• The Application of Linear Regression in Forecasting Retail Demand — Przegląd piekarski i cukierniczy 2021-12

  The article addresses the problem of predicting retail demand for bakery products in order to improve production planning and reduce losses. The author shows that this issue belongs to the field of operations research and data analysis, specifically using linear regression models for forecasting. In the technical part, a mathematical regression model is presented, where demand depends on variables such as time (hour, day of the week) and weather conditions (e.g. rainfall). The model is built using historical sales data combined with external data, and implemented in tools like spreadsheets. It uses statistical methods and regression equations to estimate future demand based on observed relationships . As a result, the bakery was able to predict demand with accuracy of about 65–82%, allowing better adjustment of production and reduction of waste. The article demonstrates that quantitative methods, including linear regression in operations research, support more effective decision-making and planning in real business environments. Publication link: https://sigma-not.pl/zeszyt-6785-przeglad-piekarski-i-cukierniczy-2021-12.html

• The Transportation Problem – Optimization of Flour Deliveries to Bakeries According to an Operations Research Algorithm — Przegląd zbożowo-młynarski 2021-4

The article addresses the problem of optimizing flour transportation from mills to bakeries in order to minimize total transport costs. The author shows that this issue belongs to the field of operations research, specifically the transportation problem, which is a type of linear programming model. In the technical part, a mathematical model is presented including decision variables describing transported quantities, constraints related to supply limits of mills and demand requirements of bakeries, and a cost function minimizing total transport effort (expressed in km·ton). The model uses systems of linear equations and inequalities and is solved using optimization algorithms implemented computationally (e.g. Python PuLP), supported by distance matrices and tabular data . As a result, an optimal transport plan was determined that satisfies all constraints while minimizing total cost. The article demonstrates that linear programming methods in operations research, such as the transportation algorithm, enable efficient logistics planning and rational decision-making in supply chains. https://sigma-not.pl/zeszyt-6653-przeglad-zbozowo-mlynarski-2021-4.html

• Optimal Order Quantities Determined by the Economic Order Quantity Method — Przegląd piekarski i cukierniczy 2020-12

The article addresses the problem of determining the optimal order quantity in a bakery in order to minimize total costs related to inventory management. The author shows that this issue belongs to the field of operations research, specifically the Economic Order Quantity (EOQ) model, which is a classical optimization method. In the technical part, a mathematical model is presented that includes different types of costs: ordering costs, holding costs, and capital-related costs. The model uses a formula for EOQ, which allows calculating the optimal order size based on these parameters. The analysis also involves cost functions and calculations of total annual inventory cost, supported by a graphical interpretation of cost behavior depending on order size . As a result, the optimal order quantity was determined (Q = 102 units), which minimizes total costs. The article demonstrates that mathematical optimization methods in operations research, such as EOQ, enable more efficient inventory management and support rational economic decision-making in production enterprises

• An Example of the Application of Linear Programming in Determining the Optimal Product Mix in a Bakery — Przegląd piekarski i cukierniczy 2020-11

  The article addresses the problem of determining the optimal production plan in a bakery in order to achieve maximum profit with limited resources. The author shows that this is an issue from the field of operations research, more specifically linear programming. In the technical part, a mathematical model is presented: decision variables, an objective function maximizing profit, and linear constraints related to the availability of raw materials. The problem was solved using the simplex method and computational tools. The result was the determination of the most profitable production structure. The article shows that linear programming, as a method of operations research, helps support rational production and economic decision-making. Publication link: Rocznik 2020 – zeszyt 11, Przegląd Piekarski i Cukierniczy (includes the article “Przykład zastosowania programowania liniowego przy określaniu optymalnej struktury asortymentu w piekarni” by Wojciech Moszczyński).