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    Wyświetlanie 1-6 z 6
    Tytuł:
    Application of the polyblock method to special integer chance constrained problem
    Autorzy:
    Bellahcene, Fatima
    Powiązania:
    https://bibliotekanauki.pl/articles/406257.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    stochastic programming
    integer nonlinear programming
    monotone optimization
    polyblock method
    Opis:
    The focus in this paper is on a special integer stochastic program with a chance constraint in which, with a given probability, a sum of independent and normally distributed random variables is bounded below. The objective is to maximize the expectation of a linear function of the random variables. The stochastic program is first reduced to an equivalent deterministic integer nonlinear program with monotonic objective and constraints functions. The resulting deterministic problem is solved using the discrete polyblock method which exploits its special structure. A numerical example is included for illustration and comparisons with LINGO, COUENNE, BONMIN and BARON solvers are performed.
    Źródło:
    Operations Research and Decisions; 2019, 29, 4; 23-40
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Algorithm for the stochastic generalized transportation problem
    Autorzy:
    Anholcer, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/406627.pdf
    Data publikacji:
    2012
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    generalized transportation problem
    stochastic programming
    convex programming
    equalization method
    Opis:
    The equalization method for the stochastic generalized transportation problem has been presented. The algorithm allows us to find the optimal solution to the problem of minimizing the expected total cost in the generalized transportation problem with random demand. After a short introduction and literature review, the algorithm is presented. It is a version of the method proposed by the author for the nonlinear generalized transportation problem. It is shown that this version of the method generates a sequence of solutions convergent to the KKT point. This guarantees the global optimality of the obtained solution, as the expected cost functions are convex and twice differentiable. The computational experiments performed for test problems of reasonable size show that the method is fast.
    Źródło:
    Operations Research and Decisions; 2012, 22, 4; 9-20
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stochastic generalized transportation problem with discrete distribution of demand
    Autorzy:
    Anholcer, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/406546.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    stochastic generalized transportation problem
    stochastic programming
    equalization method
    Opis:
    The generalized transportation problem (GTP) allows us to model situations where the amount of goods leaving the supply points is not equal to the amount delivered to the destinations (this is the case, e.g. when fragile or perishable goods are transported or complaints may occur). A model of GTP with random, discretely distributed, demand has been presented. Each problem of this type can be transformed either into the form of a convex programming problem with a piecewise linear objective function, or a mixed integer LP problem. The method of solution presented uses ideas applied in the method of stepwise analysis of variables and in the equalization method.
    Źródło:
    Operations Research and Decisions; 2013, 23, 4; 9-19
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An adaptive method to solve multilevel multiobjective linear programming problems
    Autorzy:
    Kaci, Mustapha
    Radjef, Sonia
    Powiązania:
    https://bibliotekanauki.pl/articles/27315332.pdf
    Data publikacji:
    2023
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    multilevel programming
    multiobjective linear programming
    adaptive method
    sub-optimality estimate
    nondominated solutions
    non-dominated facets
    Opis:
    This paper is a follow-up to a previous work where we defined and generated the set of all possible compromises of multilevel multiobjective linear programming problems (ML-MOLPP). We introduce a new algorithm to solve ML-MOLPP in which the adaptive method of linear programming is nested. First, we start by generating the set of all possible compromises (set of all non-dominated solutions). After that, an algorithm based on the adaptive method of linear programming is developed to select the best compromise among all the possible settlements achieved. This method will allow us to transform the initial multilevel problem into an ML-MOLPP with bonded variables. Then, apply the adaptive method which is the most efficient to solve all the multiobjective linear programming problems involved in the resolution process instead of the simplex method. Finally, all the construction stages are carefully checked and illustrated with a numerical example.
    Źródło:
    Operations Research and Decisions; 2023, 33, 3; 29--44
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Goal programming approach for solving heptagonal fuzzy transportation problem under budgetry constraint
    Autorzy:
    Khalifa, Hamiden Abd El-Wahed
    Powiązania:
    https://bibliotekanauki.pl/articles/406587.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    transportation problem
    heptagonal fuzzy numbers
    ranking method
    goal programming
    parametric study
    Opis:
    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.
    Źródło:
    Operations Research and Decisions; 2020, 30, 1; 85-96
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An algorithm for quadratically constrained multi-objective quadratic fractional programming with pentagonal fuzzy numbers
    Autorzy:
    Goyal, Vandana
    Rani, Namrata
    Gupta, Deepak
    Powiązania:
    https://bibliotekanauki.pl/articles/2175831.pdf
    Data publikacji:
    2022
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    multi-objective quadratic fractional programming model
    MOQFPM
    pentagonal fuzzy number
    PFN
    mean method of α-cut
    parametric approach
    ε-constraint method
    Opis:
    This study proposes a methodology to obtain an efficient solution for a programming model which is multi-objective quadratic fractional with pentagonal fuzzy numbers as coefficients in all the objective functions and constraints. The proposed approach consists of three stages. In the first stage, defuzzification of the coefficients is carried out using the mean method of α-cut. Then, in the second stage, a crisp multi-objective quadratic fractional programming model (MOQFP) is constructed to obtain a non-fractional model based on an iterative parametric approach. In the final stage, this multi- -objective non-fractional model is transformed to obtain a model with a single objective by applying the ε-constraint method. This final model is then solved to get desired solution. Also, an algorithm and flowchart expressing the methodology are given to present a clear picture of the approach. Finally, a numerical example illustrating the complete approach is given.
    Źródło:
    Operations Research and Decisions; 2022, 32, 1; 49--71
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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