CN116484614B - Pilot fatigue coefficient calculation method and system - Google Patents

Pilot fatigue coefficient calculation method and system Download PDF

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CN116484614B
CN116484614B CN202310445909.7A CN202310445909A CN116484614B CN 116484614 B CN116484614 B CN 116484614B CN 202310445909 A CN202310445909 A CN 202310445909A CN 116484614 B CN116484614 B CN 116484614B
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李敬强
刘安南
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Civil Aviation University of China
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Abstract

The application discloses a pilot fatigue coefficient calculation method and a pilot fatigue coefficient calculation system, wherein the method comprises the following steps: collecting a real month duty schedule of a pilot with a fatigue coefficient to be calculated, and recording the real month duty schedule as a first duty schedule; simulating a month duty schedule of the pilot when the accumulated fatigue reaches a critical state, and recording the month duty schedule as a second duty schedule; simulating a fatigue value change curve I of the pilot during the duty cycle based on the first duty table, and recording the fatigue value change curve I as a first curve; simulating a fatigue value change curve II of the pilot during the duty cycle based on the second duty table, and recording the fatigue value change curve II as a second curve; calculating a first fatigue integral value of the monthly flight fatigue of the pilot based on the first curve, and recording the first fatigue integral value; calculating a second fatigue integral value of the pilot's monthly flight fatigue based on the second curve, and recording the second fatigue integral value; and obtaining a month fatigue coefficient of the pilot based on the first fatigue integral value and the second fatigue integral value.

Description

Pilot fatigue coefficient calculation method and system
Technical Field
The application belongs to the technical field of data processing, and particularly relates to a pilot fatigue coefficient calculation method and system.
Background
The fatigue coefficient of the pilot is an index for objectively measuring the fatigue degree of flight crews in a flight task, and is an important basis for evaluating the fatigue condition of the pilot in each month of an airline company by civil aviation bureau. However, the current fatigue coefficients suffer from the following disadvantages:
the method comprises the following steps: the current fatigue coefficient is fatigue from the single dimension of time of flight, however pilot fatigue is a complex dynamic phenomenon, depending on many factors, so the fatigue coefficient of pilots should also be affected by many factors, such as working time, rest time, circadian rhythm, workload, etc.;
and two,: the current fatigue coefficient reflects the fatigue condition of an airline company or a certain fleet as a whole, and is not suitable for evaluating the fatigue condition of an individual pilot.
Content of the application
In order to solve the technical problems in the background, the fatigue coefficient of the pilot is calculated based on the fatigue biological mathematical model and combined with the month duty schedule of the pilot.
In order to achieve the above object, the present application provides a method for calculating fatigue coefficients of pilots, comprising the steps of:
collecting a real month duty schedule of a pilot with a fatigue coefficient to be calculated, and recording the real month duty schedule as a first duty schedule; simulating a month duty schedule of the pilot when the accumulated fatigue reaches a critical state, and recording the month duty schedule as a second duty schedule;
simulating a fatigue value change curve I of the pilot during the duty cycle based on the first duty table, and recording the fatigue value change curve I as a first curve; simulating a fatigue value change curve II of the pilot during the duty cycle based on the second duty table, and recording the fatigue value change curve II as a second curve;
calculating a first fatigue integral value of the monthly flight fatigue of the pilot based on the first curve, and recording the first fatigue integral value; calculating a second fatigue integral value of the pilot's monthly flight fatigue based on the second curve, and recording the second fatigue integral value;
and determining a pilot month cumulative fatigue state based on the first fatigue integral value and the second fatigue integral value.
Preferably, the method for obtaining the first curve includes: adopting a fatigue biological mathematical model, and simulating a fatigue value change curve of a pilot during the duty according to the duty time, the rest time, the circadian rhythm and the task characteristics in the first duty table to obtain the first curve; and acquiring the second curve by adopting the same method as the first curve.
Preferably, the concepts employed in the fatigue biological mathematical model include: alert resources are stored in the human body; the alert resource reserve of the human body has the maximum value expressed as alert resource capacity; alert resources are consumed in the duty period and recovered in the rest period; the rate of consumption or recovery of alert resources is a function of alert resource reserves, alert resource capacity, human homeostasis processes, and human circadian rhythm processes; the alertness of the human body duty period is directly and positively related to the consumption speed of alert resources; fatigue and alertness in the human duty cycle are inversely related.
