{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T01:07:37Z","timestamp":1760404057358,"version":"build-2065373602"},"reference-count":63,"publisher":"ASME International","issue":"12","license":[{"start":{"date-parts":[[2024,9,24]],"date-time":"2024-09-24T00:00:00Z","timestamp":1727136000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.asme.org\/publications-submissions\/publishing-information\/legal-policies"}],"funder":[{"DOI":"10.13039\/100006754","name":"U.S. Army Research Laboratory","doi-asserted-by":"publisher","award":["W911NF-18-2-0162"],"award-info":[{"award-number":["W911NF-18-2-0162"]}],"id":[{"id":"10.13039\/100006754","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2024,12,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>When designed effectively, support structures play a critical role in quickly dissipating heat and mitigate part distortion without driving up excessive costs within the additive manufacturing metals technique of Laser Powder Bed Fusion (LPBF). Lattices, composed of individual unit cells strategically arranged to achieve a desired function, are a promising solution as a support structure. Prior research utilizing gradient-based optimizers to design lattice support structures for heat dissipation poses challenges regarding limited design domain exploration and non-differentiable objective functions. Non-gradient-based optimizers are an alternative solution but existing optimizers, such as traditional simulated annealing (SA), are known to be more computationally expensive compared to gradient-based optimizers, rendering it challenging to optimize the heat dissipation of lattice support structures. This paper introduces a modified SA-based method to design lattice structures for LPBF by efficiently optimizing the distribution of a library composed of various types of unit cells, thereby creating hybrid lattice support structures (hLSS). A stage-dependent annealing swapping strategy is created and integrated into the method for efficient design domain exploration. Homogenization approximation and equivalent static loading are also performed in each iteration step to make the design optimization process computationally tractable. Two case studies validate the method by designing hLSS for a cantilever beam and a bracket. The results of these case studies show the method's ability to achieve material cost savings of up to 61% and post-processing cost savings of up to 62% when compared to a solid support domain while satisfying manufacturing constraints.<\/jats:p>","DOI":"10.1115\/1.4066660","type":"journal-article","created":{"date-parts":[[2024,9,24]],"date-time":"2024-09-24T12:18:12Z","timestamp":1727180292000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":1,"title":["A Modified Simulated Annealing-Based Method for Hybrid Lattice Support Structure Design in LPBF Additive Manufacturing"],"prefix":"10.1115","volume":"24","author":[{"given":"Lisha","family":"White","sequence":"first","affiliation":[{"name":"Carnegie Mellon University Department of Mechanical Engineering, , Pittsburgh, PA 15213"}]},{"given":"Xuan","family":"Liang","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University Department of Mechanical Engineering, , Pittsburgh, PA 15213"}]},{"given":"Guanglu","family":"Zhang","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University Department of Mechanical Engineering, , Pittsburgh, PA 15213"}]},{"given":"Jonathan","family":"Cagan","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University Department of Mechanical Engineering, , Pittsburgh, PA 15213"}]},{"given":"Yongjie Jessica","family":"Zhang","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University Department of Mechanical Engineering, , Pittsburgh, PA 15213"}]}],"member":"33","published-online":{"date-parts":[[2024,10,14]]},"reference":[{"issue":"3","key":"2025101320023883000_CIT0001","doi-asserted-by":"publisher","first-page":"1213","DOI":"10.3390\/app11031213","article-title":"Advances in Metal Additive Manufacturing: A Review of Common Processes, Industrial Applications, and Current Challenges","volume":"11","author":"Vafadar","year":"2021","journal-title":"Appl. Sci."