Fuzzy Inventory Model under Selling Price Dependent Demand and Variable Deterioration with Fully Backlogged Shortages

The objective is to develop a model considering demand dependent on selling price and deterioration occurs after a certain period of time, which follows two-parameter Weibull distribution. Shortages are allowed and fully backlogged. Fuzzy optimal solution is obtained by considering hexagonal fuzzy numbers and for defuzzification Graded Mean Integration Representation Method. A numerical example is provided for the illustration of crisp and fuzzy, both models. To observe the effect of changes in parameters, sensitivity analysis is carried out.

Time-variant fragility analysis of the bridge system considering time-varying dependence among typical component seismic demands

This paper presents a copula technique to develop time-variant seismic fragility curves for corroded bridges at the system level and considers the realistic time-varying dependence among component seismic demands. Based on material deterioration mechanisms and incremental dynamic analysis, the time-evolving seismic demands of components were obtained in the form of marginal probability distributions. The time-varying dependences among bridge components were then captured with the best fitting copula function, which was selected from the commonly used copula classes by the empirical distribution based analysis method. The system time-variant fragility curves at different damage states were developed and the effects of time-varying dependences among components on the bridge system fragility were investigated. The results indicate the time-varying dependence among components significantly affects the time-variant fragility of the bridge system. The copula technique captures the nonlinear dependence among component seismic demands accurately and easily by separating the marginal distributions and the dependence among them.

Time-Variant Reliability-Based Multi-Objective Fuzzy Design Optimization for Anti-Roll Torsion Bar of EMU

Although various types of anti-roll torsion bars have been developed to inhibit excessive roll angle of the electric multiple unit(EMU)car body,it is critical to ensure the reliability of structural design due to the complexity of the problems involving time and uncertainties.To address this issue,amulti-objective fuzzy design optimization model is constructed considering time-variant stiffness and strength reliability constraints for the anti-roll torsion bar.A hybrid optimization strategy combining the design of experiment(DoE)sampling and non-linear programming by quadratic lagrangian(NLPQL)is presented to deal with the design optimization model.To characterize the effect of time on the structural performance of the torsion bar,the continuous-time model combined with Ito lemma is proposed to establish the time-variant stiffness and strength reliability constraints.Fuzzy mathematics is employed to conduct uncertainty quantification for the design parameters of the torsion bar.A physical programming approach is used to improve the designer’s preference and to make the optimization results more consistent with engineering practices.Moreover,the effectiveness of the proposed method has been validated by comparing with current methods in a practical engineering case.

A super-network equilibrium optimization method for operation architecture with fuzzy demands

From the view of information flow, a super-network equilibrium optimization model is proposed to compute the solution of the operation architecture which is made up of a perceptive level, a command level and a firepower level. Firstly, the optimized conditions of the perceptive level, command level and firepower level are analyzed respectively based on the demand of information relation,and then the information supply-and-demand equilibrium model of the operation architecture super-network is established. Secondly,a variational inequality transformation(VIT) model for equilibrium optimization of the operation architecture is given. Thirdly, the contraction projection algorithm for solving the operation architecture super-network equilibrium optimization model with fuzzy demands is designed. Finally, numerical examples are given to prove the validity and rationality of the proposed method, and the influence of fuzzy demands on the super-network equilibrium solution of operation architecture is discussed.

Optimal guaranteed cost control for fuzzy descriptor systems with time-varying delay

Based on the delay-independent rule, the problem of optimal guaranteed cost control for a class of Takagi-Sugeno （T-S） fuzzy descriptor systems with time-varying delay is studied. A linear quadratic cost function is considered as the performance index of the closed-loop system. Sufficient conditions for the existence of guaranteed cost controllers via state feedback are given in terms of linear matrix inequalities （LMIs）, and the design of an optimal guaranteed cost controller can be reduced to a convex optimization problem. It is shown that the designed controller not only guarantees the asymptotic stability of the closed-loop fuzzy descriptor delay system, but also provides an optimized upper bound of the guaranteed cost. At last, a numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller.