Preferably, the method of calculating the first fatigue integrated value includes: characterizing a fatigue cumulative value of a single flight task through the area between a fatigue value change curve F (t) and an x-axis in a time interval from flight start to flight end; and then accumulating the fatigue accumulated values of all the single flight missions:
wherein FC represents an fatigue integrated value; ti1 and ti2 respectively represent the time points of the start and end of the ith flight mission; n represents the number of flight missions; and acquiring the second fatigue integrated value by the same method as the first fatigue integrated value.
The application also provides a pilot fatigue coefficient calculation system, comprising: the device comprises a collecting unit, a simulation unit, a calculation unit and a calibration unit;
the collecting unit is used for collecting a real month duty schedule of the pilot with the fatigue coefficient to be calculated and recording the real month duty schedule as a first duty schedule; simulating a month duty schedule of the pilot when the accumulated fatigue reaches a critical state, and recording the month duty schedule as a second duty schedule;
the simulation unit is used for simulating a fatigue value change curve I of a pilot during duty according to the first duty table, and recording the fatigue value change curve I as a first curve; simulating a fatigue value change curve II of the pilot during the duty cycle based on the second duty table, and recording the fatigue value change curve II as a second curve;
the calculating unit is used for calculating a first fatigue integral value of the pilot's monthly flight fatigue based on the first curve and recording the first fatigue integral value; calculating a second fatigue integral value of the pilot's monthly flight fatigue based on the second curve, and recording the second fatigue integral value;
the scaling unit is configured to determine a pilot month cumulative fatigue state based on the first fatigue integral value and the second fatigue integral value.
Preferably, the workflow of the simulation unit includes: adopting a fatigue biological mathematical model, and simulating a fatigue value change curve of a pilot during the duty according to the duty time, the rest time, the circadian rhythm and the task characteristics in the first duty table to obtain the first curve; and acquiring the second curve by adopting the same flow as the first curve.
Preferably, the concepts employed in the fatigue biological mathematical model include: alert resources are stored in the human body; the alert resource reserve of the human body has the maximum value expressed as alert resource capacity; alert resources are consumed in the duty period and recovered in the rest period; the rate of consumption or recovery of alert resources is a function of alert resource reserves, alert resource capacity, human homeostasis processes, and human circadian rhythm processes; the alertness of the human body duty period is directly and positively related to the consumption speed of alert resources; fatigue and alertness in the human duty cycle are inversely related.
Preferably, the workflow of the computing module includes: characterizing a fatigue cumulative value of a single flight task through the area between a fatigue value change curve F (t) and an x-axis in a time interval from flight start to flight end; and then accumulating the fatigue accumulated values of all the single flight missions:
wherein FC represents an fatigue integrated value; ti1 and ti2 respectively represent the time points of the start and end of the ith flight mission; n represents the number of flight missions; and acquiring the second fatigue integrated value using the same procedure as the first fatigue integrated value.
Compared with the prior art, the beneficial effects of the application are as follows:
the concept of circadian rhythm process, steady state process and alert resource reserve of the fatigue biological mathematical model is innovatively introduced, and fatigue influence factors including task types, airport environments and rest environments are included; the method can solve the defect that the prior art only evaluates the moon fatigue of the pilot from a single time-of-flight factor, and can evaluate the moon fatigue condition of the individual pilot. The method can also be combined with a flight control scheduling system, and the calculated result can be used as a reference basis for pilot scheduling decisions.
Drawings
For a clearer description of the technical solutions of the present application, the drawings that are required to be used in the embodiments are briefly described below, it being evident that the drawings in the following description are only some embodiments of the present application, and that other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic flow chart of a method according to an embodiment of the present application;
FIG. 2 is a schematic diagram of a system structure according to an embodiment of the present application;
FIG. 3 is a plot of the change in alert resource reserve for a pilot's duty and rest periods simulated by a fatigue biology mathematical model according to an embodiment of the present application;
FIG. 4 is a plot of the change in circadian performance of a pilot during a duty cycle versus a rest cycle simulated from a circadian function incorporated by a fatigue biomathematical model in accordance with an embodiment of the present application;
FIG. 5 is a graph of fatigue values for a pilot duty cycle simulated by a fatigue biological mathematical model in accordance with an embodiment of the present application;
FIG. 6 is a schematic representation of the physical significance of pilot flight fatigue cumulative values calculated from fatigue value change curves during duty according to an embodiment of the present application.
