In this paper, a class of multi-objective programming is considered, in which related functions are B - (p, r, a)-invex functions, mixed dual problem is researched, many duality theorems are proved under weaker convex...
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ISBN:
(纸本)9781315813288;9781138000797
In this paper, a class of multi-objective programming is considered, in which related functions are B - (p, r, a)-invex functions, mixed dual problem is researched, many duality theorems are proved under weaker convexity.
In this paper, a fuzzy goal programming (FGP) algorithm for solving bi-level multi- objectiveprogramming problems with fuzzy demands is presented. These fuzzy demands reflect the experts' imprecise or fuzzy under...
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In this paper, a fuzzy goal programming (FGP) algorithm for solving bi-level multi- objectiveprogramming problems with fuzzy demands is presented. These fuzzy demands reflect the experts' imprecise or fuzzy understandings of the nature of parameters in the problem formulation process are assumed to be characterized as fuzzy numbers. Using the level sets of fuzzy parameters, the corresponding non fuzzy bilevel programming problem is introduced. In the proposed algorithm, the membership functions for the defined fuzzy goals of all objective functions at the two levels, as well as the membership functions for the vector of decision variables controlled by FLDM are developed in the model formulation of the problem. Then FGP algorithm is used to achieve the highest degree of each of the membership goals by minimizing their deviational variables and thereby obtaining the most satisfactory solution for all decision makers. Illustrative numerical example is given to demonstrate the proposed algorithm.
This study develops a dynamic multi-objective programming (DMOP) approach to handle problems of optimization under conditions of uncertainty typified by multiple goals and dynamic subsystems. The proposed approach sea...
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This study develops a dynamic multi-objective programming (DMOP) approach to handle problems of optimization under conditions of uncertainty typified by multiple goals and dynamic subsystems. The proposed approach seamlessly integrates multi-objective programming, fuzzy set theory, and system dynamics tools to conduct optimal land use planning in dynamic and complex environmental systems. Based on the DMOP approach, this study constructs an interactive dynamic multi-objective programming model, investigates the connection between land use and future urban development, and incorporates the preferences of decision makers using a compromise index. A case study from Taiwan shows that the proposed modeling framework can accommodate more complete information, allowing improvements to be made in strategic planning for land use. (C) 2013 Elsevier Ltd. All rights reserved.
Small hydropower (SHP) possesses significant economic, technical, and environmental advantages, and accounts for a large proportion of hydropower development in China. However, the concentrated, cascaded, and diversio...
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Small hydropower (SHP) possesses significant economic, technical, and environmental advantages, and accounts for a large proportion of hydropower development in China. However, the concentrated, cascaded, and diversion-type development of SHP has resulted in long-distance dewatering of river sections, and inter-basin water transfers have led to severe exploitation of water resources and damage to river ecosystems. In this paper, the Datong River Basin, a secondary sub-basin of the Yellow River Basin in China, was selected as the illustrative case, which includes 22 hydropower projects (HPPs) and three inter-basin water diversion projects (WDPs). A nexus system model was established that used weighted multi-objective programming to consider three main objectives: the water resources utilization (local water withdrawal and inter-basin water transfer), energy production (by cascaded HPPs), and riverine environmental conservation. The Tennant method was used to estimate the environmental flows (e-flows) at the cross-sections immediately downstream of the dam/sluice gate and immediately downstream of the hydropower plant of diversion-type HPPs. The decreased percentage of regulated flow in comparison with runoff and the guaranteed rate of e-flow at the control cross-section were introduced to assess the degree of environmental impact to the river. Using a historical series of runoff data during 1956-2016 as the model input (i.e., implicit stochastic method), the multi-start solver of nonlinear programming of LINGO software was used to conduct optimizations and analyses for multiple scenarios (with/ without e-flow, with consideration of various levels of e-flow, and with/without water resources utilization). The sectoral linkages relating to the water-energy-ecosystem (WEE) nexus were quantitatively identified. The possible influences of different boundary conditions (i.e., initial/final reservoir storage, inter-basin water diversion capacity, and climate change) on the W
Shipbrokers play a key role in maritime industry by acting as intermediates between shipping companies and the market. They undertake various chartering, buying or selling operations. In this paper, we propose a mathe...
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Shipbrokers play a key role in maritime industry by acting as intermediates between shipping companies and the market. They undertake various chartering, buying or selling operations. In this paper, we propose a mathematical programming approach for the evaluation and selection of shipbrokers. Specifically, the score of each ship broker is a composite measure that is derived by aggregating a set of performance criteria, e.g., reputation, etc. The developed mathematical programming models enable the aggregation and weighting of the criteria. We employ three optimization models to explore the effect of different weighting schemes on the scores and ranking of the shipbrokers. The models that provide a common set of weights for all the shipbrokers establish the appropriate ground for comparisons among them. Also, our models facilitate the incorporation of user priorities over the criteria in the form of weight restrictions. The proposed approach is illustrated by assessing seven shipbroker offers for selling a dry-bulk ship using four criteria, namely revenue, brokerage fee, brokerage time and terms & conditions.
Recently, cloud services and cloud computing have revolutionized both academic research and industrial practices. A corresponding focus on how to improve the performance of cloud computing is growing apace. It is a si...
