当前位置：首页>录取分数线>2026年上海工程技术大学823运筹学考研试题答案1

2026年上海工程技术大学823运筹学考研试题答案1

2026-02-05 03:46:26

2026年上海工程技术大学823运筹学考研试题答案1

浪花是本书作者，购买此习题书请直接加浪花微信langhuabulang购买，还有超值PDF赠送。

823运筹学是上海工程技术大学城市轨道交通学院的交通运输专硕、交通运输工程学硕，和航空运输学院的交通运输规划与管理方向的专硕的考研专业课。

给出了第五题动态规划题答案，该题属于离散型的动态规划题。

可在公众号下面的菜单栏找到大量运筹学考研资料。

可在公众号下面第一个菜单栏找到胡运权运筹学习题集第五版各章答案
可在公众号下面第一、第二个菜单栏找到运筹学考研的简答题、选择题、判断题、证明题、建模题、动态规划题等各专题集锦资料。
在B站搜浪花运筹学，有免费运筹学视频课程。
若对答案有疑惑，可在公众号下面第二个菜单栏的错误更正找到更正信息。
若需要试题和资料PDF版，可联系浪花（微信：langhuabulang），有优惠。
邮箱：meishuen123@163.com

本文来自网友投稿或网络内容，如有侵犯您的权益请联系我们删除，联系邮箱：wyl860211@qq.com 。

最新文章

随机文章

基本文件流程错误 SQL 调试

请求信息 : 2026-02-05 14:22:20 HTTP/2.0 GET : https://b.mffb.com.cn/a/469143.html
运行时间 : 0.108911s [ 吞吐率：9.18req/s ] 内存消耗：4,692.20kb 文件加载：140
缓存信息 : 0 reads,0 writes
会话信息 : SESSION_ID=9ee001312a46756d043ef5ee1474b6b1

/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/public/index.php ( 0.79 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/autoload.php ( 0.17 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/composer/autoload_real.php ( 2.49 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/composer/platform_check.php ( 0.90 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/composer/ClassLoader.php ( 14.03 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/composer/autoload_static.php ( 4.90 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-dumper/src/helper.php ( 0.18 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/symfony/var-dumper/VarDumper.php ( 4.30 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/app/provider.php ( 0.19 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/app/common.php ( 0.03 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/helper.php ( 18.78 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/app.php ( 0.95 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/cache.php ( 0.78 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/console.php ( 0.23 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/cookie.php ( 0.56 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/database.php ( 2.48 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/filesystem.php ( 0.61 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/lang.php ( 0.91 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/log.php ( 1.35 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/middleware.php ( 0.19 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/route.php ( 1.89 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/session.php ( 0.57 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/trace.php ( 0.34 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/config/view.php ( 0.82 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/app/event.php ( 0.25 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/app/service.php ( 0.13 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/app/AppService.php ( 0.26 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/services.php ( 0.14 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.21 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.44 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.29 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-helper/src/helper/Arr.php ( 16.63 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/cache/driver/File.php ( 7.84 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/app/Request.php ( 0.09 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/app/middleware.php ( 0.25 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/middleware/SessionInit.php ( 1.94 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Session.php ( 1.80 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/session/driver/File.php ( 6.27 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/contract/SessionHandlerInterface.php ( 0.87 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/session/Store.php ( 7.12 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/route/app.php ( 1.72 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/app/controller/Index.php ( 4.81 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/app/BaseController.php ( 2.05 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.44 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/PDOConnection.php ( 52.47 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/Builder.php ( 24.06 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/Query.php ( 15.71 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/facade/View.php ( 1.70 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-view/src/Think.php ( 8.38 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/runtime/temp/5111bd3ce6749a72e5b190c98fc708e0.php ( 11.98 KB )
/yingpanguazai/ssd/ssd1/www/b.mffb.com.cn/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )

CONNECT:[ UseTime:0.000613s ] mysql:host=127.0.0.1;port=3306;dbname=b_mffb;charset=utf8mb4
SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000936s ]
SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000339s ]
SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000267s ]
SHOW FULL COLUMNS FROM `set` [ RunTime:0.000560s ]
SELECT * FROM `set` [ RunTime:0.000212s ]
SHOW FULL COLUMNS FROM `article` [ RunTime:0.000644s ]
SELECT * FROM `article` WHERE `id` = 469143 LIMIT 1 [ RunTime:0.000420s ]
UPDATE `article` SET `lasttime` = 1770272540 WHERE `id` = 469143 [ RunTime:0.005703s ]
SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000409s ]
SELECT * FROM `article` WHERE `id` < 469143 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000556s ]
SELECT * FROM `article` WHERE `id` > 469143 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000427s ]
SELECT * FROM `article` WHERE `id` < 469143 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000834s ]
SELECT * FROM `article` WHERE `id` < 469143 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000746s ]
SELECT * FROM `article` WHERE `id` < 469143 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000781s ]

0.110554s

ShowPageTrace