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INFORMS Nashville – 2016

275

2 - Decoupling Job Size And Server Slowdown In

Modeling Redundancy

Kristen Gardner, Carnegie Mellon University, 5000 Forbes Ave,

Pittsburgh, PA, 15213, United States,

ksgardne@cs.cmu.edu,

Mor Harchol-Balter, Alan Scheller-Wolf

Redundancy is an increasingly common technique for reducing response time in

multi-server queueing systems. In a system with redundancy, jobs replicate

themselves and wait in multiple queues; a job is complete as soon as any one

copy completes service. Much of the existing theoretical work on analyzing

systems with redundancy makes the unrealistic assumption that a job’s service

times are independent across different servers. This assumption can lead to results

that are at odds with implementation results. We introduce a new, more realistic

model of redundancy and design a new dispatching policy that is both analytically

tractable within our model and has provably excellent performance.

3 - Gated Queues With Impatience Customers

George Mytalas, NJIT, Newark,NJ, NJ, United States,

mytalas@aueb.gr

We analyze an M/M/1 queueing model with gated service discipline. In this

discipline there is a waiting room and a service queue. Each time the service

queue becomes empty all customers in the waiting room are instantaneously put

in the service queue. Customers in waiting room can be impatient after waiting a

random amount (or a certain) of time and abandon the system. We derive the

joint distribution of the number of customers in waiting room and service queue,

and obtain various quality of service measures.

4 - Appointment Systems Under Service Level Constraints

Rui Chen, University of Toronto, 105 St George St, Toronto, ON,

M5S 3E6, Canada,

rui.chen@rotman.utoronto.ca,

Rowan Wang,

Zhenzhen Yan, Saif Benjaafar, Oualid Jouini

We consider a new model of appointment scheduling where customers are given

the earliest possible appointment times under the service level constraint that the

expected waiting time of each individual customer cannot exceed a given

threshold. We apply the theory of majorization to analytically characterize the

structure of the optimal appointment schedule. We show that, the optimal inter-

appointment times increase with the order of arrivals. We prove that, when

customer service times follow an exponential distribution, our system converges

asymptotically to the D/M/1 queueing system as the number of arrivals

approaches infinity. We also extend our analysis to systems with multiple servers.

5 - Approximations For Heavily-loaded G/ Gi/n+ Gi Queues

Yao Yu, North Carolina State University, 4335-3 Avent Ferry Road,

Raleigh, NC, 27606, United States,

yyu15@ncsu.edu

, Yunan Liu,

Ward Whitt

Motivated by applications to service systems, we develop convenient engineering

approximation formulas for the steady-state performance of heavily-loaded

G/GI/n+GI multi-server queues. Based on established Gaussian many-server

heavy-traffic limits in the efficiency-driven regime, however, the approximations

also apply to systems in the quality-and-efficiency-driven regime where traffic

intensity is close to 1 from above. Simulation experiments show that the proposed

approximations are effective for large-scale queueing systems for a significant

range of the traffic intensity and the abandonment rate.

TB34

204-MCC

Scheduling and Workload Assignment in Healthcare

Sponsored: Manufacturing & Service Oper Mgmt, Healthcare

Operations

Sponsored Session

Chair: Retsef Levi, MIT, 100 Main Street, Building E62-562, Cambridge,

MA, 02142, United States,

retsef@mit.edu

Co-Chair: Cecilia Zenteno, Massachusetts General Hospital,

55 Fruit Street, White 400, Boston, MA, 02114, United States,

azentenolangle@mgh.harvard.edu

1 - Integrated Scheduling And Capacity Planning With

Considerations For Patients’ Length-of-stay

Nan Liu, Columbia University, New York, NY, United States,

nl2320@columbia.edu

, Van-Anh Truong, Xinshang Wang,

Brett Anderson

Motivated by the shortcoming of current hospital scheduling and capacity

planning methods which often model different units in isolation, we introduce

the first dynamic multi-day scheduling model that integrates information about

capacity usage at more than one location in a hospital. In particular, we analyze

the first dynamic model that accounts for patients’ length-of-stay and

downstream census in scheduling decisions. Through numerical experiments on

real data, we show that there is substantial value in making integrated scheduling

decisions. In contrast, localized decision rules that only focus on a single location

of a hospital can result in up to a three-fold increase in total expenses.

2 - An Approximate Dynamic Programming Approach To Online

Capacity Planning For Rehabilitation Treatment

Ingeborg A. Bikker, University of Twente, Enschede, Netherlands,

i.a.bikker@utwente.nl

Ingeborg A. Bikker, Sint Maartenskliniek, Nijmegen, Netherlands,

i.a.bikker@utwente.nl

, Martijn Mes, Richard J Boucherie

We study an online capacity planning problem in which rehabilitation patients

require a series of appointments with several disciplines, within a certain access

time. In practice, appointments are typically planned in the first available time

slots, leaving no space for urgent patients. In our research, we plan capacity for

the appointment series of a patient at the moment of his/her arrival, in such a

way that the total number of requests planned within their required access time is

maximized. We formulate this problem as a Markov decision process, that takes

into account predicted future arrivals. An approximate dynamic programming

approach is used to obtain approximate solutions.

3 - Real-time Assignment Of Inpatients To Care Teams And Beds

Aleida Braaksma, Massachusetts Institute of Technology,

100 Main Street, E62-389, Cambridge, MA, 02142, United States,

braaksma@mit.edu

, Elizabeth Ugarph, Rhodes Berube,

Cecilia Zenteno, Walter O’Donnell, Retsef Levi

The Department of Medicine at Massachusetts General Hospital has undergone a

major care team and inpatient units redesign. In this work, we exploit the

potential of the redesign to develop algorithms for real-time assignment of

patients to care teams and to beds, aiming at shortening patient wait times, and

decreasing the load of Medicine patients boarding in the Emergency Department.

We use data-driven simulation to assess the effectiveness of the algorithms as well

as to evaluate several other interventions aimed at optimizing patient flow.

TB35

205A-MCC

Managing Service Systems with Strategic Servers

Sponsored: Manufacturing & Service Oper Mgmt,

Service Operations

Sponsored Session

Chair: Philipp Afeche, University of Toronto, Rotman School of

Management, Toronto, ON, M5S 3E6, Canada,

afeche@rotman.utoronto.ca

1 - Product Support Forums: Customers As Partners In The

Service Delivery

Stouras Konstantinos, INSEAD,

konstantinos.stouras@insead.edu,

Serguei Netessine, Karan Girotra

Online product support forums where customers can post complaints and

questions, or report issues about a product or service of a firm abound. A large

number of companies choose to crowdsource their product and service support

back to their customers, employing a few dedicated service operators. We

characterize the equilibrium behavior of such a novel business model for service

and compare it with a call center model.

2 - Incentive Based Service System Design: Staffing And

Compensation To Trade Off Speed And Quality

Amy Ward, USC Marshall School of Business, Los Angeles, CA,

United States,

amyward@marshall.usc.edu,

Dongyuan Zhan

In many service systems, there is a trade-off between service speed and quality,

and employees are paid based on both. We assume that the employees each

selfishly choose their own service speed in order to maximize their own expected

utility, which can have both a monetary and a non-monetary component. We

show that a simple linear staffing and compensation policy is a first best solution

in a large system limit. We further show the conditions under which a critically

loaded, efficiency-driven, quality-driven, or mixed regime - in which there is

simultaneous customer abandonment and server idling - emerges under a first-

best linear policy.

3 - Managing Workplace Flexibility: The Case Of Agents With

Task Preferences

Vasiliki Kostami, London Business School,

vkostami@london.edu

,

Rouba Ibrahim

In many workplaces, employees are expected to excel in different skills as part of

their job and are usually heterogeneous in their preferences to perform certain

tasks. They might be willing to give up a grain of their salary to avoid working on

the unlikable ones or prioritize the preferred ones. The manager, in turn, gains

extra freedom in his decision to allocate tasks by charging his servers for this task

discretion. We study how the choices change in equilibrium and we also derive

the optimal flexibility fee under two innovative flexibility schemes and different

heterogeneity scenarios.

TB35