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ISBN:
(纸本)9781479985630
Recently, cloud services and cloud computing have revolutionized both academic research and industrial practices. A corresponding focus on how to improve the performance of cloud computing is growing apace. It is a significant approach to allocate virtual machines (VMs) on a set of physical machines. Computing resources can be utilized effectively with the optimal distribution of the virtual machines among the physical machines. This study aims to establish the dynamic placement model of VMs by multi-objective programming for (1) minimizing energy consumption, (2) maximizing effectiveness of physical machine, and (3) minimizing the task waiting time. Experiments are implemented to verify the effectiveness of the proposed methods.
The selection of an effective and efficient vendor plays a crucial role in achieving a competitive advantage in food supply chain management. This study focuses on the complex decision-making process of vendor selecti...
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The selection of an effective and efficient vendor plays a crucial role in achieving a competitive advantage in food supply chain management. This study focuses on the complex decision-making process of vendor selection problem, considering multiple quantitative and qualitative factors. The primary objectives of this research are to minimize net ordering costs, transportation costs, and late deliveries. Recognizing the presence of uncertainty in input parameters, Interval type-2 trapezoidal fuzzy numbers are used to effectively capture and represent this uncertainty. Through the calculation of expected values, a precise equivalent form is derived. The study employed exponential smoothing forecasting analysis to estimate product demand accurately, reducing the risk of shortages and associated financial losses. To attain a mutually satisfactory solution, a fuzzy goal programming methodology was applied. A numerical example was presented to illustrate the methodology's practical applicability and provide deeper insights into its underlying concepts. The solution successfully minimized the net ordering cost for aggregate demand to a value of 6,115,073. The total net cost of transportation for all products was reduced to 279,361, and the number of vendors' late deliveries was minimized to 153,152. The order quantities for the selected vendors were determined as 5236, 9376, 6358, and 4360 units, respectively. Vendors 1, 3, and 4 exhibited superior performance, whereas Vendor 2 experienced a substantial reduction in allocation due to poor performance.
It is important to manage water resources via emergy theory and its implementation mechanism for water dispatching while considering both economic development and environmental needs. The contribution of this paper is...
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It is important to manage water resources via emergy theory and its implementation mechanism for water dispatching while considering both economic development and environmental needs. The contribution of this paper is to propose a multi-objective dynamic differential game that can determine the optimal tax rate (OTR), optimal trading quantity of water (OTQW) in each province, and optimal bargain price (OBP) to balance resource consumption, economic development and environmental protection. Considering the sustainability of the ecological environment, the quantification of negative sewage value and net carbon emission constraints are introduced into the water allocation. To maximize the target revenue functions, minimize the net carbon emission constraints and obtain sustainable equilibrium solutions in this triple-level game, the costate function, Hamiltonian, and Lagrangian multiplier method are introduced. Then, a water dispatching structure is constructed for error correction between the predicted and actual runoff of the YRB. Taking the Yellow River Basin as an example, the validity of the proposed framework and solution method were verified under different hydrological years, with 6.5% similar to 9.1% higher economic benefits than other schemes and 4.3% similar to 5.9% lower net carbon emissions than other schemes. Compared to previous studies, this scheme can better meet the requirements of sustainable development and environmental protection.
In real life situations, it is difficult to handle multi-objective linear fractional stochastic transportation problem. It can't be solved directly using mathematical programming approaches. In this paper, a solut...
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In real life situations, it is difficult to handle multi-objective linear fractional stochastic transportation problem. It can't be solved directly using mathematical programming approaches. In this paper, a solution procedure is proposed for the above problem using a genetic algorithm based fuzzy programming method. The supply and demand parameters of the said problem follow four-parameters Burr distribution. The proposed approach omits the derivation of deterministic equivalent form as required in case of classical approach. In the given methodology, initially the probabilistic constraints present in the problem are tackled using stochastic programming combining the strategy adopted in genetic algorithm. Throughout the problem, feasibility criteria is maintained. Then after, the non-dominated solution are obtained using genetic algorithm based fuzzy programming approach. In the proposed approach, the concept of fuzzy programming approach is inserted in the genetic algorithm cycle. The proposed algorithm has been compared with fuzzy programming approach and implemented on two examples. The result shows the efficacy of the proposed algorithm over fuzzy programming approach.
In many real situations, it is frequently difficult to accurately determine the membership and non-membership degrees related to an element of the set with complete satisfaction because of the ambiguity in the input d...
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In many real situations, it is frequently difficult to accurately determine the membership and non-membership degrees related to an element of the set with complete satisfaction because of the ambiguity in the input data. In instances like these, intuitionistic fuzzy (IF) numbers are crucial. We present a simple approach in this paper to solve the fully intuitionistic fuzzy multi-level linear fractional programming (FIFMLLFP) problem. By applying the new suggested approach to the problem under consideration, each level of the FIFMLLFP problem is converted into five crisp linear (MLMOLFP) problems, where each crisp problem has an additional bounded variables constraint and the upper problems' optimization variables are treated as parameters. This is done by using an iterative technique for linearizing fractional objectives. We converted the MLMOLFP problem into a multilevel multiobjective linear programming (MLMOLP) problem, in addition to the & epsilon;-constraint method that is used to reduce MLMOLP problem to a single objective linear programming problem. The method is demonstrated stepby-step with a numerical example.
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