American Institute of Mathematical Sciences

Advanced
  • Previous Article
    A polynomial-time interior-point method for circular cone programming based on kernel functions
  • JIMO Home
  • This Issue
  • Next Article
    A tabu search algorithm to minimize total weighted tardiness for the job shop scheduling problem
April  2016, 12(2): 719-737. doi: 10.3934/jimo.2016.12.719

Resilience analysis for project scheduling with renewable resource constraint and uncertain activity durations

Jian Xiong 1, , Yingwu Chen 1, and  Zhongbao Zhou 2,

1. 

College of Information System and Management, National University of Defense Technology, Changsha, 410073, Hunan, China, China
2. 

Business School, Hunan University, Changsha, 410082, Hunan, China

Received  May 2013 Revised  April 2015 Published  June 2015

In the real world, project construction usually suffers various uncertain factors. Traditionally, uncertainty is modelled as either random variables or dynamic events. This paper addresses the case that the information about uncertainty is partially known when developing project schedules. The concept of resilience is introduced into project scheduling problems with resource constraint to measure a schedule's ability to absorb possible perturbation. The definition of resilience is given based on project equilibriums. Since the calculation of resilience is time intensive, a new surrogate measure is proposed to indicate schedule resilience. Correlation analysis between resilience and proposed surrogate measure is carried out. The experimental results suggest that the proposed surrogate measure is more appropriate to indicate resilience than makespan or total free slack.
Keywords: Resource-constrained project scheduling, surrogate measure., resilience analysis, uncertain activity duration.
Mathematics Subject Classification: Primary: 90B50; Secondary: 68M2.
Citation: Jian Xiong, Yingwu Chen, Zhongbao Zhou. Resilience analysis for project scheduling with renewable resource constraint and uncertain activity durations. Journal of Industrial and Management Optimization, 2016, 12 (2) : 719-737. doi: 10.3934/jimo.2016.12.719
References:
[1]

M. A. Al-Fawzana and Mohamed Haouari, A bi-objective model for robust resource-constrained project scheduling, International Journal of Production Economics, 96 (2005), 175-187. doi: 10.1016/j.ijpe.2004.04.002.

[2]

Behzad Ashtiani, Roel Leus and Mir-Bahador Aryanezhad, New competitive results for the stochastic resource-constrained project scheduling problems:exploring the benefits of pre-processing, Journal of scheduling, 14 (2011), 157-171. doi: 10.1007/s10951-009-0143-7.

[3]

Francisco Ballestín and Roel Leus, Resource-constrained project scheduling for timely project completion with stochastic activity durations, Production and Operations Management, 18 (2009), 459-474.

[4]

Ran Bhamra and Samir Dani and Kevin Burnard, Resilience: the concept, a literature review and future directions, International Journal of Production Research, 49 (2011), 5375-5393. doi: 10.1080/00207543.2011.563826.

[5]

Peter Brucker, Andreas Drexl, Rolf Möhring, Klaus Neumann and Erwin Pesch, Resource-constrained project scheduling: Notation, classification, models, and methods, European Journal of Operational Research, 112 (1999), 3-41. doi: 10.1016/S0377-2217(98)00204-5.

[6]

H. Chtourou and M. Haouari, A two-stage-priority-rule-based algorithm for robust resource-constrained project scheduling, Computers and Industrial Engineering, 55 (2008), 183-194. doi: 10.1016/j.cie.2007.11.017.

[7]

Lance Gunderson, Resilience, flexibility and adaptive management-antidotes for spurious certitude? Conservation Ecology, 3 (1999).

[8]

Sönke Hartmann and Dirk Briskorn, A survey of variants and extensions of the resource-constrained project scheduling problem, European Journal of Operational Research, 207 (2010), 1-14. doi: 10.1016/j.ejor.2009.11.005.

[9]

Sönke Hartmann and R. Kolisch, Experimental evaluation of state-of-the-art heuristics for the resource-constrained project scheduling problem, European Journal of Operational Research, 127 (2000), 394-407. doi: 10.1016/S0377-2217(99)00485-3.

