The Analysis of Parking Problems at Huaxi Hospital Xue-dong Liang1, Chao Ji2, Qi-gang Ran3, Li Liu4 1, First Author, Corresponding Author Business School, Sichuan University, Chengdu 610065, China Business School, Sichuan University, Chengdu 610065, China 3 West China Hospital, Sichuan University, Chengdu 610041, China 4 West China Hospital, Sichuan University, Chengdu 610041, China (1 liangxuedong@scu.edu.cn, 2815481560@qq.com, 3 W85259717@163.com,4yjhll@163.com) 2, Abstract - A systematic analysis of factors that affect parking in Huaxi hospital is proposed. The relative importance of improvable factors is ranked by Grey Relevancy Theory. It demonstrates that the parking demand of employees, the efficiency of parking and traffic order are the key factors that limit the hospital’s parking capability. Parking demand and supply situation are estimated and different characterization of each crowd of hospital travelers is also analyzed in order to provide valuable information to address the problems. Keywords - hospital; parking; Grey Relational Analysis I. INTRODUCTION The problem of insufficient parking facilities is a problem that plagues many urban areas in North America, Europe, and Asia [1]. Due to the fast development of China’s economic and the rapid growth of motorization, parking problems at big cities are becoming more acute in China. On one hand, the parking resource do not increase much as time pass by; on the other hand, the demand for parking resource has been continuously growing these years. Between 8% and 74% of traffic is generated by cruising for parking and the average time to find a curb space can vary between 3.5 and 14 minute [2]. The imbalance between supply and demand of parking resource has become distinct. Cars cruising for parking would further exacerbate traffic congestion and noise problems, originate accidents, waste fuel and other resources, pollute the air, degrade the pedestrian environment, and restrain levels of accessibility. This is not only because the distance traveled, but also frequent stopping and starting of cars [3]. Most Chinese super hospitals are centralized in big cities. And these hospitals were usually developed from their former buildings, whose layout lack of advanced concerning about parking or flow line of cars [4]. It is common to see cars queuing on the road to park, encumbering traffic around the general hospital in China. West China Hospital of Sichuan university is a super hospital with 4 300 beds [5]. Although the hospital covers an area of 7.8 million square meters in urban of Chengdu, the road around the hospital seems to be over crowed with both people and cars. Parking has been a headache for patients and visitors of the hospital. The difficulty of parking not only causes the serious traffic jam around hospitals at peak hours, but also damages the experience of patients going to the hospital and gains the risk of traffic accident [6]. Improving the parking situation has been listed in the agenda of the hospital’s administrators. This paper intends to analysis the parking system of Huaxi hospital and find out the key factors that affect the parking problems. The result may make it possible that some targeted measures can be taken to ease the parking difficulty of the hospital. II. PARKING DEMAND AND SUPPLY ANALYSIS A. The Supply of Parking Places The capacity of parking lots in Huaxi hospital is 2225 in total, including 269 extended parking places. The extended parking places were planned by taking full use of the road in the parking lots to meet the growing parking demand. The extended parking places often need skill and sufferance to park successfully. Concerning the special need of emergency patients and the ability to response to some emergency situations, an on the ground parking lot with the only access of emergency patients was planed. Besides, the standard of charge for parking in the hospitals was set officially which is lower than parking in other areas of the urban city. The capacity of different types of parking lots in Huaxi hospital was displayed in Table 1. These data show that 34.6% of the parking places (PA) were planned for employees of the hospital and 60.2% of the parking places were planned for patients and their visitors. B. The Survey of Demand for Parking in Huaxi Hospital 1) Objective: The aim of the survey is to figure out the characteristics of different crowds of people parking in the hospital. Different arriving time of each crowd of travelers was taken into consideration in the survey. 