},{"issue":"9","key":"2025101320023883000_CIT0002","doi-asserted-by":"publisher","first-page":"3489","DOI":"10.1007\/s00170-019-04085-3","article-title":"A State-of-the-Art Review on Types, Design, Optimization, and Additive Manufacturing of Cellular Structures","volume":"104","author":"Nazir","year":"2019","journal-title":"Int. J. Adv. Manuf. Technol."},{"issue":"10","key":"2025101320023883000_CIT0003","doi-asserted-by":"publisher","first-page":"1869","DOI":"10.1108\/RPJ-02-2022-0064","article-title":"Lightweight Design of an AlSi10Mg Aviation Control Stick Additively Manufactured by Laser Powder Bed Fusion","volume":"28","author":"Wang","year":"2022","journal-title":"Rapid Prototyp. J."},{"key":"2025101320023883000_CIT0004","doi-asserted-by":"publisher","first-page":"100771","DOI":"10.1016\/j.addma.2019.06.022","article-title":"Experimental Validation of Thermo-Mechanical Part-Scale Modeling for Laser Powder Bed Fusion Processes","volume":"29","author":"Gouge","year":"2019","journal-title":"Addit. Manuf."},{"issue":"4","key":"2025101320023883000_CIT0005","doi-asserted-by":"publisher","first-page":"044005","DOI":"10.1088\/1361-6501\/aa5c4f","article-title":"Process Defects and In Situ Monitoring Methods in Metal Powder Bed Fusion: A Review","volume":"28","author":"Grasso","year":"2017","journal-title":"Meas. Sci. Technol."},{"key":"2025101320023883000_CIT0006","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.cad.2016.08.006","article-title":"Support Structure Constrained Topology Optimization for Additive Manufacturing","volume":"81","author":"Mirzendehdel","year":"2016","journal-title":"Comput.-Aided Des."},{"key":"2025101320023883000_CIT0007","doi-asserted-by":"publisher","first-page":"753","DOI":"10.1016\/j.phpro.2012.10.097","article-title":"Detection of Process Failures in Layerwise Laser Melting With Optical Process Monitoring","volume":"39","author":"Craeghs","year":"2012","journal-title":"Phys. Procedia"},{"key":"2025101320023883000_CIT0008","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/j.jmatprotec.2017.06.044","article-title":"Improving Additive Manufacturing Processability of Hard-to-Process Overhanging Structure by Selective Laser Melting","volume":"250","author":"Chen","year":"2017","journal-title":"J. Mater. Process. Technol."},{"key":"2025101320023883000_CIT0009","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1016\/j.addma.2017.08.014","article-title":"Efficient Predictive Model of Part Distortion and Residual Stress in Selective Laser Melting","volume":"17","author":"Li","year":"2017","journal-title":"Addit. Manuf."},{"issue":"1","key":"2025101320023883000_CIT0010","doi-asserted-by":"publisher","first-page":"012002","DOI":"10.1115\/1.4055734","article-title":"Unit-Based Design of Cross-Flow Heat Exchangers for LPBF Additive Manufacturing","volume":"145","author":"Liang","year":"2023","journal-title":"ASME J. Mech. Des."},{"key":"2025101320023883000_CIT0011","doi-asserted-by":"publisher","first-page":"1464420720981668","DOI":"10.1177\/146442072098166","article-title":"Investigation of Support Structure Parameters and Their Affects During Additive Manufacturing of Ti6Al4V Alloy via Electron Beam Melting","author":"Ameen","year":"2020","journal-title":"Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl."},{"key":"2025101320023883000_CIT0012","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1016\/j.addma.2019.03.001","article-title":"On Utilizing Topology Optimization to Design Support Structure to Prevent Residual Stress Induced Build Failure in Laser Powder Bed Metal Additive Manufacturing","volume":"27","author":"Cheng","year":"2019","journal-title":"Addit. Manuf."},{"key":"2025101320023883000_CIT0013","doi-asserted-by":"publisher","first-page":"102627","DOI":"10.1016\/j.addma.2022.102627","article-title":"Design Optimization of Thermally Conductive Support Structure for Laser Powder-Bed Fusion Process with Part-Scale Thermal History","volume":"51","author":"Lee","year":"2022","journal-title":"Addit. Manuf."