Method for analyzing airline route operation mode selection based on fuel price variation
By analyzing the impact of fuel price changes on individual airline routes and networks, this paper provides a method for airlines to select the optimal route operation mode, solves the problem of profit maximization under fuel price fluctuations in existing technologies, and realizes the formulation of effective operating strategies in a duopoly market.
Patent Information
- Application Number
- CN202310238117.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2023-03-13
- Publication Date
- 2026-01-02
- Estimated Expiration
- 2043-03-13
AI Technical Summary
Existing technologies have failed to effectively help airlines choose the optimal route operation mode to maximize profits in the event of fuel price fluctuations, especially in duopoly markets, and have not taken into account the impact of a fixed number of passengers.
This paper presents an analysis method for airline route operation mode selection based on fuel price fluctuations. By calculating the total profit of an airline's individual route and route network, it analyzes the impact of fuel price changes on airfare, fuel consumption, flight frequency, load factor, and number of seats. It also compares the differences between HS and FC route networks to determine the optimal operating strategy.
It provides airlines with decision support for developing strategies in response to changes in fuel prices, helping them select the optimal route network to maximize profits. It analyzes the impact of fuel price changes on operational metrics through functional expressions, thereby improving fuel efficiency and flight frequency.
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Figure CN116415976B_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The application belongs to the field of civil aviation transportation, and particularly relates to an airline route operation mode selection analysis method based on fuel price changes. BACKGROUND
[0002] With the rapid economic development, the aviation transportation industry has developed rapidly. While the aviation transportation brings convenience to passengers, the problem of increased carbon emissions caused by the aviation transportation has begun to be concerned by people. According to statistics, 2% of the total amount of global human carbon dioxide (CO2) emissions is from aviation transportation emissions. Therefore, more and more countries aim at the carbon emissions of aviation transportation, establish a carbon emissions trading system, and use market mechanisms to more effectively allocate resources and control greenhouse gas emissions. The carbon emissions trading system allocates a certain amount of CO2 emissions to airlines. If the CO2 emissions of the airline exceed the permitted amount, additional emission fees need to be paid, which actually increases the aviation fuel price. The increase in aviation operating costs forces airlines to shift costs to passengers, resulting in reduced revenue and decreased service quality. In summary, according to the influence of fuel price changes on airlines operating a single route, a hub-and-spoke (HS) route network and a point-to-point (FC) route network, the airlines can select the route operation mode to maximize the total profit, and provide auxiliary support for the airlines to make decisions in advance. SUMMARY
[0003] The technical problem to be solved by the present application is to provide an airline route operation mode selection analysis method based on fuel price changes, which overcomes the shortcomings of the prior art. The method takes a duopoly airline monopoly aviation transportation market as the background, and assumes that the number of passengers in the market is fixed and is not affected by the change of fuel price.
[0004] Step 1, determining the total profit of the airline operating a single route;
[0005] Step 2, based on the total profit maximization condition, analyzing the influence of the change of the aircraft fuel price on the flight ticket price, fuel consumption, flight frequency, passenger load factor and flight seat number in the single route;
[0006] Step 3, based on the total profit maximization condition, analyzing the differences in fuel consumption, flight frequency and flight seat number between the HS route network and the FC route network;
[0007] Step 4, determining the influence of the change of the aircraft fuel price on the total profit of the airline operating the HS route network or the FC route network.
[0008] Step 1 includes the following steps:
[0009] Step 1-1, calculate the total cost of the airline operating a single route;
[0010] Step 1-2, calculate the travel cost of passengers;
[0011] Step 1-3, calculate the total number of passengers transported by the airline on a single route;
[0012] Step 1-4, calculate the total profit of the airline operating a single route.
[0013] In Step 1-1, the total cost c of the airline operating a single route is calculated using the following formula:
[0014]
[0015] where g(e, s) represents the aircraft rental cost per flight hour, expressed as The aircraft rental cost per flight hour increases as e decreases, and when e is constant, g(e, s) per passenger decreases as s increases, r represents the unit fuel price, e represents the fuel consumption per seat per flight hour, s represents the number of seats, f represents the flight frequency, k represents the flight time, d represents the flight distance, and β and ε are cost parameters.
