CN109902924B - Military airport single runway training capacity evaluation method - Google Patents

Military airport single runway training capacity evaluation method Download PDF

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CN109902924B
CN109902924B CN201910058323.9A CN201910058323A CN109902924B CN 109902924 B CN109902924 B CN 109902924B CN 201910058323 A CN201910058323 A CN 201910058323A CN 109902924 B CN109902924 B CN 109902924B
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CN109902924A (en
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种小雷
刘一通
梁磊
王观虎
王昊辰
王伟
杨栋
郭利刚
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Air Force Engineering University of PLA
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Abstract

The invention discloses a military airport single runway training capacity evaluation method, which provides a military airport single runway training capacity evaluation method based on evaluation parameters such as the occupation time of flight organization under four types of meteorological conditions, the field maintenance time, the airport meteorological allowable available flight time and the like in historical training data on the basis of fully considering the use characteristics of a military airport, provides a statistical method of the evaluation parameters, establishes a training capacity evaluation model, and provides a decision basis for determining the training capacity of a single runway and judging the opening time of a double-runway airport.

Description

Military airport single runway training capacity evaluation method
Technical Field
The invention relates to the technical field of airport planning for military airports and civil and military shared airports, in particular to a method for evaluating the training capacity of a single runway of a military airport.
Background
1. Concept of training capacity for single runway of military airport
The concept of airport runway capacity in the civil aviation field is proposed along with the development of traffic, and is defined as the maximum taking-off and landing number of runways capable of running in unit time. Generally expressed as a weighted average of all model runway service times:
Figure BDA0001953302760000011
Figure BDA0001953302760000012
in the formula: c is runway capacity;
e [ T ] is the average service time of the runway;
P ij the probability that the j-type airplane trails the i-type airplane is obtained;
T ij the time interval between the type j aircraft and the type i aircraft when they trail the type i aircraft.
From the concept of civil airport runway capacity, it can be seen that the capacity is provided based on the continuous operation state of the airplane, for example, the runway capacity is 30 frames/hour, which means the continuous taking off and landing times of the airplane within 1 hour.
In recent years, with the development of military training demands, the problem of runway capacity in the field of military airport planning has also been studied. However, the concept of civil airport runway capacity has significant unsuitability for military airports. Firstly, the model and the number of the airplane staying in the field of the military airport are relatively fixed, unlike the model and the number of the airplane on civil aviation flights which are not fixed; secondly, after taking off and joining a flight path, the civil aircraft flies to a destination, while military aircraft trains in the peripheral airspace of the field, and during the aircraft stagnation period, although no aircraft exists on the runway, the runway is still in a closed state; third, for runways, civil airports are in continuous service, while military airports are in intermittent service.
Based on the above differences, in combination with the characteristics of military airports, the runway training capacity should be studied with emphasis, and may be defined as: the training task amount completed by the aviation soldier can be guaranteed within one year on the runway, and the training task amount can be simplified into the annual taking-off and landing number of the airplane.
2. Train capacity assessment idea for military single runway
The dominant idea of the evaluation of the training capacity of the single runway of the military airport is to count the maximum utilization time that the runway can provide and the time required by flight training, and compare the maximum annual taking-off and landing number that the runway can provide in one year.
3. Determination principle of annual available time of runway
The runway available time is mainly influenced by two aspects of meteorological factors and runway integrity, and the statistical quantities are as follows:
1. runway annual meteorological condition permission flight time
According to the division method of aerometeorology, the meteorological conditions are four conditions, namely a daytime simple meteorological condition, a daytime complex meteorological condition, a nighttime simple meteorological condition and a nighttime complex meteorological condition, and under the four meteorological conditions, the corresponding time which can be flown when meeting the requirement is the runway annual meteorological condition permitted flight time.
2. Time required to ensure runway integrity
The work required to maintain runway integrity includes mainly two aspects: runway maintenance and runway refurbishment. The runway maintenance time refers to that a certain time needs to be reserved for runway maintenance before each flight, so that the runway can start flying after the runway maintenance time meets the use requirement; the runway renovation time is the time that after the runway is used for a period of time, the local part of the runway is damaged, the flight safety is influenced, and the runway needs to be closed for repairing the runway surface.
3. Time available on annual runway
The annual runway availability time is the weather permit time minus runway maintenance and refurbishment time.
