Optimal penetration landing trajectories in the presence of windshear View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1988-04

AUTHORS

A. Miele, T. Wang, H. Wang, W. W. Melvin

ABSTRACT

This paper is concerned with optimal flight trajectories in the presence of windshear. The penetration landing problem is considered with reference to flight in a vertical plane, governed by either one control (the angle of attack, if the power setting is predetermined) or two controls (the angle of attack and the power setting). Inequality constraints are imposed on the angle of attack, the power setting, and their time derivatives.The performance index being minimized measures the deviation of the flight trajectory from a nominal trajectory. In turn, the nominal trajectory includes two parts: the approach part, in which the slope is constant; and the flare part, in which the slope is a linear function of the horizontal distance. In the optimization process, the time is free; the absolute path inclination at touchdown is specified; the touchdown velocity is subject to upper and lower bounds; and the touchdown distance is subject to upper and lower bounds.Three power setting schemes are investigated: (S1) maximum power setting; (S2) constant power setting; and (S3) control power setting. In Scheme (S1), it is assumed that, immediately after the windshear onset, the power setting is increased at a constant time rate until maximum power setting is reached; afterward, the power setting is held constant; in this scheme, the only control is the angle of attack. In Scheme (S2), it is assumed that the power setting is held at a constant value, equal to the prewindshear value; in this scheme, the only control is the angle of attack. In Scheme (S3), the power setting is regarded as a control, just as the angle of attack.Under the above conditions, the optimal control problem is solved by means of the primal sequential gradient-restoration algorithm (PSGRA). Numerical results are obtained for several combinations of windshear intensities and initial altitudes. The main conclusions are given below with reference to strong-to-severe windshears.In Scheme (S1), the touchdown requirements can be satisfied for relatively low initial altitudes, while they cannot be satisfied for relatively high initial altitudes; the major inconvenient is excess of velocity at touchdown. In Scheme (S2), the touchdown requirements cannot be satisfied, regardless of the initial altitude; the major inconvenient is defect of horizontal distance at touchdown.In Scheme (S3), the touchdown requirements can be satisfied, and the optimal trajectories exhibit the following characteristics: (i) the angle of attack has an initial decrease, which is followed by a gradual, sustained increase; the largest value of the angle of attack is attained near the end of the shear; in the aftershear region, the angle of attack decreases gradually; (ii) initially, the power setting increases rapidly until maximum power setting is reached; then, maximum power setting is maintained in the shear region; in the aftershear region, the power setting decreases gradually; (iii) the relative velocity decreases in the shear region and increases in the aftershear region; the point of minimum velocity occurs at the end of the shear; and (iv) depending on the windshear intensity and the initial altitude, the deviations of the flight trajectory from the nominal trajectory can be considerable in the shear region; however, these deviations become small in the aftershear region, and the optimal flight trajectory recovers the nominal trajectory.A comparison is shown between the optimal trajectories of Scheme (S3) and the trajectories arising from alternative guidance schemes, such as fixed controls (fixed angle of attack, coupled with fixed power setting) and autoland (angle of attack controlled via path inclination signals, coupled with power setting controlled via velocity signals). The superiority of the optimal trajectories of Scheme (S3) is shown in terms of the ability to meet the path inclination, velocity, and distance requirements at touchdown. Therefore, it is felt that guidance schemes based on the properties of the optimal trajectories of Scheme (S3) should prove to be superior to alternative guidance schemes, such as the fixed control guidance scheme and the autoland guidance scheme. More... »

PAGES

1-40

References to SciGraph publications

  • 1986-07. Guidance strategies for near-optimum take-off performance in a windshear in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1987-08. Quasi-steady flight to quasi-steady flight transition in a windshear: Trajectory optimization and guidance in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1986-04. Optimal take-off trajectories in the presence of windshear in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1987-05. Maximum survival capability of an aircraft in a severe windshear in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00939327

