the phenomenon of obtaining a degenerate basic feasible solution in a linear programming problem known as degeneracy.
what do we call the process of subdividing a problem into smaller sub-program.c programing
There is no difference between procedural programing language & structure programing language.
c, c++, java, prolog, fortran, basic, ...
a faux code in programing is the action you want to complete only written in our language not the computers language, also a lot of people write a faux code before you write the programing it helps you understand what your system is going to do
A piecewise linear (PWL) model can be used to simplify a problem, by replacing a complex model with on that is made up of simpler (linear) pieces. For example, the IV curve for a diode is Id = Is( exp(Vd/n*Vt) - 1). Quite messy. We can instead represent the curve by two pieces. One where the current is zero from 0V, to arround 0.5-0.7V. From here, we approximate the exponential curve with a linear relationship. This linear region is typically fixed on a point on the exponential curve known as the operating point, Q. See link.
Degeneracy in a transport problem arises when the number of occupied cells is less then: (number of columns + number of rows)-1
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?
To overcome degeneracy in a transportation problem, one common approach is to introduce a small positive epsilon value to the supply or demand values, ensuring that all basic variables are positive. Alternatively, the Modified Distribution Method (MODI) can be used to identify and adjust the solution, allowing for a feasible solution without degeneracy. Ensuring that there are enough routes or allocations can also help in resolving any issues that arise from degeneracy.
Linear programming is a technique for determining the optimum combination of resources to obtain a desired goal. It is based upon the assumption that there is a linear ,or straight line, relationship between variables and that the limits of the variations can be easily determined.
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?
Degeneracy in transportation problems occurs when there are redundant allocations or when there is more than one optimal solution with the same cost. It can make solving the problem more complex and may require additional computational effort to resolve.
you learn linear programming before you learn the transportation problem.
Infeasibility occurs in a linear programming problem when there is no solution that satisfies all the constraints simultaneously.
yes
there is no linear equations that has no solution every problem has a solution
when you compute any problem in the math you follow some particular rule or instruction to improve and correct computation , similarly in programing we also do same , our programing skill is modified e.g. we use the shortest path problem in math. if we want to develop the same program then we have to knowlege about how to solve this.....
Because its linear and the equation is a problem to solve