-basedmethods of solvingLPproblemsdiffer? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach? Lecture/discussion on Sensitivity analysis Activity – Discussion on sensitivity analysis o How does sensitivity analysis affect the decision making...
Using Ms-Excel | 15 |
Week 3: Linear Programming, Linear Programming Models: Graphical and ComputerMethods | 16 |
Week 4: Linear Programming Modeling Applications with Computer Analysis in Excel | 17 |
Week 5: Linear Programming and Sensitivity Analysis | 18 |
Week 6...
Problems
Discussion Questions
M7-1 Explain the purpose and procedures of the simplex method. M7-2 How do the graphical and simplex methods of solvingLPproblemsdiffer? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach? M7-3 What are slack...
DISCUSSION QUESTIONS AND PROBLEMS
M7-45
Discussion Questions and Problems
Discussion Questions
M7-1 Explain the purpose and procedures of the simplex
method.
M7-2 How do the graphical and simplex methods of solvingLPproblemsdiffer? In what ways are they the
same? Under what...
varnishing constraint)
T, C ≥ 0 (nonnegativity constraint)
Graphical Solution to an LPProblem
* The easiest way to solve a small LPproblems is with the graphical solution approach.
* The graphicalmethod only works when there are just two decision variables.
* When there are more than two...
solving an IP problem is no more difficult than solving its LP relaxation once by the simplex method, namely, when the optimal solution to the latter problem turns out to satisfy the integer restriction of the IP problem. When this situation occurs, this solution must be optimal for the IP problem as...
simplex method employed in solvingLPproblem is discussed as under:
The simplex method
The graphicalmethod, as discussed in the previous lectures, is capable of solvingproblems having a maximum of two variables. Hence, this method is used which can solve LPproblems with any no. of variable or...
especially useful when trying to make the most effective use of an organization’s resources. All LPproblems can
also be solved with the simplex method, either by computer or by hand. This method is more complex mathematically than graphicalLP, but it also produces such valuable economic information as...
the
algorithm without being “bogged” down in the computational details.
3. All the details needed to use an algorithm are given directly on the screen, thus precluding the
need for a user’s manual.
SOLVING LINEAR PROGRAMMING GRAPHICALLY USING COMPUTER
The above problem is...
, return to step 1. This tutorial treats a special kind of model, linear programming. LP has proven to be especially useful when trying to make the most effective use of an organization’s resources. All LPproblems can also be solved with the simplex method, either by computer or by hand. This method is...
of past months or years. Based on the input data only, the LP model solves the problem and it exercises no judgment. A small change in one piece of data may result in a completely different solution, and will ignore all uncertainties and risks to achieve just a minor increase in profits. This...
approach to decision making based on the scientific method of problemsolving. A synonymous term is operations research or decision science. Some of the primary applications areas of management science are forecasting, production scheduling, inventory control, capital budgeting, advertising, marketing...
. Solve simple linear programming problems using the graphicalmethod. Interpret computer solutions of linear programming problems. Do sensitivity analysis on the solution of a linear programming problem.
6S-1
6S-2
SUPPLEMENT TO CHAPTER SIX LINEAR PROGRAMMING
INTRODUCTION
Linear...
into improving the simplex algorithm. Most computer packages for mathematical programming now include both a simplex algorithm and an interior point algorithm for solving linear programs. It is worth emphasising here that even if a particular decision problem involves formulating a LP with many tens...
particular problem.
4) Computerbased approach
Involve extensive use of computers but bear in mind that GIGO.
Operations Research Methods (OR)
Linear Programming
LP is a deterministic mathematical procedure for allocating scarce resources while ensuring some...
problems.
5. Get a copy of homework #3 handout
Sep 30 SESSION 7: SOLUTION TECHNIQUES: GRAPHICALMETHOD AND
ENUMERATING THE CORNER POINTS
1. Read pages 712-720 in Quantitative Module B (H&R).
2. Solve problems B.2 and B.3 on page 726 using (a) Graphical and (b) Enumerating the...
Heading: Integer Programming Problems
Key words: integer programming models
72) The branch and bound method of solving linear integer programming problems is __________.
A) an integer method
B) a relaxation method
C) a graphical solution
D) an enumeration method
Answer: D
Diff: 2 Page Ref...
resorted to a sort of trial and error method. However, when the objective and constraints are all linear functions of the decision variables we can use Excel’s output to answer some of these problems in a much more rigorous way. Let us consider a couple of examples based on the Chicken-feed problem...
SOLVING INTEGER PROGRAMS We have gone through a number of examples of integer programs at the “Formulating IP Problems” section. A natural question is ``How can we get solutions to these models?''. There are two common approaches. Historically, the first method developed was based on cutting planes...