Return Contract of Supply Chain with Fuzzy Continuous Demand

In a two-stage supply chain composed of one supplier and one retailer,the supply chain coordination mechanism in a fuzzy continuous demand environment is researched.A positive triangular fuzzy number is used to model the external market demand.Using the method of fuzzy cut sets theory,both fuzzy decentralized and centralized decision-making processes are analyzed,and another model of fuzzy return contract is proposed to help coordinate such supply chain.It is shown that in fuzzy environment there exists a unique solution of the retailer＇s optimal order quantity,the double marginalization problem can be solved by providing different tactics for wholesale pricing and return pricing,and the fuzzy expected profit of each actor can be expected to improve in the return contract.Finally,a numerical example is given to illustrate the models and the solution-seeking process.

Combined heuristics for determining order quantity under time-varying demands

The time-varying demands for a certain period are often assumed to be less than the basic economic order quantity （EOQ） so that total replenishment quantity rather than economic order quantity is normally considered by most of the heuristics. This acticle focuses on a combined heuristics method for determining order quantity under generalized time-varying demands. The independent policy （IP）, abnormal independent policy （AIP） and dependent policies are studied and compared. Using the concepts of normal/abnormal periods and the properties of dependent policies, a dependent policy-based heuristics （DPH） is proposed for solving the order quantity problems with a kind of time-varying demands pattern under which the first period is normal. By merging the Silver-Meal （S-M） heuristics and the dependent policy-based heuristics （DPH）, a combined heuristics （DPH/S-M） is developed for solving order quantity problems with generalized time-varying demands. The experimentation shows that （1） for the problem with one normal period, no matter which position the normal period stands, the DPH/S-M could not guarantee better than the S-M heuristics, however it is superior to the S-M heuristics in the case that the demands in the abnormal periods are in descending order, and （2） The DPH/S-M is superior to the S-M heuristics for problems with more than one normal period, and the more the number of normal periods, the greater the improvements.

Fuzzy Inventory Model with Variable Production and Selling Price Dependent Demand under Inflation for Deteriorating Items

The main purpose of this paper is to develop an inventory model under fuzzy approach by considering the effect of inflation and time value of money, to determine the optimal time period for inventory cycle and minimum total average costs. The model is integrated production inventory model developed where;the Demand has a direct linear impact on production rate. The model can be divided into four stages. In the first two stages with original production rate and subsequent change in production rate, inventory level rises. Third stage is time after the accumulation of inventory and before the deterioration starts, where demand which selling price dependent is depreciating the inventory level, while in the fourth stage deterioration occurs, which is considered to follow two parameter Weibull distribution. The back-order is not considered. Hexagonal fuzzy numbers are used to derive optimum solution and defuzzification by graded mean integration representation method. A numerical example is given to demonstrate the applicability of the purposed model and sensitivity analysis is carried out to reveal the impact of change in parameter values.

Optimization method of urban rail train operational plan based on O-D time-varying demand

Purpose–Under the constraints of given passenger service level and coupling travel demand with train departure time,this study optimizes the train operational plan in an urban rail corridor to minimize the numbers of train trips and rolling stocks considering the time-varying demand of urban rail passenger flow.Design/methodology/approach–The authors optimize the train operational plan in a special network layout,i.e.an urban rail corridor with dead-end terminal yard,by decomposing it into two sub-problems:train timetable optimization and rolling stock circulation optimization.As for train timetable optimization,the authors propose a schedule-based passenger flow assignment method,construct the corresponding timetabling optimization model and design the bi-directional coordinated sequential optimization algorithm.For the optimization of rolling stock circulation,the authors construct the corresponding optimization assignment model and adopt the Hungary algorithm for solving the model.Findings–The case study shows that the train operational plan developed by the study’s approach meets requirements on the passenger service quality and reduces the operational cost to the maximum by minimizing the numbers of train trips and rolling stocks.Originality/value–The example verifies the efficiency of the model and algorithm.

A closed-loop Supply Chain Network Equilibrium Model with Fuzzy Demand under Production Capacity Constraints and Price Rigidities

A closed-loop supply chain network equilibrium problem is examined,which consists of mutual competitive manufacturers with production capacity constraints and retailers with fuzzy market demands,mutual competitive collectors as well as a binding price ceiling of the commodities.By utilizing the credibility measure of fuzzy event,variational inequality and Lagrange dual theory,the optimum behaviors of manufactures,retailers,collectors and consumers are described.Therefore,the supply chain network equilibrium model is established.Numerical examples were given to illustrate the impact of production capacity constraints and price ceiling on the network equilibrium pattern.The results show that the shortage of commodities in consumer market will be more serious,the wholesale price of product and purchase price of waste products rise,the profits of retailers decrease,the profits of manufacturers and collectors increase as the government gradually reduce the binding price ceiling on competitive markets,and the trend will be more obvious in the existence of production capacity constraints at same time.

