Production Planning Models (Approaches) from the Perspective of Mathematical Sciences

Abstract

Introduction: This study aims to provide a mathematical description of the production planning model (method). There will occasionally be restrictions on the raw material availability for production activities due to this element of uncertainty.

Objectives: The researcher will outline and analyze the various perspectives, arguments, and opinions that exist in the literature, and look for relationships between them

Methods: This research was compiled using qualitative research methods and descriptive and analytical journal literature review approaches. Most of the data used are secondary data.

Result: Deterministic and stochastic mathematical models are the two broad categories into which production planning mathematical models fall. In deterministic models, the data is assumed to be confident at this point. In the meantime, the stochastic model uses data that reflects the "best prediction" of unknown values. These deterministic methods finally address average or worst-case value issues even though many human judgment and quantitative models have been developed to anticipate variables with this uncertainty. Even though they have been studied extensively in the literature, deterministic production planning models are generally not helpful when uncertainty is considered. There are two types of manufacturing-related uncertainties: system uncertainty and manufacturing environment uncertainty. The second category consists of supply and demand uncertainties and other uncertainties outside the purview of production process management.

Conclusion: Even though they have been studied extensively in the literature, deterministic production planning models are generally not helpful when uncertainty is considered. There are two types of manufacturing-related uncertainties: system uncertainty and manufacturing environment uncertainty. Uncertainties like supply and demand issues outside the purview of industrial process management are included in the second category.