2) Results of the Survey The travelers parking in the hospital can be sorted as employees, patients and visitors. The arriving time of different populations is identical. The distribution of each crowd of travelers’ parking demand on time was illustrated in Figure 1, based on the data provided by the security section of the hospital. Characteristics of each crowd parking in the hospital are as follow: Employees: The peak period of staff’s parking demand is between 7:00-8:00 a.m. Parking places for employees (PA) are likely to be fully occupied between 09:00-10:00 and 14:00-15:00. The parking demand of employees is mainly centered between 7:00-8:00 a.m. The parking period of employees is always their working time, which is usually fixed. So the turnover rate of employees’ parking is low. Common Patients: The peak time of outpatients’ parking demand is between 8:00-9:00 a.m. Parking places for common patients (PB) are likely to reach the saturation point between 09:00-10:00 a.m., which is usually the most jamming period of the day. Visitors: There are a considerable portion of cars parking in the hospital to visit the patients. Most of these visitors usually come between 09:00-10:00 a.m. The parking demand of visitors should have no significant peak time due to the flexibility of their arriving time. Emergency Patients: There is no regular pattern about the arriving time of emergency patients. But it is definitely troublesome for them to arrive on time when the traffic jam is severe during peak periods. C. Conclusions of the supply-demand analysis about parking places Although the capacity of parking places in Huaxi hospital is higher than that the existing index system for construction of supporting parking lots for hospital buildings has prescribed, total supply of parking places in Huaxi hospital is not enough to meet the demand in peak hours of the day. The distinct imbalance between supply and demand often leads to serious traffic jam between 09:00-11:30 and 14:00-15:00 of the day. The parking demand of patients is usually considered to be “rigid”, which means that if there is no parking place available, they will queue on the road or cruising in the area until they successfully parked [7]. As the hospital is always crowed with people during daytime and drivers of cars trying to park in the area are likely to have an anxiety mood [8], large quantity of cars jamming on the road or cruising in the area could be a big risk for traffic accident. Bad traffic situation of hospitals leads to serious noise and air pollution, which damaged the quiet and harmony atmosphere of the hospital [9]. TABLE I. PARKING LOTS OF HUAXI HOSPITAL Types Allocation PA PB PC PD Capacity of extended parking places 39 22 46 0 0 Summary PA1 PA2 PA3 PA4 PB1 Capacity of standard parking places 100 88 271 204 62 62 2.8% PB2 PB3 PB4 PD1 summary 182 317 699 33 1956 0 71 71 20 269 1340 60.2% 53 2225 2.4% 100% 770 % of total supply 34.6% Objectives to serve Employees Figure 1. Distribution of parking demand Emergency patients only Common patients and their visitors Others III. FACTORS AFFECT THE PARKING PROBLEM IN HUAXI HOSPITAL r ( x0 , x1 ) A. Introduction about Grey Relational Analysis (GRA) Grey relational analysis was pioneered by Deng Julong in 1984, which aims at analyzing the relationships among things, having incomplete running mechanism, lacking of behavior data, devoid of experience in treatment, being naked to inherent connotation [10]. The basic steps and algorithms of GRA are as follow[11]: Step one, to define data series. Assume X 0 = {X 0 (k) | k = 1,2, ^ , n} is a sequence of data representing a system’s characteristics, and are comparative series; Step two, dimensionless treatment for data series. X j (k ) x j (k ) x1 (1) , k 1,2,, m (1) Step three, to calculate the grey relational coefficients. By taking differences as Δ i (k) = | x 0 (k) - x1 (k) | , we thus have the following difference series Δi (k). So the grey relational coefficients are: r ( x0 (k ), xi (k )) Step four, to calculate the grey relational grades. min i min k i (k ) max i max k i (k ) (2) i (k ) max i max k i (k ) 1 n r ( x0 (k ), xi (k )), k 1,2,, n (3) n k 1 Step five, to rank grey relational grades basing on the size of r(x0, xi). B. Factors Affect the Parking Problem of Hospital The construction of supporting parking lots for hospitals was restricted by the available land, cost, and location of the hospital and has to take humanism landscapes into consideration. While continuously increasing the supply of parking resource is not the only or best way to solve the problem [12]. The scale of parking lots of hospitals should be fixed by taking a systematic investigation of the problem and figure out the key factors. Figure 2 gives the analysis of the factors concerning the parking problem of hospitals by using fishbone chart [13] [14] [15]. Most of these factors should be considered at the building’s planning and construction period to figure out the appropriate capacity of parking places the hospital should provide. According to the actual situation of Huaxi hospital, factors change at the different period of the day are as fellow: x1 parking demand of employees, x2 quantity of outpatients, x3 cars on the road, x4 visitors of patients, x5 parking efficiency, x6 traffic order, x7 level of supply saturation, x8 use turnover of parking lots. Facilities Planning Demand for Parking Scale of Parking Lots Barrier-free design Quantity of Outpatients scale of hospitals Quantity of Visitors Entrance and Exit of Parking Lots Humanism Landscapes of Buildings Building layout and streamline design Temporal Distribution of Parking Demand Rational Use of Parking Places Traffic Order Public