[10]

Oncu Hazscir, Mohamed Haouari and Erdal Erel, Robust scheduling and robustness measures for the discrete time/cost trade-off problem, European Journal of Operational Rsearch, 207 (2010), 633-643. doi: 10.1016/j.ejor.2010.05.046.

[11]

W. Herroelen and R. Leus, Robust and reactive project scheduling: A review and classification of procedures, International Journal of Production Research, 42 (2004), 1599-1620. doi: 10.1080/00207540310001638055.

[12]

W. Herroelen and R. Leus, Project scheduling under uncertainty, survey and research potentials, European Journal of Operational Research, 165 (2005), 289-306. doi: 10.1016/j.ejor.2004.04.002.

[13]

Willy Herroelen, Bert De Reyck and Erik Demeulemeester, Resource-constrained project scheduling: A survey of recent developments, Computers & Operations Research, 25 (1998), 279-302. doi: 10.1016/S0305-0548(97)00055-5.

[14]

C. S. Holling, Resilience and stability of ecological systems, Annual Review of Ecology and Systematics, 4 (1973), 1-23. doi: 10.1146/annurev.es.04.110173.000245.

[15]

Przemyslaw Kobylanśki and Dorota Kuchta, A note on the paper by M. A. Al-Fawzan and M. Haouari about a bi-objective problem for robust resource-constrained project scheduling, International Journal of Production Economics, 107 (2007), 496-501.

[16]

Rainer Kolisch and Sönke Hartmannb, Experimental investigation of heuristics for resource-constrained project scheduling: An update, European Journal of Operational Research, 174 (2006), 23-37. doi: 10.1016/j.ejor.2005.01.065.

[17]

R. Kolisch and R. Padman, An integrated survey of deterministic project scheduling, Omega, 49 (2001), 249-272. doi: 10.1016/S0305-0483(00)00046-3.

[18]

R. Kolisch, A. Sprecher and A. Drexl, Characterization and generation of a general class of resource-constrained project scheduling problem, Management Science, 41 (1995), 1693-1703. doi: 10.1287/mnsc.41.10.1693.

[19]

R. Kolisch, Serial and parallel resource constrained project scheduling methods revisited: Theory and computation, European Journal of Operational Research, 90 (1996), 320-333. doi: 10.1016/0377-2217(95)00357-6.

[20]

Olivier Lambrechts, Erik Demeulemeester and Willy Herroelen, A tabu search procedure for developing robust predictive project schedules, International Journal of Production Economics, 111 (2008), 493-508. doi: 10.1016/j.ijpe.2007.02.003.

[21]

Olivier Lambrechts, Erik Demeulemeester and Willy Herroelen, Proactive and reactive strategies for resource-constrained project scheduling with uncertain resource avaibailities, Journal of Scheduling, 11 (2008), 121-136. doi: 10.1007/s10951-007-0021-0.

[22]

George Leu, Hussein Abbass and Neville Curtis, Resilience of ground transportation networks: a case study on Melbourne, in Australasian Transport Research Forum 2010 Proceedings, (2010), 1-14, Canberra, Australia,

[23]

Ganggang Li and Xiwen Lu, Two-machine scheduling with periodic availability constraints to minimize makespan, Journal of Industrial and Management Optimization, 11 (2015), 685-700. doi: 10.3934/jimo.2015.11.685.

[24]

H. M. Markowitz, Portfolio selection, Journal of Finance, 7 (1952), 77-91.

[25]

H. M. Markowitz, Mean-variance analysis in portfolio choice and capital markets, Blackwell, 1987, Oxford.

[26]

R. Mohring, Minimizing costs of resource requirement in project networks subject to a fixed completion, Operations Research, 31 (1984), 89-119. doi: 10.1287/opre.32.1.89.

[27]

T. Murata, H. Ishibuchi and H. Tanaka, Genetic algorithms for flowshop scheduling problems, Computer & Industrial Engineering, 30 (1996), 1061-1071. doi: 10.1016/0360-8352(96)00053-8.

