This document outlines a project to design and implement a tool for solving business optimization problems using operations research techniques. It lists the team members and provides an abstract, introduction, objectives, methodology, outcomes, literature review, and project plan. The tool will generate optimal solutions for problems involving resource allocation, production planning, transportation, and routing using linear programming, transportation models, assignment problems, and game theory.

1. Team Members
Rajath Balse 4CB12CS070
Ranjith k 4CB12CS076
Rithika S 4CB12CS078
Shreesha V Shetty 4CB12CS091

2. Bird’s View
Abstract
Introduction
Objective
Methodology
Outcome
Literature survey and Review
Project Plan
Conclusion

3. Abstract
Operations research problems require capability of finding models that
are optimal solution with some objective functions.
The basic tools of Operations research are transportation
models,game theory, linear and nonlinear programming,
and other mathematical techniques.
Our tool generates solutions for discrete optimization problems.
Tool is used to optimize real time examples
Peer-to-peer sharing of file
Communication network.
This tool can be used as a backend engines for
other software and hybrid systems.
Achieve the best outcome in a mathematical model

4. Operations research is an analytical method of problem-solving and
decision-making .
Design and implement a Tool for Business Optimization Problems .
Application:
 Resource allocation
 Production planning
 Transportation of a goods from factory to warehouse
 Routing packets in network
 Solves with the faster and economical way .
Introduction

5. Objective

6.  A study and review of relevant literature materials in relation to a topic mentioned below.
Literature survey
“A BIBLIOGRAPHIC SURVEY OF OPERATIONS RESEARCH IN COUNTRIES: ” by Ike Ehie
o Operations Research
o Linear Programming Problem
“AN ANALYSIS OF SET OF LINEAR PROGRAMMING TEST PROBLEMS” by Irvin.J.Lustig
o Simplex Method
“THE PHASE 1 SIMPLEX ALGORITHM ON THE OBJECTIVE HYPERPLANE” by Pei-Wang Gao
“SOLVING TRANSPORTATION PROBLEMS USING BEST CANDIDATES METHOD” by Abdallah
“A COMPARATIVE ANALYSIS OF ASSIGNMENT PROBLEM” by SHWETA SINGH
o Transportation Problem
o Assignment Problem
o Game theory
“GAME THEORY APPLICATIONS IN WIRELESS NETWORKS” by BADR BENMAMMAR

7. Literature Review
o Any human activity raises ethical questions, questions about ‘good’ and ‘right’ ways to act and to live;
or to put it differently, questions of values and responsibility.
o Operations research has engaged in terms of professional behaviour, handling of preferences in OR,the
process of OR intervention and the content of OR analysis.
o In linear programming, if objective function is of maximization, then all the constraints are less than or
equal to type. Similarly if the objective function if of minimization all the constraints are of greater than
or equal to type.
o Simplex is an iterative algorithm, a systematic solution procedure that keeps repeating a fixed series of
steps until a desired result has been obtained.
o Transportation model is a class of linear programming that deals with shipping an item from source to
destination.
o Assignment problems deals with the question how to assign n objects to m other objects in an injective
fashion in the best possible way.
o Game theory is a mathematical theory that deals with the general features of competitive situation like
these in a formal, abstract way.

8. Methodology

9.  Translate problem into graphical or mathematical model.
Game theory
Solving the OR Model
Performing analysis of the solution
Identify how solution change to the problem data.
Presenting the solution and analysis
 A crucial step in the optimization process.

10. Outcome
Formulate the problem and obtain the feasible region.
Obtain the optimum solution of linear programming problem.
Set of outcomes of the game and find which outcomes are stable.
Feasible solution out of all possible solution of an optimization problem.
Minimized cost of shipping m units to n destination
Optimal assignment of a jobs for a cost matrix.

11. Project Plan