4. Principle for determining training required time
The training required time is the time required for the aviation soldier to organize annual training. Aiming at a certain machine type, i training courses (i =1,2, \ 8230;, n) are definitely arranged in an annual training task, corresponding time is needed for completing each course, and the time is accumulated, so that the time required by annual training can be counted.
According to the habit of military airport flight statistics, the time requirement of completing each course for using the runway is expressed by adopting 'occupation time', and the time requirement is defined as follows: the time from the flying day to the end of using the airport (minus the flight standby time). The field occupying time reflects the comprehensive efficiency of flight organization, the field occupying time for completing the same training course is short, which shows that the comprehensive efficiency is high, otherwise, the field occupying time is longer, the comprehensive efficiency is low, and which shows that the delay similar to that in civil aviation exists.
In recent years, in military airport new construction and reconstruction and extension, the problem that whether a runway can meet the use requirement of the current army or how many airplanes can meet the parking training requirement at most is often faced, the current answer to the problem is only a qualitative and fuzzy answer, and a theoretical basis and a calculation and verification method are lacked.
Therefore, a method for evaluating the training capacity of the single runway of the military airport is urgently needed.
Disclosure of Invention
The invention aims to solve the defects in the prior art, provides a method for evaluating the training capacity of a single runway in a military airport, and provides a theoretical basis and a calculation method for evaluating the capacity of the single runway and opening double runways.
In order to achieve the purpose, the invention is implemented according to the following technical scheme:
a military airport single runway training capacity assessment method comprises the following steps:
s1, counting the occupying time KT of each plane corresponding to each training course average of the model to be used i I represents a training course, i =1,2, \ 8230;, n;
s2, counting the proportional coefficient alpha of each training course of the model to be used in the field time under four meteorological conditions of simple daytime, complex daytime, simple night, complex night and the like ij I represents training course, i =1,2, \8230;, n; j =1,2,3,4 corresponds to four meteorological conditions of simple daytime, complex daytime, simple nighttime and complex nighttime;
s3, counting allowable flight time T of annual meteorological conditions of the runway Weather and meteorology The system consists of allowable flight times corresponding to four weather conditions, namely simple daytime, complex daytime, simple nighttime and complex nighttime, and is respectively represented as follows: t' 1 、t’ 2 、t’ 3 、t’ 4
S4, counting average time t of runway preparation before annual flight 5 Annual runway refurbishment time t 6 And annual flight time N;
s5, from T Weather (meteorology) The preparation and renovation time of the annual runway is deducted to obtain the flight time available under four meteorological conditions of simple annual daytime, complex daytime, simple night and complex night, respectivelyExpressed as: t is t 1 、t 2 、t 3 、t 4
S6, according to the model annual training task to be used, calculating the occupation time ZT required by all the school subjects under four meteorological conditions of simple annual daytime, complex daytime, simple night and complex night t1 、ZT t2 、ZT t3 、ZT t4
S7, judging the occupation time and the available time of four weather conditions, namely simple daytime, complex daytime, simple night and complex night, according to the following judgment rules:
if:
ZT t1 ≤t 1 if the occupation time required by the simple weather conditions in the daytime meets the use requirement, otherwise, the runway cannot meet the use requirement, and double runways are required to be set;
ZT t2 ≤t 2 if the occupied time required by the complex weather conditions in the daytime meets the use requirement, otherwise, the runway cannot meet the use requirement, and double runways are required to be set;
ZT t3 ≤t 3 if the occupied time required by the simple weather conditions at night meets the use requirement, otherwise, the runway cannot meet the use requirement, and two runways are required to be set;
ZT t4 ≤t 4 if the land occupation time required by the complex weather conditions at night meets the use requirement, otherwise, the runway cannot meet the use requirement, and two runways need to be set;
s8, the total number M of the taking-off and landing aircrafts in the year can be used for representing the runway training capacity, and the calculation formula is as follows:
M=M simple daytime +M Diurnal complexity +M Simple at night +M Complexity at night
Wherein: the calculation formula of the annual taking-off and landing frame number corresponding to the four types of meteorological conditions is as follows:
Figure BDA0001953302760000051
in the formula:
M j taking off and landing for four weather conditions;
j =1,2,3,4 corresponds to simple daytime, complex daytime, simple nighttime, complex nighttime;
q j the average time of taking off and landing under four types of meteorological conditions of simple daytime, complex daytime, simple night and complex night is counted and can be obtained by comparing the occupation time under the four types of meteorological conditions with the guaranteed taking off and landing times.
