• Can Algorithms Help in Evaluating Soldiers and Officers? — Przegląd Sił Zbrojnych 2025-3

The article addresses the problem of objectively evaluating the performance of soldiers and border guard units, where traditional assessment methods may be subjective and inconsistent. The author shows that this issue belongs to the field of operations research, specifically Data Envelopment Analysis (DEA-CCR), used for comparative efficiency evaluation. In the technical part, a mathematical model is presented in which units are analyzed based on multiple inputs (e.g. personnel, equipment, operational costs) and outputs (e.g. number of operations, readiness, effectiveness). The method uses linear programming and systems of inequalities to calculate efficiency scores and identify benchmark units. As shown in the analysis (pages 1–3), DEA-CCR enables the comparison of complex, multi-dimensional data and supports the identification of inefficiencies . As a result, the study allows distinguishing the most efficient units and provides guidance on how less efficient ones can improve their performance. The article demonstrates that DEA and linear programming as methods of operations research support objective evaluation and better decision-making in complex organizational systems.

Evaluation of Bakery Efficiency Using the CCR-DEA Model — Przegląd piekarski i cukierniczy 2021-3

The article addresses the problem of evaluating the efficiency of bakeries in order to compare their performance and identify the most effective units. The author shows that this issue belongs to the field of operations research, specifically Data Envelopment Analysis (DEA-CCR), used for benchmarking similar organizations.

In the technical part, a mathematical model is presented in which bakeries are compared based on multiple inputs (e.g. infrastructure, machines, labor, costs) and outputs (e.g. production volume, profit). The method uses linear programming and systems of inequalities to calculate efficiency scores. As shown in the tables and formulas (page 1–2), each bakery is evaluated through a set of constraints and optimization equations .

As a result, efficiency scores were obtained (e.g. Łopata and Lipinki = 1 as benchmark units, Bobry = 0.705), allowing identification of the best-performing bakeries and those requiring improvement. The article demonstrates that DEA and linear programming as methods of operations research enable objective efficiency assessment and support managerial decision-making.

Publication link: https://sigma-not.pl/zeszyt-6662-przeglad-piekarski-i-cukierniczy-2021-3.html

How to Optimize a Bakery? — Przegląd piekarski i cukierniczy 2021-4

The article addresses the problem of optimizing the overall functioning of a bakery, including logistics, production, and distribution, in order to minimize costs and maximize efficiency. The author shows that this issue belongs to the field of operations research, specifically linear programming and optimization methods.

In the technical part, a mathematical approach is introduced, where complex decision problems are translated into models with objective functions (e.g. minimizing transport costs) and constraints related to resources, production capacity, and demand. The article refers to the foundations of linear programming developed by George Dantzig and explains how such models can handle many variables and scenarios simultaneously .

As a result, it is shown that using optimization models allows better organization of bakery processes and more efficient decision-making compared to intuitive approaches. The article demonstrates that operations research and linear programming provide practical tools for improving business performance.

Publication link: https://sigma-not.pl/zeszyt-6683-przeglad-piekarski-i-cukierniczy-2021-4.html

Optimization of the Fertilization Process of Cereal Crops Using Linear Programming Methods — Przegląd zbożowo-młynarski 2023-4

The Overproduction Problem – Mathematical Optimization of Production Levels in a Confectionery Plant — Przegląd piekarski i cukierniczy 2021-6

The article addresses the problem of overproduction in a confectionery business and aims to determine the optimal production level to maximize profit while minimizing waste. The author shows that this issue belongs to the field of operations research, combining probability methods and optimization techniques.

In the technical part, a mathematical model is presented based on historical sales data. The analysis uses probability distributions of demand, expected value calculations, and profit functions that combine revenue and losses from unsold products. The model applies decision theory and statistical calculations to evaluate different production scenarios and select the optimal one .

As a result, the optimal production level was determined (e.g. 57 units), which maximizes expected profit under uncertainty. The article demonstrates that quantitative methods in operations research, including probability-based optimization, support better production planning and reduce the risk of losses.

Publication link: https://sigma-not.pl/zeszyt-6702-przeglad-piekarski-i-cukierniczy-2021-6.html

Optimization of the Number of Service Channels on the Example of Selecting the Number of Roller Mills in the Flour Production Process — Przegląd zbożowo-młynarski 2021-3

The article addresses the problem of evaluating the efficiency of bakeries in order to compare their performance and identify the best-performing units. The author shows that this issue belongs to the field of operations research, specifically Data Envelopment Analysis (DEA-CCR), which is used for benchmarking and efficiency measurement.

In the technical part, a mathematical model is presented that compares bakeries based on multiple inputs (e.g. costs, employment, infrastructure) and outputs (e.g. production volume, profit). The method uses linear programming models and systems of inequalities to calculate efficiency scores and determine relative performance among units. The analysis is supported by numerical data and computational tools .

As a result, the most efficient bakeries were identified, forming a benchmark group, while less efficient ones were shown to require improvement. The article demonstrates that DEA and linear programming as methods of operations research enable objective performance evaluation and support strategic decision-making.

Publication link: https://sigma-not.pl/zeszyt-6662-przeglad-piekarski-i-cukierniczy-2021-3.html