Optimal Control of Parallel Queues for Managing Volunteer Convergence

[1]  N. C. Simpson,et al.  Fifty years of operational research and emergency response , 2009, J. Oper. Res. Soc..

[2]  D. Teneketzis,et al.  Optimal stochastic scheduling of forest networks with switching penalties , 1994, Advances in Applied Probability.

[3]  J. Little.  A Proof for the Queuing Formula: L = λW , 1961 .

[4]  Natarajan Gautam,et al.  On Queues with Markov Modulated Service Rates , 2005, Queueing Syst. Theory Appl..

[5]  Raha Akhavan-Tabatabaei,et al.  OR models with stochastic components in disaster operations management: A literature survey , 2015, Comput. Ind. Eng..

[6]  J. Handmer,et al.  A review of informal volunteerism in emergencies and disasters: Definition, opportunities and challenges , 2015 .

[7]  Ward Whitt,et al.  Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System , 2007 .

[8]  C. Flint,et al.  Community Volunteers: The Front Line of Disaster Response , 2005 .

[9]  Lauren S. Fernandez,et al.  Strategies for Managing Volunteers during Incident Response A Systems Approach , 2006 .

[10]  Sandjai Bhulai,et al.  On structural properties of the value function for an unbounded jump Markov process with an application to a processor sharing retrial queue , 2014, Queueing Syst. Theory Appl..

[11]  Reza Zanjirani Farahani,et al.  Disaster Management from a POM Perspective: Mapping a New Domain , 2016 .

[12]  Maria E. Mayorga,et al.  Assigning spontaneous volunteers to relief efforts under uncertainty in task demand and volunteer availability , 2021 .

[13]  P. Nain,et al.  Interchange arguments for classical scheduling problems in queues , 1989 .

[14]  Uri Yechiali,et al.  Queues where customers of one queue act as servers of the other queue , 2008, Queueing Syst. Theory Appl..

[15]  F. Spieksma,et al.  Countable state Markov decision processes with unbounded jump rates and discounted cost: optimality equation and approximations , 2015, Advances in Applied Probability.

[16]  J. Baras,et al.  Two competing queues with linear costs and geometric service requirements: the μc-rule is often optimal , 1985, Advances in Applied Probability.

[17]  Rajan Batta,et al.  Review of recent developments in OR/MS research in disaster operations management , 2013, Eur. J. Oper. Res..

[18]  H. Blok,et al.  Structures of Optimal Policies in MDPs with Unbounded Jumps: The State of Our Art , 2017 .

[19]  Kyle Lassiter,et al.  A robust optimization approach to volunteer management in humanitarian crises , 2015 .

[20]  M. T. Ortuño,et al.  Decision Aid Models and Systems for Humanitarian Logistics. A Survey , 2012 .

[21]  Adriana Leiras,et al.  Literature review of humanitarian logistics research: trends and challenges , 2014 .

[22]  Lawrence M. Wein,et al.  Dynamic Scheduling of a Two-Class Queue with Setups , 2011, Oper. Res..

[23]  Ronald J. Williams,et al.  Dynamic scheduling of a system with two parallel servers in heavy traffic with resource pooling: asymptotic optimality of a threshold policy , 2001 .

[24]  Matthew Kaspari.  OPTIMAL VOLUNTEER ASSIGNMENT WITH AN APPLICATION TO THE DENVER B-CYCLE BIKE SHARING PROGRAM , 2010 .

[25]  Shaler Stidham,et al.  Analysis, Design, and Control of Queueing Systems , 2002, Oper. Res..

[26]  Wayne E. Smith.  Various optimizers for single‐stage production , 1956 .

[27]  Mark E. Lewis,et al.  On the Introduction of an Agile, Temporary Workforce into a Tandem Queueing System , 2005, Queueing Syst. Theory Appl..

[28]  Peter Purdue,et al.  The M/M/1 Queue in a Markovian Environment , 1974, Oper. Res..

[29]  Martin L. Puterman,et al.  Markov Decision Processes: Discrete Stochastic Dynamic Programming , 1994 .

[30]  Lauren B. Davis,et al.  Managing volunteer convergence at disaster relief centers , 2020 .

[31]  Lauren B. Davis,et al.  Empirical analysis of volunteer convergence following the 2011 tornado disaster in Tuscaloosa, Alabama , 2016, Natural Hazards.

[32]  Izak Duenyas,et al.  Stochastic scheduling of parallel queues with set-up costs , 1995, Queueing Syst. Theory Appl..

[33]  G. J. K. Regterschot,et al.  The Queue M|G|1 with Markov Modulated Arrivals and Services , 1986, Math. Oper. Res..

