Yuckdonald's is considering opening a series of restaurants along Quaint Valley Highway (QVH). The n possible locations are along a straight line, and the distances of these locations from the start of QVH are, in miles and in increasing order, m₁. m₂., m. where each m, is an integer (for i=1,2,,n). The constraints are as follows: 1) At each location. Yuckdonald's may open at most one restaurant. The expected profit from opening a restaurant at location i is p.. where p, > 0 and i=1,2,..., n. 2) Any two restaurants should be at least & miles apart, where k is a positive integer. Give an efficient algorithm to compute the maximum expected total profit subject to the given constraints.

Yuckdonald's is considering opening a series of restaurants along Quaint Valley Highway (QVH). The n possible locations are along a straight line, and the distances of these locations from the start of QVH are, in miles and in increasing order, m₁. m₂., m. where each m, is an integer (for i=1,2,,n). The constraints are as follows: 1) At each location. Yuckdonald's may open at most one restaurant. The expected profit from opening a restaurant at location i is p.. where p, > 0 and i=1,2,..., n. 2) Any two restaurants should be at least & miles apart, where k is a positive integer. Give an efficient algorithm to compute the maximum expected total profit subject to the given constraints.

Database System Concepts

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ISBN:9780078022159

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

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

Chapter1: Introduction

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Yuckdonald's is considering opening a series of restaurants along Quaint Valley Highway (QVH). The n possible locations
are along a straight line, and the distances of these locations from the start of QVH are, in miles and in increasing order. m₂.
m₂., m. where each m, is an integer (for i=1,2,,n). The constraints are as follows:
1) At each location, Yuckdonald's may open at most one restaurant. The expected profit from opening a restaurant at location
i is p.. where p > 0 and i = 1,2,...,n.
2) Any two restaurants should be at least & miles apart, where k is a positive integer.
Give an efficient algorithm to compute the maximum expected total profit subject to the given constraints.

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