Detailed Description
The following description of the embodiments of the present application will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are only some, but not all, of the embodiments of the present application. All other embodiments, which can be made by one of ordinary skill in the art without undue burden from the present disclosure, are within the scope of the present disclosure.
In order that the above-recited objects, features and advantages of the present application will become more readily apparent, a more particular description of the invention briefly described above will be rendered by reference to specific embodiments that are illustrated in the appended drawings.
Example 1
Fig. 1 is a schematic flow chart of a method according to the present embodiment.
Firstly, acquiring a real month duty schedule of a pilot with a fatigue coefficient to be calculated, wherein the real month duty schedule comprises information such as duty starting time, duty ending time, flight starting time, flight ending time and the like, and recording the information as a first duty schedule; simulating a month duty schedule of the pilot when the accumulated fatigue reaches a critical state, and recording the month duty schedule as a second duty schedule; a first watch of the pilot is collected in this example, as shown in table 1.
TABLE 1
The second watch in this embodiment is shown in Table 2.
TABLE 2
And then, simulating a fatigue value change curve I of the pilot during duty on the basis of the fatigue biological mathematical model. And simulating a fatigue degree value change curve II of the duty period when the accumulated fatigue of the pilot reaches a critical state based on the fatigue biological mathematical model. The method comprises the following specific steps:
the first duty table of the pilot is imported into a fatigue biological mathematical model, and a fatigue value change curve I of the pilot during duty is simulated and recorded as a first curve. And a second duty table is imported into the fatigue biological mathematical model to simulate a fatigue degree value change curve II of the pilot during duty, and the fatigue degree value change curve II is recorded as a second curve.
Then, calculating a first fatigue integral value of the pilot's monthly flight fatigue based on the first curve, and recording the first fatigue integral value; and calculating a second fatigue integral value of the pilot month flight fatigue based on the second curve, and recording the second fatigue integral value as a second fatigue integral value. The method comprises the following specific steps:
characterizing a fatigue cumulative value of a single flight task through the area between a fatigue value change curve F (t) and an x-axis in a time interval from flight start to flight end; then, the fatigue accumulated values of all single flight missions are accumulated:
wherein FC represents an fatigue integrated value; ti1 and ti2 respectively represent the time points of the start and end of the ith flight mission; n represents the number of flight missions; and the second fatigue integrated value is acquired by the same method as the first fatigue integrated value.
In the embodiment, the fatigue accumulated values of all 21 flight tasks in the collected first duty table of the pilot are accumulated to calculate the first fatigue accumulated value FC of the pilot 1 =3055. Additionally, the fatigue accumulated values of all 40 flight tasks in the assumed pilot second duty table are accumulated, and a pilot second fatigue value FC when the accumulated fatigue reaches a critical state is calculated 2 =4293。
Based on the first fatigue integral value FC 1 And a second fatigue integrated value FC 2 And judging the fatigue state of the pilot.
In this embodiment, using the pilot's month fatigue coefficient FX to characterize the pilot's month cumulative fatigue state, the following formula can be employed:
the pilot fatigue coefficient fx=0.71 obtained in this example is determined to be fatiguer.
Example two
As shown in fig. 2, a system structure schematic diagram of an embodiment of the present application includes: the device comprises a collecting unit, a simulation unit, a calculation unit and a scaling unit. The collecting unit is used for collecting a real month duty schedule of the pilot with the fatigue coefficient to be calculated and recording the real month duty schedule as a first duty schedule; simulating a month duty schedule of the pilot when the accumulated fatigue reaches a critical state, and recording the month duty schedule as a second duty schedule; the simulation unit is used for simulating a fatigue value change curve I of the pilot during the duty period based on the first duty table, and recording the fatigue value change curve I as a first curve; simulating a fatigue value change curve II of the pilot during the duty cycle based on a second duty table, and recording the fatigue value change curve II as a second curve; the calculating unit is used for calculating a first fatigue integral value of the monthly flight fatigue of the pilot based on the first curve and recording the first fatigue integral value; calculating a second fatigue integral value of the pilot's monthly flight fatigue based on the second curve, and recording the second fatigue integral value as a second fatigue integral value; the scaling unit is configured to obtain a pilot's monthly fatigue coefficient based on the first fatigue integral value and the second fatigue integral value.