[28]

T. Murata, H. Ishibuchi and H. Tanaka, Multi-objective genetic algorithm and its application to flowshop scheduling, Computer & Industrial Engineering, 30 (1996), 957-968. doi: 10.1016/0360-8352(96)00045-9.

[29]

Linet Özdamara and Gündüz Ulusoy, A survey on the resource-constrained project scheduling problem, IIE Transactions, 27 (1995), 574-586.

[30]

Shahram Shadrokh and Fereydoon Kianfar, A genetic algorithm for resource investment project scheduling problem, tardiness permitted with penalty, European Journal of Operational Research, 181 (2007), 86-101. doi: 10.1016/j.ejor.2006.03.056.

[31]

Kathleen Tierney and Michel Bruneau, Conceptualizing and measuring resilience: A key to disaster loss reduction, TR NEWS, (2007), 14-17.

[32]

D. Tilman and J. A. Downing, Biodiversity and stability in grasslands, Nature, 367 (1994), 363-365. doi: 10.1007/978-1-4612-4018-1_1.

[33]

S. Van de Vonder, E. Demeulemeester and W. Herroelen, A classification of preditive-reactive project scheduling procedures, Journal of scheduling, 10 (2007), 195-207. doi: 10.1007/s10951-007-0011-2.

[34]

S. Van de Vonder, E. Demeulemeester and W. Herroelen, Proactive heuristic procedures for robust project scheduling: An experimental analysis, European Journal of Operational Research, 189 (2008), 723-733. doi: 10.1016/j.ejor.2006.10.061.

[35]

S. Van de Vonder, E. Demeulemeester, W. Herroelen and R. Leus, The use of buffers in project management: the trade-off between stability and makespan, International Journal of Production Economics, 97 (2005), 227-240. doi: 10.1016/j.ijpe.2004.08.004.

[36]

S. Van de Vonder, E. Demeulemeester, W. Herroelen and R. Leus, The trade-off between stability and makespan in resource-constrained project scheduling, International Journal of Production Research, 44 (2006), 215-236. doi: 10.1080/00207540500140914.

[37]

J. W. Wang, F. Gao and W. H. Ip, Measurement of resilience and its application to enterprise information systems, Enterprise Information Systems, 4 (2010), 215-223. doi: 10.1080/17517571003754561.

[38]

Jian Xiong, Ying-wu Chen, Ke-wei Yang, Qing-song Zhao and Li-ning Xing, A hybrid multiobjective genetic algorithm for robust resource-constrained project scheduling with stochastic durations, Mathematical Problems in Engineering, (2012), 1-24, Article ID: 786923.

[39]

Jian Xiong, Jing Liu, Yingwu Chen and Hussein A. Abbass, A knowledge-based evolutionary multiobjective approach for stochastic extended resource investment project scheduling problems, IEEE Transactions on Evolutionary Computation, 18 (2014), 742-763. doi: 10.1109/TEVC.2013.2283916.

[40]

Jian Xiong, Li-ning Xing and Ying-wu Chen, Robust scheduling for flexible job-shop problems with random machine breakdowns, International Journal of Production Economics, 14 (2013), 112-126.

[41]

D. S. Yamashita, V. A. Armentano and M. Laguna, Robust optimizationmodels for project scheduling with resource availability cost, Journal of Scheduling, 10 (2007), 67-76. doi: 10.1007/s10951-006-0326-4.

[42]

I-Tung Yang and Chi-Yi Chang, Stochastic resource-constrained scheduling for repetitive construction projects with uncertain supply of resources and funding, International Journal of Project Management, 23 (2005), 546-553. doi: 10.1016/j.ijproman.2005.03.003.

[43]

Lihui Zhang, Xin Zou and Jianxun Qi, A trade-off between time and cost in scheduling repetitive construction projects, Journal of Industrial and Management Optimization, 11 (2015), 1423-1434. doi: 10.3934/jimo.2015.11.1423.

show all references

References:
[1]

M. A. Al-Fawzana and Mohamed Haouari, A bi-objective model for robust resource-constrained project scheduling, International Journal of Production Economics, 96 (2005), 175-187. doi: 10.1016/j.ijpe.2004.04.002.

