Using Dynamic Programming, create a efficient java code to solve the problem.

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
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Using Dynamic Programming, create a efficient java code to solve the problem.

Large telescopes, like the Hubble Space Telescope, face high demand
from astronomers requesting observation time. In a simplified problem of
scheduling observations on a telescope, we are given a list, L, of
observation requests, where each request, i, consists of a requested start
time, S₁, (the moment when a requested observation should begin), a finish
time, fi, (the moment when the observation should finish and a positive
numerical benefit, bi, which is an indicator of the scientific gain to be had
by performing this observation. Two requests, i and j, conflict if the time
interval [Si, fi], intersects the time interval, [sj, fj]. Schedule observation
requests in a non-conflicting way to maximize the total benefit of the
observations that are included in the schedule.
Transcribed Image Text:Large telescopes, like the Hubble Space Telescope, face high demand from astronomers requesting observation time. In a simplified problem of scheduling observations on a telescope, we are given a list, L, of observation requests, where each request, i, consists of a requested start time, S₁, (the moment when a requested observation should begin), a finish time, fi, (the moment when the observation should finish and a positive numerical benefit, bi, which is an indicator of the scientific gain to be had by performing this observation. Two requests, i and j, conflict if the time interval [Si, fi], intersects the time interval, [sj, fj]. Schedule observation requests in a non-conflicting way to maximize the total benefit of the observations that are included in the schedule.
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