Multi-objective Linear Model Research Articles

Production planning modeling: A fuzzy multi objective fractional programming approach

Production planning is one of the most important issues of managers in industry. Production managers face up with several goals that sometimes conflict with each other. Operations research techniques with considering the constraints, optimize organizational goals. Objectives of all these techniques are raising productivity in the organization. In this paper, the researchers present a multi-objective linear fractional model of production planning in wood and metal company. One of the difficulties in solving the multiple objective fractional problems is computational problem that arises from of variability, in the example of Charnes and Cooper (1961) methods. In this research, fuzzy approach issued to solve multiple objective fractional mathematical problems of Khavar-E-Miane Wood and Metal Company. First, with some assumptions, the fuzzy linear fractional goal programming method of Pal has been used to solve the problem of production planning. Then, the fuzzy method of Dutta is utilized to solve the problem. Comparison of results showed that both methods have identical solution. Key words: Production planning, fuzzy goal programming, productivity, fuzzy fractional programming, wood and metal company.

A Reverse Logistics Model For Recovery Options Of E-waste Considering the Integration of the Formal and Informal Waste Sectors

Wastes coming from electrical and electronic equipment (EEE) known as e-waste is a major concern because of its alarming increase as well as the hazardous substances within them that could cause harm on humans and the environment if not properly treated. In developing countries, e-waste is collected and recycled by the Informal waste sector (IWS) who neither have the proper training nor the proper equipment/facility. This makes reverse logistics of e-waste and the integration of the IWS to the formal waste sector necessary to minimize the mentioned negative effects. A mixed integer multi-objective linear programming reverse logistics model was developed in this study to integrate the two waste sectors and address the economic, environmental and health issues brought about by e-waste through the use of different recovery options. The model was able to generate generalizations of when it would be appropriate to use certain options or certain combination of options especially regarding the amount to be given to the IWS as compensation for no longer treating and for integrating with the formal waste sector. It was also found that mandating producers to treat very large amounts of e-wastes may force them to use the IWSs more as treatment facilities

A multiobjective interactive approach to determine the optimal electricity mix in Andalucía (Spain)

It seems clear that energy production is one of the key aspects of global sustainability. Economic, social and environmental aspects must be taken into account in order to design appropriate policies and thus, multicriteria analysis becomes a very adequate tool to deal with real problems of this kind. This study was directed by the Regional Ministry of Environment of Andalucia, who wanted to know the impact on the cost and on the environmental damage of a potential mix, more focused on renewable sources. Some authorities of the Ministry acted as decision maker in the interactive process. As a result, we have built a linear multiobjective model, in order to determine the optimal electrical mix for the Spanish region of Andalucia. Namely, we determine how much electricity power should be installed and produced, by each of the eight generation systems considered (lignite, other coals, oil, natural gas, nuclear, photovoltaic, wind and mini-hydro). Apart from the economic criterion (yearly cost), we have considered the vulnerability (in terms of percentage of imported fuel) as a strategic criterion, and 12 environmental criteria, which have been derived using the Life Cycle Analysis method on the different production systems. The interactive system PROMOIN was used to solve the multiobjective problem. PROMOIN allows the decision maker to choose how to give preference information to the system, and enables changing it anytime during the solution process, which gives more flexibility to the decision maker and increases the confidence of the decision maker in the final solution.

Analysis of risk in linear multi-objective model and its evaluation for selection of a portfolio of investment in the Mexican Stock Exchange

Each model designed to select an investment portfolio is based on different assumptions for estimating the risk and the return. These assumptions determine feasible solutions area and the front of efficient portfolios. Therefore, the assumptions of Markowitz model, capital assets pricing model and the linear multi-objective model are discussed. A portfolio of investments in different scenarios was determined by the last two models, and it is showed that the portfolio of investment determined by linear multi-objective model has higher return at lower risk. These tests also evaluated the assumptions of the models. It concludes that it is possible to gain a competitive advantage if another point of view will be considered in the selection of the investment portfolio. Key words: Multi-objective linear programming, investment portfolio, Mexican Stock Exchange.