不确定情景下考虑灾民感知的应急物资调度研究

为解决大规模突发灾害给人民带来的生理与心理痛楚问题,考虑模糊需求情景下灾区道路受损、物资相对短缺、灾区需求紧迫度差异等因素,同时考虑灾民有限理性下物资竞争心理,运用前景理论刻画灾民对物资分配、运抵时间的综合感知,以灾区运输时间感知满意度最大、物资分配感知损失最小、运输成本最小为目标构建应急物资调度多目标优化模型,设计改进灰狼优化算法(Grey Wolf Optimizer,GWO)求解,引入混沌反向学习、差分进化、非线性收敛等策略实现对GWO算法的改进,并以2008年四川地震案例数据展开分析验证,依据模糊逻辑加权法选择合适的应急调度方案。研究表明,该模型可合理衡量有限理性下灾民综合感知,改进算法能够得出更加公平高效的调度方案,有效解决了灾后模糊需求情景下应急物资调度问题。

基于农机智能管理平台的田间燃油配给策略

在农业规模化生产中,为保证作业效率,农机燃油配给往往需要在田间完成。然而,现有的田间燃油配给方式存在不安全、不及时、缺乏科学系统的配给决策,导致燃油配给效率低、配送成本高等问题。针对上述问题,该研究结合农机燃油需求特点,提出基于农机智能管理平台的农机田间燃油配给策略。首先,以农机智能管理平台的实时数据为基础,基于可信性理论建立农机田间燃油配给的两阶段数学模型:第一阶段预优化,根据平台数据建立具有模糊需求和模糊时间窗的多目标车辆路径规划模型,第二阶段根据实际生产中发生的动态事件更新相关信息,重新规划未配送订单的配送路径;其次,以总配送成本最低及总满意度最高为目标,结合改进遗传算法求解农机田间燃油配给模型。最后,应用嫩江农场的数据进行实证分析,并与农场当前的配送成本等指标进行对比,验证可行性及实用性。结果表明:基于农机智能管理平台实时数据构建的农机田间燃油配给策略可以在降低配送成本的同时,保证较高的订单平均满意度,即时效性,与当前生产方案相比,配送路径减少了14条,虽然满意度较实际稍低,为72.85%,但总配送成本较当前方案降低了93.38%。研究结果可为农机田间燃油配给的智能化管理提供科学依据。

突发自然灾害下的两阶段多目标应急物资中心选址问题研究

针对突发灾害情况下需求不确定的选址问题,构建最小化经济成本和最大化满意度的应急物资中心选址模型。首先,将选址问题划分为初期和后期的两阶段问题;其次,对物资需求量进行模糊需求预测,并使用可信性模糊机会约束规划将其转化为确定型约束;最后,设计改进灰狼优化(Improved Grey Wolf Optimization,IGWO)算法求解问题。IGWO算法采用佳点集初始化种群,对收敛因子进行余弦规律的非线性变化,并在粒子群优化(Particle Swarm Optimization,PSO)算法个体记忆的启发下,设计个体位置更新公式。在用10个标准函数验证IGWO有效性的基础上,通过湖北省新型冠状病毒应急物资中心选址案例分析,表明IGWO算法能有效求解多目标选址问题,在提高满意度的基础上降低经济成本,且多阶段模型在平衡满意度和经济成本方面结果更优。