In the following, in connection with the present embodiment, how the present application solves the technical problems in real life will be described in detail.
Firstly, a collection module is utilized to collect the real monthly duty schedule of a pilot with a fatigue coefficient to be calculated, wherein the real monthly duty schedule comprises information such as duty starting time, duty ending time, flight starting time, flight ending time and the like, and the information is recorded as a first duty schedule; and simulate the month duty schedule for the pilot to accumulate fatigue to reach a critical state, and record as a second duty schedule.
Then, the simulation module simulates a fatigue value change curve I of the pilot during duty on the basis of the fatigue biological mathematical model. And simulating a fatigue degree value change curve II of the duty period when the accumulated fatigue of the pilot reaches a critical state based on the fatigue biological mathematical model. The specific flow comprises the following steps:
the first duty table of the pilot is imported into a fatigue biological mathematical model, and a fatigue value change curve I of the pilot during duty is simulated and recorded as a first curve. And a second duty table is imported into the fatigue biological mathematical model to simulate a fatigue degree value change curve II of the pilot during duty, and the fatigue degree value change curve II is recorded as a second curve.
Then, the calculation module calculates a first fatigue integral value of the monthly flight fatigue of the pilot based on the first curve, and records the first fatigue integral value; and calculating a second fatigue integral value of the pilot month flight fatigue based on the second curve, and recording the second fatigue integral value as a second fatigue integral value. The specific flow comprises the following steps:
characterizing a fatigue cumulative value of a single flight task through the area between a fatigue value change curve F (t) and an x-axis in a time interval from flight start to flight end; then, the fatigue accumulated values of all single flight missions are accumulated:
wherein FC represents an fatigue integrated value; ti1 and ti2 respectively represent the time points of the start and end of the ith flight mission; n represents the number of flight missions; and the second fatigue integrated value is acquired by the same method as the first fatigue integrated value.
Based on the first fatigue integral value FC 1 And a second fatigue integrated value FC 2 And judging the fatigue state of the pilot.
In this embodiment, the fatigue state of the pilot is characterized using the pilot month fatigue coefficient FX, and the following formula can be adopted:
the pilot fatigue coefficient fx=0.71 obtained in this example is determined to be fatiguer.
Example III
This example will describe in detail the biological mathematical model of fatigue referred to in this application. Simulation was performed with the duty schedule for a pilot over a period of time as shown in table 3:
TABLE 3 Table 3
The section of duty schedule is imported into the fatigue biological mathematical model provided by the invention, and the fatigue biological mathematical model can simulate the fatigue value change curve of a pilot during duty according to factors such as duty time, rest time, circadian rhythm, task characteristics (in the implementation, the task characteristics comprise task types, airport environments and the like), and the specific fatigue biological mathematical model concept comprises:
alert resources are stored in the human body; the alert resource reserve of the human body has a maximum value, defined as alert resource capacity; alert resources are consumed in the duty period and recovered in the rest period; the rate of consumption or recovery of alert resources is a function of alert resource reserves, alert resource capacity, human homeostasis processes, and human circadian rhythm processes; the alertness of the human body duty period is directly and positively related to the consumption speed of alert resources; the fatigue degree and alertness degree of the human body in the duty period are inversely related;
the human alertness resource reserve expression is as follows:
R 1 =R 0 -S(t0)*△t
wherein R is 1 Initial alert resource reserve R for time t0 0 Alert resource reserves after a period of Δt hours; s (t 0) is the human vigilance resource consumption speed at time t 0.
