Team 2056 Page 7 of 50 The researchers define an ordering relation between passengers. Each passenger can then be assigned a pointer which points to the last passenger that blocked their path. By following the trail of pas- sengers, the longest chain in the ordering ending at any particular passenger can be identified. This identifies the number of rounds that is needed for the simulation 1.2.2 Other Simulation Studies In 'A simulation study of Passenger Boarding Times in Airplanes H Van Landeghem argues emphatically the two-fold benefits of min- imizing total boarding times. Prolonged boarding not only degrades customers' perception of quality but also determines total airplane turnaround time and therefore airline efficiency. In his paper, Lan deghem defines total boarding time as the interval between the point the first passenger enters the plane to the point the last passenger is seated in his/her assigned seat. To determine the ideal boarding procedure, Landeghem simulates different patterns of boarding se- quences in Arena. His simulations are based on an airplane with 132 seats divided into 23 rows with Row 1 and 23 having 3 seats and the others having 6. Through the simulations, the first objective is o reduce total boarding time. The second objective is to augment the quality perception of the passengers by evaluating the average and maximum individual boarding times as seen by the passenger For a further discussion of this model, please see Appendix A 2 Model overview Research into airplane boarding has taken several approaches. Ana lytic approaches to the problem are extremely rare, due to its intrin- sically high parallelism and significant stochastic variability. Most approaches are simulative in nature. Simulation allows for the com- plexity of the problem to be distributed, and hence presents a sim considered a stochastic agent-based approac e model which can be pler formulation. We here present a simulative Our preliminary model (this model is contained in Appendix B) treats the plane as a line, with destinations(seats) at regular dis-Team 2056 Page 7 of 50 The researchers define an ordering relation between passengers. Each passenger can then be assigned a pointer which points to the last passenger that blocked their path. By following the trail of pas￾sengers, the longest chain in the ordering ending at any particular passenger can be identified. This identifies the number of rounds that is needed for the simulation. 1.2.2 Other Simulation Studies In ’A simulation study of Passenger Boarding Times in Airplanes,’ H. Van Landeghem argues emphatically the two-fold benefits of min￾imizing total boarding times. Prolonged boarding not only degrades customers’ perception of quality but also determines total airplane turnaround time and therefore airline efficiency. In his paper, Lan￾deghem defines total boarding time as the interval between the point the first passenger enters the plane to the point the last passenger is seated in his/her assigned seat. To determine the ideal boarding procedure, Landeghem simulates different patterns of boarding se￾quences in Arena. His simulations are based on an airplane with 132 seats divided into 23 rows with Row 1 and 23 having 3 seats and the others having 6. Through the simulations, the first objective is to reduce total boarding time. The second objective is to augment the quality perception of the passengers by evaluating the average and maximum individual boarding times as seen by the passengers. For a further discussion of this model, please see Appendix A. 2 Model Overview Research into airplane boarding has taken several approaches. Ana￾lytic approaches to the problem are extremely rare, due to its intrin￾sically high parallelism and significant stochastic variability. Most approaches are simulative in nature. Simulation allows for the com￾plexity of the problem to be distributed, and hence presents a sim￾pler formulation. We here present a simulative model which can be considered a stochastic agent-based approach. Our preliminary model (this model is contained in Appendix B) treats the plane as a line, with destinations (seats) at regular dis-