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Available online at www.sciencedirect.com ScienceDirect Procedia Engineering 71 ( 014 ) 65 70 Research of Occupant Density in the Wholesale and Retail Market Juan-juan Chen*, Zheng Fang, Jia-yun Sun, Jun-heng Wang School of Civil and Architectural Engineering, Wuhan University, Wuhan 43007, China Abstract Based on the characters of wholesale and retail market, it owns larger amount of inventory, bigger fire load, larger crowds and bigger daily trading volume of the wholesale market, and lager size of the mall. Through investing the occupant density of Wuhan Financing Brand Square which used normal population mean and variance of interval estimation principle, the paper drew the occupant density interval of the wholesale and retail market, and it provided the basis for formulation and revision of the future specification. 014 Published by Elsevier Ltd. Open access under CC BY-NC-ND license. 014 The Authors. Published by Elsevier Ltd. Selection and peer-review under responsibility of the Academic Committee of Peer-review ICPFFPE 013. under responsibility of School of Engineering of Sun Yat-Sun University Keywords: the wholesale and retail market, occupant density, statistical analysis 1. Introduction As the development of the economy, the commodity circulation has changed the traditional model, and the commodity trading venues become more regions, bigger scale, more functions and more specialized, the retail market and the wholesale market gradually merged, then the wholesale and retail market appeared. It owns larger amount of inventory, bigger fire load, larger crowds and bigger daily trading volume of the wholesale market, and lager size of the mall, which cannot simply perform the codes. Neither the research of Wuhan commercial construction people density recent years, nor the wholesale and retail market, the research of occupant density in wholesale and retail market is necessary.. Method.1. Respondents The Brand Square locating Duofu Road in Wuhan with large crowd, sells kinds of clothes to clothing retailer around the city and the surrounding residents. The building area is nearly 18900 m, and has 9 floors, among them -F for the garage and equipment, 1F~7F for the clothes, 8F for the food, and 9F for the offices. Some business hall area is shown in table 1. Table 1. Parts of the business hall construction area -1F 1F F 3F 4F 5F 6F 7F Area(m ) 1565 1374 1374 1314 13573 1374 13341 13169 * Corresponding author. Tel.:+86-159649115 E-mail address: A000810@163.com 1877-7058 014 Published by Elsevier Ltd. Open access under CC BY-NC-ND license. Peer-review under responsibility of School of Engineering of Sun Yat-Sun University doi: 10.1016/j.proeng.014.04.038

66 Juan-juan Chen et al. / Procedia Engineering 71 ( 014 ) 65 70.. Time of survey For Brand Square of occupant density, the investigation chose two times: The Dragon Boat Festival golden (June 11, 013) and the working (on Friday, June 14, 013). Through the video of all the entrances, the crowd was counted before the entrance of mall within 10 minutes per hour from 8:00 AM to 17:00 PM, (Fig.1.). (a) (b) Fig. 1. Video material of Brand Square (golden and working )..3. Research method There are mainly 11 entrances and 3 atriums on the first floor. Each of the atrium is equipped with two escalators and a sightseeing elevator (Fig..). This investigation chose the video of the main entrances which the people usually used, and gathered the statistics of inflows and outflows on each floor. According to the Fire protection design of buildings and NFPA, the paper counted the crowd in 4 groups: -1F; 1FF; 3F; 4F and above. Fig.. Schematic plan of the first floor. 3. Results and analysis 3.1. Results of number of evacuation crowd The crowd detained in a certain time on some floors is the number of evacuation crowd, which can be calculated by the following formula:

Juan-juan Chen et al. / Procedia Engineering 71 ( 014 ) 65 70 67 (1) Among it, S means the number of evacuation crowd on this floor this time; S 1 means the number of evacuation crowd on this floor that time; S 11 means the inflows on this floor this time;means the outflows on this floor this time. The result is showed in table. Table. Number of retention people Periods 1 3 4 5 6 7 8 9 Time -1F 1FF 3F 4F and above 8:00-9:00 19 163 534 600 330 480 84 39 9:00-10:00 414 411 1083 14 645 70 10 93 10:00-11:00 546 737 1746 1368 1110 645 16 11:00-1:00 73 497 496 1716 190 375 666 76 1:00-13:00 840 49 14 1677 35 495 708 303 13:00-14:00 966 48 184 157 50 495 744 309 14:00-15:00 948 163 1557 1449 05 130 600 378 15:00-16:00 840 85 1863 819 95 160 738 174 16:00-17:00 64 0 1398 636 1860 1500 600 108