Further, the specific step of S1 is: suppose that the annual training course of the model to be used has i courses, i =1,2, \8230, n, and the occupied space time needed for completing the corresponding course is ZT i Then the total annual field time ZT is:
Figure BDA0001953302760000052
wherein: ZT i =M i ×KT i
In the formula: m i Training the number of flying frames corresponding to the class i;
KT i and counting the average occupied time of each airplane for the corresponding course i.
Further, the model to be used in S2 is counted according to the proportion of the field time of each training course under four types of weather conditions, namely simple day, complex day, simple night and complex night, as follows:
Figure BDA0001953302760000053
/>
Figure BDA0001953302760000061
further, the all-year weather condition of the runway in S3 allows the available flight time to be T Weather (meteorology) Then T is Weather (meteorology) The calculation formula of (c) is as follows:
T weather and meteorology =t′ 1 +t′ 2 +t′ 3 +t′ 4
In the formula: t' 1 Time corresponding to the simple weather condition in order to satisfy the daytime;
t’ 2 the time corresponding to the complex meteorological condition in daytime is met;
t’ 3 meeting the time corresponding to the simple meteorological conditions at night;
t’ 4 the time corresponding to the complex meteorological conditions at night is met.
Further, the specific step of S5 is: suppose site maintenance time is T Site Then T is Ground The calculation formula of (a) is as follows:
T site =N×t 5 +t 6
In the formula: n is the annual airport flight time;
t 5 average time prepared for a pre-annual flight runway;
t 6 time for annual runway refurbishment.
Considering the influence of the field renovation time on the weather available time according to the most adverse condition without considering the overlapping between the renovation time and the weather allowable time, establishing an influence coefficient gamma,
Figure BDA0001953302760000062
the total available time of the year is T:
T=T weather and meteorology ×(1-γ)
The influence of the field renovation time is averagely distributed into four types of meteorological allowable flight time to obtain the corrected available flight time t 1 、t 2 、t 3 、t 4 The calculation formula is as follows:
t j =t′ j ×(1-γ)
in the formula: j =1,2,3,4 has the same meaning as above, corresponding to four types of meteorological conditions.
Further, the total field-occupying time under the four types of meteorological conditions of different classes in the S6 is calculated as follows:
Figure BDA0001953302760000071
Figure BDA0001953302760000072
Figure BDA0001953302760000073
Figure BDA0001953302760000074
/>
compared with the prior art, the invention provides a military airport single runway training capacity evaluation method taking the occupation time of flight organization, the field maintenance time and the airport weather allowable available flight time under four types of meteorological conditions as evaluation parameters on the basis of fully considering the use characteristics of military airports, provides a statistical method of the evaluation parameters, establishes a training capacity evaluation model and provides a decision basis for determining the training capacity of the single runway and judging the opening time of the double runway airport.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the following embodiments. The specific embodiments described herein are merely illustrative of the invention and do not delimit the invention.
The method for evaluating the training capacity of the single runway of the military airport comprises the following steps:
s1, counting training data of a planned model A of an H airport at an airport F, and counting average occupation time KT of each airplane corresponding to each training class of the A airplane i I represents a training course, i =1,2, \ 8230;, n; the method comprises the following specific steps: suppose there are i classes in the annual training class of the model to be used, i =1,2, \ 8230;, n, the corresponding class is completedThe required field occupation time is ZT i Then the total annual field time ZT is:
Figure BDA0001953302760000081
wherein: ZT i =M i ×KT i
In the formula: m is a group of i Training the number of flying frames corresponding to the class i;
KT i and counting the average occupied time of each airplane for the corresponding course i.
The occupation time reflects the utilization condition of the runway by the resident airplane, and all flight session data of the whole year can be counted by taking a building unit as an object aiming at a specific airplane type, and a session statistical sample table is shown in table 1.
TABLE 1 statistical table of the occupation time (according to training session, A type airplane)
Figure BDA0001953302760000082
To illustrate the application of the method, the following hypothetical data was used. Through a plurality of tables 1, the flight organization data of the A-type airplane at the F airport in one year can be counted, wherein 1604 times of flight fields are organized in 2017 all the year, the field occupation time is 288841 minutes, and 5 courseware are completed. A data basis is provided for H airports to be evaluated.
