A semiempirical estimate of chute length for a 1000					Current	Percent of runners	Number of runners	Number of runners	Runners	Runners	Chute length
	runner 5K.					Interval	entering chute in	entering chute in	cumulative	processed	still in chute
						Ending	current minute	Interval
	The following input is from Mike Early of Charm City Run
	According to RRCA queuing data, runners occupy an area					15	0.001	1	1	2	0	0
	two square feet.					16	0.001	1	2	4	0	0
	Mike also provided a runner processing rate of					17	0.002	2	4	6	0	0
	2 runners per minute,and he uses a chute width of 10 feet.					18	0.004	4	8	8	0	0
	Model Assumptions:					19	0.006	6	13	10	3	1
	Based on experience, our model assumes a normal distribution,					20	0.009	9	22	12	10	2
	with a mean at 30 minutes and a standard deviation of 5 minutes,					21	0.013	13	35	14	21	4
	Each incoming runner adds 2sq ft in the chute, and					22	0.019	19	54	16	38	8
	we assume a runner processing rate of 2 runners per minute,					23	0.026	26	80	18	62	12
	Input					24	0.034	34	114	20	94	19
	Number of runners	1000				25	0.044	44	158	22	136	27
	Runners processed per minute:	2				26	0.053	53	211	24	187	37
	Chute Width	10				27	0.062	62	274	26	248	50
	Results					28	0.070	70	344	28	316	63
	Early arrivals appear between 14 and 15 minutes, and	683				29	0.076	76	420	30	390	78
	(approximately 2/3) of the runners enter the chute between 25				683	30	0.079	79	499	32	467	93
	and 35 minutes. The (required) chute length increases					31	0.079	79	579	34	545	109
	monotonically until the 42nd minute, reaching a maximum:	187	feet.			32	0.076	76	655	36	619	124
						33	0.070	70	725	38	687	137
						34	0.062	62	787	40	747	149
						35	0.053	53	841	42	799	160
						36	0.044	44	884	44	840	168
						37	0.034	34	919	46	873	175
						38	0.026	26	945	48	897	179
						39	0.019	19	963	50	913	183
						40	0.013	13	977	52	925	185
						41	0.009	9	985	54	931	186
	Peak chute length starts at 42 minutes ---	----------------	----------------	----------------	---------------->	42	0.006	6	991	56	935	187
						43	0.004	4	995	58	937	187
						44	0.002	2	997	60	937	187
						45	0.001	1	998	62	936	187
						46	0.001	1	999	64	935	187
						47		0	999	66	933	187
	MSTI Home page					48		0	999	68	931	186
						49		0	999	70	929	186
						50		0	999	72	927	185
						51		0	999	74	925	185
						52		0	999	76	923	185
						53		0	999	78	921	184
						54		0	999	80	919	184
						55		0	999	82	917	183
						56		0	999	84	915	183
						57		0	999	86	913	183
						58		0	999	88	911	182
						59		0	999	90	909	182
						60		0	999	92	907	181
						Total =	0.999	999