Introduction to Graph Theory

May 5th, 2015
Studypool Tutor
Price: $10 USD

Tutor description

Operations research An introduction to solution methods Ecole des Mines de Nantes Master MOST 2012-2013

Word Count: 1375
Showing Page: 1/30
Introduction to Graph TheoryOperations researchAn introduction to solution methodsEcole des Mines de Nantes Master MOST 2012-2013Olivier Pton- 1-ProblemMin f ( x )xS An optimization problem S is the solution set that represents all feasible solutions of a problem. f is the objective function that maps S to R. It evaluates each feasible solution. Also called evaluation function or cost function Minimization = maximization !max f ( x) min ( f ( x))xS xS- 2-Mathematical modeling1.Decision Variables x1,,xn A solution = a value for each variable Objective function min f(x1,,xn) Constraints g1(x1,,xn) a g2(x1,,xn) b g3(x1,,xn) = c2.3.- 3-Solutions of an optimization problem What is a feasible solution ? What is an optimal solution ? How many optimal solutions are there for a given problem ?- 4-Combinatorial Optimization (C.O.) problemsDifferent fields in Optimization: Linear Programming Non-Linear Optimization Integer Mixed Linear Programming Graph / network optimization Routing, Scheduling, Supply Chain,Combinatorial optimization studies optimization on finite and discrete domains.Find the minimum s* of f on a finite set S.f ( s ) Min f ( s)sS- 5-Characteristics of C.O. problems ?A solution is a combination of values given to different variables. The variables are discrete. The number of p

Review from student

Studypool Student
" Excellent job "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1831 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors