Mathematical modeling and optimization under uncertainty
不确定性下的数学建模与优化
基本信息
- 批准号:RGPIN-2015-05063
- 负责人:
- 金额:$ 1.46万
- 依托单位:
- 依托单位国家:加拿大
- 项目类别:Discovery Grants Program - Individual
- 财政年份:2016
- 资助国家:加拿大
- 起止时间:2016-01-01 至 2017-12-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Mathematical models arising from application areas such as logistics, supply chain design, distribution, and transportation planning remain challenging despite the recent advances in
software and hardware capabilities. In addition to large size, variability in design parameters
leads to significant complexity both in modeling and in solution methodologies. While it
is common to assume that parameters are known and constant, variability is inherent to
all practical problems and often times, solutions generated by deterministic models turn out
to be infeasible or far from optimal when implemented. On the other hand, optimization
problems that model variability explicitly are generally more challenging due to stochasticity
and nonlinearity. The appropriate approach to model randomness depends on the amount of
information available. Under perfect information, parameters are assumed to be known and
constant during the planning horizon and the resulting models are deterministic. Under risk,
stochastic modeling assumes that parameters follow a probability distribution. Robust
optimization is an emerging framework for modeling under uncertainty where no distribution
information is available.
The focus of this research is on modeling and optimization under uncertainty. We propose
models and develop specialized optimization tools to handle uncertainty. Fortunately such
complex problems tend to exhibit special structure, which makes them suitable for decomposition methodologies such as Lagrangian relaxation/column generation, Dantzig-Wolfe decomposition, and Benders
decomposition. Two application areas will be investigated under this framework: disaster response network design and airline operations planning. In both application areas, stochastic
and robust optimization will be explored. The goal is to come up with robust designs that
optimize classical objectives like profit or cost but also remain valid or allow smooth recovery
when settings change.
The proposal provides rich research questions suitable for rigorous highly qualified personnel training. In total, three Ph.D. and four MASc. students will have the opportunity to carry out both theoretical and applied research. They will gain skills in analysis and modeling of quantitative decision making as well as in developing algorithms and using sophisticated optimization software. The students will apply their research work in decision making for disaster management and airline operations planning. Both areas are highly applicable and provide students the qualifications to work in academia, the airline industry, government, aid agencies, etc.
数学模型产生的应用领域,如物流,供应链设计,分销和运输规划仍然具有挑战性,尽管最近的进展
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Gzara, Fatma其他文献
The Pallet Loading Problem: Three-dimensional bin packing with practical constraints
- DOI:
10.1016/j.ejor.2020.04.053 - 发表时间:
2020-12-16 - 期刊:
- 影响因子:6.4
- 作者:
Gzara, Fatma;Elhedhli, Samir;Yildiz, Burak C. - 通讯作者:
Yildiz, Burak C.
Risk-based allocation of COVID-19 personal protective equipment under supply shortages.
- DOI:
10.1016/j.ejor.2023.04.001 - 发表时间:
2023-11-01 - 期刊:
- 影响因子:6.4
- 作者:
Baloch, Gohram;Gzara, Fatma;Elhedhli, Samir - 通讯作者:
Elhedhli, Samir
Green supply chain design with emission sensitive demand: second order cone programming formulation and case study
- DOI:
10.1007/s11590-020-01631-x - 发表时间:
2020-09-19 - 期刊:
- 影响因子:1.6
- 作者:
Elhedhli, Samir;Gzara, Fatma;Waltho, Cynthia - 通讯作者:
Waltho, Cynthia
Solving the hazmat transport network design problem
- DOI:
10.1016/j.cor.2006.10.022 - 发表时间:
2008-07-01 - 期刊:
- 影响因子:4.6
- 作者:
Erkut, Erhan;Gzara, Fatma - 通讯作者:
Gzara, Fatma
Gzara, Fatma的其他文献
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{{ truncateString('Gzara, Fatma', 18)}}的其他基金
Modelling and analysis of emergent technologies in logistics and distribution
物流配送新兴技术的建模与分析
- 批准号:
RGPIN-2020-04498 - 财政年份:2022
- 资助金额:
$ 1.46万 - 项目类别:
Discovery Grants Program - Individual
Modelling and analysis of emergent technologies in logistics and distribution
物流配送新兴技术的建模与分析
- 批准号:
RGPIN-2020-04498 - 财政年份:2021
- 资助金额:
$ 1.46万 - 项目类别:
Discovery Grants Program - Individual
Supply chain for Good: Enhancing governmental rapid response logistics with industry spare capacity
美好供应链:利用行业闲置产能增强政府快速反应物流
- 批准号:
556345-2020 - 财政年份:2020
- 资助金额:
$ 1.46万 - 项目类别:
Alliance Grants
Modelling and analysis of emergent technologies in logistics and distribution
物流配送新兴技术的建模与分析
- 批准号:
RGPIN-2020-04498 - 财政年份:2020
- 资助金额:
$ 1.46万 - 项目类别:
Discovery Grants Program - Individual
Mathematical modeling and optimization under uncertainty
不确定性下的数学建模与优化
- 批准号:
RGPIN-2015-05063 - 财政年份:2019
- 资助金额:
$ 1.46万 - 项目类别:
Discovery Grants Program - Individual
Analysis of logistics operations and stock management at Unilever Canada
加拿大联合利华物流运营和库存管理分析
- 批准号:
538508-2019 - 财政年份:2019
- 资助金额:
$ 1.46万 - 项目类别:
Engage Grants Program
Mathematical modeling and optimization under uncertainty
不确定性下的数学建模与优化
- 批准号:
RGPIN-2015-05063 - 财政年份:2018
- 资助金额:
$ 1.46万 - 项目类别:
Discovery Grants Program - Individual
Mathematical modeling and optimization under uncertainty
不确定性下的数学建模与优化
- 批准号:
RGPIN-2015-05063 - 财政年份:2017
- 资助金额:
$ 1.46万 - 项目类别:
Discovery Grants Program - Individual
Mixed-case palletization for warehouse management systems
仓库管理系统的混合箱托盘化
- 批准号:
483877-2015 - 财政年份:2017
- 资助金额:
$ 1.46万 - 项目类别:
Collaborative Research and Development Grants
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MedAvail 医疗中心的库存和存储决策分析
- 批准号:
500468-2016 - 财政年份:2016
- 资助金额:
$ 1.46万 - 项目类别:
Engage Grants Program
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