A seven-story office building has 15 adjacent offices per floor. Each office contains a wall socket for a terminal in the front wall, so the sockets form a rectangular grid in the vertical plane, with a separation of 4 m between sockets, both horizontally and vertically. Assuming that it is feasible to run a straight cable between any pair of sockets, horizontally, vertically, or diagonally, how many meters of cable are needed to connect all sockets using a. (a) a star configuration with a single router in the middle? b. (b) an 802.3 LAN?

A seven-story office building has 15 adjacent offices per floor. Each office contains a wall socket for a terminal in the front wall, so the sockets form a rectangular grid in the vertical plane, with a separation of 4 m between sockets, both horizontally and vertically. Assuming that it is feasible to run a straight cable between any pair of sockets, horizontally, vertically, or diagonally, how many meters of cable are needed to connect all sockets using a. (a) a star configuration with a single router in the middle? b. (b) an 802.3 LAN?

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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Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.

Question

A seven-story office building has 15 adjacent offices per floor. Each office contains a
wall socket for a terminal in the front wall, so the sockets form a rectangular grid in the
vertical plane, with a separation of 4 m between sockets, both horizontally and
vertically. Assuming that it is feasible to run a straight cable between any pair of
sockets, horizontally, vertically, or diagonally, how many meters of cable are needed to
connect all sockets using
a. (a) a star configuration with a single router in the middle?
b. (b) an 802.3 LAN?

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