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Optimising design and operation of sewage source heat pump: techno-economic and environmental assessment

ENVIRONMENTAL TECHNOLOGY 2025年第8期46卷 1292-1306页

作者： Gu, Dungang Huang, Xionghu Lu, Jiaqi Lou, Yuhang Li, Guanghui Zhang, Nan Shanghai Univ Engn Sci Sch Chem & Chem Engn Petr & Chem Ind Key Lab Silicon Carbide Ceram Memb Shanghai 201620 Peoples R China Univ Manchester Ctr Proc Integrat Dept Chem Engn & Analyt Sci Manchester M13 9PL England

Heat pump can be used to recover abundant thermal energy contained in the discharge of municipal wastewater treatment plants. While there are some design standards for common heat pump systems, the design of a sewage source heat pump (SSHP) system is still often based on a fixed heat load and neglects the interdependencies between the equipment sizing and operating parameters. To address the issue that previous design methods have not balanced investment and operational costs well from a global optimisation perspective, this work formulates the simultaneous optimisation of SSHP design and operation as a non-linear programming problem. The proposed model features the consideration of multiple working conditions caused by the impact of ambient temperature variation on the heat load of the SSHP system. The feasibility and potential benefits of the optimised SSHP system are also evaluated by incorporating techno-economic performances and environmental impact analyses into the mathematical framework. A case study is carried out to demonstrate the effectiveness of the proposed methodology. The results show that the total annual cost of the optimally designed and operated SSHP in Harbin could be 9% lower than in Beijing and 39% lower than in Shanghai, suggesting that constructing and running the SSHP system in severe cold regions with great heating demands might be more economical than in less cold regions. The CO2, SO2, and NOx emissions of the SSHP could be approximately 50% less than that of coal-fired boiler heating, and 80% less than that of direct electric heating with coal-fired electricity. [GRAPHICS] .

关键词： Sewage source heat pump non-linear programming design optimisation operation optimisation system modeling

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A non-linear MULTI-CRITERIA programming APPROACH FOR DETERMINING COUNTY EMERGENCY MEDICAL-SERVICE AMBULANCE ALLOCATIONS

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JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY 1989年第5期40卷 423-432页

作者： BAKER, JR CLAYTON, ER TAYLOR, BW VIRGINIA POLYTECH INST & STATE UNIV BLACKSBURGVA 24061 USA

In this paper an integer, non-linear mathematical programming model is developed to allocate emergency medical service (EMS) ambulances to sectors within a county in order to meet a government-mandated response-time criterion. However, in addition to the response-time criterion, the model also reflects criteria for budget and work-load, and, since ambulance response is best described within the context of a queueing system, several of the model system constraints are based on queueing formulations adapted to a mathematical programming format. The model is developed and demonstrated within the context of an example of a county encompassing rural, urban and mixed sectors which exhibit different demand and geographic characteristics. The example model is solved using an integer, non-linear goal-programming technique. The solution results provide ambulance allocations to sectors within the county, the probability of an ambulance exceeding a prespecified response time, and the utilization factor for ambulances per sector.

关键词： Ambulance Allocation Emergency Medical Service Goals Multiple Criteria non-linear programming Response Time

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Prediction of Uncertain Parameters of a Sustainable Supply Chain Using an Artificial Intelligence Approach

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Operations Research Forum 2025年第1期6卷 1-25页

作者： Nazari, Massoumeh Dehghan Nayeri, Mahmoud Fathi Hafshjani, Kiamars Department of Industrial Management Islamic Azad University Tehran South Branch Management Faculty Damavand Tehran Tehran *** Iran Department of Industrial Management Tarbiat Modares University Management and Economics Faculty Jalale El Ahmad Nasr Bridge Tehran Tehran 14115111 Iran

Automotive companies have a stable supply chain due to extensive vehicle production and global supply networks. The purpose of sustainable supply chain intelligence in this study is to minimize system costs and environmental pollution. This study is descriptive-analytical, and transportation costs, which have a significant role in environmental pollution, were considered the main parameter, using time series forecasting by Narnet. The results showed significant differences between the predicted shipping costs from the supplier to the factory, from the factory to the distributor, from the distributor to the customer, from the customer to recycling, and from recycling back to the factory. The findings show artificial intelligence in the sustainable automotive supply chain can improve efficiency, reduce resource waste, enhance risk management, and maintain the sustainability of the supply chain. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

