A prominent masseuse is pondering which appointment invitations to accept after receiving a string of them. She requires a 15-minute pause between visits and hence cannot take any subsequent inquiries. Find the optimal (highest total booked minutes) set the masseuse can honour given a sequence of back-to-back appointment requests (all multiples of 15 minutes, none overlap, and none may be changed). Return the time in minutes. Input EXAMPLE: 30, 15, 60, 75, 45, 15, 15, 45 180 minutes output (30, 60, 45, 45).

A prominent masseuse is pondering which appointment invitations to accept after receiving a string of them. She requires a 15-minute pause between visits and hence cannot take any subsequent inquiries. Find the optimal (highest total booked minutes) set the masseuse can honour given a sequence of back-to-back appointment requests (all multiples of 15 minutes, none overlap, and none may be changed). Return the time in minutes. Input EXAMPLE: 30, 15, 60, 75, 45, 15, 15, 45 180 minutes output (30, 60, 45, 45).

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter20: Queuing Theory

Section20.15: Priority Queuing Models

Problem 2P

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To cut an 'n' centimeter-long gold bar into 2 pieces costs $n. When a gold bar is cut into many pieces, the order in which the cuts occur can affect the total amount of costs. For example, to cut a 20 centimeter gold bar at length marks 2, 8, and 10 (numbering the length marks in ascending order from the left-hand end, starting from 1). If the cuts to occur in left-to-right order, then the first cut costs $20, the second cut costs $18 (cutting the remaining 18 centimeter bar at originally length mark 8), and the third cut costs $12, totaling $50. If the cuts to occur in right-to-left order, however, then the first cut costs $20 time, the second cut costs $10, and the third cut costs $8, totaling $38. In yet another order, the first cut is at 8 (costing $20), then the 2nd cut is at 2 (costing $8), and finally the third cut is at 10 (costing $12), for a total cost of $40. Given an 'n' centimeter-long gold bar G and an array C[1..m] containing the cutting points in ascending order): a.…
A popular masseuse receives a sequence of back-to-back appointment requestsand is debating which ones to accept. She needs a 15-minute break between appointments andtherefore she cannot accept any adjacent requests. Given a sequence of back-to-back appointment requests (all multiples of 15 minutes, none overlap, and none can be moved), find the optimal(highest total booked minutes) set the masseuse can honor. Return the number of minutes.EXAMPLEInput: {30, 15, 60, 75, 45, 15, 15, 45}Output180 minutes ({30, 60, 45, 45})
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