 3.93 9.98 3.23 10.00
4472.86 12586.6 4472.86 576 3414.03 4.12 9.98 3.65 10.00
5031.97 12434.4 5031.97 596 3417.05 4.26 9.98 4.18 10.00

Pareto Front results for 850 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 18158.0 0.00 0 4106.72 0.00 0.00 0.00 0.00
604.50 16805.4 604.50 172 3957.51 2.36 8.69 1.16 7.23
1208.99 15971.8 1208.99 278 3863.50 2.89 9.89 1.45 10.00
1813.49 15300.6 1813.49 364 3797.07 3.16 9.89 1.82 10.00
2417.98 14740.8 2417.99 436 3727.89 3.40 9.89 2.15 10.00
3022.48 14257.4 3020.81 498 3682.63 3.57 9.90 2.49 10.00
3626.98 13865.4 3626.98 550 3663.89 3.75 9.98 2.85 10.00
4231.47 13542.6 4231.47 592 3631.51 3.92 9.98 3.23 10.00
4835.97 13315.2 4835.97 622 3615.67 4.13 9.98 3.64 10.00
5440.46 13174.8 5416.91 640 3614.29 4.25 9.98 4.20 10.00

Pareto Front results for 900 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 19221.0 0.00 0 4351.15 0.00 0.00 0.00 0.00
653.22 17738.0 653.19 188 4184.23 2.34 8.98 1.13 6.79
1306.44 16800.2 1306.44 308 4078.35 2.82 9.89 1.42 8.59
1959.66 16095.8 1959.66 398 4005.74 3.06 9.89 1.86 10.00
2612.87 15475.6 2612.87 478 3925.37 3.32 9.90 2.14 10.00
3266.09 14982.8 3266.09 542 3903.04 3.54 9.93 2.49 10.00
3919.31 14579.4 3918.47 594 3838.32 3.66 9.80 2.94 10.00
4572.53 14227.6 4572.53 640 3839.81 3.92 9.98 3.23 10.00
5225.75 13992.0 5223.25 672 3836.04 4.17 9.98 3.60 10.00
5878.97 13820.8 5872.52 694 3825.96 4.26 9.98 4.20 10.00

Pareto Front results for 950 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 20311.0 0.00 0 4594.74 0.00 0.00 0.00 0.00
707.82 18703.6 707.27 204 4432.29 2.33 8.98 1.14 7.23
1415.65 17700.0 1415.35 332 4306.43 2.82 9.89 1.44 8.59
2123.47 16908.6 2122.67 434 4211.51 3.13 9.89 1.76 10.00
2831.29 16271.2 2831.09 516 4143.02 3.32 9.89 2.17 10.00
3539.11 15731.6 3538.78 586 4109.37 3.59 9.95 2.45 10.00
4246.94 15315.8 4246.94 640 4075.18 3.77 9.98 2.86 10.00
4954.76 14951.0 4954.76 688 4065.54 3.94 9.98 3.27 10.00
5662.58 14697.0 5662.58 722 4020.73 4.07 9.98 3.77 10.00
6370.40 14499.8 6370.40 748 4007.53 4.31 9.98 4.21 10.00

Pareto Front results for 1000 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 21371.0 0.00 0 4809.04 0.00 0.00 0.00 0.00
743.63 19638.0 743.45 220 4631.03 2.25 8.98 1.13 7.23
1487.26 18571.0 1486.70 356 4500.73 2.72 9.89 1.45 10.00
2230.89 17744.0 2229.79 462 4422.42 3.12 9.94 1.70 10.00
2974.53 17029.6 2974.53 554 4343.16 3.31 9.94 2.05 10.00
3718.16 16473.4 3718.16 626 4294.26 3.52 9.94 2.42 10.00
4461.79 16020.4 4461.79 686 4257.31 3.73 9.98 2.77 10.00
5205.42 15652.0 5205.42 734 4258.65 4.01 9.98 3.09 10.00
5949.05 15383.2 5949.05 770 4215.57 4.21 9.93 3.52 10.00
6692.68 15186.0 6692.39 796 4211.36 4.34 9.98 4.07 10.00