[0016] In Step 1-2, the travel cost p' of passengers includes flight ticket prices and delay costs, where the frequency delay cost depends on the airline flight frequency, and the frequency delay cost is represented as The random delay cost depends on the airline flight load factor, and the delay cost is represented as λl, which is calculated using the following formula:
[0017]
[0018] where p represents the flight ticket price, l represents the flight load factor, and γ and λ are demand parameters.
[0019] In Step 1-3, set the total number of passengers in the airline transportation market for a single route to 1, and denote the first airline as A and the second airline as B. The total number of passengers transported by the airline on a single route is calculated using the following formula:
[0020] The total number of passengers transported by airline A q1 is:
[0021]
[0022] The number of passengers served by airline A is q1, the flight ticket price is p1, and the brand loyalty is assumed to be uniformly distributed in the interval [-α, α];
[0023] The total number of passengers transported by airline B q2 is:
[0024]
[0025] The passenger volume served by airline B is q2, the flight ticket price is p2, and the brand loyalty is uniformly distributed in the interval [-α, α];
[0026] The passenger volume is the same only if the passenger ticket price p, flight frequency f, and flight load factor l of the two airlines A and B are the same.
[0027] In steps 1-4, the total profit π1 of airline A operating a single route is:
[0028]
[0029] The total profit π2 of airline B operating a single route is:
[0030]
[0031] where p i represents the flight ticket price of the i-th airline, q i represents the proportion of passengers served by the i-th airline, i takes the value of 1 or 2; q1+q2=1, f i represents the flight frequency of the i-th airline, r i represents the unit fuel price of the i-th airline, e i represents the fuel consumption per seat per flight hour of the i-th airline, s i represents the number of seats of the i-th airline, g(e i ,s i ) represents the unit flight hour aircraft rental cost of the i-th airline, l i represents the flight load factor of the i-th airline.
[0032] Step 2 includes the following steps:
[0033] Step 2-1, determine the first-order partial derivative of the profit function expression with respect to flight ticket price, fuel consumption, flight frequency, and flight load factor, the calculation method is:
[0034]
[0035]
[0036]
[0037]
[0038] where, This represents the first derivative of the total number of passengers transported by airline A, q1, with respect to the flight ticket price, p1.
[0039] Step 2-2: Determine the functional expressions for flight ticket price, fuel consumption, flight frequency, flight load factor, and number of seats. The calculation method is as follows:
[0040]
[0041]
[0042]
[0043]
[0044]
[0045] Steps 2-3: Determine the minimum fuel consumption e under the profit maximization condition. * The minimum value p of the flight ticket price * The maximum value of flight frequency f * The maximum load factor of a flight * The maximum number of seats on a flight, s * The calculation method is as follows:
[0046]
[0047]
[0048]
[0049]
[0050] Among them, intermediate parameters
[0051] When two airlines have the same market share, that is At that time, we obtained:
[0052]
[0053] Steps 2-4 involve differentiating the unit fuel price to determine the trends in fuel consumption, flight ticket price, flight frequency, flight load factor, and number of seats relative to the unit fuel price.
