Lecture 1-LP1 - Spreadsheet Modeling Decision Analysis A...

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Spreadsheet Modeling & Decision Analysis A Practical Introduction to Management Science 5 th edition Cliff T. Ragsdale
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Gi i thi u v t i u hóa và ề ố ư quy ho ch tuy n tính ế Lecture 1
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Gi i thi u T t c chúng ta ph i đ i m t v i quy t ế đ nh v vi c s d ng các ng n l c h n ch nh th nào, ví d nh : ế ư ế ư D u m trong lòng đ t Đ t đ ch a ch t th i Th i gian Ti n b c Lao đ ng
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T i u toán... ố ư T i u toán (mathematical programming) ố ư là m t lĩnh v c trong khoa h c qu n tr giúp tím ra cách th c t i u, hay hi u qu ố ư nh t trong vi c s d ng các ngu n l c h n ch đ đ t đ c m t m c tiêu c th ế ượ trong kinh doanh. G i là T i u hóa (Optimization) ố ư
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Các ng d ng c a t i u hóa ố ư Xác đ nh t h p s n ph m Ch t o/s n xu t ế ạ V n t i và cung ng K ho ch tài chính ế
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Tính ch t c a các bài toán t i u ố ư Các bi n quy t đ nh (Decisions) ế ế Các đi u ki n kh ng ch ế (Constraints) Hàm m c tiêu (Objectives)
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D ng t ng quát c a m t bài toán t i u ố ư hóa MAX (or MIN): f 0 (X 1 , X 2 , …, X n ) Subject to: f 1 (X 1 , X 2 , …, X n )<=b 1 : f k (X 1 , X 2 , …, X n )>=b k : f m (X 1 , X 2 , …, X n )=b m Ghi chú: N u t t c các hàm trong bài toán t i u là ế ố ư hàm tuy n tính, bài toán này đ c g i là bài toán t i ế ượ u tuy n tính ư ế
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Bài toán t i u tuy n tính (LP) ố ư ế MAX (or MIN): c 1 X 1 + c 2 X 2 + … + c n X n Subject to: a 11 X 1 + a 12 X 2 + … + a 1 n X n <= b 1 : a k 1 X 1 + a k 2 X 2
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