Mathematical Linear Multi-objective Model with a Process of Neighbourhood Search and its Application for the Selection of an Investment Portfolio in the Mexican Stock Exchange During a Period of Debacle

In this work is presented a linear multi-objective model that in each iteration is solved a linear programming problem, where the magnitude of the restrictions is obtained by a neighbourhood of the convex search space of feasible solutions. The selection of an investment portfolio through a multiobjective mathematical model indicates that it has several available portfolios. In our model the selection of one of them is performed with the same principle used by the Capital Assets Pricing Model, it is a single point that touches the border of optimal portfolios. The model is tested with a Mexican Stock investment portfolio selection during a period of debacle. This is possible because our model can be applied when there are no positive returns. The results show that using a neighbourhood search within feasible solutions is correct because is possible to obtain investment portfolios with positive profit in periods of debacle.

A weighted additive fuzzy programming approach for multi-criteria supplier selection

In supply chain management, to build strategic and strong relationships, firms should select best suppliers by applying appropriate method and selection criteria. In this paper, to handle ambiguity and fuzziness in supplier selection problem effectively, a new weighted additive fuzzy programming approach is developed. Firstly, linguistic values expressed as trapezoidal fuzzy numbers are used to assess the weights of the factors. By applying the distances of each factor between Fuzzy Positive Ideal Rating and Fuzzy Negative Ideal Rating, weights are obtained. Then applying suppliers’ constraints, goals and weights of the factors, a fuzzy multi-objective linear model is developed to overcome the selection problem and assign optimum order quantities to each supplier. The proposed model is explained by a numerical example.

Ranking efficient decision-making units in data envelopment analysis using fuzzy concept

This paper introduces a new mathematical method for improving the discrimination power of data envelopment analysis and to completely rank the efficient decision-making units (DMUs). Fuzzy concept is utilised. For this purpose, first all DMUs are evaluated with the CCR model. Thereafter, the resulted weights for each output are considered as fuzzy sets and are then converted to fuzzy numbers. The introduced model is a multi-objective linear model, endpoints of which are the highest and lowest of the weighted values. An added advantage of the model is its ability to handle the infeasibility situation sometimes faced by previously introduced models.

A Decision-Aid in Supplier Selection for Entrepreneurs, Using Nested-Design, MODM and FAHP

Decision making is an important task for entrepreneurs, and proper performance of purchasing has a direct effect on decreasing costs, increasing profitability, and survival of an entrepreneur. Also, entrepreneurs must follow formal rational decision processes as much as possible with fewer costs. To do so, they can use Design of Experiment techniques in combination with decision-aids. In this paper, the authors develop a fuzzy linear multiobjective model for supplier selection. With this model, the decision maker will be able to identify effective criteria with the Nested-Design technique and their relative importance on supplier selection with FAHP. In this regard, fuzzy linear multiobjective programming will be assigned a share of suppliers for supply and demands in the supply chain. The authors expect that using this combination of techniques will have an impressive effect on reducing supplier selection costs.

Multiobjective Linear Model Optimize Water Distribution in Mexican Valley

A multiobjective optimization model is developed for the Mexican Valley to find optimal water distribution scenarios for three water users: agriculture, industry and domestic. Surface, ground, treated and imported water supplies are considered. The model with three objectives and 15 constraints was solved by the distance based method with distance l1.

An interactive possibilistic programming approach for multiple objective supply chain master planning

Providing an efficient production plan that integrates the procurement and distribution plans into a unified framework is critical to achieving competitive advantage. In this paper, we consider a supply chain master planning model consisting of multiple suppliers, one manufacturer and multiple distribution centers. We first propose a new multi-objective possibilistic mixed integer linear programming model (MOPMILP) for integrating procurement, production and distribution planning considering various conflicting objectives simultaneously as well as the imprecise nature of some critical parameters such as market demands, cost/time coefficients and capacity levels. Then, after applying appropriate strategies for converting this possibilistic model into an auxiliary crisp multi-objective linear model (MOLP), we propose a novel interactive fuzzy approach to solve this MOLP and finding a preferred compromise solution. The proposed model and solution method are validated through numerical tests. Computational results indicate that the proposed fuzzy method outperforms other fuzzy approaches and is very promising not only for solving our problem, but also for any MOLP model especially multi-objective mixed integer models.

Fuzzy multiobjective linear model for supplier selection in a supply chain

Within new strategies for purchasing and manufacturing, suppliers play a key role in achieving corporate competition. Hence, selecting the right suppliers is a vital component of these strategies. In practice, vagueness and imprecision of the goals, constraints and parameters in this problem make the decision-making complicated. In spite of the importance of the problem the literature on this subject is relatively scarce. In this paper a fuzzy multiobjective linear model is developed to overcome the vagueness of the information. For the first time in a fuzzy supplier selection problem, an asymmetric fuzzy-decision making technique is applied to enable the decision-maker to assign different weights to various criteria. The model is explained by an illustrative example.