Transportation Parking Problems of Hospitals Arriving Pattern of Patients Cars on the Road Charge Efficiency Of Parking Process for Parking Quantity of cars kept by residents in the area Pedestrians in the area Demand for Parking of Employees Management Others Figure 2. Factors concerning parking problems of hospitals Guidance Measures C. Grey Relational Analysis of Parking Problems According to the survey in part II and the opinions of the administrators, 7 typical periods of a specific day was selected to analyze the parking problems using GRA. Ti (i = 1, 2… 7) was defined to represent time period 07:0008:00, 08:00-09:00, 09:00-10:00, 10:00-11:00, 14:0015:00, 17:00-19:00, 20:00-21:00. Quantified data was showed in table 2. Row x0 represents the level of difficulty to park. Fundamental Research Funds for the Central Universities in Sichuan University. REFERENCES [1] [2] TABLE II. RAW DATA OF PARKING ISSUE [3] T1 T2 T3 T4 T5 T6 T7 x0 1 0.8 0.6 0.4 0.8 1 1 x1 1 0.8 0.6 0.4 0.8 0.4 0.4 x2 0.4 1 1 1 1 0.8 0.4 x3 0.8 0.8 1 1 0.8 0.6 0.4 x4 0.2 0.4 1 0.8 0.8 0.4 0.2 x5 1 0.8 0.6 0.6 0.8 1 1 x6 1 1 0.6 0.2 1 1 1 x7 0.57 0.85 0.97 1 0.95 0.31 0.19 x8 0.5 0.5 0.8 1 0.8 0.5 0.5 [4] [5] The results of the calculation were listed in table 3, including the ranking. [6] [7] [8] TABLE III. GREY RELATIONAL GRADES x0 x1 x2 x3 x4 x5 x6 x7 x8 r(x 0 ,x i ) 0.880 0.494 0.499 0.602 0.676 0.658 0.591 0.629 ranking 1 8 7 5 2 3 6 4 [9] IV. CONCLUSIONS AND DISCUSSION [10] Because of the centralization and overlapping of parking demand, the supply of parking places in Huaxi hospital cannot meet the demand in peak hours. The characteristics of different kinds of parkers are not identical. According to the calculation in part III, the most significant factor affecting the parking issue of Huaxi hospital is x1 (parking demand of employees), following with x5 (parking efficiency) and x6 (traffic order). The results of this paper may help administrators take some targeted actions to make an optimization of the hospital’s traffic situation. The affecting factors listed in the fishbone chart may also provide a reference for architects when they planning parking places of hospital buildings. ACKNOWLEDGMENT This research is funded by the National Nature Science Foundation of China (71131006; 71020107027; 71192197), the Foxconn Technology Group’s Talent Selection Research Program (11F81210101) and the [11] [12] [13] [14] [15] A. A. Batabyal and P. Nijkamp, “A probabilistic analysis of two university parking issues,” Ann Reg Sci., vol.44, pp. 111–120, Apr. 2008. Mariano Gallo, Luca D'Acierno, and Bruno Montella, “A multilayer model to simulate cruising for parking in urban areas,” Transport Policy, vol. 10, no. 1016, pp. 735–744, Feb. 2011. Mei-Ting Tsai, Chih-Peng Chu, “Evaluating parking reservation policy in urban areas: An environmental perspective” Transportation Research Part D: Transport and Environment., vol. 10, no. 1016, pp:145-148, Oct.2011. Ge Lun and Gu Jingxian, “On the reparation and construction of communication system in old hospitals: an example of the additional on-site streets in Erdos Central Hospital” (in Chinese), Urbanism and Architecture, vol. 10, no. 44, pp. 34-36,Apr. 2011. Yang Tiangui, Zeng Zhi, Cheng Yongzhong, “The discussion on management model of West China Hospital,” (in Chinese), Chinese Health Quality Management, vol. 15 no. 80, pp. 13–17, Jan. 2008. Jia Feng, “The feasibility study about hospital mitigate parking problem by shared parking,” (in Chinese),Shanxi Architecture., vol. 37, no. 12, pp. 26–27, Apr. 2011. Bo Le, “Research on influence on choice of travel mode from parking fee prieing in Beijing” (in Chinese) , Doctoral dissertation, Industry Economics, Univ. Beijing Jiaotong, Beijing, 2011. Ge Lun, Zhang Yong, “The solving strategies of large hospital’s transportation problem,” (in Chinese),Chinese Hospital Architecture & Equipment., pp. 50–56, Nov. 2011. Zhao Qixia, Cao Jianzhao, Zhou Weibing, Liu Xiaodan, Wang Kui, Wang Jun, “Study of China’s supporting standard of parking lots for hospital buildings” (in Chinese), Chinese Hospital Architecture & Equipment, pp. 15-17, 2009. Deng Julong,The primary methods of gry system theory. 2nd ed, Wuhan: Huazhong University of Science and Technology Press, 2005, pp. 74-106. Liu Yang, Xie Junqiao, “The analysis of affecting factors of regional logistics – taking Sichuan province for example” (in Chinese), China Business & trade, pp. 123124, 2011. Wen Deliang, Yang Hua. “Parking problems and solutions of super hospitals” (in Chinese), Chinese Hospital Management, vol. 25,pp. 63, Oct. 2005. Fan Linhua, “On open general hospital traffic organization,” (in Chinese), Chinese Hospital Architecture & Equipment., pp. 64–65, Sep. 2011. Lu Ji, Fang Qing, “Humanization analysis of traffic in hospital architecture site planning” (in Chinese), China Investigation and Design., pp. 15–17, Agu. 2005. Li Lei, “The study of pre-transport planning of modern general hospital—case study of Xi'an” (in Chinese) , Doctoral dissertation, Architechural Design and Theory, Univ. University of Architecture and Technology, Xi’an, Shan xi, 2011.