[2]

Behzad Ashtiani, Roel Leus and Mir-Bahador Aryanezhad, New competitive results for the stochastic resource-constrained project scheduling problems:exploring the benefits of pre-processing, Journal of scheduling, 14 (2011), 157-171. doi: 10.1007/s10951-009-0143-7.

[3]

Francisco Ballestín and Roel Leus, Resource-constrained project scheduling for timely project completion with stochastic activity durations, Production and Operations Management, 18 (2009), 459-474.

[4]

Ran Bhamra and Samir Dani and Kevin Burnard, Resilience: the concept, a literature review and future directions, International Journal of Production Research, 49 (2011), 5375-5393. doi: 10.1080/00207543.2011.563826.

[5]

Peter Brucker, Andreas Drexl, Rolf Möhring, Klaus Neumann and Erwin Pesch, Resource-constrained project scheduling: Notation, classification, models, and methods, European Journal of Operational Research, 112 (1999), 3-41. doi: 10.1016/S0377-2217(98)00204-5.

[6]

H. Chtourou and M. Haouari, A two-stage-priority-rule-based algorithm for robust resource-constrained project scheduling, Computers and Industrial Engineering, 55 (2008), 183-194. doi: 10.1016/j.cie.2007.11.017.

[7]

Lance Gunderson, Resilience, flexibility and adaptive management-antidotes for spurious certitude? Conservation Ecology, 3 (1999).

[8]

Sönke Hartmann and Dirk Briskorn, A survey of variants and extensions of the resource-constrained project scheduling problem, European Journal of Operational Research, 207 (2010), 1-14. doi: 10.1016/j.ejor.2009.11.005.

[9]

Sönke Hartmann and R. Kolisch, Experimental evaluation of state-of-the-art heuristics for the resource-constrained project scheduling problem, European Journal of Operational Research, 127 (2000), 394-407. doi: 10.1016/S0377-2217(99)00485-3.

[10]

Oncu Hazscir, Mohamed Haouari and Erdal Erel, Robust scheduling and robustness measures for the discrete time/cost trade-off problem, European Journal of Operational Rsearch, 207 (2010), 633-643. doi: 10.1016/j.ejor.2010.05.046.

[11]

W. Herroelen and R. Leus, Robust and reactive project scheduling: A review and classification of procedures, International Journal of Production Research, 42 (2004), 1599-1620. doi: 10.1080/00207540310001638055.

[12]

W. Herroelen and R. Leus, Project scheduling under uncertainty, survey and research potentials, European Journal of Operational Research, 165 (2005), 289-306. doi: 10.1016/j.ejor.2004.04.002.

[13]

Willy Herroelen, Bert De Reyck and Erik Demeulemeester, Resource-constrained project scheduling: A survey of recent developments, Computers & Operations Research, 25 (1998), 279-302. doi: 10.1016/S0305-0548(97)00055-5.

[14]

C. S. Holling, Resilience and stability of ecological systems, Annual Review of Ecology and Systematics, 4 (1973), 1-23. doi: 10.1146/annurev.es.04.110173.000245.

[15]

Przemyslaw Kobylanśki and Dorota Kuchta, A note on the paper by M. A. Al-Fawzan and M. Haouari about a bi-objective problem for robust resource-constrained project scheduling, International Journal of Production Economics, 107 (2007), 496-501.

[16]

Rainer Kolisch and Sönke Hartmannb, Experimental investigation of heuristics for resource-constrained project scheduling: An update, European Journal of Operational Research, 174 (2006), 23-37. doi: 10.1016/j.ejor.2005.01.065.

[17]

R. Kolisch and R. Padman, An integrated survey of deterministic project scheduling, Omega, 49 (2001), 249-272. doi: 10.1016/S0305-0483(00)00046-3.

