Sustainability can be induced by mathematical modelling
DIMENSIONS AND DIRECTIONS-SUSTAINABILITY
One can admire mathematical modelling like
Linear Programming Models
Transportation Models
Assignment Models
Game Theory Models
Constrained Optimization Models
Process Optimization Models
Multi Criteria Decision Making Models
Group Decision Making Models
Line balancing Models
Scheduling Models
Queuing theory Models
Other Operation Research Models and so on
With the usage of multiple techniques and tools like Excel, Digital twins structures, software solutions like Auto-CAD, CATIA and so on that can help in analyzing solution with reduced wastages, optimization and synchronization with the usage of techniques like
TOPSIS (The Technique for Order Preference by Similarity to Ideal Solution) Technique
MOORA (The Multi-Objective Optimization on the basis of Ratio Analysis) Technique
Genetic Algorithm Technique
Particle Swarm optimization Technique
GRA (Grey Relational Analysis) Technique
AHP (Analytic Hierarchy Process) Technique
ANP (Analytic Network Process) Technique
DEMATEL (Decision Making Trial and Evaluation Laboratory) Technique,
PROMETHEE (Preference Ranking Organization Method for Enrichment Evaluation) technique,
ELECTRE (The Elimination and Choice Translating Reality) Technique and so on
Mathematical modelling can help in providing the graphical representation of data in the form of numbers, which can help to ease analyze data, assess probabilities, generate performance score, understand profit margins and can allow to consider multiple variables. For example- if a company manufactures two products with certain profits margins say Rs. 5 for product A and Rs. 3 for product B, but here multiple constraints as per the availability of resources like machine hours, raw material availability as per products, labour number and so on. It will be sustainable to use mathematical modelling based on the definition of variables, objective functions and constraints Equations. Here, the solution of mathematical modelling will help in understanding a more favourable solution, which can deliver extent of sustainable in decision making. Additionally, the mathematical modelling can help manufacturer in planning fixed amounts of different resources such as raw material, labour, and equipment. These resources can be combined to produce any one of several different products. The quantity of the resource required to produce one unit of the product can be determined by mathematical modelling and can endure sustainability.
Mathematical modelling can be used to produce products either in regular time subjected to the availability of internal resources at maximum each month, or in overtime. The cost of producing an item during overtime during regular time can be determine with mathematical modelling, which in turn can assist in planning certain strategies related to internal resources like storage cost, handling cost, labor cost, logistics cost, energy cost, deprecation and so on.
The same can induce sustainability in a number of ways in a system and organizations. Mathematical modelling can be considered as a powerful tool for inducing sustainability as the mathematical modelling solutions gives answers in numbers and quantities, which assist in analysing the more crux form for decision making. Like after building a mathematical model can understand that the regular demands of the products is expected to lie between 10-11 lakhs. Thus, mathematical modelling can lead in attaining quantitative solution, which provides a wonderful solution in the boundaries of decision making. It allows learners to analyze real-world problems related with forecasting of demands, estimation of resource to be use, impact of activities on environment, manpower management and requirements and so on. By integrating mathematical modelling one can remove sustainability issues, learners can expand their skills to measure, predict, and make informed decisions on matters like energy consumption, carbon footprints, and waste reduction with the help of mathematical modelling, which can help in reaching refined decision and thus can be in the form of sustainable solution or sustainability. Mathematical modelling is an approach that can encourage learners to connect mathematical means and algebraic sums with practical, everyday applications. The same can help in fostering critical thinking, as learner can learn to ponder confidently in refined options to selection, dignified choices to evaluate and to assess potential outcomes. Through, mathematical modelling one can apply sustainability in system characteristics and can helps practitioners to understand the impact of their choices, promoting sustainable habits in their personal and professional lives.