is there any research work for finding the optimal number of parking bays for the estimated parking demand? which can help in finding the number of parking bays for the given duration....
I don't really understand your question, but hopefully this will help you.
Usually, there are laws with minimum or maximum parking bays and dimension requirements. If this is not available at your location, then you can estimate it using references from other locations or your own observational records.
You can estimate the demand given the conditions of the project. For this, you can use ITE Parking Generation, 4th edition or ITE Trip Generation 10th edition. These are based on empirical observations and trendlines, for instance, depending on the amount of beds of a hotel, or the tables at a restaurant, the constructed area of a school, etc. you can estimate the observed parking.
Keep in mind that this is based on observations in the US, so your location may have different conditions. The other issue is that these amounts of parking are not necessarily healthy for the city nor your project, because those are minimum parking requirements.
Now, if your question goes towards how to arrange these parking spots once you know the amount of bays you need, i.e. the parking lot layout, then that is geometric design. You need special dimensions for delivery trucks, customer vehicles, and accessible spaces for handicapped people, bicycle parking, etc. Most of these dimensions are standardized. The lane dimensions depend on the angle of parking and vehicle dimensions, turning radii, if your will use one way or two way traffic per access lane, traffic circulation, pedestrian circulation and so on, that ensures minimal space but adequate and safe operations. And of course, all of these goes hand in hand with the available space.
If you have to do this very often, there are software solutions like Transoft ParkCAD and a special tool in AutoCAD Civil 3D, but I have not personally used them.
If you are looking for on-street parking that is a different story.
I mean, parking is a whole area of transportation, but I would suggest you this well-made document from the University of Houston which covers the basics on some topics: http://www.uh.edu/facilities-services/departments/fpc/design-guidelines/09_parking.pdf
thank you for sharing the info related to parking design requirements, but in my problem i have got the parking demand for terminal , in that need to evaluate the optimum number of parking bays...
Oh, ok. In that case, the best I can think of is Chapter 5 of Urban Transit Systems and Technology from Vuchic, but still, there is no magical number for the amount of bays. I would focus more on a given number of bays and analyze its operation by using queueing theory.
Parking supply is usually set at 85% of the total demand. If you have a time series over the year then arrange these by order of magnitude. The 85% is a bit arbitrary as it depends on the type of facility that you are designing it for. If you look at the data arranged from low to highest, then what you are looking for is the abrupt change in the slope of the line connecting the data points. This is called the knee, where it bends upwards sharply. That is the point deemed optimal. But it depends on many other factors, such as what other opportunities exist for the major events when demand is high, can it be supplied eslewhere etc. Look at this report http://www.nzta.govt.nz/assets/resources/research/reports/453/docs/453.pdf