[0054] The calculation method is as follows:
[0055] The trend of fuel consumption relative to the unit fuel price is shown in equation (21):
[0056]
[0057] where d denotes the derivative symbol, f * is a function of e * , the change trend of flight frequency with respect to unit fuel price is the same as the change trend of fuel consumption;
[0058] The change trend of flight load factor with respect to unit fuel price is as formula (22):
[0059]
[0060] p * is a function of l * , so the change trend of flight ticket price with respect to unit fuel price is the same as the change trend of flight load factor;
[0061] The change trend of flight seat number with respect to unit fuel price is as formula (23):
[0062]
[0063] Step 3 includes the following steps:
[0064] Step 3-1, determine the total profit of the airline operating the HS route network or the FC route network: the total profit of the airline A operating the FC route network is:
[0065]
[0066] The total profit of the airline B operating the HS route network is:
[0067]
[0068] Step 3-2, determine the values of flight ticket price p FC , fuel consumption e FC , flight frequency f FC , flight load factor l FC and flight seat number s FC of the airline operating the FC route network under the condition of profit maximization, the calculation method is:
[0069]
[0070]
[0071]
[0072]
[0073]
[0074] Step 3-3, determine the values of flight ticket price P of the airline operating the HS route network under the condition of profit maximization HS , fuel consumption e HS , flight frequency f HS , flight load factor l HS and flight seat number s HS , the calculation method is:
[0075]
[0076]
[0077]
[0078]
[0079]
[0080] Step 3-4, analyze the differences in aircraft fuel consumption, flight frequency and flight seat number under the operation of two different route networks:
[0081] By comparing the following formula (36) and formula (37):
[0082]
[0083]
[0084] Analyze the differences in aircraft fuel consumption under the operation of two different route networks;
[0085] By comparing f FC and f HS , analyze the differences in flight frequency under the operation of two different route networks;
[0086] By comparing s FC and s HS , analyze the differences in flight seat number under the operation of two different route networks.
[0087] Step 4 includes the following steps:
[0088] Step 4-1, determine the total profit difference of the airline operating two different route networks, the calculation method is:
[0089] The total profit difference Δπ1 of airline A operating two different route networks is:
[0090]
[0091] The total profit difference Δπ2 of airline B operating two different route networks is:
[0092]
[0093] Step 4-2, when the fuel price changes, the airline selects which route network to operate to obtain higher profits:
[0094] Deriving the total profit difference function expression with respect to the unit fuel price and rearranging it using symmetry, formula (40) is obtained:
[0095]
[0096] Let Substituting formula (41) into formula (42), formula (42) is obtained:
[0097]
[0098]
[0099] Substituting formula (43) and formula (44) into formula (42), formula (45) is obtained:
[0100]
[0101]
[0102]
[0103] Where the intermediate parameter 0<θ<0.5;
[0104] By comparing the cost coefficient With the demand coefficient That is, it can be judged that when the fuel price changes, the airline selects which route network to operate to obtain higher profits.
[0105] The application also provides a computer readable storage medium, comprising: the computer readable storage medium stores a computer program, characterized in that the computer program is executed by a processor to realize the airline route operation mode selection analysis method based on fuel price changes.
[0106] Beneficial effects: the airline route operation mode selection analysis method based on fuel price changes provided by the application analyzes the impact of fuel price changes on other operation indicators in a single route and route network through function expressions in a market with double oligarchic monopoly competition and unchanged total passenger transport volume. It provides decision support basis for the airline to develop strategies in advance to cope with fuel price changes and maximize profits as much as possible. BRIEF DESCRIPTION OF DRAWINGS
[0107] The above and / or other aspects of the present application will become apparent and more readily appreciated from the following description, taken in conjunction with the accompanying drawings in which:
[0108] Figure 1 is a flow chart of the method of the present application. DETAILED DESCRIPTION
[0109] As shown in Figure 1 the present application provides a method for analyzing airline route operation mode selection based on fuel price changes,
[0110] Step 1, determining the total profit of an airline operating a single route, specifically comprising the following steps:
[0111] Step 1-1, determining the total cost of an airline operating a single route. The total cost of an airline operating a single route includes fuel cost and aircraft leasing cost, and the calculation method is:
[0112]
[0113] where g(e,s) represents the aircraft leasing cost per flight hour, expressed as The cost increases with the decrease of e, and when e is constant, g(e,s) per passenger decreases with the increase of s, r represents the unit fuel price, e represents the fuel consumption per seat per flight hour, s represents the number of seats, f represents the flight frequency, k represents the flight time, d represents the flight distance, and β and ε are cost parameters.
[0114] Step 1-2, determining the travel cost of passengers. Considering that there are two types of delays when passengers travel, frequency delay (the difference between the passenger's preferred departure time and the nearest flight time) and random delay (delay caused by not being able to board due to overbooking), the frequency delay cost depends on the airline flight frequency and can be represented as The random delay cost depends on the airline flight load factor and can be represented as λl. Therefore, the travel cost of passengers is calculated as:
[0115]
[0116] where p represents the flight ticket price, f represents the flight frequency, l represents the flight load factor, and γ and λ are demand parameters.