    DOI

    http://dx.doi.org/10.1007/bf00939327

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1007459903


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0102", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Applied Mathematics", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Aero-Astronautics Group, Rice University, Houston, Texas", 
              "id": "http://www.grid.ac/institutes/grid.21940.3e", 
              "name": [
                "Aero-Astronautics Group, Rice University, Houston, Texas"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Miele", 
            "givenName": "A.", 
            "id": "sg:person.015552732657.49", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015552732657.49"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Aero-Astronautics Group, Rice University, Houston, Texas", 
              "id": "http://www.grid.ac/institutes/grid.21940.3e", 
              "name": [
                "Aero-Astronautics Group, Rice University, Houston, Texas"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Wang", 
            "givenName": "T.", 
            "id": "sg:person.014414570607.44", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014414570607.44"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Aero-Astronautics Group, Rice University, Houston, Texas", 
              "id": "http://www.grid.ac/institutes/grid.21940.3e", 
              "name": [
                "Aero-Astronautics Group, Rice University, Houston, Texas"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Wang", 
            "givenName": "H.", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Airworthiness and Performance Committee, Air Line Pilots Association (ALPA), Washington, DC", 
              "id": "http://www.grid.ac/institutes/None", 
              "name": [
                "Airworthiness and Performance Committee, Air Line Pilots Association (ALPA), Washington, DC"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Melvin", 
            "givenName": "W. W.", 
            "id": "sg:person.011027201155.13", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011027201155.13"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf00939432", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036244035", 
              "https://doi.org/10.1007/bf00939432"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00938475", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005655216", 
              "https://doi.org/10.1007/bf00938475"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00939246", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016081985", 
              "https://doi.org/10.1007/bf00939246"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00939214", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049857998", 
              "https://doi.org/10.1007/bf00939214"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1988-04", 
        "datePublishedReg": "1988-04-01", 
        "description": "This paper is concerned with optimal flight trajectories in the presence of windshear. The penetration landing problem is considered with reference to flight in a vertical plane, governed by either one control (the angle of attack, if the power setting is predetermined) or two controls (the angle of attack and the power setting). Inequality constraints are imposed on the angle of attack, the power setting, and their time derivatives.The performance index being minimized measures the deviation of the flight trajectory from a nominal trajectory. In turn, the nominal trajectory includes two parts: the approach part, in which the slope is constant; and the flare part, in which the slope is a linear function of the horizontal distance. In the optimization process, the time is free; the absolute path inclination at touchdown is specified; the touchdown velocity is subject to upper and lower bounds; and the touchdown distance is subject to upper and lower bounds.Three power setting schemes are investigated: (S1) maximum power setting; (S2) constant power setting; and (S3) control power setting. In Scheme (S1), it is assumed that, immediately after the windshear onset, the power setting is increased at a constant time rate until maximum power setting is reached; afterward, the power setting is held constant; in this scheme, the only control is the angle of attack. In Scheme (S2), it is assumed that the power setting is held at a constant value, equal to the prewindshear value; in this scheme, the only control is the angle of attack. In Scheme (S3), the power setting is regarded as a control, just as the angle of attack.Under the above conditions, the optimal control problem is solved by means of the primal sequential gradient-restoration algorithm (PSGRA). Numerical results are obtained for several combinations of windshear intensities and initial altitudes. The main conclusions are given below with reference to strong-to-severe windshears.In Scheme (S1), the touchdown requirements can be satisfied for relatively low initial altitudes, while they cannot be satisfied for relatively high initial altitudes; the major inconvenient is excess of velocity at touchdown. In Scheme (S2), the touchdown requirements cannot be satisfied, regardless of the initial altitude; the major inconvenient is defect of horizontal distance at touchdown.In Scheme (S3), the touchdown requirements can be satisfied, and the optimal trajectories exhibit the following characteristics: (i) the angle of attack has an initial decrease, which is followed by a gradual, sustained increase; the largest value of the angle of attack is attained near the end of the shear; in the aftershear region, the angle