关键词： Artificial intelligence non-linear programming Sustainable supply chain Uncertainty

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Some properties and applications of (v, w)-convex functions

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OPSEARCH 2025年 1-15页

作者： Akhter, Ehtesham Ali, Musavvir Aligarh Muslim Univ Dept Math Aligarh 202002 Uttar Pradesh India

This paper builds on the work of Bessem Samet by introducing new results in the context of (v, w)-convex functions, both in general and for differentiable cases. The study extends the definition of (v, w)-convex functions from Euclidean space to Riemannian manifolds, leading to the concept of geodesic (v, w)-convex functions. Several theorems are proven, including results that show the preservation of (v, w)-convexity under summation and positive scalar multiplication of functions. Additionally, the paper presents novel findings on (v, w)-convexity in Riemannian manifolds, providing a theoretical foundation for future exploration. The developed theorems are also applied to nonlinear programming, offering a method to find optimal solutions for differentiable functions within this framework. This research contributes to both the theory of convexity and its applications in optimization problems on Riemannian manifolds.

关键词： (v w)-convex functions Geodesic (v w)-convex non-linear programming Optimization

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Reviewing extensions and solution methods of the planar Weber single facility location problem

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COMPUTERS & OPERATIONS RESEARCH 2025年 173卷

作者： Church, Richard L. Drezner, Zvi Plastria, Frank Tamir, Arie Univ Calif Santa Barbara Dept Geog Santa Barbara CA 93106 USA Calif State Univ Fullerton Coll Business & Econ Fullerton CA 92834 USA Vrije Univ Brussel BUTO Dept Business Technol & Operat Brussels Belgium Tel Aviv Univ Sch Math Sci Tel Aviv Israel

One of the classic foundational constructs of Location Science was proposed by Alfred Weber in 1909. His construct involved finding the location for a single production facility which minimized the sum of weighted distances of transporting the needed raw materials from localized sources along with the sum of weighted distances in delivering the final product to one or more markets. The first objective of this paper is to review the major advancements in this simple classic single facility location problem and its variations. One can find in the literature a very large number of algorithms to solve the standard Weber problem. Some are iterative and others are finite even for geometric Euclidean and rectilinear spaces. Moreover, some schemes are efficient (theoretically) and others are practically quite fast. The second goal of this paper is to show that many extensions of the standard Weber problem can be solved by solving a polynomial number of standard Weber problems. This unifying result implies, in particular, that all these extensions are polynomially solvable since the standard Weber problem can be solved in polynomial time. In addition, with this unifying approach we solve some important planar non-convex Euclidean location problems in polynomial time.

关键词： Location analysis Weber problem Solution algorithm non-linear programming

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A linear programming Priority Method for a Fuzzy Transportation Problem with non-linear Constraints - The Case of a General Contractor Company

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FUZZY INFORMATION AND ENGINEERING 2011年第2期3卷 193-208页

作者： Barough, Hossein Abdollahnejad Payame Noor Univ Dept Ind Engn Tehran Iran

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 linear programming 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.

关键词： Fuzzy transportation non-linear programming Multi-objective programming Fuzzy linear programming Stochastic programming

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A combined approach of the MLPG method and nonlinear programming for lower-bound limit analysis

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CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 2008年第1期28卷 39-55页

作者： Chen, S. S. Liu, Y. H. Cen, Z. Z. Tsinghua Univ Dept Engn Mech Beijing 100084 Peoples R China

In most engineering applications, solutions derived from the lower-bound theorem of plastic limit analysis are particularly valuable because they provide a safe estimate of the load that will cause plastic collapse. A solution procedure based on the meshless local Petrov-Galerkin (MLPG) method is proposed for lower-bound limit analysis. This is the first work for lower-bound limit analysis by this meshless local weak form method. In the construction of trial functions, the natural neighbour interpolation (NNI) is employed to simplify the treatment of the essential boundary conditions. The discretized limit analysis problem is solved numerically with the reduced-basis technique. The self-equilibrium stress field is constructed by a linear combination of several self-equilibrium stress basis vectors, which can be computed by performing an equilibrium iteration procedure during elasto-plastic incremental analysis. The non-linear programming sub-problems are solved directly by the Complex method and the limit load multiplier converges monotonically to the lower-bound of real solution. Several numerical examples are given to verify the accuracy and reliability of the proposed method for lower-bound limit analysis.

