This thesis builds an optimization decision model that can be used to determine the optimum ratio of the two vehicles that the Army and Marine Corps can purchase to minimize costs while taking into account constraints...
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This thesis builds an optimization decision model that can be used to determine the optimum ratio of the two vehicles that the Army and Marine Corps can purchase to minimize costs while taking into account constraints related to each vehicles' capabilities, such as required off-road capabilities and transport ease for missions supported by the services. The proposed optimization decision model is a cost minimizing non-linear programming model that also accounts for changes in the average production cost of each type of vehicle by embedding a cumulative average cost formula into the objective function of the model.
In order to effectively avoid risks that might result in loss of failure in software development process, based on the experiences of software development and project management, this paper identifies 4 potential risk...
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In order to effectively avoid risks that might result in loss of failure in software development process, based on the experiences of software development and project management, this paper identifies 4 potential risk factors specific to software development projects which are integrated with 6 stages in software development process, and proposes a non-linear programming model to optimize funds allocation to reduce the risks. The paper provides an example to validate the effectiveness of the model.
Demand and supply pattern for most products varies during their life cycle in the markets. In this paper, the author presents a transportation problem with non-linear constraints in which supply and demand are symmetr...
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Demand and supply pattern for most products varies during their life cycle in the markets. In this paper, the author presents a transportation problem with non-linear constraints in which supply and demand are symmetric trapezoidal fuzzy value. In order to reflect a more realistic pattern, the unit of transportation cost is assumed to be stochastic. Then, the non-linear constraints are linearized by adding auxiliary constraints. Finally, the optimal solution of the problem is found by solving the linearprogramming problem with fuzzy and crisp constraints and by applying fuzzy programming technique. A new method proposed to solve this problem, and is illustrated through numerical examples. Multi-objective goal programming methodology is applied to solve this problem. The results of this research were developed and used as one of the Decision Support System models in the Logistics Department of Kayson Co.
Proper allocation and distribution of lift gas is necessary for maximizing total oil production from a field with gas lifted oil wells. When the supply of the lift gas is limited, the total available gas should be opt...
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Proper allocation and distribution of lift gas is necessary for maximizing total oil production from a field with gas lifted oil wells. When the supply of the lift gas is limited, the total available gas should be optimally distributed among the oil wells of the field such that the total production of oil from the field is maximized. This paper describes a non-linear optimization problem with constraints associated with the optimal distribution of the lift gas. A non-linear objective function is developed using a simple dynamic model of the oil field where the decision variables represent the lift gas flow rate set points of each oil well of the field. The lift gas optimization problem is solved using the 'fmincon' solver found in MATLAB. As an alternative and for verification, hill climbing method is utilized for solving the optimization problem. Using both of these methods, it has been shown that after optimization, the total oil production is increased by about 4%. For multiple oil wells sharing lift gas from a common source, a cascade control strategy along with a nonlinear steady state optimizer behaves as a self-optimizing control structure when the total supply of lift gas is assumed to be the only input disturbance present in the process. Simulation results show that repeated optimization performed after the first time optimization under the presence of the input disturbance has no effect in the total oil production.
The fuzzy Bayesian system reliability assessment based on prior two-parameter exponential distribution under squared error symmetric loss function and precautionary asymmetric loss function is proposed in this paper. ...
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The fuzzy Bayesian system reliability assessment based on prior two-parameter exponential distribution under squared error symmetric loss function and precautionary asymmetric loss function is proposed in this paper. In order to apply the Bayesian approach, the fuzzy parameters are assumed as fuzzy random variables with fuzzy prior distributions. Because the goal of the paper is to obtain fuzzy Bayes point estimators of system reliability assessment, prior distributions of location-scale family has been changed to scale family with change variable. On the other hand, also the computational procedures to evaluate the membership degree of any given Bayes point estimate of system reliability have been provided. In order to achieve this purpose, we transform the original problem into a non-linear programming problem. This non-linear programming problem is then divided into four sub-problems for the purpose of simplifying computation. Finally, the sub-problems can be solved by using any commercial optimizers, e.g. GAMS or LINGO. Copyright (c) 2010 John Wiley & Sons, Ltd.
