Evaluation of the Efficiency of Bread Stores Using Comparative DEA-CCR Analysis — Przegląd piekarski i cukierniczy 2021-7

The article addresses the problem of evaluating the efficiency of bakery retail shops in order to identify the best-performing units and improve weaker ones. The author shows that this issue belongs to the field of operations research, specifically Data Envelopment Analysis (DEA-CCR), which is used for comparative efficiency analysis.

In the technical part, a mathematical model is presented that compares multiple shops based on inputs (e.g. costs, employment, number of checkouts) and outputs (e.g. sales, revenue). The method uses linear programming models to calculate efficiency scores and create rankings. Additionally, the analysis includes super-efficiency models and optimization of resource structures for inefficient units .

As a result, the most efficient shops were identified, and recommendations for restructuring less efficient ones were provided. The article demonstrates that DEA and linear programming as methods of operations research enable objective performance evaluation and support managerial decision-making.

Publication link: https://sigma-not.pl/zeszyt-6713-przeglad-piekarski-i-cukierniczy-2021-7.html

A Mathematical Interpretation of the Queueing Problem in Bread Stores — Przegląd piekarski i cukierniczy 2021-5

The article addresses the problem of analyzing and managing queues in bakery shops in order to improve customer service and reduce the risk of losing clients. The author shows that this issue belongs to the field of operations research, specifically queueing theory, which is used to model service systems.

In the technical part, a mathematical model is presented based on parameters such as arrival rate of customers and service rate at checkout points. The analysis uses probability formulas and queueing models to calculate indicators like the probability of no queue, expected number of customers, and probability of waiting longer than a given time. These calculations are supported by real data and tabular analysis .

As a result, it was possible to identify locations with the highest congestion and determine where additional checkout points are needed. The article demonstrates that mathematical models in operations research, such as queueing theory, enable better service management and support practical decision-making in retail environments.

Publication link: https://sigma-not.pl/zeszyt-6694-przeglad-piekarski-i-cukierniczy-2021-5.html

A Mathematical Interpretation of the Problem of Allocating Production Resources — Przegląd piekarski i cukierniczy 2021-8

The Choice Dilemma According to Operations Research Theory: The Case of Bakery Equipment Sales — Przegląd piekarski i cukierniczy 2021-11

Optimization of the Use of Confectionery Raw Materials by Means of Linear Programming Methods — Przegląd piekarski i cukierniczy 2021-9

The article addresses the problem of optimizing the use of confectionery raw materials in order to maximize profit while considering limited resources. The author shows that this issue belongs to the field of operations research, specifically linear programming, used to determine the best allocation of resources.

In the technical part, a mathematical model is presented with decision variables representing quantities of different products, a profit-maximizing objective function, and linear constraints related to the availability of raw materials (e.g. gelatin and additives). The model is based on systems of linear inequalities and equations and can be solved using optimization algorithms such as the simplex method .

As a result, the optimal production plan was determined, indicating which products should be produced and in what quantities to achieve the maximum profit. The article demonstrates that linear programming as a method of operations research enables effective resource management and supports rational decision-making in production.

Publication link: https://sigma-not.pl/zeszyt-6735-przeglad-piekarski-i-cukierniczy-2021-9.html

• The Process of Minimizing Flour Purchase Costs Using an Operations Research Algorithm — Przegląd piekarski i cukierniczy 2021-10

The article addresses the problem of minimizing flour purchasing costs in a bakery while maintaining required production levels. The author shows that this issue belongs to the field of operations research, specifically linear programming, used to optimize resource allocation under constraints. In the technical part, a mathematical model is presented with decision variables representing amounts of different types of flour, a cost-minimizing objective function, and a set of linear constraints related to production requirements (bread, rolls, pastries) and processing time. The model is solved using the simplex method, based on systems of linear inequalities and supported by computational tools . As a result, the optimal solution indicated using only one type of flour (R3) in a specific quantity, achieving the lowest possible daily cost (29,744 PLN) while satisfying all constraints. The article demonstrates that linear programming as a method of operations research enables effective cost optimization and rational decision-making in production processes. Publication link: https://sigma-not.pl/zeszyt-6746-przeglad-piekarski-i-cukierniczy-2021-10.html

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