This article presents the study of linear fractional programming (LFP) problems under intuitionistic fuzzy setting. The objective of this paper is to solve LFP problems by using ratio ranking method of triangular intu...
详细信息
The principle of a constructing new algorithm of optimization for solution linear problems with hybrid variables is stated. It is an exact optimization method;a new improvement direction is proposed;criterion for subo...
详细信息
The principle of a constructing new algorithm of optimization for solution linear problems with hybrid variables is stated. It is an exact optimization method;a new improvement direction is proposed;criterion for suboptimal is proved. The results of the comparative numerical experiment by computer are presented.
In order to make a system safer, it is necessary to determine which hazard should be removed by considering the interactions of all hazards in the process. In this study, the influence of the hazards related to iron w...
详细信息
In order to make a system safer, it is necessary to determine which hazard should be removed by considering the interactions of all hazards in the process. In this study, the influence of the hazards related to iron works in a construction firm is examined by Bayesian network approach. If only the most important hazard is identified and removed from the work environment, it may be erroneous to comment on the levels of the remaining hazards. A Bayesian network is proposed to remove this problem. If there is more time and budget than planned for a process, these capacities will have to be reduced in other processes. linear programming is proposed to remove this problem. A strong decision support system has been established by combining a Bayesian network and linear programming. A construction firm application has been demonstrated using the proposed method.
Many educational testing programs require different test forms with minimal or no item overlap. At the same time, the test forms should be parallel in terms of their statistical and content-related properties. A well-...
详细信息
Many educational testing programs require different test forms with minimal or no item overlap. At the same time, the test forms should be parallel in terms of their statistical and content-related properties. A well-established method to assemble parallel test forms is to apply combinatorial optimization using mixed-integer linear programming (MILP). Using this approach, in the unidimensional case, Fisher information (FI) is commonly used as the statistical target to obtain parallelism. In the multidimensional case, however, FI is a multidimensional matrix, which complicates its use as a statistical target. Previous research addressing this problem focused on item selection criteria for multidimensional computerized adaptive testing (MCAT). Yet these selection criteria are not directly transferable to the assembly of linear parallel test forms. To bridge this gap the authors derive different statistical targets, based on either FI or the Kullback-Leibler (KL) divergence, that can be applied in MILP models to assemble multidimensional parallel test forms. Using simulated item pools and an item pool based on empirical items, the proposed statistical targets are compared and evaluated. Promising results with respect to the KL-based statistical targets are presented and discussed.
In this paper, we present new preconditioners based on the incomplete Cholesky factorization and on the splitting preconditioner. In the first approach, we consider the interior point methods that are very efficient f...
详细信息
We consider the problem of synthesizing dynamic controllers to guarantee monotonic closed-loop step responses. Restricting our attention to controllers which yield positive closed-loop systems, we derive synthesis con...
详细信息
We consider the problem of synthesizing dynamic controllers to guarantee monotonic closed-loop step responses. Restricting our attention to controllers which yield positive closed-loop systems, we derive synthesis conditions that are linear in the controller parameters. A linear programming formulation that attempts to optimize the decay rate of the closed-loop system while ensuring asymptotic stability and monotonic step response is developed. An alternative approach which guarantees closed-loop stability and a near-monotonic response is also introduced. Several illustrative examples demonstrate the effectiveness of the approach. Copyright (C) 2020 The Authors.
In the present research paper, two types of models are discussed for linear programming problems. Models are determining the work of the employee in day-to-day life. The first is Staff Scheduling for Bhopal-Dewas Corr...
详细信息
In the present research paper, two types of models are discussed for linear programming problems. Models are determining the work of the employee in day-to-day life. The first is Staff Scheduling for Bhopal-Dewas Corridor Toll Plaza and second is worker scheduling for Aqua sure Aquagurad Water Purifiers drinking water Company(Rukmani Beverages Pvt. Ltd.). (C) 2018 Elsevier Ltd. All rights reserved.
We consider a system of nonlinear ordinary differential equations for the solution of linear programming (LP) problems that was first proposed in the mathematical biology literature as a model for the foraging behavio...
详细信息
ISBN:
(纸本)9783959770545
We consider a system of nonlinear ordinary differential equations for the solution of linear programming (LP) problems that was first proposed in the mathematical biology literature as a model for the foraging behavior of acellular slime mold Physarum polycephalum, and more recently considered as a method to solve LP instances. We study the convergence time of the continuous Physarum dynamics in the context of the linear programming problem, and derive a new time bound to approximate optimality that depends on the relative entropy between projected versions of the optimal point and of the initial point. The bound scales logarithmically with the LP cost coefficients and linearly with the inverse of the relative accuracy, establishing the efficiency of the dynamics for arbitrary LP instances with positive costs.
In many existing methods of linear programming problem (LPP), precise values of parameters have been used but parameters of LPP are imprecise and ambiguous due to incomplete information. Several approaches and theorie...
详细信息
In many existing methods of linear programming problem (LPP), precise values of parameters have been used but parameters of LPP are imprecise and ambiguous due to incomplete information. Several approaches and theories have been developed for dealing LPP based on fuzzy set (FS), intuitionistic fuzzy set (IFS) which are characterized by membership degree, membership and non-membership degrees, respectively. It's interesting to note that single membership and non-membership degrees do not deal properly the state of uncertainty and hesitation. Further, we face a kind of uncertainty occurs a kind of uncertainty. Interval-valued intuitionistic fuzzy sets (IV-IFS) is a perfect key for handling uncertainty and hesitation than FS and IFS. In this paper, we dene an interval-valued intuitionistic fuzzy number (IV-IFN) and its expected interval and expected values. We also introduce the concept of interval-valued intuitionistic fuzzy linear programming problem (IV-IFLPP). Further, we find the solutions of IV-IFLPP and compare the obtained optimal solutions with existing methods [D. Dubey and A. Mehra, linear programming with Triangular Intuitionistic Fuzzy Numbers, in Proc. of the 7th Conf. and of the European Society for Fuzzy Logic and Technology (EUSFLAT-LFA 2011), R. Parvathi and C. Malathi, Intuitionistic fuzzy linear optimization, Notes on Intuitionistic Fuzzy Sets 18 (2012) 48-56]. Proposed technique may be used successfully in various areas in the formulation of our country's five year plans, these include transportation, food-grain storage, urban development, national, state and district level plans, etc., The Indian Railways may use IV-IFLPP technique for linking different railway zones in more realistic way. Agricultural research institutes may use proposed technique for crop rotation mix of cash crops, food crops and fertilizer mix. Airlines can apply IV-IFLPP in the selection of routes and allocation of aircrafts to different routes. Private and public sector oil
linear programming is the optimization of a linear function under constraints of linear equations or inequalities. Since much of the information in the real world is unknown, linear programming does not produce accept...
详细信息
暂无评论