Consider a Design-and-Build project of a single-entrance toll plaza awarded to XYZConstruction Corp. Based on the traffic surveys conducted during planning phase, it was found out that the present travel demandalong the existing highway isfollows a negative exponential distributionwith a mean of 4XYZkph. On the other hand, the company received three bid proposals of equipment that they may install in the toll servers with their corresponding service rates: Equipment I(random service)0.7Xseconds per vehicleEquipment II(random service)0.5+Y/100seconds per vehicleEquipment III(regular service)0.8Zseconds per vehicleIn addition, the demand is projected to increase annually by a factor of 1.3Z. If you are the transport planner tasked to design the toll facility, determine the following5years hence: i.The average waiting time of vehicles if Equipment Iwill be installed. ii.The average time spent in the system if Equipment IIIwill be installed. iii.What equipmentwould you recommend as the most efficient (most efficient pertains to the least time a vehicle spends in the system. Hint: solve theparameter,?̅for each equipment that relates to efficiency
Consider a Design-and-Build project of a single-entrance toll plaza awarded to XYZConstruction Corp. Based on the traffic
Equipment I(random service)0.7Xseconds per vehicleEquipment II(random service)0.5+Y/100seconds per vehicleEquipment III(regular service)0.8Zseconds per vehicleIn addition, the demand is projected to increase annually by a factor of 1.3Z. If you are the transport planner tasked to design the toll facility, determine the following5years hence:
i.The average waiting time of vehicles if Equipment Iwill be installed.
ii.The average time spent in the system if Equipment IIIwill be installed.
iii.What equipmentwould you recommend as the most efficient (most efficient pertains to the least time a vehicle spends in the system. Hint: solve theparameter,?̅for each equipment that relates to efficiency
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