Question 4
A popular conference is being held, and there are several types of seats: VIP, Regular, and Economy. Each type of seat has a limited number of available spots. Each attendee has a preference for the type of seat they want, and the total number of attendees is greater than the number of available seats. The goal is to allocate the seats to attendees such that each attendee is assigned to their preferred seat type, and no seat type exceeds its capacity.
How can the given problem of allocating seats to attendees based on their preferences and seat type capacities be effectively solved?
Using a greedy algorithm to assign seats based on attendee preferences.
Modeling the problem as a maximum flow network with capacities representing seat limits and flows representing the number of attendees assigned to each seat type.
Implementing a first-come, first-serve approach without considering the preferences or seat type capacities.
Assigning all attendees to the VIP seats first and distributing the remaining attendees among Regular and Economy seats.