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EN
This paper presents an integrated evaluation approach for decision support enabling effective supplier selection and ordering processes in textile industry. The integrated evaluation method in this study includes two phases that consist of fuzzy AHP and goal programming approaches. Supplier evaluation and selection is a multi-criterion decision problem which includes both qualitative and quantitative factors. That’s why; firstly, linguistic variables expressed in trapezoidal fuzzy numbers are applied to assess weights and ratings of supplier selection criteria. Then a hierarchy multiple model based on fuzzy set theory is expressed and the geometric mean method of Buckley is used to aggregate pair wise comparisons. Finally, a goal programming model is built using the goals about coefficients of suppliers, total ordering cost, number of wrong deliveries, total delivery cost under the constraints of required minimum and maximum number of orderings and acceptable quality cost levels of each supplier and demand constraint of the product.
2
Content available Fuzzy goal programming - one notion, many meanings
100%
EN
A survey of fuzzy goal programming approach is presented, including three new approaches. Various approaches are classified according to the role that fuzzy numbers play in them. For each approach the corresponding model and the solution procedure are discussed.
PL
Zaprezentowano przegląd podejść w ramach rozmytego programowania celowego, obejmującego także trzy nowe podejścia. Omawiane podejścia zostały sklasyfikowane według roli, jaką pełnią w nich liczby rozmyte. Przedyskutowano dla każdego podejścia odpowiadający mu model decyzyjny i procedurę otrzymywania rozwiązania.
EN
Countries’ defence industries are the leading indicator of their global power. The warehouse is the place where the materials are kept until the customer order arrives so that the companies are viable and can respond appropriately to internal/external customer demands. In this regard, warehouse location plays a vital role in the defence industry in terms of storage options with increased flexibility, a simplified supply chain with cost management and optimal positioning according to deployment locations. In this study, the decision on the location of warehouses for logistic support during the warranty period of military vehicles manufactured and supplied to the armed forces by a defence company was made. It is aimed to propose the best solution to a real-life problem with high complexity, containing many data and constraints. In this context, the criteria that are thought to be most relevant to this problem have been determined by taking expert opinions. Having determined the order of importance of the requirements by the analytical hierarchy process (AHP) with the Super Decisions V 2.10, their weights were included as a coefficient of the objective function in the goal programming (GP) model. As a result of solving the GP model using GAMS (general algebraic modelling system), it was decided to select the warehouses that provided the optimal results among the alternative warehouse locations in 9 different locations. Furthermore, to see the impact of changes in criterion weights, sensitivity analysis has also been included. The significance of this research lies within the integrated usage of AHP and GP in the defence industry when determining warehouse locations by the experts’ opinions. With this study, not only a solution strategy was developed, but also a basis for the warehouse location decision in the defence industry projects already signed or to be signed was given.
EN
Countries’ defence industries are the leading indicator of their global power. The warehouse is the place where the materials are kept until the customer order arrives so that the companies are viable and can respond appropriately to internal/external customer demands. In this regard, warehouse location plays a vital role in the defence industry in terms of storage options with increased flexibility, a simplified supply chain with cost management and optimal positioning according to deployment locations. In this study, the decision on the location of warehouses for logistic support during the warranty period of military vehicles manufactured and supplied to the armed forces by a defence company was made. It is aimed to propose the best solution to a real-life problem with high complexity, containing many data and constraints. In this context, the criteria that are thought to be most relevant to this problem have been determined by taking expert opinions. Having determined the order of importance of the requirements by the analytical hierarchy process (AHP) with the Super Decisions V 2.10, their weights were included as a coefficient of the objective function in the goal programming (GP) model. As a result of solving the GP model using GAMS (general algebraic modelling system), it was decided to select the warehouses that provided the optimal results among the alternative warehouse locations in 9 different locations. Furthermore, to see the impact of changes in criterion weights, sensitivity analysis has also been included. The significance of this research lies within the integrated usage of AHP and GP in the defence industry when determining warehouse locations by the experts’ opinions. With this study, not only a solution strategy was developed, but also a basis for the warehouse location decision in the defence industry projects already signed or to be signed was given.