[0117] Step 1-3, determine the total number of passengers transported by each airline on a single route. Assume that the total number of passengers in the airline transportation market for this single route is 1, and the number of passengers served by the two airlines in the market is q1 and q2, respectively, and the ticket prices are p1 and p2, respectively. Although the ticket price will greatly affect the choice of passengers for airlines, brand loyalty will also affect the choice of passengers. For passengers who prefer airline 1, it is negative, and for passengers who prefer airline 2, it is positive. Assume that brand loyalty is uniformly distributed in the interval [-α, α], and the calculation method is:
[0118] The total number of passengers transported by airline 1 q1 is:
[0119]
[0120] The total number of passengers transported by airline 2 q2 is:
[0121]
[0122] Only when the ticket price p, flight frequency f and flight load rate l of the two airlines are the same, their passenger numbers are the same.
[0123] Step 1-4, determine the total profit of airlines operating a single route, and the calculation method is:
[0124] The total profit of airline 1 operating a single route π1 is:
[0125]
[0126] The total profit of airline 2 operating a single route π2 is:
[0127]
[0128] Step 2, based on the condition of profit maximization, analyze the influence of changes in aircraft fuel price on flight ticket price, fuel consumption, flight frequency, load rate and number of seats in a single route, which includes the following steps:
[0129] Step 2-1, in order to help airlines make decisions and choose appropriate flight ticket prices, fuel consumption, flight frequency and flight load rate to achieve maximum profit, it is necessary to determine the first-order partial derivative of the total profit function expression of airlines 1 and 2 operating a single route with respect to each variable, and the calculation method is:
[0130]
[0131]
[0132]
[0133]
[0134] wherein, denotes the first derivative of the total number of passengers q1 transported by airline A with respect to the flight ticket price p1;
[0135] Step 2-2, considering the symmetry of the above formula for airlines 1 and 2, after substitution and rearrangement, the functional expressions of flight ticket price, fuel consumption, flight frequency, flight load factor, and flight seat number can be obtained, and the calculation method is:
[0136]
[0137]
[0138]
[0139]
[0140]
[0141] Step 2-3, determine the maximum value of fuel consumption, flight ticket price, flight frequency, flight load factor, and flight seat number under the condition of profit maximization, and the calculation method is:
[0142]
[0143]
[0144]
[0145]
[0146] wherein,
[0147] When the market share of the two airlines is the same, i.e. then we get:
[0148]
[0149] Step 2-4, take the derivative of the above expression with respect to the unit fuel price to determine the change trend of fuel consumption, flight ticket price, flight frequency, flight load factor, and flight seat number with respect to the unit fuel price, and the calculation method is:
[0150] The change trend of fuel consumption with respect to the unit fuel price is as formula (21):
[0151]
[0152] This indicates that as the unit price of fuel increases, the fuel consumption of aircraft will decrease.
[0153] Because f * It's about e * Since the frequency of flights is a function of the price of fuel per unit, the trend of change in flight frequency relative to the unit price of fuel is the same as the trend of change in fuel consumption. That is, as the unit price of fuel increases, the frequency of flights will decrease.
[0154] The trend of flight load factor relative to unit fuel price is shown in equation (22):
[0155]
[0156] This indicates that as the unit fuel price increases, the passenger load factor of flights will increase.
[0157] Because p * It's about l * Since the function is , the trend of flight ticket prices relative to unit fuel prices is the same as the trend of flight load factor, that is, as unit fuel prices increase, flight ticket prices will increase.
[0158] The trend of the number of flight seats relative to the unit fuel price is shown in equation (23):
[0159]
[0160] This indicates that changes in unit fuel prices have no impact on the number of seats on a flight.