},{"key":"2025101320023883000_CIT0014","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1016\/j.procir.2020.09.048","article-title":"Benchmark Parts for the Evaluation of Optimized Support Structures in Laser Powder Bed Fusion of Metals","volume":"94","author":"Bartsch","year":"2020","journal-title":"Procedia CIRP"},{"issue":"2","key":"2025101320023883000_CIT0015","doi-asserted-by":"publisher","first-page":"024002","DOI":"10.1088\/2051-672X\/3\/2\/024002","article-title":"Surface Texture Measurement for Additive Manufacturing","volume":"3","author":"Triantaphyllou","year":"2015","journal-title":"Surf. Topogr.: Metrol. Prop."},{"key":"2025101320023883000_CIT0016","first-page":"249","article-title":"Design and Additive Manufacturing of Cellular Lattice Structures","author":"Hao","year":"2011"},{"issue":"7\u20138","key":"2025101320023883000_CIT0017","doi-asserted-by":"publisher","first-page":"1841","DOI":"10.1007\/s00170-020-05741-9","article-title":"Topology Optimization of Lattice Support Structures for Heat Conduction in Selective Laser Melting","volume":"109","author":"Huang","year":"2020","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"2025101320023883000_CIT0018","doi-asserted-by":"publisher","DOI":"10.6028\/NIST.SP.1176","article-title":"Costs and Cost Effectiveness of Additive Manufacturing: A Literature Review and Discussion","volume-title":"NIST Special Publication","author":"Thomas","year":"2014"},{"key":"2025101320023883000_CIT0019","doi-asserted-by":"publisher","first-page":"113717","DOI":"10.1016\/j.cma.2021.113717","article-title":"Topology Optimization of Phononic-Like Structures Using Experimental Material Interpolation Model for Additive Manufactured Lattice Infills","volume":"377","author":"Liang","year":"2021","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"2025101320023883000_CIT0020","doi-asserted-by":"publisher","first-page":"103708","DOI":"10.1016\/j.finel.2021.103708","article-title":"Topology Optimization of the Support Structure for Heat Dissipation in Additive Manufacturing","volume":"203","author":"Miki","year":"2022","journal-title":"Finite Elem. Anal. Des."},{"key":"2025101320023883000_CIT0021","first-page":"17","article-title":"Heat Conduction and Geometry Topology Optimization of Support Structure in Laser-Based Additive Manufacturing","author":"Malekipour","year":"2018"},{"issue":"4","key":"2025101320023883000_CIT0022","doi-asserted-by":"publisher","first-page":"762","DOI":"10.1089\/3dp.2021.0268","article-title":"Support Removal on Thin-Walled Parts Produced by Laser Powder Bed Fusion","volume":"10","author":"Cao","year":"2022","journal-title":"3D Print Addit. Manuf."},{"key":"2025101320023883000_CIT0023","doi-asserted-by":"publisher","first-page":"841","DOI":"10.1016\/j.applthermaleng.2016.10.134","article-title":"A Review About the Engineering Design of Optimal Heat Transfer Systems Using Topology Optimization","volume":"112","author":"Dbouk","year":"2017","journal-title":"Appl. Therm. Eng."},{"key":"2025101320023883000_CIT0024","first-page":"903","article-title":"Discrete Optimization of Radiant Heaters With Simulated Annealing","author":"Porter","year":"2005"},{"issue":"8","key":"2025101320023883000_CIT0025","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1007\/s004190050242","article-title":"Some Advantages of Stochastic Methods in Multicriteria Optimization of Multibody Systems","volume":"69","author":"Eberhard","year":"1999","journal-title":"Arch. Appl. Mech."},{"key":"2025101320023883000_CIT0026","doi-asserted-by":"publisher","first-page":"408","DOI":"10.1016\/j.cma.2017.12.024","article-title":"Coupling Lattice Structure Topology Optimization with Design-Dependent Feature Evolution for Additive Manufactured Heat Conduction Design","volume":"332","author":"Cheng","year":"2018","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"2025101320023883000_CIT0027","doi-asserted-by":"publisher","first-page":"114380","DOI":"10.1016\/j.cma.2021.114380","article-title":"Residual Stress Constrained Self-Support Topology Optimization for Metal Additive Manufacturing","volume":"389","author":"Xu","year":"2022","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"5\u20136","key":"2025101320023883000_CIT0028","doi-asserted-by":"publisher","first-page":"1597","DOI":"10.1007\/s00170-021-08010-5","article-title":"Effect of Supporting Structure Design on Residual Stresses in Selective Laser Melting of AlSi10Mg","volume":"118","author":"Xiaohui","year":"2022","journal-title":"Int. J. Adv. Manuf. Technol."