HomeMy WebLinkAboutPZ - Queuing Analysis N V 5
June 7, 2024
William L Paul, CEO
Xsite Real Estate, Inc.
745 McClintock Drive, Suite 305
Burr Ridge, IL 60527
P: 630.669.5678
E: br)aul@xsiterealestate.com
RE: Ziggi's Coffee, Meridian, ID Queuing Study
Dear Mr. Bill,
NV5 conducted a queuing analysis for the proposed Ziggi's coffee shop,to be located in the southwest
corner of E. Amity Road and S. Tavistock Avenue. According to the site plan provided, the proposed
facility will be 825 square feet, with one drive-up window and no inside seating. It will have access to
S.Tavistock Avenue via a rear access drive.All traffic will use the driveway alongthe back access road.
According to the site plan,there is room for eight (8)vehicles to queue prior to the order kiosk.
The trip generation for a coffee shop with a drive-up window only is based on Trip Generation, ITE, 11th
Ed., 2021. Because there is only one ordering kiosk and one drive-up window, the trip generation is
based on "one window".
Coffee/Doughnut Shop with Drive-Through Window and No Indoor Seating (938)
Based upon methodology from ITE's Trip Generation, 11th Edition (2021)
Project Trips
...................
Project
Project Land Use Density Total In Out Variable Equation Used
Coffee/Doughnut Shop with 1 Lanes Drive-
Drive-Through Window and Through
No Indoor Seating Daily 180 90 90 Lanes T= 179*X
AM Peak Hour 36 18 18 T=53.21 *X- 17.43
PM Peak Hour 16 8 8 T= 15.08 *X
Poisson Oueuin Analysis
The Poisson probability equation is as follows:
P(n) _ (AA I?e—AA
n!
690 S.INDUSTRY WAY,STE.#10 1 MERIDIAN,ID 83642 I www.NV5.com I OFFICE 208.342.5400
CONSTRUCTION QUALITY ASSURANCE-INFRASTRUCTURE-ENERGY-PROGRAM MANAGEMENT-ENVIRONMENTAL
Ziggi's Coffee Queuing Evaluation
Meridian, ID
Page 2
Where:
0 = analysis period or average wait time to order, sec
k = inbound arrival rate, veh/sec
n = average number of vehicles arriving during the analysis period
Based on past experience with coffee shops, it takes each vehicle one minute to place an order at the
order box. (A search of studies completed in other jurisdictions in the U.S.showed an assumed service
rate of 15 seconds to 60 seconds.)Therefore, to be conservative, A = 60 seconds.
The coffee shop is expected to generate 18 inbound vehicles during an average weekday morning
peak hour.Therefore, a, = 0.005 veh/sec (18 vehicles per hour/3600 seconds per hour).
The calculations for various possible queues of n or fewer vehicles is as follows:
P(n<_1) = e-ao (kA)n/n! = e-0.3 * 0.31/ 1! = 0.222
P(n<_2) = e-k4 (XA)n/n! = e-0.3 * 0.32/ 2! = 0.0333
P(n<_3) = e-k4 QA)n/n! = e-0.3 * 0.33/ 3! = 0.00333
P(n<_4) = e-k4 (XA)n/n! = e-0.3 * 0.34/ 4! = 0.00025
From the Poisson analysis, the 95th percentile queue would two (2) vehicles or less. (1-0.0333 =
0.9667). The 99t" percentile queue would be three (3) vehicles or less.
Applying a sensitivity test, if we assumed that twice the volume of traffic entered in one hour (36
vehicles) and it takes twice as long to place an order, on average, (two minutes per vehicle at the pay
box), the 95% percentile queue would be 4 vehicles. The equation is a follows:
P(n<_4) = e-�" (kAy/n! = e-1.2 * 1.24/ 4! = 0.026
Based on this analysis, it is not expected that the proposed coffee shop will queue up into the
adjacent roadway.
Sincerely,
John Karnowski, P.E., PTOE, AICP
Traffic Services National Director
NV5
NV5.COM
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Queue Analysis
Coffee Shop
Service rate 60 sec/vehicle at the order unit Service rate x2 120
Trip Gen 18 inbound veh/Saturday Peak hour Trip Gen x2 36
0.005 veh/sec 0.010
Max Queue
n A P(n) n A P(n)
1 60 0.005 0.222245 1 120 0.010 0.361433
2 60 0.005 0.033337 2 120 0.010 0.21686
3 60 0.005 0.003334 3 120 0.010 0.086744
4 60 0.005 0.00025 4 120 0.010 0.026023
5 60 0.005 1.5E-05 5 120 0.010 0.006246
6 60 0.005 7.5E-07 6 120 0.010 0.001249
7 60 0.005 3.21E-08 7 120 0.010 0.000214
8 60 0.005 1.21E-09 8 120 0.010 3.21E-05
9 60 0.005 4.02E-11 9 120 0.010 4.28E-06