scholarly journals Peer Review #1 of "Exact integer linear programming solvers outperform simulated annealing for solving conservation planning problems (v0.1)"

2019 ◽  
Author(s):  
Richard Schuster ◽  
Jeffrey O. Hanson ◽  
Matt Strimas-Mackey ◽  
Joseph R. Bennett

AbstractThe resources available for conserving biodiversity are limited, and so protected areas need to be established in places that will achieve objectives for minimal cost. Two of the main algorithms for solving systematic conservation planning problems are Simulated Annealing (SA) and Integer linear programming (ILP). Using a case study in British Columbia, Canada, we compare the cost-effectiveness and processing times of SA versus ILP using both commercial and open-source algorithms. Plans for expanding protected area systems based on ILP algorithms were 12 to 30% cheaper than plans using SA. The best ILP solver we examined was on average 1071 times faster than the SA algorithm tested. The performance advantages of ILP solvers were also observed when we aimed for spatially compact solutions by including a boundary penalty. One practical advantage of using ILP over SA is that the analysis does not require calibration, saving even more time. Given the performance of ILP solvers, they can be used to generate conservation plans in real-time during stakeholder meetings and can facilitate rapid sensitivity analysis, and contribute to a more transparent, inclusive, and defensible decision-making process.


2016 ◽  
Vol 328 ◽  
pp. 14-22 ◽  
Author(s):  
Hawthorne L. Beyer ◽  
Yann Dujardin ◽  
Matthew E. Watts ◽  
Hugh P. Possingham

PeerJ ◽  
2020 ◽  
Vol 8 ◽  
pp. e9258
Author(s):  
Richard Schuster ◽  
Jeffrey O. Hanson ◽  
Matthew Strimas-Mackey ◽  
Joseph R. Bennett

The resources available for conserving biodiversity are limited, and so protected areas need to be established in places that will achieve objectives for minimal cost. Two of the main algorithms for solving systematic conservation planning problems are Simulated Annealing (SA) and exact integer linear programing (EILP) solvers. Using a case study in BC, Canada, we compare the cost-effectiveness and processing times of SA used in Marxan versus EILP using both commercial and open-source algorithms. Plans for expanding protected area systems based on EILP algorithms were 12–30% cheaper than plans using SA, due to EILP’s ability to find optimal solutions as opposed to approximations. The best EILP solver we examined was on average 1,071 times faster than the SA algorithm tested. The performance advantages of EILP solvers were also observed when we aimed for spatially compact solutions by including a boundary penalty. One practical advantage of using EILP over SA is that the analysis does not require calibration, saving even more time. Given the performance of EILP solvers, they can be used to generate conservation plans in real-time during stakeholder meetings and can facilitate rapid sensitivity analysis, and contribute to a more transparent, inclusive, and defensible decision-making process.


2000 ◽  
Vol 7 (3) ◽  
pp. 283-304
Author(s):  
Luis Gimeno Latre ◽  
Luiz Carlos Abreu Rodrigues ◽  
Maria Teresa Moreira Rodrigues

Neste artigo, considera-se o problema de programação da produção a curto prazo em plantas químicas multipropósito operando em batelada, em que a produção da planta é determinada pela demanda a ser atendida. Nesta situação, a capacidade da planta não está bem definida porque depende do mix de produção. Propõe-se uma fase de planejamento que tem como objetivo a determinação do número de bateladas de cada tarefa necessárias para atender a produção, bem como a respectiva janela de tempo de processamento. Estas janelas permitem a análise do carregamento dos processadores e da factibilidade do plano, ou seja, o atendimento das datas de entrega, através de ferramentas desenvolvidas na área de Busca Orientada por Restrições. Esta análise é feita para uma atribuição fixa de tarefas a processadores introduzida pelo usuário. O sistema fornece informações para orientar o usuário na criação de diferentes cenários de atribuição. O resultado da fase de planejamento é formado por um conjunto de janelas de processamento que diminuem sensivelmente a dimensão do problema de programação da produção, como é discutido para duas abordagens: programação mista (Mixed Integer Linear Programming - MILP) e Simulated Annealing.


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