关键词： limit analysis MLPG method natural neighbour interpolation self-equilibrium stress non-linear programming

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Solution for short-term hydrothermal scheduling with a logarithmic size mixed-integer linear programming formulation

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ENERGY 2019年 171卷 770-784页

作者： Jian, Jinbao Pan, Shanshan Yang, Linfeng Guangxi Univ Coll Elect Engn Nanning 530004 Peoples R China Guangxi Univ Nationalities Coll Sci Nanning 530006 Peoples R China Guangxi Univ Coll Comp Elect & Informat Nanning 530004 Peoples R China

Short-term hydrothermal scheduling issue is usually hard to tackle on account of its highly non-convex and non-differentiable characteristics. A popular strategy for handling these difficulties is to reformulate the issue by various linearization techniques. However, in this process, a fairly large number of continuous/binary variables and constraints will be introduced, which may result in a heavy computational burden. In this study, a logarithmic size mixed-integer linear programming formulation is presented for this issue, that is, only a logarithmic size of binary variables and constraints will be required to piecewise linearize the nonlinear functions. Based on such a formulation, a global optimum is therefore can be solved efficiently. To remove the linearization errors and cope with the network loss, a derivable nonlinear programming formulation is derived. By optimizing this formulation via the powerful interior point method, where the previous global solution of mixed-integer linear programming formulation is used as the starting point, a promising feasible solution is consequently attained. Numerical results show that the presented logarithmic size mixed-integer linear programming formulation is more efficient than the generalized one and when it is incorporated into the solution procedure, the proposed methodology is competitive with currently state-of-the-art approaches. (C) 2019 Elsevier Ltd. All rights reserved.

关键词： Short-term hydrothermal scheduling Piecewise linearize Logarithmic size Mixed-integer linear programming non-linear programming

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Penalized semidefinite programming for quadratically-constrained quadratic optimization

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JOURNAL OF GLOBAL OPTIMIZATION 2020年第3期78卷 423-451页

作者： Madani, Ramtin Kheirandishfard, Mohsen Lavaei, Javad Atamturk, Alper Univ Texas Arlington 517 Nedderman Hall Arlington TX 76019 USA Univ Calif Berkeley 4175 Etcheverry Hall Berkeley CA 94720 USA

In this paper, we give a new penalized semidefinite programming approach for non-convex quadratically-constrained quadratic programs (QCQPs). We incorporate penalty terms into the objective of convex relaxations in order to retrieve feasible and near-optimal solutions for non-convex QCQPs. We introduce a generalized linear independence constraint qualification (GLICQ) criterion and prove that any GLICQ regular point that is sufficiently close to the feasible set can be used to construct an appropriate penalty term and recover a feasible solution. Inspired by these results, we develop a heuristic sequential procedure that preserves feasibility and aims to improve the objective value at each iteration. Numerical experiments on large-scale system identification problems as well as benchmark instances from the library of quadratic programming demonstrate the ability of the proposed penalized semidefinite programs in finding near-optimal solutions for non-convex QCQP.

关键词： Semidefinite programming non-convex optimization non-linear programming Convex relaxation

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linear, INTEGER, SEPARABLE AND FUZZY-programming PROBLEMS - A UNIFIED APPROACH TOWARDS REFORMULATION

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JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY 1988年第2期39卷 161-171页

作者： DARBYDOWMAN, K LUCAS, C MITRA, G YADEGAR, J BRUNEL UNIV UXBRIDGE UB8 3PHMIDDXENGLAND UNIV LONDON QUEEN MARY COLL LONDON E1 4NSENGLAND

For mathematical programming (MP) to have greater impact as a decision tool, MP software systems must offer suitable support in terms of model communication and modelling techniques. In this paper, modelling techniques that allow logical restrictions to be modelled in integer programming terms are described, and their implications discussed. In addition, it is illustrated that many classes of non-linearities which are not variable separable may be, after suitable algebraic manipulation, put in a variable separable form. The methods of reformulating the fuzzy linear programming problem as a max-min problem is also introduced. It is shown that analysis of bounds plays a key role in the following four important contexts: model reduction, reformulation of logical restrictions as 0-1 mixed integer programmes, reformulation of non-linear programmes as variable separable programmes and reformulation of fuzzy linear programmes. It is observed that, as well as incorporating an interface between the modeller and the optimizer, there is a need to make available to the modeller software facilities which support the model reformulation techniques described here.

关键词： fuzzy sets integer programming linear programming modelling non-linear programming separable programming

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