S2, counting the proportion coefficient alpha of the occupation time of each training class of the model to be used under four meteorological conditions of simple day, complex day, simple night and complex night in the whole year occupation time ij I represents a training course, i =1,2, \ 8230;, 5; j represents a meteorological condition, j =1,2,3,4 and corresponds to four types of meteorological conditions; the proportionality coefficient composition is shown in the following table, corresponding to the above example:
Figure BDA0001953302760000083
s3, counting the available total flight allowed by the annual meteorological conditions of the airport runwayTime is T Weather (meteorology) The allowable usable flight times corresponding to the simple weather conditions, the complex weather conditions, and the simple weather conditions are t' 1 、t’ 2 、t’ 3 、t’ 4 (ii) a Then T Weather (meteorology) The calculation formula of (a) is as follows:
T weather (meteorology) =t′ 1 +t′ 2 +t′ 3 +t′ 4
In the formula: t' 1 Time corresponding to the simple weather condition in order to satisfy the daytime;
t’ 2 the time corresponding to the complex meteorological condition in daytime is met;
t’ 3 the time corresponding to the simple meteorological conditions at night is met;
t’ 4 the time corresponding to the complex meteorological conditions at night is met.
By statistics, t' 1 、t’ 2 、t’ 3 、t’ 4 Respectively as follows: 128772, 103017, 80942, 55188, min. Then T Weather (meteorology) At 367920 minutes.
S4, counting average time t of runway preparation before annual flight 5 Annual runway refurbishment time t 6 And annual flight number N; the field maintenance time can be obtained by continuously counting the preparation time of the runway before each flight from the field affairs, and the annual runway maintenance time can be obtained by multiplying the annual flight times by the preparation time of the runway.
The runway refurbishment time can count the refurbishment data of the airport runway in the past year, the refurbishment time required in the year is predicted by analyzing refurbishment content and scale and combining the service life of the runway, the refurbishment can be arranged in the weather which cannot be organized for flying, and the influence on the use of the runway is reduced as much as possible.
By statistics, t 5 、t 6 And N are respectively: 90 minutes, 14400 minutes and 1604 sessions
S5, calculating a field renovation influence coefficient gamma, and determining available time t under four meteorological conditions of simple annual day, complex daytime, simple night and complex night 1 、t 2 、t 3 、t 4 (ii) a The method comprises the following specific steps: suppose site maintenance time is T Site Then T is Site The calculation formula of (c) is as follows:
T site =N×t 5 +t 6 =1604 × 90+14400=158760 minutes
In the formula: n is the annual airport flight time;
t 5 average time prepared for a pre-annual flight runway;
t 6 for annual runway refurbishment times.
Considering the influence of the field renovation time on the weather available time according to the most adverse condition without considering the overlapping between the renovation time and the weather allowable time, establishing an influence coefficient gamma,
Figure BDA0001953302760000101
the total available time of the year is T:
T=T weather (meteorology) 1-gamma 369720 x (1-0.43) =209714 min
The influence of the field renovation time is averagely distributed into four types of meteorological permissible flight time to obtain the corrected available flight time t 1 、t 2 、t 3 、t 4 The calculation formula is as follows:
t j =t′ j ×(1-γ)
in the formula: j =1,2,3,4 has the same meaning as above, corresponding to four types of meteorological conditions.
Calculated t 1 、t 2 、t 3 、t 4 Respectively as follows: 73400. 58720, 46137, 31457 minutes.
S6, according to the model annual training task, calculating the required occupation time ZT of all the school subjects under four meteorological conditions of simple annual daytime, complex daytime, simple night and complex night t1 、ZT t2 、ZT t3 、ZT t4 The calculation formula is as follows:
Figure BDA0001953302760000102
Figure BDA0001953302760000103
Figure BDA0001953302760000104
Figure BDA0001953302760000105
statistical derivation ZT t1 、ZT t2 、ZT t3 、ZT t4 Respectively as follows: 83317. 68364, 67284, 69876 min.
