Optimization in Operations ResearchProblem solving with mathematical models - Deterministic optimization models in operations research - Improving search - Linear programming models - Simplex search for linear programming - Interior point methods for linear programming - Duality and sensitivity in linear programming - Multiobjetive optimization and goal programming - Shortest paths and discrete dynamic programming - Network flows - Discrete optimization models - Discrete optimization methods - Unconstrained nonlinear programming - Constrained nonlinear programming. |
From inside the book
Results 1-3 of 17
Page 420
... Negative Dicycles Exception It seems safe to conclude from examples like Figure 9.5 that optimal paths must always ... dicycle . 9.8❘ A dicycle is a path that begins and ends at the same node , and a negative dicycle is a dicycle of ...
... Negative Dicycles Exception It seems safe to conclude from examples like Figure 9.5 that optimal paths must always ... dicycle . 9.8❘ A dicycle is a path that begins and ends at the same node , and a negative dicycle is a dicycle of ...
Page 432
... Negative Dicycles with Bellman - Ford We know that shortest path models with ... dicycle example of Figure 9.6 : 1 v [ 1 ] _v © [ 2 ] v [ 3 ] v @ [ 4 ] d [ 1 ] ... negative dicycle drives v lower and lower because t v [ 2 ] [ 3 ] [ 4 ] ...
... Negative Dicycles with Bellman - Ford We know that shortest path models with ... dicycle example of Figure 9.6 : 1 v [ 1 ] _v © [ 2 ] v [ 3 ] v @ [ 4 ] d [ 1 ] ... negative dicycle drives v lower and lower because t v [ 2 ] [ 3 ] [ 4 ] ...
Page 439
... Negative Dicycles with Floyd - Warshall = Just as with the Bellman - Ford algorithm for a single source , Floyd ... dicycle exists . The actual condition flagging presence of a negative dicycle in the Floyd - Warshall procedure is v ...
... Negative Dicycles with Floyd - Warshall = Just as with the Bellman - Ford algorithm for a single source , Floyd ... dicycle exists . The actual condition flagging presence of a negative dicycle in the Floyd - Warshall procedure is v ...
Contents
CHAPTER | 1 |
IN OPERATIONS RESEARCH | 23 |
IMPROVING SEARCH | 77 |
Copyright | |
17 other sections not shown
Other editions - View all
Optimization in Operations Research: Pearson New International Edition Ronald L. Rardin No preview available - 2013 |
Common terms and phrases
active Algorithm Analysis arcs assignment basic solution basic variables branch and bound CFPL choose class optimization software coefficient components compute convex corresponding cycle direction d₁ decision variables demand digraph direction Ax discrete example feasible direction feasible set feasible solution Figure Formulate global goal program gradient graph improving feasible improving search incumbent solution inequality infeasible integer integer linear program iteration Lagrange multipliers linear program local optimum LP relaxation main constraints matrix max s.t. maximize maximum minimize move direction multiobjective negative dicycle network flow node nonbasic nonlinear program nonnegative objective function objective function value objective value optimal path optimal solution optimal value optimization model partial solution posynomial primal principle problem produce quadratic SAMPLE EXERCISE schedule Section sequence shortest path shortest path problems shows simplex algorithm simplex direction slack solve standard form Step Table unconstrained v₁ vector w₁ x₁ y₁