[0161] Step 3, based on the profit maximization condition, analyze the differences between the HS route network and the FC route network in terms of fuel consumption, flight frequency, and number of seats per flight. This includes the following steps:
[0162] Step 3-1: Since the above analysis only addresses the impact of fuel price changes on a single route, but actual air service is provided in a network environment, airlines can choose to operate either an HS (High-Speed) or FC (Fuel-Cost) route network. The following analysis is based on a three-node symmetrical city network layout, assuming all routes are equidistant and each city has the same market demand, and that this market is served by two airlines. Under the FC route network, each group of cities is connected by one route, while under the HS route network, only two routes connect two non-hub cities to a hub city. The total profit of an airline operating either the HS or FC route network is calculated as follows:
[0163] Total profit of airline 1 operating the FC route network for:
[0164]
[0165] Total profit of airline 1 operating HS route network is:
[0166]
[0167] Step 3-2, determine the values of flight ticket price p, fuel consumption e, flight frequency f, flight load factor l and flight seat number s of airline operating FC route network under the condition of profit maximization, the calculation method is: FC FC FC FC FC
[0168]
[0169]
[0170]
[0171]
[0172]
[0173] Step 3-3, determine the values of flight ticket price p, fuel consumption e, flight frequency f, flight load factor l and flight seat number s of airline operating HS route network under the condition of profit maximization, the calculation method is: HS HS HS HS HS
[0174]
[0175]
[0176]
[0177]
[0178]
[0179] Step 3-4, analyze the differences in fuel consumption, flight frequency and flight seat number under the operation of two different route networks, the calculation method is:
[0180] By comparing the following formula (36) and formula (37):
[0181]
[0182]
[0183] The difference of aircraft fuel consumption between operating two different route networks is analyzed, because Therefore, operating HS route network can improve the fuel efficiency of the aircraft;
[0184] By comparing f FC and f HS , the difference of flight frequency between operating two different route networks is analyzed, because Therefore, the flight frequency under HS route network is higher than that under FC route network;
[0185] By comparing s FC and s HS , the difference of flight seat number between operating two different route networks is analyzed, because Therefore, larger aircraft can be selected when operating HS route network.
[0186] Step 4, determine the impact of aircraft fuel price change on the total profit of the airline operating HS route network or FC route network, specifically including the following steps:
[0187] Step 4-1, determine the difference of total profit of the airline operating two different route networks, the calculation method is:
[0188] The difference of total profit of Airline 1 operating two different route networks Δπ1 is:
[0189]
[0190] The difference of total profit of Airline 2 operating two different route networks Δπ2 is:
[0191]
[0192] Step 4-2, determine which route network the airline chooses to operate to obtain higher profit when the fuel price changes, the calculation method is:
[0193] Take the derivative of the total profit difference function expression with respect to the unit fuel price and rearrange it using symmetry to get equation (40):
[0194]
[0195] Let Substitute equation (41) into equation (42) to get equation (42):
[0196]
[0197]
[0198] Substitute equation (43) and equation (44) into equation (42) to get equation (45):
[0199]
[0200]
[0201]
[0202] wherein 0<θ<0.5.
[0203] By comparing the cost coefficient with the demand coefficient It can be determined that when the fuel price changes, the airline chooses to operate which route network to obtain higher profits.
[0204] Since when , θ<0.2025; when , θ>0.2025. That is, when θ<0.2025, the unit fuel price r rises more favorably to the operation of the HS route network, and vice versa. According to , when the cost coefficient is large enough relative to the demand coefficient , the unit fuel price r rises more favorably to the operation of the FC route network, thereby possibly deviating from the current HS route network structure.
[0205] Some explanations involved in the present application are as follows Table 1:
[0206] Table 1
[0207] g(e,s) aircraft rental cost per flight hour r unit fuel price e fuel consumption per seat per flight hour s flight seat number f flight frequency k flight time d flight distance β, ε cost parameters p flight ticket price l flight occupancy rate γ, λ demand parameters q total passenger volume π total profit p′ passenger travel cost θ, K intermediate parameters c total cost of operating a single route
[0208] The embodiment also provides a computer readable storage medium, which stores a computer program, and the computer program is executed by a processor to realize the airline route operation mode selection analysis method based on fuel price change.