S7, determining the occupation time and the available time of four weather conditions, namely simple daytime, complex daytime, simple night and complex night, according to the following determination rules:
if:
ZT t1 ≤t 1 if the occupation time required by the simple weather conditions in the daytime meets the use requirement, otherwise, the runway cannot meet the use requirement, and double runways are required to be set;
ZT t2 ≤t 2 if the occupied time required by the complex weather conditions in the daytime meets the use requirement, otherwise, the runway cannot meet the use requirement, and double runways are required to be set;
ZT t3 ≤t 3 if the occupied time required by the simple weather conditions at night meets the use requirement, otherwise, the runway cannot meet the use requirement, and two runways are required to be set;
ZT t4 ≤t 4 if the occupied time required by the complex weather conditions at night meets the use requirement, otherwise, the runway cannot meet the use requirement, and two runways are required to be set;
the comparative cases in this example are as follows:
Figure BDA0001953302760000111
and (4) judging a conclusion: under four meteorological conditions, a single runway can not meet the training requirement of an A-type airplane, and double runways need to be arranged or the field renovation time needs to be reduced, so that the use requirement of the runway is met.
S8, calculating runway training capacity according to the following formula, wherein the total number M of the aircrafts taking off and landing can be guaranteed in year:
M=M simple daytime +M Daytime complexity +M Simple at night +M Complexity at night
Wherein: the calculation formula of the annual taking-off and landing frame number corresponding to the four types of meteorological conditions is as follows:
Figure BDA0001953302760000112
in the formula:
M j the annual taking off and landing times corresponding to the four types of meteorological conditions are set;
j =1,2,3,4 corresponds to simple daytime, complex daytime, simple nighttime, complex nighttime;
q j the average time of taking off and landing under four types of meteorological conditions of simple daytime, complex daytime, simple night and complex night is counted and can be obtained by comparing the occupation time under the four types of meteorological conditions with the guaranteed taking off and landing times.
Take the daytime under simple weather conditions as an example:
Figure BDA0001953302760000121
in the formula:
M simple daytime Showing the guaranteed number of take-off and landing stands under the condition of simple weather in daytime;
q 1 taking off and landing for a set of average time under the statistical daytime simple meteorological condition;
the number of take-off and landing stages which can be guaranteed under the daytime complex weather condition, the night simple weather condition and the night complex weather condition can be obtained by adopting the method, and the number is respectively as follows: 539. 378, 243 shelves.
And (4) conclusion: according to the training data of the F airport, the evaluation conclusion of the H airport to run to the training capacity is as follows: h airport construction list runway can't satisfy the training demand, need set up two runways, and list runway training capacity is: 1663 the number of the stands, wherein the four types of meteorological conditions are 503, 539, 378 and 243.
The technical solution of the present invention is not limited to the above-mentioned specific embodiments, and all technical modifications made according to the technical solution of the present invention fall within the protection scope of the present invention.

Claims (6)

1. A military airport single runway training capacity assessment method is characterized by comprising the following steps:
s1, counting the field occupation time KT of each taking-off and landing frame of the model to be used corresponding to each training course i I represents a training course, i =1,2, \ 8230;, n;
s2, counting the proportional coefficient alpha of the field time of each training course of the model to be used under four meteorological conditions of simple daytime, complex daytime, simple night and complex night ij I represents a training course, i =1,2, \ 8230;, n; j =1,2,3,4 corresponds to four meteorological conditions of simple daytime, complex daytime, simple nighttime and complex nighttime;
s3, counting the allowable flight time T of annual meteorological conditions of the runway Weather (meteorology) The system consists of allowable flight times corresponding to four weather conditions, namely simple daytime, complex daytime, simple nighttime and complex nighttime, and is respectively represented as follows: t' 1 、t’ 2 、t’ 3 、t’ 4
S4, counting average time t of runway preparation before annual flight 5 Annual runway refurbishment time t 6 And annual flight number N;
s5, from T Weather and meteorology Deducting the preparation time and the renovation time of the annual runway to obtain the available flight time under four meteorological conditions of simple annual daytime, complex daytime, simple night and complex nightIs respectively represented as t 1 、t 2 、t 3 、t 4