},{"issue":"6","key":"2025101320023883000_CIT0029","doi-asserted-by":"publisher","first-page":"2291","DOI":"10.1007\/s00158-020-02512-8","article-title":"Topology Optimization of Support Structure Layout in Metal-Based Additive Manufacturing Accounting for Thermal Deformations","volume":"61","author":"Pellens","year":"2020","journal-title":"Struct. Multidiscip. Optim."},{"issue":"4","key":"2025101320023883000_CIT0030","doi-asserted-by":"publisher","first-page":"64","DOI":"10.3390\/jmmp2040064","article-title":"Support Structures for Additive Manufacturing: A Review","volume":"2","author":"Jiang","year":"2018","journal-title":"J. Manuf. Mater. Process."},{"key":"2025101320023883000_CIT0031","doi-asserted-by":"publisher","first-page":"111702","DOI":"10.1016\/j.ijsolstr.2022.111702","article-title":"Inverse Metamaterial Design Combining Genetic Algorithms With Asymptotic Homogenization Schemes","volume":"250","author":"Dos Reis","year":"2022","journal-title":"Int. J. Solids Struct."},{"key":"2025101320023883000_CIT0032","doi-asserted-by":"publisher","first-page":"1043","DOI":"10.1016\/j.promfg.2016.08.072","article-title":"Optimum Support Structure Generation for Additive Manufacturing Using Unit Cell Structures and Support Removal Constraint","volume":"5","author":"Vaidya","year":"2016","journal-title":"Procedia Manuf."},{"issue":"1","key":"2025101320023883000_CIT0033","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/s00158-017-1743-z","article-title":"Support Structure Design in Additive Manufacturing Based on Topology Optimization","volume":"57","author":"Kuo","year":"2018","journal-title":"Struct. Multidiscip. Optim."},{"issue":"4598","key":"2025101320023883000_CIT0034","doi-asserted-by":"publisher","first-page":"671","DOI":"10.1126\/science.220.4598.671","article-title":"Optimization by Simulated Annealing","volume":"220","author":"Kirkpatrick","year":"1983","journal-title":"Science"},{"key":"2025101320023883000_CIT0035","first-page":"1","article-title":"Simulated Annealing Based Artificial Neural Network For Real Time Dispatching","author":"Chakravorty","year":"2023"},{"issue":"1","key":"2025101320023883000_CIT0036","doi-asserted-by":"publisher","first-page":"547","DOI":"10.32604\/cmc.2023.036025","article-title":"Imbalanced Data Classification Using SVM Based on Improved Simulated Annealing Featuring Synthetic Data Generation and Reduction","volume":"75","author":"Hussein","year":"2023","journal-title":"Comput. Mater. Contin."},{"key":"2025101320023883000_CIT0037","doi-asserted-by":"publisher","first-page":"108829","DOI":"10.1016\/j.ijepes.2022.108829","article-title":"Distribution Network Reconfiguration and Reactive Power Compensation Using a Hybrid Simulated Annealing \u2013 Minimum Spanning Tree Algorithm","volume":"147","author":"Stojanovi\u0107","year":"2023","journal-title":"Int. J. Electr. Power Energy Syst."},{"issue":"2","key":"2025101320023883000_CIT0038","doi-asserted-by":"publisher","first-page":"913","DOI":"10.1051\/ro\/2022152","article-title":"A Hybrid Simulated Annealing Algorithm to Estimate a Better Upper Bound of the Minimal Total Cost of a Transportation Problem With Varying Demands and Supplies","volume":"57","author":"Juman","year":"2023","journal-title":"RAIRO-Oper. Res."},{"issue":"5","key":"2025101320023883000_CIT0039","doi-asserted-by":"publisher","first-page":"221","DOI":"10.3390\/systems11050221","article-title":"Hybridization of Particle Swarm Optimization With Variable Neighborhood Search and Simulated Annealing for Improved Handling of the Permutation Flow-Shop Scheduling Problem","volume":"11","author":"Hayat","year":"2023","journal-title":"Systems"},{"issue":"7","key":"2025101320023883000_CIT0040","doi-asserted-by":"publisher","first-page":"1891","DOI":"10.3390\/rs15071891","article-title":"Sequential Seismic Anisotropic Inversion for VTI Media With Simulated Annealing Algorithm Aided by Adaptive Setting of Optimization Parameters","volume":"15","author":"Luo","year":"2023","journal-title":"Remote Sens."