Allocating Cost to Shippers in Pickup and Delivery Service

Table 8

Results of the random instances similar to the instance 1.

Instance	1	2	3	4	5	6	7	8	9	10
Pre-collaboration costs	76.3	72.2	79.0	73.5	73.5	82.4	75.4	79.1	72.8	86.4
	88.6	87.0	81.0	91.1	83.4	81.7	91.0	87.0	82.7	79.6
	133.3	133.3	133.3	133.3	133.3	133.3	133.3	133.3	133.3	133.3
	95.5	99.1	104.4	93.6	100.5	83.2	104.1	104.1	102.2	93.0
Post-collaboration costs	171.0	157.2	163.4	166.5	175.2	168.6	173.1	175.3	177.0	181.6
Cost collaboration of Shapley	32.8	25.0	31.4	26.2	33.9	37.3	35.1	35.9	32.6	44.0
	36.2	32.2	29.6	38.2	34.2	29.5	35.4	35.0	34.0	30.3
	62.0	60.5	58.7	63.8	62.8	68.3	57.5	60.4	62.5	64.4
	40.0	39.5	43.6	38.3	44.4	33.5	45.1	44.0	47.9	43.0
Cost collaboration of Nucleolus	35.8	29.1	32.2	28.3	37.4	39.7	41.9	38.5	35.0	46.1
	34.0	32.0	28.3	36.8	32.1	27.9	33.8	32.8	30.8	28.6
	57.3	55.0	55.5	59.7	59.2	63.8	50.2	56.8	58.0	59.6
	44.0	41.0	47.5	41.8	46.6	37.1	47.1	47.2	53.2	47.2
Cost collaboration of EPM	33.1	29.0	32.5	31.3	32.9	36.5	32.3	34.3	33.0	40.0
	38.5	34.9	33.3	38.8	37.4	36.2	39.0	37.8	37.4	36.9
	57.9	53.5	54.8	56.7	59.8	59.0	57.1	57.9	60.3	61.7
	41.5	39.8	42.9	39.8	45.1	36.8	44.6	45.2	46.3	43.1
Cost collaboration of LCAM	36.7	28.0	34.0	30.0	38.6	39.8	39.6	39.8	36.6	45.7
	35.5	31.9	30.1	37.8	34.0	30.3	35.2	35.0	34.6	30.7
	57.2	57.0	54.5	59.3	57.1	62.8	52.4	56.1	57.6	59.6
	41.6	40.2	44.8	39.4	45.5	35.8	46.0	44.4	48.2	45.5
Instance	11	12	13	14	15	16	17	18	19	20
Pre-collaboration costs	73.6	85.9	75.4	74.8	79.8	81.9	79.8	65.8	83.1	69.0
	88.8	76.2	83.2	91.7	97.7	93.3	94.8	74.5	102.7	83.5
	133.3	133.3	133.3	133.3	133.3	133.3	133.3	133.3	133.3	133.3
	109.4	100.0	103.9	92.3	104.4	93.6	106.8	89.5	103.7	97.7
Post-collaboration costs	167.8	173.9	166.4	170.7	174.7	174.0	173.3	169.1	190.1	182.1
Cost collaboration of Shapley	29.6	39.7	31.4	31.3	30.7	34.9	33.8	31.3	40.7	36.0
	35.1	27.6	31.6	37.6	42.0	37.8	38.3	30.4	45.4	36.4
	55.6	61.5	58.9	64.5	58.1	63.1	56.7	66.8	60.7	64.7
	47.4	45.2	44.5	37.3	44.0	38.2	44.6	40.7	43.3	45.0
Cost collaboration of Nucleolus	34.3	39.8	33.8	35.2	32.5	37.1	38.1	34.9	45.9	42.6
	34.4	26.5	29.7	35.5	40.0	35.2	36.9	28.0	42.6	33.7
	49.3	57.7	54.7	59.8	54.3	59.2	51.4	61.2	56.2	57.6
	49.8	49.8	48.2	40.3	48.0	42.4	47.0	45.1	45.3	48.2
Cost collaboration of EPM	30.5	37.8	31.7	32.6	33.6	35.4	33.3	30.7	37.4	32.8
	36.8	33.5	35.0	40.0	41.1	40.4	39.6	34.7	46.2	39.6
	55.2	58.6	56.0	58.0	56.1	57.7	55.7	62.0	59.9	63.3
	45.3	44.0	43.7	40.2	43.9	40.5	44.6	41.6	46.6	46.4
Cost collaboration of LCAM	33.4	41.8	34.7	35.4	34.2	38.2	38.1	35.6	45.3	41.2
	34.0	29.0	32.1	37.1	40.9	37.4	37.2	31.1	44.0	35.8
	52.4	56.5	54.4	59.5	54.5	58.3	53.0	60.2	56.9	59.5
	48.1	46.6	45.3	38.7	45.1	40.1	45.0	42.2	43.9	45.6