[0209] In the specific implementation, the present application provides a computer storage medium and a corresponding data processing unit, wherein the computer storage medium can store a computer program, and the computer program can run the invention content and part or all steps in each embodiment of the airline route operation mode selection analysis method based on fuel price change provided by the present application when executed by the data processing unit. The storage medium can be a magnetic disk, an optical disk, a read-only memory (ROM) or a random access memory (RAM), etc.
[0210] Those skilled in the art can clearly understand that the technical solutions in the embodiments of the present application can be implemented by means of a computer program and a corresponding general hardware platform. Based on such understanding, the technical solutions in the embodiments of the present application can be embodied in the form of a computer program, i.e., a software product, which can be stored in a storage medium, including a plurality of instructions for causing a device (which can be a personal computer, a server, a single-chip microcomputer, a MUU, or a network device) including a data processing unit to execute the method described in each embodiment or some parts of the embodiments of the present application.
[0211] The present application provides an airline route operation mode selection analysis method based on fuel price changes. There are many methods and approaches to achieve this technical solution. The above description is only the preferred embodiment of the present application. It should be noted that for ordinary skilled persons in the technical field, several improvements and refinements can be made without departing from the principles of the present application. These improvements and refinements should also be considered within the scope of protection of the present application. The components not explicitly described in the embodiments can be implemented using existing technology.
Claims
1. An airline route operation mode selection analysis method based on fuel price fluctuation, characterized in that, The method comprises the following steps: Step 1, determining the total profit of an airline operating a single route; Step 2, based on the condition of maximizing total profit, analyzing the influence of the change of aircraft fuel price on flight ticket price, fuel consumption, flight frequency, passenger load factor and flight seat number in a single route; Step 3, based on the condition of maximizing total profit, analyzing the difference in fuel consumption, flight frequency and flight seat number between HS route network and FC route network; Step 4, determining the influence of the change of aircraft fuel price on the total profit of an airline operating HS route network or FC route network; Step 3 comprises the following steps: Step 3-1, determine the total profit of the airline operating the HS route network or the FC route network: Total profit of the airline A operating the FC route network is: Total profit of airline B operating the HS route network is: wherein denotes the first derivative of the total number of passengers q1 transported by airline A with respect to the flight ticket price p1; k denotes the flight time, d denotes the flight distance, β and ε are cost parameters; r denotes the unit fuel price, π1 is the total profit of airline A operating a single route, p i denotes the flight ticket price of the i-th airline, q i denotes the proportion of passengers served by the i-th airline, i takes the values 1, 2; q1+q2=1, f i denotes the flight frequency of the i-th airline; e i denotes the fuel consumption per seat per flight hour of the i-th airline; γ and λ are demand parameters; l i denotes the load factor of the i-th airline; Step 3-2, determine the flight ticket price p of the airline operating the FC route network under the condition of profit maximization FC , fuel consumption e FC , flight frequency f FC , flight load factor l FC and flight seat number s FC , the calculation method is: Step 3-3, determine the flight ticket price P of the airline operating the HS route network under the condition of profit maximization HS , fuel consumption e HS , flight frequency f HS , flight load factor l HS and the number of seats s HS , the calculation method is: Step 3-4, analyzing the difference in fuel consumption, flight frequency and flight seat number between operating two different route networks: By comparing the following formula (36) and formula (37): wherein the intermediate parameter Analyzing the difference in fuel consumption between operating two different route networks; By comparing f FC and f HS , the differences in flight frequency under the operation of two different route networks are analyzed; By comparing s FC and s HS , the difference in the number of seats on flights under the operation of two different route networks is analyzed.
2. The method of claim 1, wherein, Step 1 comprises the following steps: Step 1-1, calculating the total cost of an airline operating a single route; Step 1-2, calculating the travel cost of passengers; Step 1-3, calculating the total number of passengers transported by an airline on a single route; Step 1-4, calculating the total profit of an airline operating a single route.
