Queueing theory is to simulate massive servicing processes, such as the parkings operation processes. To optimize such kind of proccesses, by example for determining the optimal quantity of servicing estations, it is required to involve the simulation procedure in an optimization cycle. If you gave me more details about your system perhaps I could give you more detailed advices .

You can use queuing theory if you define your values, costs, and incentives for constructing more or less parking.

Dear Robby,

yes, you can use queueing theory to optimize parking area.

You can apply the Queueing Model:

M/M/S/N

S: Number of servers = Capacity of Parking area (in cars)

N = 0: Queuing Capacity = No waiting time

For details, see the Pages 536 ---- 539 and the Example 8.1.3 (Pages 541-542) in the Chapter

"Queueing Models for Solving Economic Problems" (only in polish)

https://www.researchgate.net/publication/314281833_Queueing_Models_for_Solving_Economic_Problems

Good luck and best regards

Anatol Badach

Chapter Queueing Models for Solving Economic Problems

Following research publications could help

Article Application of the Queuing Theory in the Planning of Optimal...

Article Proposal and Application of Parking Area Performance Measure...

Article Parking facilities and the built environment: Impacts on tra...

Dear Robby

one of the interesting book in this regards which include a chapter describing this method belong to Kadiyali in his text book ..

bookslock.org/traffic-engineering-transport-planning-book-dr-l-r-kadiyali/ 

Dear Robby Yudo Purnomo

I suggest for you the following ref:

Best regards