what is difference between regular simplex method and dual simplex method
Simplex method used for maximization, where dual simplex used for minimization.
The first approximation to is always integral and therefore always a feasible solution. Rather than determining a first approximation by a direct application of the simplex method it is more efficient to work with the table given below called the transportation table. The transportation algorithm is the simplex method specialized to the format of table it involves: i) finding an integral basic feasible solution ii) testing the solution for optimality iii) improving the solution, when it is not optimal iv) repeating steps (ii) and (iii) until the optimal solution is obtained.
Semplex
Simplex Method and Interior Point Methods
half-duplex communication of a data transmission method
LPP deals with solving problems which are linear . ex: simlpex method, big m method, revised simplex, dual simplex. NLPP deals with non linear equations ex: newton's method, powells method, steepest decent method
graphical method is applicable only for solving an LPP having two variables in its constraints , but if more than two variables are used, then it is not possible to use graphical method. In those cases, simplex method helps to solve such problem. In simple, in graphical method is used when the constraints contain two variables only. But simplex method can be used to solve constraints having more than two variables.
The auction method, depending on the type of method used, satisfies Pareto optimality for the following reason: it is always best in an auction to bid your own valuation for a good. In game theory terms, this means that bidding your monetary valution of the good is always a weakly-dominanted strategy. This implies that the winner of the bid will, ignoring monetary constraints, will always be the person with the highest valuation of the good (since they bid the highest). Pareto optimality occurs when no one can be made better off without making someone worse off. When the item belongs to the person/group who values it most, social welfare is optimised (this is also called the Hobbes Theorem). Thus, the auction method, with basic rules, satisfies Pareto optimality by assigning the good to the person who values it most.
When you have 3 variables or more. In paper, we can only draw 2 dimensional shapes.
There usually is: particularly in examples that at set school or college level.
Bruce Tesar has written: 'Learnability in optimality theory' -- subject(s): Language acquisition, Learning ability, Optimality theory (Linguistics)