3. The method of claim 2, wherein, In step 1-1, the total cost of an airline operating a single route c is calculated by the following formula: where g(e,s) represents the aircraft lease cost per flight hour, expressed as e represents the fuel consumption per seat per flight hour, s represents the number of seats of the flight, and f represents the flight frequency.
4. The method of claim 3, wherein, In steps 1-2, the passenger's travel cost p' is calculated to include the flight fare and the delay cost, where the frequency delay cost depends on the airline's flight frequency, and the frequency delay cost is represented as The random delay cost depends on the airline's flight load factor, and the delay cost is represented as λl, which is calculated using the following equation: Where p represents the flight ticket price, and l represents the flight passenger load factor.
5. The method of claim 4, wherein, In step 1-3, assuming that the total number of passengers in the single route air transportation market is 1, and the first airline is A and the second airline is B, the total number of passengers transported by an airline on a single route is calculated by the following formula: The total number of passengers transported by airline A q1 is: The number of passengers served by airline A is q1, the flight ticket price is p1, and the brand loyalty is assumed to be uniformly distributed in the interval [-α, α]; The total number of passengers transported by airline B q2 is: The number of passengers served by airline B is q2, the flight ticket price is p2, and the brand loyalty is assumed to be uniformly distributed in the interval [-α, α]; The number of passengers is the same only when the flight ticket price p, flight frequency f and flight passenger load factor l of the two airlines A and B are the same.
6. The method of claim 5, wherein, In step 1-4, the total profit of airline A operating a single route π1 is: The total profit of airline B operating a single route π2 is: r i denotes the unit fuel price of the i-th airline, s i denotes the number of seats of the i-th airline, g(e i ,s i ) denotes the aircraft rental cost per flight hour of the i-th airline.
7. The method of claim 6, wherein, Step 2 comprises the following steps: Step 2-1, determining the first-order partial derivative of the profit function expression with respect to flight ticket price, fuel consumption, flight frequency and flight passenger load factor, and the calculation method is: Step 2-2, determining the function expression of flight ticket price, fuel consumption, flight frequency, flight passenger load factor and flight seat number, and the calculation method is: Step 2-3, determine the minimum value e of fuel consumption under the condition of profit maximization * , the minimum value p of flight ticket price * , the maximum value f of flight frequency * , the maximum value l of flight load factor * , the maximum value s of flight seat number * , the calculation method is: When the two airlines in the market have the same share, i.e. then we get: Step 2-4, taking the derivative of the unit fuel price to determine the change trend of fuel consumption, flight ticket price, flight frequency, flight passenger load factor and flight seat number with respect to the unit fuel price, The calculation method is: The change trend of fuel consumption with respect to the unit fuel price is as formula (21): where d denotes the derivative symbol, f * is a function of e * , the trend of the flight frequency with respect to the unit fuel price is the same as the trend of the fuel consumption. The change trend of flight passenger load factor with respect to the unit fuel price is as formula (22): p * is a function of l * , so the trend of the change of the flight ticket price relative to the unit fuel price is the same as the trend of the change of the flight load factor; The change trend of flight seat number with respect to the unit fuel price is as formula (23):
8. The method of claim 7, wherein, Step 4 comprises the following steps: Step 4-1, determine the total profit difference of the airline operating two different route networks, the calculation method is: The total profit difference Δπ1 of airline A operating two different route networks is: The total profit difference Δπ2 of airline B operating two different route networks is: Step 4-2, determine which route network the airline chooses to operate to obtain higher profit when the fuel price changes: The derivative of the total profit difference function expression with respect to the unit fuel price is obtained as formula (40) after rearrangement using symmetry: Let Substituting equation (41) into equation (42) gives equation (43): Substitute formula (43) and formula (44) into formula (42) to obtain formula (45): wherein the intermediate parameters By comparing the cost coefficient with the demand coefficient That is, it can be determined that when the fuel price changes, which airline network the airline chooses to operate can obtain higher profits.
9. A computer-readable storage medium, characterized in that, Including: The computer readable storage medium stores a computer program, characterized in that the computer program is executed by the processor to realize the airline route operation mode selection analysis method based on the fuel price change as claimed in any one of claims 1-8.