of attack decreases gradually; (ii) initially, the power setting increases rapidly until maximum power setting is reached; then, maximum power setting is maintained in the shear region; in the aftershear region, the power setting decreases gradually; (iii) the relative velocity decreases in the shear region and increases in the aftershear region; the point of minimum velocity occurs at the end of the shear; and (iv) depending on the windshear intensity and the initial altitude, the deviations of the flight trajectory from the nominal trajectory can be considerable in the shear region; however, these deviations become small in the aftershear region, and the optimal flight trajectory recovers the nominal trajectory.A comparison is shown between the optimal trajectories of Scheme (S3) and the trajectories arising from alternative guidance schemes, such as fixed controls (fixed angle of attack, coupled with fixed power setting) and autoland (angle of attack controlled via path inclination signals, coupled with power setting controlled via velocity signals). The superiority of the optimal trajectories of Scheme (S3) is shown in terms of the ability to meet the path inclination, velocity, and distance requirements at touchdown. Therefore, it is felt that guidance schemes based on the properties of the optimal trajectories of Scheme (S3) should prove to be superior to alternative guidance schemes, such as the fixed control guidance scheme and the autoland guidance scheme.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/bf00939327", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1044187", 
            "issn": [
              "0022-3239", 
              "1573-2878"
            ], 
            "name": "Journal of Optimization Theory and Applications", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "57"
          }
        ], 
        "keywords": [
          "nominal trajectory", 
          "optimal trajectories", 
          "presence of windshear", 
          "windshear intensities", 
          "guidance scheme", 
          "angle of attack", 
          "lower bounds", 
          "optimal control problem", 
          "sequential gradient-restoration algorithm", 
          "major inconvenient", 
          "gradient-restoration algorithm", 
          "path inclination", 
          "maximum power setting", 
          "absolute path inclination", 
          "optimal flight trajectories", 
          "constant time rate", 
          "severe windshear", 
          "control problem", 
          "inequality constraints", 
          "time derivative", 
          "relative velocity decreases", 
          "initial altitude", 
          "shear region", 
          "optimization process", 
          "landing problem", 
          "numerical results", 
          "landing trajectories", 
          "performance index", 
          "linear function", 
          "bounds", 
          "large values", 
          "scheme", 
          "flight trajectory", 
          "windshear", 
          "time rate", 
          "only control", 
          "trajectories", 
          "velocity decreases", 
          "velocity", 
          "minimum velocity", 
          "problem", 
          "vertical plane", 
          "constant power setting", 
          "flare part", 
          "constant value", 
          "above conditions", 
          "angle", 
          "touchdown velocity", 
          "algorithm", 
          "constraints", 
          "deviation", 
          "horizontal distance", 
          "approach part", 
          "distance", 
          "main conclusion", 
          "touchdown distance", 
          "shear", 
          "distance requirements", 
          "plane", 
          "touchdown", 
          "flight", 
          "control", 
          "inclination", 
          "superiority", 
          "inconvenient", 
          "terms", 
          "properties", 
          "point", 
          "values", 
          "function", 
          "altitude", 
          "requirements", 
          "power settings", 
          "derivatives", 
          "region", 
          "means", 
          "reference", 
          "intensity", 
          "slope", 
          "part", 
          "conditions", 
          "results", 
          "comparison", 
          "attacks", 
          "end", 
          "setting", 
          "recovers", 
          "time", 
          "presence", 
          "process", 
          "autoland", 
          "characteristics", 
          "combination", 
          "settings increases", 
          "measures", 
          "turn", 
          "increase", 
          "index", 
          "rate", 
          "excess", 
          "ability", 
          "decrease", 
          "conclusion", 
          "onset", 
          "initial decrease", 
          "paper", 
          "sustained increase"
        ], 
        "name": "Optimal penetration landing trajectories in the presence of windshear", 
        "pagination": "1-40", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1007459903"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf00939327"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf00939327", 
          "https://app.dimensions.ai/details/publication/pub.1007459903"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-11-24T20:46", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20221124/entities/gbq_results/article/article_192.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/bf00939327"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf00939327'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf00939327'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf00939327'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf00939327'


