Team 2053 5of30 B refers to the time it takes for a person to stow their baggage into the overhead bin. B is assumed to be constant for our preliminary mathemat- ical analysis; it is allowed to change in the simulation. Refer to section 7.5 for more information about variation of B v refers to the walking speed of the passengers. It is assumed to be constant throughout the model. See section 4 for an explanation. s refers to the time it takes for an already seated passenger to get up and get out to let another passenger pass. It is assumed to be constant for nathematical analysis but is allowed to vary in the simulation A refers to the rate at which people enter the plane through the main door This value is assumed to be constant as any deviations in time between passengers is mitigated by walking down the jet-bridge to the plane 4 Assumptions We make the following assumptions about airplane boarding process in this Passengers with physical limitations, families with infants, and passengers extremely advanced in years board the plane before other passengers for their own safety and comfort. We assume that these passengers might perhaps with the assistance of fight attendants. The time taken for this pre-boarding is assumed to be a constant overhead that airlines cannot First class passengers are boarded separately. The existence of a first class in our view means that they require first class treatment: a first class section where passengers have to fight through the proletarian masses is antithetical to the very idea of a"first"class. We can either assume a single-class plane, or model the first class separately( see section 11) All passengers boarding the plane during general boarding walk at ap- proximately the same speed. Since we assume passengers of extremely limited mobility are already aboard the plane, this is plausible. Further more, the walking speed is limited more by the environment (aisle size people in the way) than the persons innate maximum physical capacity Passengers board independently and walk independently, that is, we have no groups waiting for each other or slowing in line. For families we might ssume that they are assigned seats next to each other, which satisfies their bonding and closeness desires We confine our analysis to the interior of the plane. That is, we ignore ter minal effects(anything outside the plane door)) beyond requiring that the gate agents can supply us with passengers at a certain(typically constantTeam 2053 5 of 30 • B refers to the time it takes for a person to stow their baggage into the overhead bin. B is assumed to be constant for our preliminary mathemat￾ical analysis; it is allowed to change in the simulation. Refer to section 7.5 for more information about variation of B. • v refers to the walking speed of the passengers. It is assumed to be constant throughout the model. See section 4 for an explanation. • s refers to the time it takes for an already seated passenger to get up and get out to let another passenger pass. It is assumed to be constant for mathematical analysis but is allowed to vary in the simulation. • λ refers to the rate at which people enter the plane through the main door. This value is assumed to be constant as any deviations in time between passengers is mitigated by walking down the jet-bridge to the plane. 4 Assumptions We make the following assumptions about airplane boarding process in this paper. • Passengers with physical limitations, families with infants, and passengers extremely advanced in years board the plane before other passengers for their own safety and comfort. We assume that these passengers might need the plane to be relatively empty to successfully reach their seat, perhaps with the assistance of flight attendants. The time taken for this pre-boarding is assumed to be a constant overhead that airlines cannot avoid. • First class passengers are boarded separately. The existence of a first class in our view means that they require first class treatment: a first class section where passengers have to fight through the proletarian masses is antithetical to the very idea of a “first” class. We can either assume a single-class plane, or model the first class separately (see section 11). • All passengers boarding the plane during general boarding walk at ap￾proximately the same speed. Since we assume passengers of extremely limited mobility are already aboard the plane, this is plausible. Further￾more, the walking speed is limited more by the environment (aisle size, people in the way) than the person’s innate maximum physical capacity. Passengers board independently and walk independently, that is, we have no groups waiting for each other or slowing in line. For families we might assume that they are assigned seats next to each other, which satisfies their bonding and closeness desires. • We confine our analysis to the interior of the plane. That is, we ignore ter￾minal effects (anything outside the plane door)) beyond requiring that the gate agents can supply us with passengers at a certain (typically constant) 5