Master Evaluation & Optimization Models: Concepts, Methods, and Algorithms

1. Evaluation Models

1.1 Concepts and Preprocessing Methods

Model Evaluation 01 – Basic concepts of evaluation models: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683829&idx=1&sn=01655252c135857609886c40c19f7732&chksm=8066b060b71139760f962ff9ef62ea16f0bbcfc3e791bebcdebb361989795799673e98c0b594&scene=21#wechat_redirect

Model Evaluation 02 – Data preprocessing: indicator selection: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683889&idx=1&sn=fb04f579e6c896062e11eacbf64c3464&chksm=8066b0a4b71139b2d41dd331712d02076d9b11d910b66582098934740de27ce0008e91b148fb&scene=21#wechat_redirect

Model Evaluation 03 – Data preprocessing: indicator normalization: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683927&idx=4&sn=180615c07efc7d4f26ef74fdb2c551e4&chksm=8066b0c2b71139d4e701d127f25cc15f3f948bd725d59e47e52000174fb833c4b673ce4cecfa&scene=21#wechat_redirect

Model Evaluation 04 – Data preprocessing: dimensionless handling: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683927&idx=3&sn=0aa417e38155695f6def689761c5b39f&chksm=8066b0c2b71139d4e16a38208f3a22c00acfb5e31231467933fd1719368a721854e58007bfef&scene=21#wechat_redirect

1.2 Weighting and Comprehensive Evaluation Models

TOPSIS method: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683927&idx=2&sn=dd0008a11e5614fbc7538bdd3a1cc1c2&chksm=8066b0c2b71139d4e494f280a057b79ed90d265e12e426c5b69db0bd0642fe69f35f9ee7107b&scene=21#wechat_redirect

Entropy weight method: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683927&idx=1&sn=87bed2db2ee360cba3df37a452d070c7&chksm=8066b0c2b71139d4091d56fde0c81f75ee968d060a2fbe0c94d2ff354c8d23a5b86307c08924&scene=21#wechat_redirect

CRITIC method: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684136&idx=1&sn=294d45d352e133f5bb977db5230d3386&chksm=8066b1bdb71138ab6d26d502e85adf046a93f1dd6f8ab6bd6e93aeb779ac8795ad1a7bbe1f42&scene=21#wechat_redirect

AHP (Analytic Hierarchy Process): http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684136&idx=2&sn=d580ca072c3f96c79bea3f319c622814&chksm=8066b1bdb71138abde71ac3f03b744701d7eb6543245df8d0458ff158f2ca72dde1eb2ce8d51&scene=21#wechat_redirect

Fuzzy comprehensive evaluation: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684239&idx=3&sn=731a467187e392dc33988e693a3711c8&chksm=8066b1bdb71138ab9017089b0dfdbd2d2e60eadd9675795350b8fbd31c6fb7f368052f0395af&scene=21#wechat_redirect

Rank-sum ratio method: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684238&idx=3&sn=0a423a6d3984fc3c59111f41f1577793&chksm=8066b21bb7113b0d07fe63c7dfccb02a8417e6a67ec0cd6f291840437ced777611d43a4c7467&scene=21#wechat_redirect

Grey relational analysis: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684238&idx=2&sn=947fccd03456d8f4e20787aaab7a4d7a&chksm=8066b21bb7113b0dcb7eec83711af65205f96932e84ae3e426f9671e489ff85781580cae88ee&scene=21#wechat_redirect

"卷" model – measuring differences with four mathematical models: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684238&idx=1&sn=38808e83e3d880c37bcb53645e1ce374&chksm=8066b21bb7113b0d7a256f2b7bbfde723758cd5582e80f239876d24de745e89327dc5ac71d1d&scene=21#wechat_redirect

2. Optimization Models

2.1 Linear and Integer Programming

Linear programming basics: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683731&idx=1&sn=7c795ace01f91382504a6d180539b752&chksm=8066b006b711391099ee30a6effc707a13ade8e36bf795aac173712515e120c73db4484353f8&scene=21#wechat_redirect

Integer programming basics: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683731&idx=2&sn=a25da3a5af16ce69219f0ffee50c4867&chksm=8066b006b71139101745208a36e22cb79bd06a85f6a4fa49a8307edec2daf4b202ebe3a0e807&scene=21#wechat_redirect