     

    This table displays all metadata directly associated to this object as RDF triples.

    203 TRIPLES      21 PREDICATES      136 URIs      124 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf00939327 schema:about anzsrc-for:01
    2 anzsrc-for:0102
    3 schema:author N70dea7934dfa481c815b7a6c9b805ce6
    4 schema:citation sg:pub.10.1007/bf00938475
    5 sg:pub.10.1007/bf00939214
    6 sg:pub.10.1007/bf00939246
    7 sg:pub.10.1007/bf00939432
    8 schema:datePublished 1988-04
    9 schema:datePublishedReg 1988-04-01
    10 schema:description This paper is concerned with optimal flight trajectories in the presence of windshear. The penetration landing problem is considered with reference to flight in a vertical plane, governed by either one control (the angle of attack, if the power setting is predetermined) or two controls (the angle of attack and the power setting). Inequality constraints are imposed on the angle of attack, the power setting, and their time derivatives.The performance index being minimized measures the deviation of the flight trajectory from a nominal trajectory. In turn, the nominal trajectory includes two parts: the approach part, in which the slope is constant; and the flare part, in which the slope is a linear function of the horizontal distance. In the optimization process, the time is free; the absolute path inclination at touchdown is specified; the touchdown velocity is subject to upper and lower bounds; and the touchdown distance is subject to upper and lower bounds.Three power setting schemes are investigated: (S1) maximum power setting; (S2) constant power setting; and (S3) control power setting. In Scheme (S1), it is assumed that, immediately after the windshear onset, the power setting is increased at a constant time rate until maximum power setting is reached; afterward, the power setting is held constant; in this scheme, the only control is the angle of attack. In Scheme (S2), it is assumed that the power setting is held at a constant value, equal to the prewindshear value; in this scheme, the only control is the angle of attack. In Scheme (S3), the power setting is regarded as a control, just as the angle of attack.Under the above conditions, the optimal control problem is solved by means of the primal sequential gradient-restoration algorithm (PSGRA). Numerical results are obtained for several combinations of windshear intensities and initial altitudes. The main conclusions are given below with reference to strong-to-severe windshears.In Scheme (S1), the touchdown requirements can be satisfied for relatively low initial altitudes, while they cannot be satisfied for relatively high initial altitudes; the major inconvenient is excess of velocity at touchdown. In Scheme (S2), the touchdown requirements cannot be satisfied, regardless of the initial altitude; the major inconvenient is defect of horizontal distance at touchdown.In Scheme (S3), the touchdown requirements can be satisfied, and the optimal trajectories exhibit the following characteristics: (i) the angle of attack has an initial decrease, which is followed by a gradual, sustained increase; the largest value of the angle of attack is attained near the end of the shear; in the aftershear region, the angle of attack decreases gradually; (ii) initially, the power setting increases rapidly until maximum power setting is reached; then, maximum power setting is maintained in the shear region; in the aftershear region, the power setting decreases gradually; (iii) the relative velocity decreases in the shear region and increases in the aftershear region; the point of minimum velocity occurs at the end of the shear; and (iv) depending on the windshear intensity and the initial altitude, the deviations of the flight trajectory from the nominal trajectory can be considerable in the shear region; however, these deviations become small in the aftershear region, and the optimal flight trajectory recovers the nominal trajectory.A comparison is shown between the optimal trajectories of Scheme (S3) and the trajectories arising from alternative guidance schemes, such as fixed controls (fixed angle of attack, coupled with fixed power setting) and autoland (angle of attack controlled via path inclination signals, coupled with power setting controlled via velocity signals). The superiority of the optimal trajectories of Scheme (S3) is shown in terms of the ability to meet the path inclination, velocity, and distance requirements at touchdown. Therefore, it is felt that guidance schemes based on the properties of the optimal trajectories of Scheme (S3) should prove to be superior to alternative guidance schemes, such as the fixed control guidance scheme and the autoland guidance scheme.
    11 schema:genre article
    12 schema:isAccessibleForFree false
    13 schema:isPartOf Nc56ba282fa3e4959a6a124a36d7e4641
    14 Nee2946c45c64496aa7b6ce44d7f80585
    15 sg:journal.1044187
    16 schema:keywords ability
    17 above conditions
    18 absolute path inclination
    19 algorithm
    20 altitude
    21 angle
    22 angle of attack
    23 approach part
    24 attacks
    25 autoland
    26 bounds
    27 characteristics
    28 combination
    29 comparison
    30 conclusion
    31 conditions
    32 constant power setting
    33 constant time rate
    34 constant value
    35 constraints
    36 control
    37 control problem
    38 decrease
    39 derivatives
    40 deviation
    41 distance
    42 distance requirements
    43 end
    44 excess
    45 flare part
    46 flight
    47 flight trajectory
    48 function
    49 gradient-restoration algorithm
    50 guidance scheme
    51 horizontal distance
    52 inclination
    53 inconvenient
    54 increase
    55 index
    56 inequality constraints
    57 initial altitude
