What is the general form of LPP?

What is the general form of LPP?

Canonical form of standard LPP is a set of equations consisting of the ‘objective function’ and all the ‘equality constraints’ (standard form of LPP) expressed in canonical form.

What are the assumptions and limitations of linear programming?

Assumptions and Limitations in Linear Programming

  • There are a number of restrictions or constraints expressible in quantitative terms.
  • The parameters are subject to variations in magnitude.
  • The relationships expressed by constraints and the objective functions are linear.
  • The objective function is to be optimized w.r.t. the variables involved in the phenomenon.

What is the least cost method?

Definition: The Least Cost Method is another method used to obtain the initial feasible solution for the transportation problem. The lower cost cells are chosen over the higher-cost cell with the objective to have the least cost of transportation.

What are the methods of transportation problem?

We present the three methods and an illustrative example is solved by these three methods.

  • North- West Corner Method.
  • Minimum-Cost Method.
  • Vogel’s Approximation Method (VAM)
  • North West-Corner method.

What is the purpose of linear programming?

Linear programming, mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints. This technique has been useful for guiding quantitative decisions in business planning, in industrial engineering, and—to a lesser extent—in the social and physical sciences.

What is a linear optimization model?

Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

What do you mean by balanced transportation problem?

Balanced Transportation Problem is a transportation problem where the total availability at the origins is equal to the total requirements at the destinations.

How do you solve an unbalanced transportation problem?

UNBALANCED TRANSPORTATION PROBLEM : A transportation problem is said to be unbalanced if the supply and demand are not equal. Two situations are possible:- 1. If Supply < demand, a dummy supply variable is introduced in the equation to make it equal to demand.

Which of the following is a linear equation?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.

What are the two properties of linear programming problems?

All linear programming problems must have following five characteristics:

  • (a) Objective function:
  • (b) Constraints:
  • (c) Non-negativity:
  • (d) Linearity:
  • (e) Finiteness:

What are the two types of constraints?

There are two different types of constraints: holonomic and non-holonomic.

What do you mean by feasible solution in LPP?

Definition: A feasible solution to a linear program is a solution that satisfies all constraints. Definition: The feasible region in a linear program is the set of all possible feasible solutions.

What are the problems of linear programming?

Thus, a Linear Programming Problem is one that is concerned with finding the optimal value (maximum or minimum value) of a linear function (called objective function) of several variables (say x and y), subject to the conditions that the variables are non-negative and satisfy a set of linear inequalities (called linear …

Which of the following is not a major requirement of a linear programming problem?

Which Of The Following Is Not A Major Requirement Of A Linear Programming Problem? There Must Be Alternative Course Of Action Among Which To Decide An Objective For The Firm Must Exist The Problem Must Be Of Maximization Type Resources Must Be Limited.