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Question: Avis Company is a car rental company that is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 2 minutes. The average traveling time (round-trip) is 20 minutes.

a. How many Avis buses are traveling to and from the airport?

b. The branch manager wants to improve the service and suggests dispatching buses every 0.5 minutes. She argues that this will reduce the average traveling time from the airport to Avis offices to 2.5 minutes. Is she correct? If your answer is negative, then what will the average traveling time be?

Short Answer

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Answer

Little's Law illustrates the relationship between a system's inventory, throughput rate, and flow time. This law states that the inventory level of a system at any given time may be calculated by multiplying the throughput rate and flow time.

The following is a mathematical depiction of Little's Law:

Inventory = Throughout rate x Flowtime

Step by step solution

01

 (a)To begin, calculate the throughput rate and flow time as follows: 

Throughputrate=1busper2minutes=60min/hr2min/bus=30bus/hourFlowtime=20min=2060min/hour=13hour


02

Calculate the number of buses that will be traveling to and from the airport. 

±õ²Ô±¹±ð²Ô³Ù´Ç°ù²â=°Õ³ó°ù´Ç³Ü²µ³ó±è³Ü³Ù°ù²¹³Ù±ð×¹ó±ô´Ç·É³Ù¾±³¾±ð=30bushour×13hour=10buses

10 buses are traveling to and from the airport.

03

(b)The average traveling time would remain is

The branch manager claims that by dispatching buses every 0.5 minutes, the company can cut the average travel time from the airport to the office to 2.5 minutes. The average waiting time for the buses would be reduced if the buses were dispatched every 0.5 minutes. It would, however, have no effect on the average journey time. As a result, it can be argued that the branch manager's reasons are erroneous.

The average journey time would stay the same at 20 minutes.

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