An expression function S (t) of the change of the alert resource consumption speed of the human body along with the attendance time t in the attendance period is as follows:
wherein t1 is the on-duty time, and t2 is the rest time; the consumption speed of alert resources in the duty period is positive, and the model considers the duty period to be the process of alert resource consumption; k (k) sd The consumption speed coefficient of the duty period is determined by the task type, airport environment and the like; r is R 0 An initial alert resource reserve for an initial time t0 of the Δt time period; τ is the time constant in a steady state function that characterizes the steady state process in the human body; c (T) is an endogenous circadian function of a human body, and T is a time point (0.00-23.99) at the moment; the consumption speed of alert resources in the rest period is negative, and the model considers the rest period to be the process of alert resource recovery; k (k) sr The consumption speed coefficient is the consumption speed coefficient in the rest period and is determined by the rest environment; r is R m Maximum reserve for alert resources (alert resource capacity), determined by individual constitution;
in this embodiment, the initial alert resource reserve at the beginning of the pilot's first duty (day 18: 30) is defined as 82.36, the alert resource maximum reserve (capacity) R m =100; the alert resource consumption speed and the interval hours of each calculation of the human alert resource reserve are set to be delta t=1/60; consumption speed coefficient k for defining duty period according to task type, airport environment and the like sd =0.05, the consumption rate coefficient k of rest period is defined according to rest environment, etc sr =0.05; defining a time constant τ= 125.16 in a steady-state function of a human body homeostasis process;
the expression C (T) of the human endogenous circadian function incorporated by the fatigue biological mathematical model provided in this embodiment is as follows:
wherein T is the time point (0.00-23.99) at the moment; c1 and C2 are the amplitudes of the 24-hour period and the 12-hour period functions;and->The peak value expression time of the 24-hour rhythm and the 12-hour rhythm which are the phases of the periodic function are respectively endogenous to the human body and are determined by the constitution of the individual; m is the median adjustment coefficient of the circadian function.
In this embodiment, the phase of the 24-hour rhythmic periodic function is definedPhase of 12 hours rhythm periodic function +.>The median adjustment coefficient m=1.5 of the circadian function;
the simulated change curve of the alert resource reserve of the pilot is shown in fig. 3, and the circadian rhythm performance of the pilot is shown in fig. 4;
the functional expression A (t) of the change of the alertness value of the human duty time t along with the duty time t is as follows:
A(t)=k a ·S(t)
wherein k is ɑ For adjusting the coefficient, correcting the model output range; s (t) is an expression function of the change of the alert resource consumption speed of the human body along with the attendance time t in the attendance period.
The functional expression F (t) of the fatigue value of the human duty period along with the duty time t is as follows:
F(t)=100-A(t)
the fatigue value change curve of the pilot duty period obtained by simulation in the embodiment is shown in fig. 5.
Thereafter, the pilot's fatigue integrated value FC is calculated in accordance with the method of calculating the fatigue integrated value described above 3
In the embodiment, the number of flight tasks n is 5; the fatigue cumulative values for these 5 flights are characterized by the area between the fatigue value curve F (t) and the x-axis over the 5 flight time intervals, respectively, as shaded in fig. 6. The set of flight start time points ti1= {10.35, 14.02, 11.67, 20,9.52}, the set of flight end time points ti2= {14.98, 19.23, 16.5,0.98, 14.98}. Substituting formula to obtain fatigue integral value FC of pilot in the period 3 =1632。
The foregoing embodiments are merely illustrative of the preferred embodiments of the present application and are not intended to limit the scope of the present application, and various modifications and improvements made by those skilled in the art to the technical solutions of the present application should fall within the protection scope defined by the claims of the present application.