EN
Background: The ranking of commercial banks is usually based on using a single criterion, the size of assets or income. A multicriteria approach allows a more complex analysis of their business efficiency. Objectives: This paper proposes the ranking of banks based on six financial criteria using a multicriteria approach implementing a goal programming model. The criteria are classified into three basic groups: profitability, credit risk and solvency. Methods/Approach: Business performance is evaluated using a score for each bank, calculated as the weighted sum of relative values of individual indicators. Results: In the process of solving the corresponding goal programming problem, the weights are calculated. It is assumed that the goal of each bank is the highest profitability. Because of the market competition among banks, the weights of indicators depend on the performance of each bank. This method is applied to the five biggest Croatian banks (ZABA, PBZ, ERSTE, RBA and HYPO). Conclusion: For the observed period (2010), the highest priority is given to profitability and then to credit risk. The ranking is achieved by using a multicriteria model.
EN
Transportation problem (TP) is a special type of linear programming problem (LPP) where the objective is to minimize the cost of distributing a product from several sources (or origins) to some destinations. This paper addresses a transportation problem in which the costs, supplies, and demands are represented as heptagonal fuzzy numbers. After converting the problem into the corresponding crisp TP using the ranking method, a goal programming (GP) approach is applied for obtaining the optimal solution. The advantage of GP for the decision-maker is easy to explain and implement in real life transportation. The stability set of the first kind corresponding to the optimal solution is determined. A numerical example is given to highlight the solution approach.
PL
Artykuł prezentuje koncepcję wielokryterialnego wspomagania podejmowania decyzji, dotyczących rozmieszczenia stanowisk roboczych. Zaproponowano metodę programowania celowego do wspomagania rozmieszczenia stanowisk roboczych oraz określono sytuacje, w których analiza wielokryterialna jest zasadna.
EN
This article presents an idea of multiple criteria decision aid at manufacturing cell layout planning. In the paper there is theproposal of application goal programming for multiple criteria manufacturing cell layout planning aid presented. The author of this work shows situations when proposed approach could be used.
EN
Countries’ defence industries are the leading indicator of their global power. The warehouse is the place where the materials are kept until the customer order arrives so that the companies are viable and can respond appropriately to internal/external customer demands. In this regard, warehouse location plays a vital role in the defence industry in terms of storage options with increased flexibility, a simplified supply chain with cost management and optimal positioning according to deployment locations. In this study, the decision on the location of warehouses for logistic support during the warranty period of military vehicles manufactured and supplied to the armed forces by a defence company was made. It is aimed to propose the best solution to a real-life problem with high complexity, containing many data and constraints. In this context, the criteria that are thought to be most relevant to this problem have been determined by taking expert opinions. Having determined the order of importance of the requirements by the analytical hierarchy process (AHP) with the Super Decisions V 2.10, their weights were included as a coefficient of the objective function in the goal programming (GP) model. As a result of solving the GP model using GAMS (general algebraic modelling system), it was decided to select the warehouses that provided the optimal results among the alternative warehouse locations in 9 different locations. Furthermore, to see the impact of changes in criterion weights, sensitivity analysis has also been included. The significance of this research lies within the integrated usage of AHP and GP in the defence industry when determining warehouse locations by the experts’ opinions. With this study, not only a solution strategy was developed, but also a basis for the warehouse location decision in the defence industry projects already signed or to be signed was given.
EN
Multi-choice programming problems arise due to the diverse needs of people. In this paper, multichoice optimization has been applied to the bilevel transportation problem. This problem deals with transportation at both the levels, upper as well as lower. There are multiple choices for demand and supply parameters. The multi-choice parameters at the respective levels are converted into polynomials which transmute the defined problem into a mixed integer programming problem. The objective of the paper is to determine a solution methodology for the transformed problem. The significance of the formulated model is exhibited through an example by applying it to the hotel industry. The fuzzy programming approach is employed to obtain a satisfactory solution for the decision-makers at the two levels. A comparative analysis is presented in the paper by solving the bilevel multi-choice transportation problem with goal programming mode as well as by the linear transformation technique. The example is solved using computing software.
