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INFORMS Philadelphia – 2015

350

TD15

15-Franklin 5, Marriott

Capacity Management in Healthcare Operations

Sponsor: Optimization in Healthcare

Sponsored Session

Chair: Sandeep Rath, PhD Candidate, UCLA Anderson, B501 Gold Hall,

UCLA Anderson, Los Angeles, CA, 90024, United States of America,

Sandeep.Rath.1@anderson.ucla.edu

1 - Workforce Optimization with Patient Volume Variations and

Scheduling Pattern Generation for Hospital

Xuanqi Zhang, Philips Research North America, 345 Scarborough

Rd, Briarcliff Manor, NY, 10510, United States of America,

Xuanqi.Zhang@philips.com

, Jingyu Zhang

A two-stage model is created to optimize hospitals’ workforce which directly

affects hospital cost and patients satisfaction. The model uses simulation-based

stochastic optimization and heuristics to reduce staffing cost, avoid understaffing

and improve scheduling efficiency. The two-stage solution mechanism helps

diminish the gap between staffing optimization research and hospital scheduling

practice. Results were delivered to and tested in hospitals.

2 - Integer Programming Model to Solve Bloodmobiles

Routing Problem

Grisselle Centeno, Associate Professor, Univ. of South Florida,

4202 E. Fowler Ave., Tampa, FL, 33620, United States of America,

gcenteno@usf.edu,

Serkan Gunpinar

Blood is a scarce and perishable resource. Approximately 80% of the blood

donations are handled remotely via bloodmobiles. Blood center must determine

the number of bloodmobile units to operate, and designate their daily location(s)

to avoid shortfalls. In this study, a vehicle routing problem is developed using IP.

Optimal routing for each bloodmobile is identified using CPLEX solver & column

generation algorithm. Computational results will be discussed.

3 - A Binary Integer Programming Approximation for Vaccine

Vial Distribution

Zahra Azadi, Clemson University, 854 Issaqueena Trl. Apt#902,

Central, SC, 29630, United States of America,

zazadi@clemson.edu

, Sandra Eksioglu

One of the challenges faced by health care providers is designing an inventory

replenishment policy for vaccines to ensure a successful immunization of patients

while minimizing purchasing, inventory and wastage costs. Wastage incurs when

doses are disposed from opened vials after their safe use time. We propose an (s,

S) policy which determines the vial size, the reorder quantity, and the order up to

point which optimizes system-wide costs.

TD16

16-Franklin 6, Marriott

Inverse Optimization

Sponsor: Optimization/Linear and Conic Optimization

Sponsored Session

Chair: Daria Terekhov, Concordia University, 1455 De Maisonneuve

Blvd. W., Montreal, Canada,

dterekho@encs.concordia.ca

1 - A Goodness-of-fit Measure for Inverse Optimization

Daria Terekhov, Concordia University, 1455 De Maisonneuve

Blvd. W., Montreal, Canada,

dterekho@encs.concordia.ca

,

Taewoo Lee, Timothy Chan

Using an analogy between regression and inverse optimization, we develop a

framework for cost function estimation in linear optimization consisting of a

general inverse optimization model and a corresponding goodness-of-fit metric.

We propose several natural specializations of the framework that evaluate

goodness-of-fit in both the space of decisions and objective value.

2 - Inverse Optimization for the Analysis of Competitive Markets

Michael Pavlin, Wilfrid Laurier University, 75 University Ave,

Waterloo, ON, Canada,

mpavlin@wlu.ca

, John Birge, Ali Hortacsu

We consider use of inverse optimization as an empirical tool for uncovering

unobservable parameters in competitive markets. In particular, we apply these

techniques to the recovery of transportation and production cost parameters in

natural gas markets.

3 - Three Newsvendor Models for Capacity Allocation

Sam Choi, Assistant Professor, Shenandoah University, 1460

University Dr., Winchester, VA, 22601, United States of America,

schoi@su.edu

We propose three newsvendor models to allocate capacity under uncertainty:

inverse newsvendor, sequential newsvendor, and inverse sequential newsvendor

models. The inverse newsvendor model tries to find optimal demand size under

capacitated environment. The sequential newsvendor model deals with optimal

time durations given that demand sizes. Lastly, the inverse sequential newsvendor

model determines optimal demand sizes given that time durations. We apply

three models to healthcare settings.

TD17

17-Franklin 7, Marriott

Routing and Multidimensional

Assignment Applications

Sponsor: Optimization/Network Optimization

Sponsored Session

Chair: Jose Walteros, University at Buffalo, 342 Bell Hall, Buffalo, NY,

United States of America,

josewalt@buffalo.edu

1 - Gasoline Replenishment and Routing Problem with Variable

Demands and Time Windows

Yan Cheng Hsu, University at Buffalo (SUNY), 412 Bell Hall,

Buffalo, NY, 14228, United States of America,

yhsu8@buffalo.edu,

Rajan Batta, Jose Walteros

An iterative procedure is presented to tackle the gasoline replenishment problem

of gas stations and vehicle routing problem. The problem is formulated as

inventory model with a send-back cost due to the gasoline delivery property that

gas stations should accept ordered quantity completely, to find order quantity and

time window of gas stations, minimizing expected total cost, and as MIP model to

resolve vehicle routing problem, maximizing total profit for transporters.

2 - Solving Multidimensional Assignment Problems with

Combinatorial Decomposable Cost Functions

Hadi Feyzollahi, State University of New York at Buffalo,

316 Bell Hall, Buffalo, NY, United States of America,

hadifeyz@buffalo.edu,

Jose Walteros

We consider several variants of the multidimensional assignment problem (MAP)

where the costs of the optimal assignments are calculated by solving

combinatorial optimization problems. We focus our attention on the cases where

the assignments represent optimal TSP tours, spanning trees, and cliques. We

formulate these MAPs as set partitioning problems and solve them via branch and

price. We develop specific algorithms for solving the corresponding subproblems

for each of the aforementioned cases.

3 - Location-capacity-routing Problem of All-electric

Delivery Vehicles

Nan Ding, University of Buffalo, Buffalo, NY, United States of

America,

nanding@buffalo.edu

, Rajan Batta

All-electric truck adoption becomes one of the main addressees of green logistic

activities, with challenges of limited driving range and long charging time to route

these trucks. This problem aims to handle the challenges of congestion and

waiting at the charging stations. A joint location-capacity-routing (LCR) problem

to determine the optimal location and capacity of charging stations is formulated

and a meta-heuristic approach is proposed to solve this LCR problem.

4 - Large-scale Neighborhood Search for the Multi-dimensional

Assignment Problem

Alla Kammerdiner, New Mexico State University, P.O. Box 30001,

MSC 4230, Las Cruces, NM, 88003, United States of America,

alla@nmsu.edu,

Charles Vaughan

The multi-dimensional assignment problem is an NP-hard problem in high-

dimensional combinatorial optimization. This problem arises in the military

surveillance applications (e.g. sensor data fusion and target tracking) and in

healthcare for ranking exposures to falls. We propose and investigate a new large-

scale search algorithm for this computationally difficult problem. We evaluate the

performance of new algorithm on various instances and compare it to other state-

of-the-art procedures.

TD15