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INFORMS Philadelphia – 2015

49

SA36

3 - Multi-Server Queues with Impatient Customers as Level-

Dependent QBDs with Applications in Healthcare

Amir Rastpour, University of Alberta, Alberta School of Business,

PhD office, Edmonton, AB, T6G 2R6, Canada,

amir.rastpour@ualberta.ca,

Burhaneddin Sandikci,

Armann Ingolfsson

We investigate the use of level-dependent quasi-birth-death (QBD) processes to

analyze priority queues with impatient customers, such as emergency

departments where patients are triaged into priority classes and some patients

leave without being seen. We report numerical results and discuss algorithm

performance (accuracy and speed).

4 - Optimal Cut-off Points for RNA-based Testing to Minimize the

Transfusion-transmitted Infection Risk

Hrayer Aprahamian, PhD Student, Virginia Tech, Dept of ISE,

Blacksburg, VA, 24061-0118, United States of America,

ahrayer@vt.edu

, Ebru Bish, Douglas Bish

The safety of blood products, in terms of being free of infectious agents (e.g.,

human immunodeficiency virus, hepatitis viruses), is essential. We develop a

novel mathematical model to determine the optimal cut-off points for RNA-based

individual and pooled screening tests, considering all recognized and emerging

infections that can be transmitted through the use of blood products. Using real

data, we show that our model improves upon current practices.

SA35

35-Room 412, Marriott

Joint Session HAS/MSOM-Healthcare:

Health Care Operations

Sponsor: Health Applications & MSOM

Sponsored Session

Chair: Nilay Argon, University of North Carolina, Department of

Statistics and Operations, Chapel Hill, NC, 27599, United States of

America,

nilay@unc.edu

Co-Chair: Serhan Ziya, Associate Professor, UNC Department of

Statistics & Operations Research, 356 Hanes Hall, CB#3260, Chapel Hill,

NC, 27599 - 32, United States of America,

ziya@unc.edu

1 - Scale and Skill Mix Efficiencies in Nursing Home Staffing

Ger Koole, VU University Amsterdam, De Boelelaan 1081a,

Amsterdam, Netherlands,

ger.koole@vu.nl,

Dennis Moeke,

Lineke Verkooijen

Care workers account for a significant proportion of the total health expenditure

in nursing homes and are by far the largest controllable resource. Therefore

determining the appropriate number and type of care workers required plays an

important role in the search for more efficiency. This study provides insights in

how and why scale of scheduling and blending tasks of different qualification

levels effect the number and type of staff required to meet the preferences of

nursing home residents.

2 - Myopic Scheduling of Jobs with Decaying Value with Applications

in Patient Scheduling

Neal Master, Stanford University, 350 Serra Mall, Stanford, CA,

94305, United States of America,

nmaster@stanford.edu

,

Carri Chan, Nicholas Bambos

In healthcare settings, delays in receiving treatment can result in worse outcomes

for patients. We introduce a clearing model in which the reward generated by

completing service for an individual job decays over time. Because computing an

optimal policy for such a model is computationally intractable, we focus on a

number of myopic heuristics. We provide performance guarantees for each

heuristic and use simulation to gain further insight into patient scheduling

problems.

3 - Wait Time Announcements at Hospital Emergency Departments

Zhankun Sun, Haskayne school of business, University of Calgary,

2500 University Drive NW, Calgary, AB, Canada,

zhankun.sun@haskayne.ucalgary.ca,

Marco Bijvank

We study a multiclass multiserver priority queue with delayed feedback to predict

the wait time for low-priority patients to be seen by a physician for the first time

after triage in ED. We model the patients reassess process and develop a

procedure to predict the state-dependent wait time based on an busy-period

analysis. With a case study at the four major hospitals in the Calgary area we

illustrate the performance of our wait time predictions.

4 - Evaluating Different Policies: A Real Life Operating Room

Scheduling Problem

Elvin Coban, Ozyegin University, Cekmekoy, Istanbul, Turkey,

elvin.coban@ozyegin.edu.tr,

Gulsah Alper

We study a real life operating room scheduling problem using a dataset from a

leading hospital in Turkey. We solve the daily and weekly scheduling problems by

a mixed integer linear programming model. Various objective functions and

performance metrics are analyzed including minimizing the waiting time of

patients while maximizing fairness. We examine surgery delays and incorporate

possible delays in surgery durations. We also propose a method to compute robust

operating room schedules.

SA36

36-Room 413, Marriott

Humanitarian Applications I

Sponsor: Public Sector OR

Sponsored Session

Chair: Burcu Balcik, Ozyegin University, Nisantepe Mah. Orman Sok.

Cekmekoy, Istanbul, Turkey,

burcu.balcik@ozyegin.edu.tr

1 - The Needs Assessment Routing Problem in Humanitarian Relief

Burcu Balcik, Ozyegin University, Nisantepe Mah. Orman Sok.

Cekmekoy, Istanbul, Turkey,

burcu.balcik@ozyegin.edu.tr

In the immediate aftermath of a disaster, it is important for relief agencies to

develop accurate estimates about the effects of the disaster in the affected region.

Since assessments must be completed quickly, it may not be possible to visit each

site in the affected region to collect information. We present mathematical models

and solution approaches to support site selection and routing decisions of the

rapid needs assessment teams. We present a case study to illustrate our approach.

2 - Effective Response to Disable and Elderly Populations in

Short-notice Disasters

Jacqueline Griffin, Assistant Professor, Northeastern University,

334 Snell Engineering Center, 360 Huntington Ave, Boston, MA,

02125, United States of America,

ja.griffin@neu.edu

,

Rana Azghandi

We develop a mixed integer programing model to simultaneously account for the

different protection strategies for the elderly and disabled population in short-

notice disasters. The modeling poses a split-delivery vehicle routing problem with

time windows and multiple uses of heterogeneous vehicles. We examine the

effect of multiple objectives for this disaster response application. Moreover, the

value of cooperation among neighboring jurisdictions as compared with greedy

policies is examined.

3 - A Dynamic Model for Disaster Response Considering Prioritized

Demand Points

Gina Galindo, Dr., Universidad del Norte, Km 5 Antigua

Via a Puerto Colombia, Barranquilla, Colombia,

ggalindo@uninorte.edu.co

, Daniel Rivera

This research addresses the problem of distributing relief supplies after the

occurrence of a natural disaster. We develop a dynamic model to define an action

plan to serve demand, while prioritizing the response according to the level of

urgency of demand points. Our model considers capacity constraints and dynamic

priorities. To evaluate its applicability, we use a case study of a flood occurred in

Colombia. We also test the solvability of our model for large instances of our

problem.

4 - The Role of Media Exposure on Humanitarian Donation and

Coordination

Mahyar Eftekhar, Arizona State University, P.O. Box 874706,

Tempe, AZ, 85287, United States of America,

eftekhar@asu.edu

,

Luk Van Wassenhove, Hongmin Li, Scott Webster

Despite their resource and financial limitations and despite the considerable level

of demand uncertainty they face, Humanitarian Organizations (HOs) do not

typically share resources. Considering the impact of media exposure, our study

unveils the conditions in which humanitarians will coordinate. This paper

contains both empirical and analytical modeling.