A Queueing Model to Evaluate the Impact of Patient “Batching” on Throughput and Flow Time in a Medical Teaching Facility

References

• Ahn HS, Duenyas I, Zhang RQ. Optimal stochastic scheduling of a two-stage tandem queue with parallel servers. Adv. Appl. Prob. (1999) 31(4):1095–1117Crossref, Google Scholar
• Andradóttir S, Ayhan H. Throughput maximization for tandem lines with two stations and flexible servers. Oper. Res. (2005) 53(3):516–531Link, Google Scholar
• Andradóttir S, Ayhan H, Down DG. Server assignment policies for maximizing the steady-state throughput of finite queueing systems. Management Sci. (2001) 47(10):1421–1439Link, Google Scholar
• Atzema C, Bandiera G, Schull MJ. Emergency department crowding: The effect on resident education. Ann. Emergency Medicine (2005) 45(3):276–281Crossref, Google Scholar
• Brill PH, Green L. Queues in which customers receive simultaneous service from a random number of servers: A system point approach. Management Sci. (1984) 30(1):51–68Link, Google Scholar
• Chisholm CD, Whenmouth LF, Daly EA, Cordell WH, Giles BK, Brizendine EJ. An evaluation of emergency medicine resident interaction time with faculty in different teaching venues. Acad. Emergency Medicine (2004) 11(2):149–155Crossref, Google Scholar
• Courcoubetis C, Reiman M. Optimal control of a queueing system with simultaneous service requirements. IEEE Trans. Automatic Control (1987) 32(8):717–727Crossref, Google Scholar
• Dallery Y, Frein Y. On decomposition methods for tandem queueing networks with blocking. Oper. Res. (1993) 41(2):386–399Link, Google Scholar
• Denton BT, Miller A, Balasubramanian H, Huschka T. Optimal allocation of surgery blocks to operating rooms under uncertainty. Oper. Res. (2010) 58(4):802–816Link, Google Scholar
• de Véricourt F, Jennings OB. Nurse staffing in medical units: A queueing perspective. Oper. Res. (2011) 59(6):1320–1331Link, Google Scholar
• Dobson G, Lee HH, Pinker E. A model of ICU bumping. Oper. Res. (2010) 58(6):1564–1576Link, Google Scholar
• Duenyas I, Gupta D, Olsen TL. Control of a single-server tandem queueing system with setups. Oper. Res. (1998) 46(2):218–230Link, Google Scholar
• Erdogan SA, Denton B. Dynamic appointment scheduling of a stochastic server with uncertain demand. INFORMS J. Comput. (2011) . ePub ahead of print December 7, http://dx.doi.org/10.1287/ijoc.1100.0482Google Scholar
• Gershwin SB, Schor JE. Efficient algorithms for buffer space allocation. Ann. Oper. Res. (2000) 93(1):117–144Crossref, Google Scholar
• Grasman SE, Olsen TL, Birge JR. Finite buffer polling models with routing. Eur. J. Oper. Res. (2005) 165(3):794–809Crossref, Google Scholar
• Green L, Savin S. Reducing delays for medical appointments: A queueing approach. Oper. Res. (2008) 56(6):1526–38Link, Google Scholar
• Green L, Soares J, Giglio JF, Green RA. Using queueing theory to increase the effectiveness of physician staffing in the emergency department. Academic Emergency Medicine (2006) 13(1):61–68Crossref, Google Scholar
• Hopp W, Spearman ML. Factory Physics: Foundation of Manufacturing Management (2006) (McGraw-Hill, Boston) Google Scholar
• Institute of MedicineHosptial-Based Emergency Care: At the Breaking Point (2006) (Institute of Medicine, Washington, DC) Google Scholar
• Jacobson PA, Lazowska ED. Analyzing queueing networks with simultaneous resource possession. Comm. ACM (1982) 25(2):142–151Crossref, Google Scholar
• Lammers RL, Roiger M, Rice L, Overton DT, Cucos D. The effect of a new emergency medicine residency program on patient length of stay in a community hospital emergency department. Acad. Emergency Medicine (2003) 10(7):723–730Crossref, Google Scholar
• Lee DKK, Zenios SA. Optimal capacity overbooking for the regular treatment of chronic conditions. Oper. Res. (2009) 57(4):852–865Link, Google Scholar
• Liu N, Ziya S, Kulkarni VG. Dynamic scheduling of outpatient appointments under patient no-shows and cancellations. Manufacturing Service Oper. Management (2010) 12(2):347–364Link, Google Scholar
• McClain JO, Moodie DR. A comment on “Buffer space allocation in automated assembly lines”. Oper. Res. (1991) 39(5):857–860Link, Google Scholar
• Meester LE, Shanthikumar JG. Concavity of the throughput of tandem queueing systems with finite buffer storage space. Adv. Appl. Probab. (1990) 22(3):764–767Crossref, Google Scholar
• Olsen TL. A practical scheduling method for multi-class production systems with setups. Management Sci. (1999) 45(1):116–130Link, Google Scholar
• Olsen TL. Limit theorems for polling models with increasing setups. Probab. Engrg. Informational Sci. (2001a) 15(1):35–55Crossref, Google Scholar
• Olsen TL. Approximations for the waiting time distribution in polling models with and without state-dependent setups. Oper. Res. Lett. (2001b) 28(3):113–123Crossref, Google Scholar
• Olsen TL, van der Mei RD. Polling systems with periodic server routing in heavy-traffic: Distribution of the delay. J. Appl. Probab. (2003) 40(2):305–326Crossref, Google Scholar
• Olsen TL, van der Mei RD. Polling systems with periodic server routing in heavy-traffic: Renewal arrivals. Oper. Res. Lett. (2005) 33(1):17–25Crossref, Google Scholar
• Patrick J, Puterman ML. Reducing wait times through operations research: Optimizing the use of surge capacity. Healthcare Policy (2008) 3(3):75–88Google Scholar
• Patrick J, Puterman ML, Queyranne M. Dynamic multipriority patient scheduling for a diagnostic resource. Oper. Res. (2008) 56(6):1507–1525Link, Google Scholar
• Puterman ML. Markov Decision Processes (2005) (John Wiley & Sons, Hoboken, NJ) Google Scholar
• Rich EC, Liebow M, Srinivasan M, Parish D, Wolliscroft JO, Fein O, Blasere R. Medicare financing of graduate medical education. J. General Internal Medicine (2002) 17(4):283–292Crossref, Google Scholar
• Serfozo RF. An equivalence between continuous and discrete time Markov decision processes. Oper. Res. (1979) 27(3):616–620Link, Google Scholar
• Singh MP, Srinivasan MM. Exact analysis of the state-dependent polling model. Queueing Systems (2002) 41(4):371–399Crossref, Google Scholar
• So KC. Optimal buffer allocation strategy for minimizing work-in-process inventory in unpaced production lines. IIE Trans. (1997) 29(1):81–88Crossref, Google Scholar
• Sparaggis PD, Gong W. Optimal buffer allocation in a two-stage queueing system. J. Appl. Probab. (1993) 30(2):478–482Crossref, Google Scholar
• Srinivasan MM, Gupta D. When should a roving server be patient? Management Sci. (1996) 42(3):437–451Link, Google Scholar
• Thibodeau LG, Geary SP, Werter C. An evaluation of resident work profiles, attending-resident teaching interactions, and the effect of variations in emergency department volume on each. Academic Emergency Medicine (2010) 17(2):62–66Crossref, Google Scholar
• Winands EMM. On polling systems with large setups. Oper. Res. Lett. (2007) 35(5):584–590Crossref, Google Scholar