Pareto Front results for 1050 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 22443.0 0.00 0 5030.39 0.00 0.00 0.00 0.00
792.77 20597.4 792.77 234 4841.70 2.25 8.98 1.13 7.23
1585.55 19453.4 1585.33 380 4709.98 2.73 9.89 1.44 10.00
2378.32 18556.0 2377.51 496 4604.25 3.03 9.94 1.77 10.00
3171.10 17820.2 3171.10 590 4528.91 3.29 9.95 2.08 10.00
3963.87 17191.8 3963.50 672 4502.63 3.46 9.94 2.43 10.00
4756.64 16686.6 4756.39 738 4404.66 3.65 9.98 2.79 10.00
5549.42 16308.2 5542.82 788 4404.15 3.88 9.98 3.16 10.00
6342.19 16069.0 6342.19 820 4419.35 4.07 9.98 3.66 10.00
7134.96 15857.6 7134.97 848 4402.10 4.30 9.99 4.11 10.00

Pareto Front results for 1100 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 23512.0 0.00 0 5263.37 0.00 0.00 0.00 0.00
826.76 21542.0 826.65 250 5064.63 2.20 8.98 1.11 7.23
1653.52 22161.4 1653.42 404 5336.43 2.69 9.89 1.38 10.00
2480.29 21118.2 2479.38 528 5191.76 2.96 9.89 1.73 10.00
3307.05 20287.8 3307.05 630 5115.10 3.20 9.94 2.08 10.00
4133.81 19564.0 4556.98 784 5086.17 3.36 9.94 2.45 10.00
4960.57 18967.6 5468.75 862 5020.27 3.59 9.96 2.76 10.00
5787.33 18500.4 6380.23 924 4986.77 3.80 9.94 3.11 10.00
6614.10 18257.0 7291.69 956 4995.59 3.98 9.99 3.64 10.00
7440.86 17974.6 8203.15 994 4955.75 4.29 9.99 3.96 10.00

Pareto Front results for 1150 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 24587.0 0.00 0 5477.78 0.00 0.00 0.00 0.00
873.22 22505.6 873.16 264 5266.60 2.20 8.98 1.11 7.23
1746.44 21233.0 1746.44 426 5136.30 2.69 9.89 1.41 10.00
2619.66 20239.6 2619.66 554 5031.13 3.02 9.94 1.71 10.00
3492.87 19404.4 3492.87 662 4944.92 3.19 9.94 2.08 10.00
4366.09 18709.6 4365.10 752 4884.44 3.41 9.95 2.39 10.00
5239.31 18164.2 5239.31 824 4836.05 3.69 9.94 2.66 10.00
6112.53 17710.6 6108.95 884 4773.45 3.82 9.94 3.09 10.00
6985.75 17440.0 6984.83 920 4785.89 4.08 9.99 3.51 10.00
7858.97 17215.6 7858.14 950 4792.15 4.26 9.99 4.01 10.00

Pareto Front results for 1200 requests (λ=10, δ=10)

ε Z1 (€) Z2 (min) # shared trips Distance (km) Avg. detour (min) Max. detour (min) Avg. pickup deviation (min) Max. pickup deviation (min)
0.00 25683.0 0.00 0 5698.41 0.00 0.00 0.00 0.00
911.46 23506.2 911.36 276 5492.49 2.14 8.69 1.16 6.79
1822.92 22161.4 1822.52 448 5336.43 2.69 9.89 1.38 10.00
2734.38 21118.2 2733.37 582 5191.76 2.96 9.89 1.73 10.00
3645.85 20287.8 3644.77 690 5115.10 3.20 9.94 2.08 10.00
4557.31 19564.0 4556.98 784 5086.17 3.36 9.94 2.45 10.00
5468.77 18967.6 5468.75 862 5020.27 3.59 9.96 2.76 10.00
6380.23 18500.4 6380.23 924 4986.77 3.80 9.94 3.11 10.00
7291.69 18257.0 7291.69 956 4995.59 3.98 9.99 3.64 10.00
8203.15 17974.6 8203.15 994 4955.75 4.29 9.99 3.96 10.00

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