Claims (2)

1. A pilot fatigue coefficient calculation method, comprising the steps of:
collecting a real month duty schedule of a pilot with a fatigue coefficient to be calculated, and recording the real month duty schedule as a first duty schedule; simulating a month duty schedule of the pilot when the accumulated fatigue reaches a critical state, and recording the month duty schedule as a second duty schedule;
simulating a fatigue value change curve I of the pilot during the duty cycle based on the first duty table, and recording the fatigue value change curve I as a first curve; simulating a fatigue value change curve II of the pilot during the duty cycle based on the second duty table, and recording the fatigue value change curve II as a second curve; the method for obtaining the first curve comprises the following steps: adopting a fatigue biological mathematical model, and simulating a fatigue value change curve of a pilot during the duty according to the duty time, the rest time, the circadian rhythm and the task characteristics in the first duty table to obtain the first curve; the second curve is obtained by adopting the same method as the first curve;
concepts employed in the fatigue biological mathematical model include: alert resources are stored in the human body; the alert resource reserve of the human body has the maximum value expressed as alert resource capacity; alert resources are consumed in the duty period and recovered in the rest period; the rate of consumption or recovery of alert resources is a function of alert resource reserves, alert resource capacity, human homeostasis processes, and human circadian rhythm processes; the alertness of the human body duty period is directly and positively related to the consumption speed of alert resources; the fatigue degree and alertness degree of the human body in the duty period are inversely related;
calculating a first fatigue integral value of the monthly flight fatigue of the pilot based on the first curve, and recording the first fatigue integral value; calculating a second fatigue integral value of the pilot's monthly flight fatigue based on the second curve, and recording the second fatigue integral value; the method of calculating the first fatigue integrated value includes: characterizing a fatigue cumulative value of a single flight task through the area between a fatigue value change curve F (t) and an x-axis in a time interval from flight start to flight end; and then accumulating the fatigue accumulated values of all the single flight missions:
wherein FC represents an fatigue integrated value; ti1 and ti2 respectively represent the time points of the start and end of the ith flight mission; n represents the number of flight missions; and acquiring the second fatigue integrated value by the same method as the first fatigue integrated value;
determining a pilot month cumulative fatigue state based on the first fatigue integral value and the second fatigue integral value; wherein,
the human alertness resource reserve expression is as follows:
R 1 =R 0 -S(t0)*△t
wherein R is 1 Initial alert resource reserve R for time t0 0 Alert resource reserves after a period of Δt hours; s (t 0) is the human vigilance resource consumption speed at the time t 0;
an expression function S (t) of the change of the alert resource consumption speed of the human body along with the attendance time t in the attendance period is as follows:
wherein t1 is the on-duty time, and t2 is the rest time; the consumption speed of alert resources in the duty period is positive, and the model considers the duty period to be the process of alert resource consumption; k (k) sd The consumption speed coefficient of the duty period is determined by the task type and the airport environment; r is R 0 An initial alert resource reserve for an initial time t0 of the Δt time period; τ is the time constant in a steady state function that characterizes the steady state process in the human body; c (T) is an endogenous circadian function of a human body, and T is a time point at the time; the consumption speed of alert resources in the rest period is negative, and the model considers the rest period to be the process of alert resource recovery; k (k) sr The consumption speed coefficient is the consumption speed coefficient in the rest period and is determined by the rest environment; r is R m Maximum reserve for alert resources;
the expression C (T) of the human body endogenous circadian rhythm function which is included in the fatigue biological mathematical model is as follows:
wherein T is the time point at that time; c1 and C2 are the amplitudes of the 24-hour period and the 12-hour period functions;and->The phase of the periodic function is the peak value expression time of the endogenous 24-hour rhythm and the 12-hour rhythm of the human body respectively; m is a median adjustment coefficient of the circadian function;
the functional expression A (t) of the change of the alertness value of the human duty time t along with the duty time t is as follows:
A(t)=k a ·S(t)
wherein k is ɑ For adjusting the coefficient, correcting the model output range; s (t) is an expression function of the change of the alert resource consumption speed of the human body along with the duty time t in the duty period;
the functional expression F (t) of the fatigue value of the human duty period along with the duty time t is as follows:
F(t)=100-A(t)
the fatigue value change curve of the pilot duty period is obtained through simulation;
thereafter, the fatigue integrated value FC of the pilot is calculated in accordance with the method of calculating the fatigue integrated value 3
2. A pilot fatigue coefficient calculation system, comprising: the device comprises a collecting unit, a simulation unit, a calculation unit and a calibration unit;
