Summary
Samenvatting M&S4
- Course
- Institution
Short but powerful summaries about everything you need to know before the M&S4 exam!
[Show more]
Seller
Follow
AnneLucas1207
Content preview
M&S4Workshop 1
Linear programming (LP) problem
- Maximizing or minimizing a linear goal function subject to linear
constraints
- How to allocate limited resources among competing activates in a best
possible way
Elements of a LP problem
- Decision variables x1/x2 (what units to change to reach objective?)
- Objective function maximize profit (goals of problem)
- Constraints restrictions
Steps
1. Determine the variables
2. Formulate the objective
3. Write the constraints
4. Solve the LP problem
Terminology solutions
- Feasible solution
All constraints are satisfied
- Optimal solution
Feasible solution with most favorable value of the objective (always
a corner point)
- Corner-point feasible solution (CPF)
Solution at the corner of the feasible region
Workshop 2
IP = integer programming
- Geheel getal
- Can never be better than LP, so worse solution
- Integer constraint can be added in the constraints window whilst solving
the problem
Binary variables
- Just two possibilities within integer programming
- Yes or no, 1 or 2
Transportation problem
Objective is always min or max Z, constraints are always from demand, supply (if
applicable) and nonnegativity
, Week 2
Workshop 1
Simplex method: algebraic method to compute the optimum
- Always tried to find a maximum
- Min Z = Max(-Z) min (costs) = max (-costs)
- Equality (=) constraints are needed instead of inequalities
- Add slack variables, by converting < to =
-
Requirements:
- Maximization
- Equalities
- Non-negative otherwise multiply it by -1
- Simplex tableau
o Coefficients of variables
o Solutions on the right-hand sides of the equations
o Basic variable appearing on each equation
Augmented solution: solution for the original variables that has been
augmented by the corresponding values of the slack variables (blue variables)
RHS (right-hand side) is
equal to the maximum
amount of resources
available
Slack variables have
value 1 in ‘their’ row =
source to convert
inequality
Basic and nonbasic variables
- Non basic variables = value equals 0 and multiple values in the row are
not equal to 0
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller AnneLucas1207. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $5.88. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
53068 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now