2014/02/28 by Radoslav Harman, Harman, Radoslav, Alena Bachratá +3
Computer Science · Decision Sciences · #62K05 #90C59 #Advanced Multi-Objective Optimization Algorithms #Advanced Statistical Process Monitoring #Computation (stat.CO) #FOS: Computer and information sciences #Multi-Criteria Decision Making #Optimal Experimental Design Methods
paper · pdf · doi:10.48550/arxiv.1402.7263
openalex publication_date 2014/02/28 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28
The aim of this paper is twofold. First, we introduce "resource constraints"\nas a general concept that covers many practical restrictions on experimental\ndesign. Second, for computing efficient exact designs of experiments under any\ncombination of resource constraints, we propose a tabu search heuristic that\nuses some ideas of the Detmax procedure. To illustrate the scope and\nperformance of our heuristic, we computed D-efficient designs for 1) a block\nmodel with limits on the numbers of blocks and on the availability of\nexperimental material; 2) a quadratic regression model with simultaneous\nmarginal and cost constraints; 3) a non-linear regression model with\nsimultaneous direct and cost constraints. As we show, the proposed heuristic\ngenerates comparable or better results than algorithms specialized for\ncomputing optimal designs under less general constraints.\n