[34]  Scott E. Sampson.  Optimization of volunteer labor assignments , 2006 .

[35]  Christopher W. Zobel,et al.  An optimization model for volunteer assignments in humanitarian organizations , 2012 .

[36]  J. V. Mieghem.  Dynamic Scheduling with Convex Delay Costs: The Generalized CU Rule , 1995 .

[37]  Steven A. Lippman,et al.  Applying a New Device in the Optimization of Exponential Queuing Systems , 1975, Oper. Res..

[38]  Oualid Jouini,et al.  A Uniformization Approach for the Dynamic Control of Queueing Systems with Abandonments , 2017, Oper. Res..

[39]  Maria Besiou,et al.  Volunteer Management in Charity Storehouses: Experience, Congestion and Operational Performance , 2019, Production and Operations Management.

[40]  Enrico L Quarantelli,et al.  Major Criteria For Judging Disaster Planning And Managing Their Applicability In Developing Countries , 1998 .

[41]  L. V. Wassenhove,et al.  On the appropriate objective function for post‐disaster humanitarian logistics models , 2013 .

[42]  Tina Wakolbinger,et al.  The funding—Humanitarian supply chain interface , 2016 .

[43]  Nezih Altay,et al.  OR/MS research in disaster operations management , 2006, Eur. J. Oper. Res..

[44]  M. Puterman,et al.  Modified Policy Iteration Algorithms for Discounted Markov Decision Problems , 1978 .

[45]  Ger Koole,et al.  Dynamic control of a single-server system with abandonments , 2011, Queueing Syst. Theory Appl..

[46]  Alexander L. Stolyar,et al.  Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cµ-Rule , 2004, Oper. Res..

[47]  Dennis S. Mileti,et al.  Citizen Participation in Emergency Response Following the Loma Prieta Earthquake , 1992, International Journal of Mass Emergencies & Disasters.

[48]  Jacques Renaud,et al.  Relief distribution networks: a systematic review , 2014, Ann. Oper. Res..

[49]  D. Teneketzis,et al.  Optimality of index policies for stochastic scheduling with switching penalties , 1992, Journal of Applied Probability.

[50]  Izak Duenyas,et al.  Heuristic Scheduling of Parallel Heterogeneous Queues with Set-Ups , 1996 .

[51]  Xin Liu,et al.  Scheduling control for Markov-modulated single-server multiclass queueing systems in heavy traffic , 2014, Queueing Syst. Theory Appl..

[52]  Mark E. Lewis,et al.  OPTIMAL CONTROL OF A TWO-STAGE TANDEM QUEUING SYSTEM WITH FLEXIBLE SERVERS , 2002 .

[53]  Sandy Bogucki,et al.  Convergent volunteerism. , 2003, Annals of emergency medicine.

[54]  Rae Zimmerman,et al.  Organization-based incident management: developing a disaster volunteer role on a university campus. , 2007, Disaster management & response : DMR : an official publication of the Emergency Nurses Association.

[55]  Maria E. Mayorga,et al.  The optimal assignment of spontaneous volunteers , 2017, J. Oper. Res. Soc..

[56]  Shaligram Pokharel,et al.  Optimization models in emergency logistics: A literature review , 2012 .

[57]  Micha Hofri,et al.  On the Optimal Control of Two Queues with Server Setup Times and its Analysis , 1987, SIAM J. Comput..

[58]  H. Blok,et al.  Unbounded-rate Markov decision processes : structural properties via a parametrisation approach , 2016 .

[59]  Maaike Verloop,et al.  Markov-modulated M/G/1-type queue in heavy traffic and its application to time-sharing disciplines , 2016, Queueing Syst. Theory Appl..

[60]  J. Walrand,et al.  The cμ rule revisited , 1985, Advances in Applied Probability.

[61]  J.H.F. Linssen,et al.  continuous-time markov decision processes , 2016 .

[62]  Lauren E Barsky,et al.  Managing volunteers: FEMA's Urban Search and Rescue programme and interactions with unaffiliated responders in disaster response. , 2007, Disasters.

[63]  Young Hae Lee,et al.  Mathematical Models in Humanitarian Supply Chain Management: A Systematic Literature Review , 2016 .

[64]  Erhan Erkut,et al.  Improving Volunteer Scheduling for the Edmonton Folk Festival , 2004, Interfaces.

[65]  R. Sargisson,et al.  How Volunteering Reduced the Impact of the Rena Oil Spill: Community Responses to an Environmental Disaster , 2015, International Journal of Mass Emergencies & Disasters.