},{"issue":"11","key":"2025101320023883000_CIT0041","doi-asserted-by":"publisher","first-page":"1776","DOI":"10.1109\/TCPMT.2021.3120383","article-title":"On the Objective Function for Topology Optimization of Heat Sinks","volume":"11","author":"Lee","year":"2021","journal-title":"IEEE Trans. Compon. Packag. Technol."},{"key":"2025101320023883000_CIT0042","doi-asserted-by":"crossref","DOI":"10.1201\/9781439882573","volume-title":"The Finite Element Method in Heat Transfer and Fluid Dynamics","author":"Reddy","year":"2010"},{"key":"2025101320023883000_CIT0043","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/978-3-319-55197-5_9","volume-title":"Optimization Methods in Structural Design","author":"Rothwell","year":"2017"},{"key":"2025101320023883000_CIT0044","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/j.cad.2018.12.007","article-title":"Genetic-Algorithm Based Framework for Lattice Support Structure Optimization in Additive Manufacturing","volume":"110","author":"Vaissier","year":"2019","journal-title":"Comput.-Aided Des."},{"issue":"5","key":"2025101320023883000_CIT0045","doi-asserted-by":"publisher","first-page":"1985","DOI":"10.1007\/s00158-017-1877-z","article-title":"Combined Optimization of Part Topology, Support Structure Layout and Build Orientation for Additive Manufacturing","volume":"57","author":"Langelaar","year":"2018","journal-title":"Struct. Multidiscip. Optim."},{"issue":"2","key":"2025101320023883000_CIT0046","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1089\/3dp.2022.0162","article-title":"Simulation-Based Support Generation for Laser Powder Bed Fusion Processes","volume":"10","author":"Boos","year":"2023","journal-title":"3D Print Addit. Manuf."},{"issue":"4","key":"2025101320023883000_CIT0047","doi-asserted-by":"publisher","first-page":"897","DOI":"10.1007\/s10999-020-09494-x","article-title":"Topology Optimization Parallel-Computing Framework Based on the Inherent Strain Method for Support Structure Design in Laser Powder-Bed Fusion Additive Manufacturing","volume":"16","author":"Zhang","year":"2020","journal-title":"Int. J. Mech. Mater. Des."},{"key":"2025101320023883000_CIT0048","doi-asserted-by":"publisher","first-page":"114095","DOI":"10.1016\/j.cma.2021.114095","article-title":"Topology Optimization for Additive Manufacturing With Distortion Constraints","volume":"386","author":"Misiun","year":"2021","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"2025101320023883000_CIT0049","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1007\/s00158-012-0880-7","article-title":"Stress Constrained Topology Optimization","volume":"48","author":"Holmberg","year":"2013","journal-title":"Struct. Multidiscip. Optim."},{"issue":"1","key":"2025101320023883000_CIT0050","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1016\/S0924-0136(99)00409-4","article-title":"Simulation of Metal Filling Progress During the Casting Process","volume":"100","author":"Sulaiman","year":"2000","journal-title":"J. Mater. Process. Technol."},{"key":"2025101320023883000_CIT0051","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1016\/j.addma.2018.08.029","article-title":"A Modified Method for Estimating Inherent Strains From Detailed Process Simulation for Fast Residual Distortion Prediction of Single-Walled Structures Fabricated by Directed Energy Deposition","volume":"23","author":"Liang","year":"2018","journal-title":"Addit. Manuf."},{"article-title":"A Novel Approach to Support Structures Optimized for Heat Dissipation in SLM by Combining Process Simulation With Topology Optimization","year":"2019","author":"Bartsch","key":"2025101320023883000_CIT0052"},{"key":"2025101320023883000_CIT0053","doi-asserted-by":"publisher","first-page":"102956","DOI":"10.1016\/j.addma.2022.102956","article-title":"Towards the Optimal Design of Support Structures for Laser Powder Bed Fusion-Based Metal Additive Manufacturing via Thermal Equivalent Static Loads","volume":"57","author":"Subedi","year":"2022","journal-title":"Addit. Manuf."