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<p>Vehicle numbers have been on the increase with the current growth in the economy and the rise of the middle income social status, thus allocation of parking space becomes a problem which needs to be addressed over parked lots. This study addresses the optimization of parking lot design and obtaining optimum parking spots for vehicles. Types of parking designs are in two main categories: parallel parking and angular parking. Techniques in mathematical Linear Programming are utilized in an effort to increase and maximize the capacity of vehicles parked in the lot. The study investigates different angles of inclination to determine the angle that best optimizes the available space. Five angles, mathematical special angles, are evaluated to determine the combination that provides the optimal number of spots. Mixed integer linear programing (MILP) and integer linear programing are used for optimization formulation. LINDO and LINGO API software are used for analysis. The results show that the parking lot using linear programing can accommodate 41 parking spots at an angle of 75⁰.</p>

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A mathematical model for optimization of vehicle parking space

  • 期刊论文

  • 发表日期：

    2025年2月4日

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  • James Thubii Maina,
  • Grace Wambui Gachigua,
  • Dominic Makaa Kitavi,
  • Erastus Millien Kawira

摘要

Vehicle numbers have been on the increase with the current growth in the economy and the rise of the middle income social status, thus allocation of parking space becomes a problem which needs to be addressed over parked lots. This study addresses the optimization of parking lot design and obtaining optimum parking spots for vehicles. Types of parking designs are in two main categories: parallel parking and angular parking. Techniques in mathematical Linear Programming are utilized in an effort to increase and maximize the capacity of vehicles parked in the lot. The study investigates different angles of inclination to determine the angle that best optimizes the available space. Five angles, mathematical special angles, are evaluated to determine the combination that provides the optimal number of spots. Mixed integer linear programing (MILP) and integer linear programing are used for optimization formulation. LINDO and LINGO API software are used for analysis. The results show that the parking lot using linear programing can accommodate 41 parking spots at an angle of 75⁰.