68 Juan-juan Chen et al. / Procedia Engineering 71 ( 014 ) 65 70 Fig. 3. Number of evacuation crowd of some floors. 3.. Analysis on the number of evacuation crowd 1 Choose the statistics Fig. 3 shows that the people detained on every floor in the golden is more than working, and the people on the first or the second floor is more than any other floors. From the curve of the whole day, the population is a little from 8:00 to 10:00 and from 16:00 to 17:00. So the paper analysis the statistics during the time when the number of people is stable, that means analysis the statistics from 10:00 AM to 16:00 PM. Prediction of population distribution and test Combined survey data with the objective law of all kinds of shopping mall, it knows that if the number during each period (per hour) is as a general in the market, the overall is to obey the normal distribution. 3 The overall average interval estimation of μ The principle of normal population mean and variance of interval estimation are as follows: - n Setting is a sample from normal population 1 X = å X. Considering the unbiased i n - estimation of is S so the function is X - m T = tn- ( 1) and this distribution does not depend on any parameters. S / n X - m t a ( n- 1)? ta ( n- 1) S / n? X S t a ( n- 1) S? X t a ( n- 1) n n At this point the confidence level of is1- a, and the confidence interval is - S X? t ( n 1) n a As the statistical sample is accord with the normal distribution, taking the number on the first floor in golden as example, the paper calculated the interval of the traffic peak, and the estimation of. _ X- m tn- ( 1) s / n i= 1

Juan-juan Chen et al. / Procedia Engineering 71 ( 014 ) 65 70 69 - Confidence interval S X? t ( n 1) n a 1746 496 14 184 1557 1863 X - + + + + + = = 1995 6 1 n - s = å ( x - x) = 339 (n-1) i i = 1 t = a t0.05(5) =.5706, n = 6 - S 339 X? t ( n 1) = (1995.5706) (1639, 351) n a 6 Similarly, the interval s of other time and other floors can be calculated, the result is shown in table 3. Table 3. Interval estimates of crowd number in Brand Square Time -1F 1FF 3F 4F and above 81 81164 1995 1995356 1898 1898571 613 613467 working 360 36054 146 146341 765 765436 76 1176 The paper would take the number of people on working as ordinary flows, and the number of people in golden as peak flows, then take the confidence interval of the mean s (the upper limit of 95%) for discussion, in order to calculate the occupant density. The data is shown in table 4. Table 4. Interval estimates of crowd number in Brand Square -1F 1FF 3F 4F and above Number of evacuation crowd 650<μ<978 1767<μ<351 137<μ<469 87<μ<1080 4 Discussion According to "code for fire protection design of buildings" GB50016-006 [], the area discount of the underground store is 0.7, and the area discount of the ground shop is 0.5. Due to the building of the seventh floor of the shop which is decorated when investigating, so the calculation multiplied by safety factor of 1.5, each floors of density are shown in table 5. Table 5. Occupant density in Brand Square Area of structure Crowd Density Revised density/ /m /no. /people/m people /m JGJ48-88 -1F 1565 650<μ<978 0.06~0.09 0.09~0.14 0.80 1FF 1374 1767<μ<351 0.7~0.36 0.41~0.54 0.85 3F 1314 137<μ<469 0.~0.37 0.3~0.56 0.77 4F and above 13573 87<μ<1080 0.05~0.16 0.08~0.4 0.6 The table 5 shows that 1~3F is the similar density, because of the different kinds of clothes, the 1-3F for fashion women s clothing, 1F for children's clothing, 4~5 F for brand ladies, 6~7 f for men's wear. Because commodity price of 1~3 F is relatively lower in the middle, and the demands for it is great, also female guest shopping time is long, therefore the occupant density on 1~3F is higher than the other floors. This result is similar with the medium-sized market investigated by Zhao Shuping [3].

70 Juan-juan Chen et al. / Procedia Engineering 71 ( 014 ) 65 70 5 Conclusions and advice Through investigation and statistical analysis, the paper knows the occupant density of Wuhan wholesale and retail market, that is -1F of 0.09 ~ 0.14 people/ m, 1F~3F of 0.3 ~ 0.56 people/ m, 4F and above of 0.08 ~ 0.4 people/ m. This conclusion not only can provide scientific and reasonable reference data for design, but also can provide reliable basis for formulation and revision of the future specification. It is worth noting that the conclusion of this article is just for Wuhan wholesale and retail market for clothing. When the other commercial building wants to use the result, it must be considered some factors, such as the difference of region, business and so on. References [1] ZHANG Shuping, JING Yajie. Research of evacuation crowd in the business hall of large department stores[j]. Fire Science and Technology, March 004,Vol 3, No.:134-136. [] GB50016-006. Fire protection design of buildings[s]. [3] ZHANG Shuping, Mengchuan. Research of evacuation crowd in the business hall of the medium-sized shopping mall [A] // Proceedings of 005 China association for science and technology seminars at the venue 4 [C]. 3-38.