The application of mathematical and systematic models and approaches to health is on the rise. In this study, a mixed-integer linear programming problem with cost (staff payroll) objective function is proposed to dete...
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The application of mathematical and systematic models and approaches to health is on the rise. In this study, a mixed-integer linear programming problem with cost (staff payroll) objective function is proposed to determine homogeneous personnel shift scheduling so that the constraints of the number of personnel per shift are met. The purpose of this study is to optimize the scheduling of personnel with the same skills to minimize variable hospital costs. In a hospital, homogeneous personnel might be skilled nurses who can work in the same departments or service staff of the departments. First, a mathematical model is proposed for scheduling as a linearproblem and solved using Lingo software. By analyzing the results for a personnel working time period in Pasargad Hospital in Tehran (Iran), it is found that while optimizing the utilization of the skilled staff within departments, the variable costs (payroll) related to the department for that specified period (month), which includes overtime, overnight and holidays, are reduced by around 10 percent. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
In this paper, authors disclose a new concept of pentagonal neutrosophic (PN) approach to solve linearprogramming (LP) problem. To best of our insight, there is no approach for solving PNLP problem. For the first tim...
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In this paper, authors disclose a new concept of pentagonal neutrosophic (PN) approach to solve linearprogramming (LP) problem. To best of our insight, there is no approach for solving PNLP problem. For the first time, we take up the PNLP problem where the objectives, constraints are considered as pentagonal neutrosophic numbers (PNN). To deign our algorithm, we described the PN arithmetic operation laws and mathematical computation in PNN environment. This proposed method is based on ranking function and convert to its equivalent crisp LP (CrLP) problem. The obtained CrLP issue is presently being tackled by any LP method which is effectively accessible. To legitimize the proposed technique, some numerical tests are given to show the adequacy of the new model.
In this paper, a solution procedure is proposed to solve fuzzy linear fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy n...
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In this paper, a solution procedure is proposed to solve fuzzy linear fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic multi-objective linear fractional programming (MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFP problem is reduced single objective linearprogramming (LP) problem. The proposed procedure illustrated through a numerical example.
The fuzzy linear fractional programmingproblem is an important planning tool in different areas such as engineering, business, finance, and economics. In this study, we propose the use of the (alpha, r) acceptable op...
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The fuzzy linear fractional programmingproblem is an important planning tool in different areas such as engineering, business, finance, and economics. In this study, we propose the use of the (alpha, r) acceptable optimal value for a linear fractional programmingproblem with fuzzy coefficients and fuzzy decision variables, as well as developing a method for computing them. To obtain acceptable (alpha, r) optimal values, we take an alpha-cut on the objective function and r-cut on the constraints. We then formulate an equivalent bi-objective linear fractional programmingproblem to calculate the upper and lower bounds of the fully fuzzy LFP problem. Using the upper and lower bounds obtained, we construct the membership functions of the optimal values numerically. We illustrate the proposed procedure using numerical and real life examples. (C) 2016 Elsevier Inc. All rights reserved.
This paper develops an approach for solving intuitionistic fuzzy linear fractional programmingproblem (IFLFPP). The cost of the objective function, the resources, and the technological coefficients are taken to be tr...
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This paper develops an approach for solving intuitionistic fuzzy linear fractional programmingproblem (IFLFPP). The cost of the objective function, the resources, and the technological coefficients are taken to be triangular intuitionistic fuzzy numbers. Here, the IFLFP problem is transformed into an equivalent crisp multi-objective linear fractional programmingproblem (MOLFPP). By using fuzzy mathematical programming approach, the transformed MOLFPP is reduced into a single objective linear programming problem (LPP) which can be solved easily by suitable LPP algorithm. The proposed procedure is illustrated by a numerical example.
The design (decision) variables in the presented article of a multi-objective interval fractional optimization problem based on a linear function are assumed to take the form of a closed interval using the concept of ...
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The design (decision) variables in the presented article of a multi-objective interval fractional optimization problem based on a linear function are assumed to take the form of a closed interval using the concept of the parametric form of an interval. The original problem is initially changed into equivalent multi-objective interval linearprogramming with the design variables as closed intervals. Further, it is made free from interval uncertainty by changing into a classical single-objective problem using the weighted-sum method. The solutions of the model are theoretically justified by its existence. Finally, a numerical example and a case study on the agricultural planting structure optimization problem with hypothetical data are presented to support the recommended technique for the model.
Multi-objective linear plus linear fractional programmingproblem is an emerging tool for solving problems in different environments such as production planning, financial and corporate planning and healthcare and hos...
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Multi-objective linear plus linear fractional programmingproblem is an emerging tool for solving problems in different environments such as production planning, financial and corporate planning and healthcare and hospital planning which has attracted many researchers in recent years. This paper presents a method to find a Pareto optimal solution for the multi-objective linear plus linear fractional programmingproblem through nonlinear membership function. The proposed approach defines a fuzzy goal for each objective through a nonlinear membership function. By means of nonlinear membership function, the multi-objective linear plus linear fractional programmingproblem transformed into a multi-objective nonlinear programming problem. Applying the linear approximation method, the nonlinear objectives are converted into linear. In order to solve the multi-objective linear programming problem, the fuzzy goal programming model is formulated by minimizing the negative deviational variables. The proposed procedure is illustrated through numerical examples and a real-life application problem. Further, it is compared with the existing methods. Finally, the Euclidean distance function has been used to prove the efficiency of the proposed method.
In this paper, a method is proposed to solve Fuzzy linear Fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here...
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ISBN:
(纸本)9781479900206
In this paper, a method is proposed to solve Fuzzy linear Fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic Multi-Objective linear Fractional programming (MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFP problem is reduced single objective linearprogramming (LP) problem. The proposed procedure illustrated through a numerical example.
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