11
Content available remote Goal programming approach for deriving priority vectors : some new ideas
75%
EN
The generation of priority vectors from pairwise comparison matrices is an essential part of the Analytic Hierarchy Process. Apart from the well-known Saaty's right eigenvalue method various other procedures have been proposed for priority modelling. Two most important alternative approaches are the statistical estimation techniques and methods based on constrained optimization models. In the paper a new goal programming model for deriving priority vectors and for measurement of consistency is proposed. In this approach the idea of goal programming is combined with the idea of Saaty's eigenvalue method. Some features of the method are studied via computer simulations.
XX
Multi-choice programming problems arise due to the diverse needs of people. In this paper, multi-choice optimization has been applied to the bilevel transportation problem. This problem deals with transportation at both the levels, upper as well as lower. There are multiple choices for demand and supply parameters. The multi-choice parameters at the respective levels are converted into polynomials which transmute the defined problem into a mixed integer programming problem. The objective of the paper is to determine a solution methodology for the transformed problem. The significance of the formulated model is exhibited through an example by applying it to the hotel industry. The fuzzy programming approach is employed to obtain a satisfactory solution for the decision-makers at the two levels. A comparative analysis is presented in the paper by solving the bilevel multi-choice transportation problem with goal programming mode as well as by the linear transformation technique. The example is solved using computing software.
EN
Transportation problem (TP) is a special type of linear programming problem (LPP) where the objective is to minimize the cost of distributing a product from several sources (or origins) to some destinations. This paper addresses a transportation problem in which the costs, supplies, and demands are represented as heptagonal fuzzy numbers. After converting the problem into the corresponding crisp TP using the ranking method, a goal programming (GP) approach is applied for obtaining the optimal solution. The advantage of GP for the decision-maker is easy to explain and implement in real life transportation. The stability set of the first kind corresponding to the optimal solution is determined. A numerical example is given to highlight the solution approach.
EN
Quality profiling seeks to know the quality characteristics of products and processes to improve customer satisfaction and business competitiveness. It is required to develop new techniques and tools that upgrade and complement the traditional analysis of process variables. This article proposes a new methodology to model quality control of the process and product quality characteristics by applying optimization and simulation tools. The application in the production process of carbonated beverages allowed us to identify the most influential variables on the gas content and the degrees Brix of beverage.
EN
The construction industry in India is the second most important contributor to its gross domestic product. However, high rate of accidents and fatalities have tarnished the image of industry in India. Although the industry contributes significantly to the Indian economy, safety management is the primary concern alongside with frequent workplace accidents. The role of safety management is vital to improve safety performance of an organization. The functions of safety management include planning, organizing, staffing, directing, controlling and coordinating safety activities with an aim to minimize accidents/injuries. Safety trainings, employee participation, compliance of safety procedures and motivational schemes are part of safety management which influences the overall safety performance. Several metrics were developed to measure the safety performance of an organization but not a single measure will reflect the overall performance. The present study considered parameters pertaining to the safety management which have influence on the safety performance of a construction organization in India. The parameters are analyzed by formulating a goal programming model. The results of the study suggests that much improvement is needed in the area of safety trainings and the revised targets were established.
PL
W artykule przedstawiono metody wspomagania podziału wygranej w grach kooperacyjnych z wykorzystaniem programowania celowego w sytuacji, gdy ustalony z góry sposób podziału okazuje się nieracjonalny po zawiązaniu koalicji. Nieracjonalność rozumiana jest w sensie takim, że ustalony podział nie należy do rdzenia gry. Metodę przedstawiono na przykładzie ustalenia podziału zysków z realizacji przedsięwzięcia przez cztery oddziały przedsiębiorstwa.
EN
In the paper an idea of supporting method based on goal programming for establish winnings for the players in cooperative game is presented. The problem is considered in case when ad hoc arrangement is irrational in meaning that the allocation of winnings is outside the core of the game. There is example of proposed method as profit distribution problem of four departments in enterprise presented.