Fixed‑cost model: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684008&idx=1&sn=0b911d41200e6671ce8a27bc5e9bc15a&chksm=8066b13db711382b43945f838ca1979f76e3d4da3fa95a98243b6e95dd7b740e6ab9c82cd5de&scene=21#wechat_redirect

Location problem: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684008&idx=2&sn=0ce45b793e1aa424ceaded5e0a30a880&chksm=8066b13db711382b4589657ddc00b7a194a7e7bc297e3da2f061542786bb34fc7ac7ab66322a&scene=21#wechat_redirect

Sensitivity analysis for linear programming: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684698&idx=2&sn=a5166bf3f1f571fa4223694b82207a84&chksm=8066b3cfb7113ad9754b831f3aba27f9809bc85369d266df6e1def7013eaed9c73b8fba06d3c&scene=21#wechat_redirect

Multi‑period production scheduling: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684482&idx=1&sn=4b6515a4d8dc89aacd9e961acf8aa45c&chksm=8066b317b7113a01f3262ebd9873494ea10652aa31f26f885efecbeec3d25f31ea54888c7afc&scene=21#wechat_redirect

Transportation problem: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684710&idx=1&sn=fca83eb1c2fce9fa7e15430c5d7ad2ba&chksm=8066b3f3b7113ae5259acdb50963a869a57c4f0daad4344af426aa10be031378c28bfc3ee6dc&scene=21#wechat_redirect

2.2 Graph Theory

Basic concepts of graph theory: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684314&idx=1&sn=253fa26a10e3ffd5a93ddd07b32102cf&chksm=8066b24fb7113b5901a6340cffdb11fded2cfa2abd7319b27849c9d6d36304cf1b18a117c0a7&scene=21#wechat_redirect

Graph representation: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684314&idx=2&sn=8fe2d9193886bcfca55ae2c26ffee1bc&chksm=8066b24fb7113b593be872ef51e72e13313fc5609166ffdaebf05431b61ce26c279a336ddc07&scene=21#wechat_redirect

Complex network concepts and properties: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684740&idx=1&sn=578510d1ebf8de036a294bcb0f6f2be6&chksm=8066b411b7113d0750d05827b81469ac70dfecf5c676c4cb1ed986e69b3b880c03a1cb0bd404&scene=21#wechat_redirect

Shortest‑path algorithm: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684041&idx=1&sn=131cd39b592569885f389668829644ca&chksm=8066b15cb711384aa7053da93367bfb97194b99486c98b4f1d978e4555b4d6a1c02c0f2b1a4c&scene=21#wechat_redirect

Minimum spanning tree problem: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684041&idx=2&sn=99f3ce2de2d5f9a5518b92cd9538fc9d&chksm=8066b15cb711384a080b5687b9f4f817685063957bbba551756321ce5a96f64b9cdd6e36edc5&scene=21#wechat_redirect

Maximum flow problem: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684041&idx=3&sn=73b73042a043f7c4d6c21691e3d66150&chksm=8066b15cb711384a95f3115d55b933b854d28c55db95fa805ad6f566455fbcb3390bcc8a3e19&scene=21#wechat_redirect

Minimum‑cost flow problem: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684041&idx=4&sn=eb67b5139720aa9bf0da6d250d366aca&chksm=8066b15cb711384a3ed02eac7d4216f6cc4f87d574015cfb66354945a65c83459c0059782307&scene=21#wechat_redirect

2.3 Optimization Algorithms

Simulated annealing – basic idea: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684239&idx=1&sn=6ac499cecd57a41bfcee6fd9fe4df87e&chksm=8066b21ab7113b0c03a353ea1a80925c424ccdb19837b7b368897f493acf185794ff1ffb262c&scene=21#wechat_redirect

Simulated annealing – step‑by‑step procedure: http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684239&idx=2&sn=154c61e1092f89d32e0d1045c5d4ff28&chksm=8066b21ab7113b0c335328eb3a06d21d2974ad125fc0f68da29c55b66c7ff6f0fe658a743a9f&scene=21#wechat_redirect

Genetic algorithm (comic illustration): http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684828&idx=1&sn=2556f195cb753f5b7171a4f5bf50c0ba&chksm=8066b449b7113d5f64a7ce11181e2319e0dc2343460f65f296b366c46d75147e8b761cf1738b&scene=21#wechat_redirect