the collecting unit is used for collecting a real month duty schedule of the pilot with the fatigue coefficient to be calculated and recording the real month duty schedule as a first duty schedule; simulating a month duty schedule of the pilot when the accumulated fatigue reaches a critical state, and recording the month duty schedule as a second duty schedule;
the simulation unit is used for simulating a fatigue value change curve I of a pilot during duty according to the first duty table, and recording the fatigue value change curve I as a first curve; simulating a fatigue value change curve II of the pilot during the duty cycle based on the second duty table, and recording the fatigue value change curve II as a second curve; the workflow of the simulation unit comprises: adopting a fatigue biological mathematical model, and simulating a fatigue value change curve of a pilot during the duty according to the duty time, the rest time, the circadian rhythm and the task characteristics in the first duty table to obtain the first curve; the second curve is obtained by adopting the same process as the first curve;
concepts employed in the fatigue biological mathematical model include: alert resources are stored in the human body; the alert resource reserve of the human body has the maximum value expressed as alert resource capacity; alert resources are consumed in the duty period and recovered in the rest period; the rate of consumption or recovery of alert resources is a function of alert resource reserves, alert resource capacity, human homeostasis processes, and human circadian rhythm processes; the alertness of the human body duty period is directly and positively related to the consumption speed of alert resources; the fatigue degree and alertness degree of the human body in the duty period are inversely related;
the calculating unit is used for calculating a first fatigue integral value of the pilot's monthly flight fatigue based on the first curve and recording the first fatigue integral value; calculating a second fatigue integral value of the pilot's monthly flight fatigue based on the second curve, and recording the second fatigue integral value; the workflow of the computing unit includes: characterizing a fatigue cumulative value of a single flight task through the area between a fatigue value change curve F (t) and an x-axis in a time interval from flight start to flight end; and then accumulating the fatigue accumulated values of all the single flight missions:
wherein FC represents an fatigue integrated value; ti1 and ti2 respectively represent the time points of the start and end of the ith flight mission; n represents the number of flight missions; and acquiring the second fatigue integrated value using the same procedure as the first fatigue integrated value;
the scaling unit is used for judging the month accumulated fatigue state of the pilot based on the first fatigue integral value and the second fatigue integral value; wherein,
the human alertness resource reserve expression is as follows:
R 1 =R 0 -S(t0)*△t
wherein R is 1 Initial alert resource reserve R for time t0 0 Alert resource reserves after a period of Δt hours; s (t 0) is the human vigilance resource consumption speed at the time t 0;
an expression function S (t) of the change of the alert resource consumption speed of the human body along with the attendance time t in the attendance period is as follows:
wherein t1 is the on-duty time, and t2 is the rest time; the consumption speed of alert resources in the duty period is positive, and the model considers the duty period to be the process of alert resource consumption; k (k) sd The consumption speed coefficient of the duty period is determined by the task type and the airport environment; r is R 0 An initial alert resource reserve for an initial time t0 of the Δt time period; τ is the time constant in a steady state function that characterizes the steady state process in the human body; c (T) is an endogenous circadian function of a human body, and T is a time point at the time; the consumption speed of alert resources in the rest period is negative, and the model considers the rest period to be the process of alert resource recovery; k (k) sr The consumption speed coefficient is the consumption speed coefficient in the rest period and is determined by the rest environment; r is R m Maximum reserve for alert resources;
the expression C (T) of the human body endogenous circadian rhythm function which is included in the fatigue biological mathematical model is as follows:
wherein T is the time point at that time; c1 and C2 are the amplitudes of the 24-hour period and the 12-hour period functions;and->For the circumference ofThe phase of the phase function is the peak value expression time of the endogenous 24-hour rhythm and the 12-hour rhythm of the human body respectively; m is a median adjustment coefficient of the circadian function;
the functional expression A (t) of the change of the alertness value of the human duty time t along with the duty time t is as follows:
A(t)=k a ·S(t)
wherein k is ɑ For adjusting the coefficient, correcting the model output range; s (t) is an expression function of the change of the alert resource consumption speed of the human body along with the duty time t in the duty period;
the functional expression F (t) of the fatigue value of the human duty period along with the duty time t is as follows:
F(t)=100-A(t)
the fatigue value change curve of the pilot duty period is obtained through simulation;
thereafter, the fatigue integrated value FC of the pilot is calculated in accordance with the method of calculating the fatigue integrated value 3
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CN107392153A (en) * 2017-07-24 2017-11-24 中国科学院苏州生物医学工程技术研究所 Human-body fatigue degree decision method
CN115936369A (en) * 2022-12-08 2023-04-07 中国民航大学 Flight string fatigue level assessment method and system based on task information

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