PL
W artykule zaprezentowano wielokryterialny model zapotrzebowania materiałowego w kopalni węgla kamiennego. Model zbudowano opierając się na historycznych wielkościach zużycia materiałów i przyjęto dwa kryteria decyzyjne. W artykule założono, że zużycie każdego z materiałów jest ciągłą zmienną losową o znanym rozkładzie prawdopodobieństwa. Założono, że całkowite koszty materiałowe są ograniczone. Zagadnie-nie rozwiązano za pomocą programowania celowego. W rezultacie otrzymano dwa rozwią-zania niezdominowane. Do wyboru ostatecznego rozwiązania zastosowano podejście teorii gier. Przedstawiono model problemu wielokryterialnego w postaci gry niekooperacyjnej oraz przeanalizowano ją pod względem rozwiązania stabilnego, rozumianego w różnym sensie.
EN
The multicriterial model of demand for materials in coal mine is presented in the work. The model is built on basis of historical data of material consumption (per ton of coal production) and there are considered two criteria. There is presumed in the work that volume of i-th material consumption is a continuous random variable with known distribution. In proposed model it is also assumed that costs of materials order volume are limited. Considered problem with the two criteria is solved by using goal programming and as a result two non-dominated solutions are received. The game-theoretical approach to multicriteria decision problems is used to choose the final solution. This part of work deals with multicriteria discrete (finite) decision problem as a game between the criteria – the game is played in DM’s mind. The game is analyzed using non-cooperative stability definitions and concept of risk dominance.
18
Content available remote Metody zarządzania zasobami na przykładzie służby zdrowia
44%
PL
W artykule przedstawiono i zanalizowano problem zarządzania zasobami w służbie zdrowia. Omówiono podstawowe zagadnienia w procesie alokacji zasobów medycznych. Zaprezentowano przykłady zastosowania wybranych metod: programowania matematycznego (liniowego, całkowitoliczbowego, celowego, sieciowego), teorii kolejek, modelowania symulacyjnego, systemów hybrydowych oraz standardowych metod kosztowo-efektywnościowych do analizy zagadnień, związanych z podziałem zasobów w systemach opieki zdrowotnej. Przedyskutowano użyteczność tych metod do rozwiązywania szczegółowych problemów dotyczących zarządzania zasobami medycznymi.
EN
Various issues referring to general problems of resource allocation in the area of healthcare were discussed in the article. Fundamental questions regarding the process of allocating healthcare resources were pointed out. The topics were presented according to the categories of methods used to potentially solve these problems. The following approaches were considered: chosen methods of mathematical programming, queuing theory, simulation, hybrid algorithms combining, among others, artificial intelligence and other techniques, as well as standard cost-effectiveness methods. Such methods were applied to the following problems: analyzing the current state of health care units and presenting proposals of changes to such systems. The modifications suggested referred to: allocation of material resources, planning the work schedules of medical personnel and patient admission. The question of determining the effectiveness of various medical strategies was also discussed. The article clearly underlined the importance and complexity of the problem of managing healthcare resources.
19
Content available remote Metody zarządzania zasobami na przykładzie służby zdrowia
44%
PL
W artykule przedstawiono i zanalizowano problem zarządzania zasobami w służbie zdrowia. Omówiono podstawowe zagadnienia w procesie alokacji zasobów medycznych. Zaprezentowano przykłady zastosowania wybranych metod: programowania matematycznego (liniowego, całkowitoliczbowego, celowego, sieciowego), teorii kolejek, modelowania symulacyjnego, systemów hybrydowych oraz standardowych metod kosztowo-efektywnościowych do analizy zagadnień, związanych z podziałem zasobów w systemach opieki zdrowotnej. Przedyskutowano użyteczność tych metod do rozwiązywania szczegółowych problemów dotyczących zarządzania zasobami medycznymi.
EN
Various issues referring to general problems of resource allocation in the area of healthcare were discussed in the article. Fundamental questions regarding the process of allocating healthcare resources were pointed out. The topics were presented according to the categories of methods used to potentially solve these problems. The following approaches were considered: chosen methods of mathematical programming, queuing theory, simulation, hybrid algorithms combining, among others, artificial intelligence and other techniques, as well as standard cost-effectiveness methods. Such methods were applied to the following problems: analyzing the current state of health care units and presenting proposals of changes to such systems. The modifications suggested referred to: allocation of material resources, planning the work schedules of medical personnel and patient admission. The question of determining the effectiveness of various medical strategies was also discussed. The article clearly underlined the importance and complexity of the problem of managing healthcare resources.
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