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Optimizing Scheduling for Academic Meetings: Minimizing Makespan and Managing Breaks

An analysis of optimizing scheduling for academic meetings, focusing on minimizing makespan and efficiently managing breaks to enhance productivity.

Ryan Scott
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Optimizing Scheduling for Academic Meetings: Minimizing Makespan andManaging Breaks1.My colleagueDrWuwishes to visit all the attractionsin the Park of AssessmentThree.(For ease of reference,directdistances withinthepark are given below.)roadELEPEGLWLTLPGPGWTWTPPWlength(m)170350240530290330240600250220240Use the nearest-neighbour method to find such routes.Which is the shortest? Are anyof themHamiltonian cycles?Given Data:Road lengths (in meters) between various locations in the Park of Assessment Three:Nearest-Neighbor Method:The nearest-neighbor method involves starting at a particular point (e.g., Entrance (EL)) andselecting the closest unvisited point at each step until all points are visited.Steps for Nearest-Neighbour Method:1.Start at EL(Entrance)2.Find the nearest point:The distances from EL to other locations are:oEL to EP = 170oEL to EG = 350oEL to LW = 240oEL to LT = 530oEL to LP = 290oEL to GP = 330oEL to GW = 240oEL to TW = 600oEL to TP = 220oEL to PW = 240The closest point isEP(170 meters).3.From EP, find the nearest point to EP that has not been visited:The remaining points are:oEP to EG = 240oEP to LW = 530oEP to LT = 290oEP to LP = 330oEP to GP = 240oEP to GW = 600oEP to TW = 250oEP to TP = 220oEP to PW = 240The closest point isEG(240 meters).4.From EG, find the nearest point:The remaining points are:oEG to LW = 530

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Subject
Operations Management

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