    58 initial decrease
    59 intensity
    60 landing problem
    61 landing trajectories
    62 large values
    63 linear function
    64 lower bounds
    65 main conclusion
    66 major inconvenient
    67 maximum power setting
    68 means
    69 measures
    70 minimum velocity
    71 nominal trajectory
    72 numerical results
    73 only control
    74 onset
    75 optimal control problem
    76 optimal flight trajectories
    77 optimal trajectories
    78 optimization process
    79 paper
    80 part
    81 path inclination
    82 performance index
    83 plane
    84 point
    85 power settings
    86 presence
    87 presence of windshear
    88 problem
    89 process
    90 properties
    91 rate
    92 recovers
    93 reference
    94 region
    95 relative velocity decreases
    96 requirements
    97 results
    98 scheme
    99 sequential gradient-restoration algorithm
    100 setting
    101 settings increases
    102 severe windshear
    103 shear
    104 shear region
    105 slope
    106 superiority
    107 sustained increase
    108 terms
    109 time
    110 time derivative
    111 time rate
    112 touchdown
    113 touchdown distance
    114 touchdown velocity
    115 trajectories
    116 turn
    117 values
    118 velocity
    119 velocity decreases
    120 vertical plane
    121 windshear
    122 windshear intensities
    123 schema:name Optimal penetration landing trajectories in the presence of windshear
    124 schema:pagination 1-40
    125 schema:productId N83330dd8be9b4a5c9a0610a1de43fc9c
    126 Nb66c93ced70b4f6e9af439e05a598b1d
    127 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007459903
    128 https://doi.org/10.1007/bf00939327
    129 schema:sdDatePublished 2022-11-24T20:46
    130 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    131 schema:sdPublisher N5e17c5440baa4a478332b182baf5f75f
    132 schema:url https://doi.org/10.1007/bf00939327
    133 sgo:license sg:explorer/license/
    134 sgo:sdDataset articles
    135 rdf:type schema:ScholarlyArticle
    136 N5e17c5440baa4a478332b182baf5f75f schema:name Springer Nature - SN SciGraph project
    137 rdf:type schema:Organization
    138 N70dea7934dfa481c815b7a6c9b805ce6 rdf:first sg:person.015552732657.49
    139 rdf:rest N79105c67959d448f8663ba6ce7f0958e
    140 N79105c67959d448f8663ba6ce7f0958e rdf:first sg:person.014414570607.44
    141 rdf:rest Nf4fb2afab68f449aa966efefef0a3be3
    142 N83330dd8be9b4a5c9a0610a1de43fc9c schema:name doi
    143 schema:value 10.1007/bf00939327
    144 rdf:type schema:PropertyValue
    145 N8daeaae99c8a421396c731dee770944c schema:affiliation grid-institutes:grid.21940.3e
    146 schema:familyName Wang
    147 schema:givenName H.
    148 rdf:type schema:Person
    149 Nb66c93ced70b4f6e9af439e05a598b1d schema:name dimensions_id
    150 schema:value pub.1007459903
    151 rdf:type schema:PropertyValue
    152 Nc56ba282fa3e4959a6a124a36d7e4641 schema:volumeNumber 57
    153 rdf:type schema:PublicationVolume
    154 Nd54d869f32314a848bba255db8eb23b8 rdf:first sg:person.011027201155.13
    155 rdf:rest rdf:nil
    156 Nee2946c45c64496aa7b6ce44d7f80585 schema:issueNumber 1
    157 rdf:type schema:PublicationIssue
    158 Nf4fb2afab68f449aa966efefef0a3be3 rdf:first N8daeaae99c8a421396c731dee770944c
    159 rdf:rest Nd54d869f32314a848bba255db8eb23b8
    160 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    161 schema:name Mathematical Sciences
    162 rdf:type schema:DefinedTerm
    163 anzsrc-for:0102 schema:inDefinedTermSet anzsrc-for:
    164 schema:name Applied Mathematics
    165 rdf:type schema:DefinedTerm
    166 sg:journal.1044187 schema:issn 0022-3239
    167 1573-2878
    168 schema:name Journal of Optimization Theory and Applications
    169 schema:publisher Springer Nature
    170 rdf:type schema:Periodical
    171 sg:person.011027201155.13 schema:affiliation grid-institutes:None
    172 schema:familyName Melvin
    173 schema:givenName W. W.
    174 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011027201155.13
    175 rdf:type schema:Person
    176 sg:person.014414570607.44 schema:affiliation grid-institutes:grid.21940.3e
    177 schema:familyName Wang
    178 schema:givenName T.
    179 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014414570607.44
    180 rdf:type schema:Person
    181 sg:person.015552732657.49 schema:affiliation grid-institutes:grid.21940.3e
    182 schema:familyName Miele
    183 schema:givenName A.
    184 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015552732657.49
    185 rdf:type schema:Person
    186 sg:pub.10.1007/bf00938475 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005655216
    187 https://doi.org/10.1007/bf00938475
    188 rdf:type schema:CreativeWork
    189 sg:pub.10.1007/bf00939214 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049857998
    190 https://doi.org/10.1007/bf00939214
    191 rdf:type schema:CreativeWork
    192 sg:pub.10.1007/bf00939246 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016081985
    193 https://doi.org/10.1007/bf00939246
    194 rdf:type schema:CreativeWork
    195 sg:pub.10.1007/bf00939432 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036244035
    196 https://doi.org/10.1007/bf00939432
    197 rdf:type schema:CreativeWork
    198 grid-institutes:None schema:alternateName Airworthiness and Performance Committee, Air Line Pilots Association (ALPA), Washington, DC
    199 schema:name Airworthiness and Performance Committee, Air Line Pilots Association (ALPA), Washington, DC
    200 rdf:type schema:Organization
    201 grid-institutes:grid.21940.3e schema:alternateName Aero-Astronautics Group, Rice University, Houston, Texas
    202 schema:name Aero-Astronautics Group, Rice University, Houston, Texas
    203 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...