In this paper open loop optimal trajectories for downhill driving are described. Problem formulation including process modelling, model simplification, transformation into a finite optimisation problem, and implementa...
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In this paper open loop optimal trajectories for downhill driving are described. Problem formulation including process modelling, model simplification, transformation into a finite optimisation problem, and implementation into the TOMLAB optimisation package are presented. Results show that there is a large potential in controlling the complete brake system of a heavy duty truck and thereby simultaneously improve both mean speed (transport efficiency) and component wear cost. The resulting optimal trajectories define the upper limit for what is theoretically achievable in a real, closed loop, controller implementation and can be used to both inspire and verify the development of such algorithms.
In the paper, one focuses on the problem of duality in non-linear programming, applied to the solution of no-tension problems by means of Limit Analysis (LA) theorems for Not Resisting Tension (NRT) models. In details...
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In the paper, one focuses on the problem of duality in non-linear programming, applied to the solution of no-tension problems by means of Limit Analysis (LA) theorems for Not Resisting Tension (NRT) models. In details, one demonstrates that, starting from the application of the duality theory to the non-linear program defined by the static theorem approach for a discrete NRT model, this procedure results in the definition of a dual problem that has a significant physical meaning: the formulation of the kinematic theorem.
Probabilistic programming is used in some optimization problems where some or all parameters are considered as random variables, in order to deal with uncertainty, which is an inherent feature of the system. The situa...
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Probabilistic programming is used in some optimization problems where some or all parameters are considered as random variables, in order to deal with uncertainty, which is an inherent feature of the system. The situation of multiple parameters may exist in a decision making problem in our real life. The multi-choice programming can not only avoid the underestimation of parameters, but also can decide the appropriate parameter from multiple parameters. This paper deals with a probabilistic linearprogramming problem, where the right hand side parameters of probabilistic constraints are multichoice in nature and rest of the parameters are independent random variables. In this paper the probabilistic programming problem is converted to an equivalent deterministic mathematical programming model. The resulting model is then solved by standard linear or non-linear programming techniques. A numerical example is presented to illustrate the methodology.
Product service system (PSS) planning has been attracting attentions of global manufacturers to change from providing only products to offering both products and their services as a whole. The PSS planning approach ca...
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Product service system (PSS) planning has been attracting attentions of global manufacturers to change from providing only products to offering both products and their services as a whole. The PSS planning approach can maintain the functionality of products for customers throughout the whole product life-cycle. Identification of the product and service parameters in early design stages plays a critical role in PSS development. The PSS planning is usually started by the mapping from customer requirements (CRs) in the customer domain to engineering characteristics (ECs), including product-related ECs (P-ECs) and service-related ECs (S-ECs), in the functional domain. In this paper, a systematic decision-making approach for PSS planning is developed to determine the optimal fulfillment levels of ECs considering requirements of customers and manufacturers. The PSS planning is conducted through four phases. First, the initial weights of ECs considering customer needs are achieved based on fuzzy pairwise comparison. Second. the data envelopment analysis (DEA) approach is applied to obtain the final weights of ECs considering customer requirements as well as other requirements of the manufacturers. Third, the ECs are categorized into different Kano attribute classes using fuzzy Kano's questionnaire (FKQ) and fuzzy Kano's mode (FKM) for evaluation of the PSS. In the last phase, non-linear programming is carried out to maximize the fulfillment levels of ECs. A case study is carried out to demonstrate the effectiveness of the developed optimal PSS planning approach. (C) 2011 Elsevier Ltd. All rights reserved.
In this paper a non-linear programming model is developed for a typical factory which presents the optimal values and times for the electrical energy consumption based on doing activities and operations in factory. Mo...
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In this paper a non-linear programming model is developed for a typical factory which presents the optimal values and times for the electrical energy consumption based on doing activities and operations in factory. Model's appropriate parameters are been with due attention to define tariffs and limitations by distributions of electrical energy. Furthermore, the operational constraints of the typical factory are formulated and these constraints are merged with the constraints of appropriate consumption. (C) 2006 Elsevier Inc. All rights reserved.
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