[18]

R. Kolisch, A. Sprecher and A. Drexl, Characterization and generation of a general class of resource-constrained project scheduling problem, Management Science, 41 (1995), 1693-1703. doi: 10.1287/mnsc.41.10.1693.

[19]

R. Kolisch, Serial and parallel resource constrained project scheduling methods revisited: Theory and computation, European Journal of Operational Research, 90 (1996), 320-333. doi: 10.1016/0377-2217(95)00357-6.

[20]

Olivier Lambrechts, Erik Demeulemeester and Willy Herroelen, A tabu search procedure for developing robust predictive project schedules, International Journal of Production Economics, 111 (2008), 493-508. doi: 10.1016/j.ijpe.2007.02.003.

[21]

Olivier Lambrechts, Erik Demeulemeester and Willy Herroelen, Proactive and reactive strategies for resource-constrained project scheduling with uncertain resource avaibailities, Journal of Scheduling, 11 (2008), 121-136. doi: 10.1007/s10951-007-0021-0.

[22]

George Leu, Hussein Abbass and Neville Curtis, Resilience of ground transportation networks: a case study on Melbourne, in Australasian Transport Research Forum 2010 Proceedings, (2010), 1-14, Canberra, Australia,

[23]

Ganggang Li and Xiwen Lu, Two-machine scheduling with periodic availability constraints to minimize makespan, Journal of Industrial and Management Optimization, 11 (2015), 685-700. doi: 10.3934/jimo.2015.11.685.

[24]

H. M. Markowitz, Portfolio selection, Journal of Finance, 7 (1952), 77-91.

[25]

H. M. Markowitz, Mean-variance analysis in portfolio choice and capital markets, Blackwell, 1987, Oxford.

[26]

R. Mohring, Minimizing costs of resource requirement in project networks subject to a fixed completion, Operations Research, 31 (1984), 89-119. doi: 10.1287/opre.32.1.89.

[27]

T. Murata, H. Ishibuchi and H. Tanaka, Genetic algorithms for flowshop scheduling problems, Computer & Industrial Engineering, 30 (1996), 1061-1071. doi: 10.1016/0360-8352(96)00053-8.

[28]

T. Murata, H. Ishibuchi and H. Tanaka, Multi-objective genetic algorithm and its application to flowshop scheduling, Computer & Industrial Engineering, 30 (1996), 957-968. doi: 10.1016/0360-8352(96)00045-9.

[29]

Linet Özdamara and Gündüz Ulusoy, A survey on the resource-constrained project scheduling problem, IIE Transactions, 27 (1995), 574-586.

[30]

Shahram Shadrokh and Fereydoon Kianfar, A genetic algorithm for resource investment project scheduling problem, tardiness permitted with penalty, European Journal of Operational Research, 181 (2007), 86-101. doi: 10.1016/j.ejor.2006.03.056.

[31]

Kathleen Tierney and Michel Bruneau, Conceptualizing and measuring resilience: A key to disaster loss reduction, TR NEWS, (2007), 14-17.

[32]

D. Tilman and J. A. Downing, Biodiversity and stability in grasslands, Nature, 367 (1994), 363-365. doi: 10.1007/978-1-4612-4018-1_1.

[33]

S. Van de Vonder, E. Demeulemeester and W. Herroelen, A classification of preditive-reactive project scheduling procedures, Journal of scheduling, 10 (2007), 195-207. doi: 10.1007/s10951-007-0011-2.

[34]

S. Van de Vonder, E. Demeulemeester and W. Herroelen, Proactive heuristic procedures for robust project scheduling: An experimental analysis, European Journal of Operational Research, 189 (2008), 723-733. doi: 10.1016/j.ejor.2006.10.061.

[35]

S. Van de Vonder, E. Demeulemeester, W. Herroelen and R. Leus, The use of buffers in project management: the trade-off between stability and makespan, International Journal of Production Economics, 97 (2005), 227-240. doi: 10.1016/j.ijpe.2004.08.004.

