Chapter 6 Flashcards
3 types of network diagrams
Transportation, Transhipment and Assignment
Transportation
Ship from supplier to Demand
Transhipment
ship from supply to warehouse then demand
Assignment
assign roles of people to jobs, tasks etc
Balanced transportation formulation of supply and demand
= supply amount
= demand amount
unbalanced transportation formulation of supply and demand (S>D)
<= supply amount
= demand
unbalanced transportation formulation of supply and demand (D>S)
= supply amount
<= demand
Transhipment differentiation vs transportation formulation
supply constraint
warehouse constraint (flow in vs out)
demand constraint
assignment 3 key differences
- how do we formulate
- what is Xij
- supply and demand constraints = ?
- make up fake supply and demand
Xij is 1 if object is assigned to a role
Xij is 0 if object i not assigned to a role - supply and demand constraints equal 1
Prohibited Routes 3 ways to handle situation
- Create a very high cost for that transportation etc 10,000
- add constraint to formulation that sets variable you want to remove equal to zero
- drop arc from network and remove corresponding variable from linear formulation
what is question is maximizing profit? What is affect to constraints and Z?
Z is now objective to maximize and nothing happens to the constraints