Operational Research 1.10

This app serves as a solver or calculator for operational research problems in fields like Assignment Problem, Transportation Problem, Linear Programming, Sequencing Problem, and Game Theory.

Introduction:

Welcome to the Operational Research app. It functions as a Solver and Calculator, tailored to address the following problem types: (1) Assignment Problem, (2) Transportation Problem, (3) Linear Programming, (4) Sequencing Problem, and (5) Game Theory. This app efficiently resolves a wide range of these issues while providing a detailed step-by-step solution.

Features:

• Simple and intuitive user interface
• Elegant design
• Calculates multiple answers for minimization and maximization scenarios in both balanced and unbalanced conditions
• Displays all solution steps with marked and assigned steps in Assignment problems
• Shows all initial solution and optimization steps with marking and looping in Transportation problems
• Utilizes various methods such as Least Cost, North-West Corner, Vogel, Row-Minima, and Column Minima for initial solutions in Transportation problems
• Displays all iterations in Linear Programming Simplex Method
• Solves issues related to infeasibility, unboundness, minimization, and maximization in Linear Programming
• Provides step-by-step time and idleness calculations in Sequencing problems
• Resolves problems arithmetically in the realm of Game Theory
• Calculates all solutions for cases involving multiple solutions
• Saves the history of solved problems for future reference
• Supports matrices with a variable number of rows and columns from 1 to 10

Operational Research:

Operations research is an analytical method used for problem-solving and decision-making processes within organizational management. It involves breaking down problems into fundamental components and addressing them systematically through mathematical analyses.

Assignment Problem:

The assignment problem is a foundational combinatorial optimization issue within the domain of operations research. It entails finding the maximum weight matching (or minimum weight perfect matching) in a weighted bipartite graph, where agents must be assigned to tasks under cost constraints.

Transportation Problem:

The transportation problem represents a unique type of linear programming challenge aimed at minimizing distribution costs from multiple sources to various destinations.

Linear Programming:

Linear programming is a mathematical optimization method that seeks to achieve the best outcomes based on linear relationships within the given model's constraints.

Sequencing Problem:

The sequencing problem involves optimizing the order in which jobs are assigned to service facilities to enhance outputs in terms of time, cost, or profit.

Game Theory:

Game theory explores strategic analyses in competitive scenarios where participants' actions influence outcomes significantly. This concept is widely applied in diverse fields such as warfare, business, and biology.

Support:

If you find this app helpful, please consider rating it on the Play Store and sharing it with your peers in the Mechanical Engineering community.

Developer Information:

• Ketan Chauhan
• Mechanical Engineer
• Swastik Apps from Surat, Gujarat, India
• Email: swastikappssolution@gmail.com