[36]

S. Van de Vonder, E. Demeulemeester, W. Herroelen and R. Leus, The trade-off between stability and makespan in resource-constrained project scheduling, International Journal of Production Research, 44 (2006), 215-236. doi: 10.1080/00207540500140914.

[37]

J. W. Wang, F. Gao and W. H. Ip, Measurement of resilience and its application to enterprise information systems, Enterprise Information Systems, 4 (2010), 215-223. doi: 10.1080/17517571003754561.

[38]

Jian Xiong, Ying-wu Chen, Ke-wei Yang, Qing-song Zhao and Li-ning Xing, A hybrid multiobjective genetic algorithm for robust resource-constrained project scheduling with stochastic durations, Mathematical Problems in Engineering, (2012), 1-24, Article ID: 786923.

[39]

Jian Xiong, Jing Liu, Yingwu Chen and Hussein A. Abbass, A knowledge-based evolutionary multiobjective approach for stochastic extended resource investment project scheduling problems, IEEE Transactions on Evolutionary Computation, 18 (2014), 742-763. doi: 10.1109/TEVC.2013.2283916.

[40]

Jian Xiong, Li-ning Xing and Ying-wu Chen, Robust scheduling for flexible job-shop problems with random machine breakdowns, International Journal of Production Economics, 14 (2013), 112-126.

[41]

D. S. Yamashita, V. A. Armentano and M. Laguna, Robust optimizationmodels for project scheduling with resource availability cost, Journal of Scheduling, 10 (2007), 67-76. doi: 10.1007/s10951-006-0326-4.

[42]

I-Tung Yang and Chi-Yi Chang, Stochastic resource-constrained scheduling for repetitive construction projects with uncertain supply of resources and funding, International Journal of Project Management, 23 (2005), 546-553. doi: 10.1016/j.ijproman.2005.03.003.

[43]

Lihui Zhang, Xin Zou and Jianxun Qi, A trade-off between time and cost in scheduling repetitive construction projects, Journal of Industrial and Management Optimization, 11 (2015), 1423-1434. doi: 10.3934/jimo.2015.11.1423.

[1]

Zhe Zhang, Jiuping Xu. Bi-level multiple mode resource-constrained project scheduling problems under hybrid uncertainty. Journal of Industrial and Management Optimization, 2016, 12 (2) : 565-593. doi: 10.3934/jimo.2016.12.565
[2]

Yukang He, Zhengwen He, Nengmin Wang. Tabu search and simulated annealing for resource-constrained multi-project scheduling to minimize maximal cash flow gap. Journal of Industrial and Management Optimization, 2021, 17 (5) : 2451-2474. doi: 10.3934/jimo.2020077
[3]

Reza Lotfi, Zahra Yadegari, Seyed Hossein Hosseini, Amir Hossein Khameneh, Erfan Babaee Tirkolaee, Gerhard-Wilhelm Weber. A robust time-cost-quality-energy-environment trade-off with resource-constrained in project management: A case study for a bridge construction project. Journal of Industrial and Management Optimization, 2022, 18 (1) : 375-396. doi: 10.3934/jimo.2020158
[4]

Jingwen Zhang, Wanjun Liu, Wanlin Liu. An efficient genetic algorithm for decentralized multi-project scheduling with resource transfers. Journal of Industrial and Management Optimization, 2022, 18 (1) : 1-24. doi: 10.3934/jimo.2020140
[5]

Xiaoxiao Yuan, Jing Liu, Xingxing Hao. A moving block sequence-based evolutionary algorithm for resource investment project scheduling problems. Big Data & Information Analytics, 2017, 2 (1) : 39-58. doi: 10.3934/bdia.2017007
[6]

Xiangfeng Yang. Stability in measure for uncertain heat equations. Discrete and Continuous Dynamical Systems - B, 2019, 24 (12) : 6533-6540. doi: 10.3934/dcdsb.2019152
[7]