S6, according to the model annual training task, calculating the required occupation time ZT of all the school subjects under four meteorological conditions of simple annual daytime, complex daytime, simple night and complex night t1 、ZT t2 、ZT t3 、ZT t4
S7, judging the occupation time and the available time of four weather conditions, namely simple daytime, complex daytime, simple night and complex night, according to the following judgment rules:
if:
ZT t1 ≤t 1 if the land occupation time required by the simple weather conditions in daytime meets the use requirement, otherwise, the runway cannot meet the use requirement, and two runways need to be set;
ZT t2 ≤t 2 if the occupied time required by the complex weather conditions in the daytime meets the use requirement, otherwise, the runway cannot meet the use requirement, and double runways are required to be set;
ZT t3 ≤t 3 if the occupied time required by the simple weather conditions at night meets the use requirement, otherwise, the runway cannot meet the use requirement, and two runways need to be set;
ZT t4 ≤t 4 if the occupied time required by the complex weather conditions at night meets the use requirement, otherwise, the runway cannot meet the use requirement, and two runways are required to be set;
s8, the total number M of the taking-off and landing aircrafts in the year can be guaranteed to represent the runway training capacity, and the calculation formula is as follows:
M=M simple daytime +M Diurnal complexity +M Simple at night +M Complexity at night
Wherein: the calculation formula of the annual taking-off and landing frame number corresponding to the four types of meteorological conditions is as follows:
Figure FDA0004071531440000011
in the formula:
M j taking off and landing for four weather conditions;
j =1,2,3,4 corresponds to simple daytime, complex daytime, simple nighttime, complex nighttime;
q j the average time of taking off and landing under four types of meteorological conditions, namely simple daytime, complex daytime, simple night and complex night, is calculated by comparing the field occupation time under the four types of meteorological conditions with the guaranteed taking off and landing times.
2. The military airport single runway training capacity assessment method of claim 1, wherein: the S1 comprises the following specific steps: suppose that there are i classes for annual training of the model to be used, i =1,2, \ 8230;, n, and the field occupation time needed for completing the corresponding class is ZT i Then the total annual site occupation time ZT is:
Figure FDA0004071531440000012
/>
wherein: ZT i =M i ×KT i
In the formula: m i The number of the flying frames for training corresponding to the class i;
KT i and counting the average occupied time of each airplane corresponding to the class i.
3. The military airport single runway training capacity assessment method of claim 1, wherein: in the S2, the proportion of the planned model to the field time of each training course under four meteorological conditions of simple daytime, complex daytime, simple night and complex night is counted as follows:
Figure FDA0004071531440000021
4. the military airport single runway of claim 1The training capacity evaluation method is characterized in that: the available flight time allowed by the full-year meteorological conditions of the runway in the S3 is T Weather and meteorology Then T is Weather (meteorology) The calculation formula of (a) is as follows:
T weather (meteorology) =t′ 1 +t′ 2 +t′ 3 +t′ 4
In the formula: t' 1 Time corresponding to the simple weather condition in order to satisfy the daytime;
t’ 2 time corresponding to complex meteorological conditions in order to satisfy daytime;
t’ 3 meeting the time corresponding to the simple meteorological conditions at night;
t’ 4 the time corresponding to the complex meteorological conditions at night is met.
5. The military airport single runway training capacity assessment method of claim 1, wherein: the specific steps of S5 are as follows: suppose site maintenance time is T Site Then T is Ground The calculation formula of (c) is as follows:
T site =N×t 5 +t 6
In the formula: n is the annual airport flight time;
t 5 average time prepared for a pre-annual flight runway;
t 6 refurbishment time for annual runways;
the overlapping between the refurbishment time and the weather permission time is not considered, the influence of the field refurbishment time on the weather available time is considered according to the most adverse condition, an influence coefficient gamma is established,
Figure FDA0004071531440000022
the total available time of the year is T:
T=T weather (meteorology) ×(1-γ)
The influence of the field renovation time is averagely distributed into four types of meteorological permissible flight time to obtain the corrected available flight time t 1 、t 2 、t 3 、t 4 The calculation formula is as follows:
t j =t′ j x (1-. Gamma.), j =1,2,3,4 has the same meaning as above, corresponding to four types of meteorological conditions.
6. The military airport single runway training capacity assessment method of claim 1, wherein: and in the S6, the total field occupation time under the four types of meteorological conditions of different classes is calculated as follows:
Figure FDA0004071531440000031
Figure FDA0004071531440000032
Figure FDA0004071531440000033
Figure FDA0004071531440000034
/>
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