动态用户需求下的产品数据体系设计与应用

目的为满足动态化用户对产品数据管理的需求,解决现有产品数据管理效率低下,底层数据杂乱,数据管理平台技术受限的问题,对现有产品数据体系进行设计,并开发产品数据平台,保证产品数据的规范化与个性化要求。方法从动态客户需求的视角出发,提出结合模糊Kano模型和模糊层次分析法(FAHP)的产品数据体系设计方法,首先通过Voice of the Customer(VoC)法对用户需求进行收集与分析;其次通过模糊Kano模型对收集到的用户需求进行因子分类,找到关键需求因子;再次过FAHP模型对关键需求因子进行重要性排序;最后通过聚类分析需求关联性对因子进行修正。结果得到产品数据体系的底层设计依据,应用于技术数据管理平台设计中,以效率指标量化评价设计成果。结论该方法能够显著提升数据清洁度与有效性,满足多方用户对于产品数据的管理需求,同时也为产品数据管理平台国产化的建设提供一种可行且可靠的思路。

混合超启发式算法求解复杂两级车辆路径问题

针对模糊需求下的绿色两级车辆路径问题,以最小化车辆运营成本和油耗成本之和为优化目标,提出一种混合超启发式算法进行求解.首先,考虑两级问题解空间庞大且相互耦合,设计一种聚类分解策略将该问题分解为多个子问题,以合理缩小问题搜索空间;然后,提出增强超启发式分布估计算法(enhanced hyperheuristic estimation of distribution algorithm,EHHEDA)对各个子问题进行求解,进而获得原问题的解.EHHEDA基于超启发式算法框架,在高层策略域设计一种基于三维概率模型的分布估计算法,动态确定由底层操作域中各搜索算子所组成的排列(即高层个体),可有效控制和引导整个算法的搜索行为;同时,在底层操作域设计10种有效邻域搜索算子,并加入重升温操作的模拟退火机制作为问题解(即底层个体)的接受准则,有利于在问题解空间中执行深入搜索.仿真实验结果表明,所提出的算法在大多数测试集上优于近年来用于求解类似问题的算法,验证了所提出算法的有效性.

基于模糊认知图和LSTM混合方法的H公司物流需求预测研究

鉴于传统的预测方法难以有效满足需求预测的非线性关系以及预测的精确度,文章提出了一种FCM-LSTM组合模型预测方法,首先对影响物流需求的关键因素进行模糊状态求解,然后对求解得到的各分量以及物流公司的历史货运量展开LSTM神经网络迭代预测,最终结合实例构建评价模型以评估算法的预测效果。该预测方法探讨了经济指标、季节性模式和假日对物流需求的重大影响,强调了将认知与神经网络模型结合应用的潜力,为控制物流行业的复杂动态提供了参考意见。结果表明,该组合模型可以提高预测精准度,具有有效性和可行性,为解决物流需求预测提供了可行的参考方法。

基于时间序列算法的能源电力需求自动预测模型

为提高能源电力需求预测准确性,提出基于时间序列算法的能源电力需求自动预测模型。选取原始时间序列中拥有近似模糊值的数据,通过模糊熵算法对其进行处理;引入灰色系统理论消除电力需求时间序列中的残差值,获取GM(1,1)模型,由此构建ARMA(p,q)模型;将两种模型相结合,建立GM(1,1)-ARMA(p,q)组合预测模型,完成能源电力需求的自动预测。实验结果表明,所提方法的预测效果好,相对误差值、MAPE值和MSE值小。

基于供需不确定的供应链Fuzzy规划模型分析

伴随着供应链管理思想的普及应用,对供应链不确定性的管理已成为能否成功推行该思想的关键。建立了一个基于市场供应和需求不确定的二级供应链模糊规划模型,以帮助决策者根据不同的不确定性程度做出最优决策。模型用Fuzzy集表示供应链中供需的不确定性,比传统的不确定性表示方法更符合供应链实际运作情形,同时模型通过转化可利用线性规划方法求解,避免了因不确定性因素个数增加而使得模型规模剧增,进而影响模型求解的问题。

H_∞Control of Uncertain Fuzzy Networked Control Systems with State Quantization

The problem of robust H∞ control for uncertain discrete-time Takagi and Sugeno (T-S) fuzzy networked control systems (NCSs) is investigated in this paper subject to state quantization. By taking into consideration network induced delays and packet dropouts, an improved model of network-based control is developed. A less conservative delay-dependent stability condition for the closed NCSs is derived by employing a fuzzy Lyapunov-Krasovskii functional. Robust H∞ fuzzy controller is constructed that guarantee asymptotic stabilization of the NCSs and expressed in LMI-based conditions. A numerical example illustrates the effectiveness of the developed technique.