Railroad infrastructure operations : Modeling and resolution

This is a summary of the main results presented in the au-thor’s PhD thesis. This thesis was supervised by Arnaud Freville, Xavier Gandibleux and Joaquin Rodriguez, and defended on 10 December 2003 at the University of Valenciennes (France). It is written in French and is available at http: //www3.inrets.fr/~delorme/Papiers/These/These.pdf. This work deals with a real-world planning problem in railroad infrastructure operations. It proposes a new multiobjective linear model of the problem, using an overall set packing structure, as well as several algorithms dedicated to set packing resolution. It also discusses the integration of this research in a decision support system for evaluating railroad infrastructure capacity.

Economy Modelling In Especially ProtectedAreas

The paper deals with a multiobjective linear programming model with fuzzy coefficients for supporting decisions in especially protected areas. In such areas as national and landscape parks or drinking water and spa areas, one must strictly adhere to the environmental protection rules. There is presented in the paper a multiobjective linear model with fuzzy coefficients created for the Drawa National Park (Poland) and its surroundings. To obtain efficient solutions from the model, an interactive method FLIP (Fuzzy Linear Programming) has been chosen. Efficient solutions can forecast possible scenarios of economy changes and danger of environment degradation.

An interactive multiobjective procedure for selecting medium‐term countermeasures after nuclear accidents

This paper presents a methodology for supporting medium-term decisions in the context of nuclear accidents. An interactive procedure based on a multiobjective linear model is introduced, allowing the set of feasible strategies to be explored. This procedure enables the users to express preferences on both criterion values and the structure of the strategies. Additional flexibility is provided by the possibility of integrating evolutive constraints during the decision process. © 1998 John Wiley & Sons, Ltd.

An interactive multiobjective procedure for selecting medium‐term countermeasures after nuclear accidents

This paper presents a methodology for supporting medium-term decisions in the context of nuclear accidents. An interactive procedure based on a multiobjective linear model is introduced, allowing the set of feasible strategies to be explored. This procedure enables the users to express preferences on both criterion values and the structure of the strategies. Additional flexibility is provided by the possibility of integrating evolutive constraints during the decision process. © 1998 John Wiley & Sons, Ltd.

98/00836 Multiobjective linear model for pre-feasibility design of cogeneration systems

98/00836 Multiobjective linear model for pre-feasibility design of cogeneration systems

97/03355 Multiobjective linear model for pre-feasibility design of cogeneration systems

97/03355 Multiobjective linear model for pre-feasibility design of cogeneration systems

Multiobjective linear model for pre-feasibility design of cogeneration systems

This article deals with some methodologies for economic and technical evaluations of cogeneration projects proposed by several authors. A discussion on design philosophy applied to thermal power plants leads to the decision problem of a conflicting, multiobjective formulation that includes the most important parameters. This model is formulated to help decision makers and designers in choosing compromise values for included parameters.

Survey of input optimization1

Input optimization is a conceptually new level of optimization, at which the mathematical programming model, rather than a usual program, is optimized. This is achieved by optimizing the optimal value function by stable perturbations of the parameters (input). This paper is a survey of the basic ideas in finite-dimensional input optimization for both single- and multi-objective linear and convex models. The theory is general enough not to require extraneous assumptions, such as linear independence of the gradients or Slater's Condition. On the other hand, it is of a constructive nature that takes it possible to formulate numerical methods for computing an “optimal input”and the corresponding “optimal realization” of the mathematical model. Many results from the “usual” mathematical programming and sensitivity analysis follow as special cases. The paper contains many illustrative examples and lists a wide range of (potential) applications of input optimization from long-range planning for an economic syste...

Electric power generation expansion: Planning with multiple objectives

A linear multi-objective model for power generation expansion is studied in this paper. The model is applied to the power system planning of Singapore and solved by a newly developed interactive method. The generation alternatives considered are oil-fired, coal-fired, natural-gas fired and nuclear power plants. The multi-objective model does not recommend nuclear plant for Singapore because of the high risks and environmental impact, though the single objective version considers it attractive for economic reasons. Results obtained are analyzed and some preferred expansion plans for Singapore are recommended.