Shuang Zhao. Resource allocation flowshop scheduling with learning effect and slack due window assignment. Journal of Industrial and Management Optimization, 2021, 17 (5) : 2817-2835. doi: 10.3934/jimo.2020096
[8]

Ji-Bo Wang, Dan-Yang Lv, Shi-Yun Wang, Chong Jiang. Resource allocation scheduling with deteriorating jobs and position-dependent workloads. Journal of Industrial and Management Optimization, 2022  doi: 10.3934/jimo.2022011
[9]

Chunlai Liu, Yanpeng Fan, Chuanli Zhao, Jianjun Wang. Multiple common due-dates assignment and optimal maintenance activity scheduling with linear deteriorating jobs. Journal of Industrial and Management Optimization, 2017, 13 (2) : 713-720. doi: 10.3934/jimo.2016042
[10]

Irada Dzhalladova, Miroslava Růžičková. Simplification of weakly nonlinear systems and analysis of cardiac activity using them. Discrete and Continuous Dynamical Systems - B, 2022, 27 (6) : 3435-3453. doi: 10.3934/dcdsb.2021191
[11]

Jiayu Shen, Yuanguo Zhu. An uncertain programming model for single machine scheduling problem with batch delivery. Journal of Industrial and Management Optimization, 2019, 15 (2) : 577-593. doi: 10.3934/jimo.2018058
[12]

Jau-Chuan Ke, Hsin-I Huang, Chuen-Horng Lin. Analysis on a queue system with heterogeneous servers and uncertain patterns. Journal of Industrial and Management Optimization, 2010, 6 (1) : 57-71. doi: 10.3934/jimo.2010.6.57
[13]

Charles E. M. Pearce, Krzysztof Szajowski, Mitsushi Tamaki. Duration problem with multiple exchanges. Numerical Algebra, Control and Optimization, 2012, 2 (2) : 333-355. doi: 10.3934/naco.2012.2.333
[14]

Nicolás M. Crisosto, Christopher M. Kribs-Zaleta, Carlos Castillo-Chávez, Stephen Wirkus. Community resilience in collaborative learning. Discrete and Continuous Dynamical Systems - B, 2010, 14 (1) : 17-40. doi: 10.3934/dcdsb.2010.14.17
[15]

Ji-Bo Wang, Bo Zhang, Hongyu He. A unified analysis for scheduling problems with variable processing times. Journal of Industrial and Management Optimization, 2022, 18 (2) : 1063-1077. doi: 10.3934/jimo.2021008
[16]

Editorial Office. RETRACTION: Peng Zhang, Chance-constrained multiperiod mean absolute deviation uncertain portfolio selection. Journal of Industrial and Management Optimization, 2019, 15 (2) : 537-564. doi: 10.3934/jimo.2018056
[17]

Bao Qing Hu, Song Wang. A novel approach in uncertain programming part II: a class of constrained nonlinear programming problems with interval objective functions. Journal of Industrial and Management Optimization, 2006, 2 (4) : 373-385. doi: 10.3934/jimo.2006.2.373
[18]

Xiaoqing Ou, Suliman Al-Homidan, Qamrul Hasan Ansari, Jiawei Chen. Image space analysis for uncertain multiobjective optimization problems: Robust optimality conditions. Journal of Industrial and Management Optimization, 2021  doi: 10.3934/jimo.2021199
[19]

Kazimierz Malanowski, Helmut Maurer. Sensitivity analysis for state constrained optimal control problems. Discrete and Continuous Dynamical Systems, 1998, 4 (2) : 241-272. doi: 10.3934/dcds.1998.4.241
[20]

Chunlei Zhang, Qin Sheng, Raúl Ordóñez. Notes on the convergence and applications of surrogate optimization. Conference Publications, 2005, 2005 (Special) : 947-956. doi: 10.3934/proc.2005.2005.947

2020 Impact Factor: 1.801

Tools

Metrics

  • PDF downloads (372)
  • HTML views (0)
  • Cited by (1)

Other articles
by authors

[Back to Top]

Copyright © 2022 American Institute of Mathematical Sciences | Privacy Policy