2004 Fiscal Year Final Research Report Summary
Mathematical model on staying time distributions of visiting cars in sightseeing places
| Project/Area Number |
14530075
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
経済政策(含経済事情)
|
|---|
| Research Institution | Aichi University |
|---|
Principal Investigator |
FYKUI Mikihiko Aichi University, Faculty of Economics, Professor, 経済学部, 教授 (50132220)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
HIGUCHI Yoshiharu Aichi University, Faculty of Economics, Professor, 経済学部, 教授 (00131128)
SUZUKI Naomichi Matsumoto University, Faculty of Comprehensive management, Professor, 総合経営学部, 教授 (70171238)
|
|---|
| Project Period (FY) |
2002 – 2004
|
| Keywords | stochastic process / death rate / Weibull distribution / number of visiting cars / staying time / mathematical analysis / traffic of sight seers |
|---|
| Research Abstract |
The spring facilities of day trip type in San-En-Nanshin region on the border of Aichi, Nagano and Shizuoka prefectures are located in the mountain side. Residents in the cities of Aichi or Shizuoka prefectures can visit there within a few hours by car and can spend comfortable time.
Observation of visiting cars in the three hot spring facilities in San-En-Nanshin region was made. Parking cars were detected at every hour from the opening time (9 or 10) to 17 o'clock on the second Friday and the third Sunday in principle in every moth from October, 2002 to September, 2003. Observations were made 81 days in total. Some cars staying rather short time, for example less than one hour, in those facilities would escape from the observation.
We assume that parking time of visiting cars can be described by a stochastic process, and correct the observed data to obtain the average number of parking cars, and parking time distributions of cars which visit those facilities in every hour. Analyzing the data, we find that the parking time distributions are well described by the integral form of the Weibull distribution, f(t)=C^*exp[-μt^(k+1)/(k+1)], with k=1.
From the corrected parking time distributions, we have estimated the average numbers of visiting cars, and average parking hours. We have compared the characteristics of three facilities using those visiting time dependence, and season dependence. From the uncorrected raw data, which are different from the corrected one about 10%, we have analyzed the regional dependence of visiting cars.
|