},{"issue":"2","key":"2025101320023883000_CIT0054","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1115\/1.2804892","article-title":"Prediction of Residual Stresses in Welded T- and I-Joints Using Inherent Strains","volume":"118","author":"Yuan","year":"1996","journal-title":"J. Eng. Mater. Technol."},{"issue":"5\u20136","key":"2025101320023883000_CIT0055","doi-asserted-by":"publisher","first-page":"2649","DOI":"10.1007\/s00170-019-04753-4","article-title":"Review of Defects in Lattice Structures Manufactured by Powder Bed Fusion","volume":"106","author":"Echeta","year":"2020","journal-title":"Int. J. Adv. Manuf. Technol."},{"issue":"9","key":"2025101320023883000_CIT0056","doi-asserted-by":"publisher","first-page":"091705","DOI":"10.1115\/1.4046812","article-title":"Rapid Modeling and Design Optimization of Multi-Topology Lattice Structure Based on Unit-Cell Library","volume":"142","author":"Liu","year":"2020","journal-title":"J. Mech. Des."},{"issue":"6","key":"2025101320023883000_CIT0057","doi-asserted-by":"publisher","first-page":"707","DOI":"10.1016\/S0045-7949(98)00131-X","article-title":"A Review of Homogenization and Topology Optimization I \u2013 Homogenization Theory for Media With Periodic Structure","volume":"69","author":"Hassani","year":"1998","journal-title":"Comput. Struct."},{"key":"2025101320023883000_CIT0058","doi-asserted-by":"publisher","first-page":"334","DOI":"10.1016\/j.cma.2018.10.010","article-title":"Functionally Graded Lattice Structure Topology Optimization for the Design of Additive Manufactured Components With Stress Constraints","volume":"344","author":"Cheng","year":"2019","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"10","key":"2025101320023883000_CIT0059","doi-asserted-by":"publisher","first-page":"1143","DOI":"10.1057\/palgrave.jors.2602068","article-title":"A Survey of Simulated Annealing as a Tool for Single and Multiobjective Optimization","volume":"57","author":"Suman","year":"2006","journal-title":"J. Oper. Res. Soc."},{"issue":"1","key":"2025101320023883000_CIT0060","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/j.ejor.2004.03.035","article-title":"A Theoretical Study on the Behavior of Simulated Annealing Leading to a New Cooling Schedule","volume":"166","author":"Triki","year":"2005","journal-title":"Eur. J. Oper. Res."},{"issue":"7","key":"2025101320023883000_CIT0061","doi-asserted-by":"publisher","first-page":"1019","DOI":"10.1016\/j.jmatprotec.2013.01.020","article-title":"Advanced Lattice Support Structures for Metal Additive Manufacturing","volume":"213","author":"Hussein","year":"2013","journal-title":"J. Mater. Process. Technol."},{"key":"2025101320023883000_CIT0062","first-page":"1536","article-title":"Modified Simulated Annealing Hybrid Algorithm to Solve the Traveling Salesman Problem","author":"Chandom\u00ed-Castellanos","year":"2022"},{"key":"2025101320023883000_CIT0063","doi-asserted-by":"publisher","DOI":"10.1115\/DETC2023-114953","article-title":"Coupling Simulated Annealing and Homogenization to Design Thermally Conductive Hybrid Lattice Support Structures for LPBF","author":"White","year":"2023"}],"container-title":["Journal of Computing and Information Science in Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/24\/12\/121002\/7387455\/jcise_24_12_121002.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/24\/12\/121002\/7387455\/jcise_24_12_121002.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T00:02:42Z","timestamp":1760400162000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article\/24\/12\/121002\/1206689\/A-Modified-Simulated-Annealing-Based-Method-for"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,14]]},"references-count":63,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2024,12,1]]}},"URL":"https:\/\/doi.org\/10.1115\/1.4066660","relation":{},"ISSN":["1530-9827","1944-7078"],"issn-type":[{"type":"print","value":"1530-9827"},{"type":"electronic","value":"1944-7078"}],"subject":[],"published":{"date-parts":[[2024,10,14]]},"article-number":"121002"}}