Answered: A car rental company has three…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

In a previous exercise, you were asked to model the following scenario with a directed network.

A car rental company has three locations in Mexico City: the International Airport, Oficina Vallejo, and Downtown. Customers can drop off their vehicles at any of these locations. Based on prior experience, the company expects that, at the end of each day, 10% of the cars that begin the day at the Airport will end up Downtown, 60% will return to the Airport, and 30% will be at Oficina Vallejo. Similarly, 60% of the Oficina Vallejo cars will end up Downtown, with 10% returning to Oficina Vallejo and 30% to the Airport. Finally, 10% of Downtown cars will end up at each of the other locations, with 80% staying at the Downtown location.

This scenario can also be investigated using a discrete-time population model.

Consider a system of three equations (as in Example 6.23) giving A_n, V_n, and D_n each as functions of A_n − 1, V_n − 1, and D_n − 1. Suppose that, initially, A₀ = 1000,V₀ = 0, and D₀ = 0.

Use your system to compute A₂, V₂, and D₂.

A₂	=
V₂	=
D₂	=

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