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INFORMS Philadelphia – 2015

479

2 - Addressing Complexity of Hurricane Sandy with Innovative

Kingdon’s Model

Eliot Evans, Lt Col & Graduate Student, George Mason University

School of Public Policy, Government, & International Affairs,

12308 Cicero Drive, Alpharetta, GA, 30022,

United States of America,

eliotevans11@gmail.com

Losses due to the impact of Hurricane Sandy in 2012 raise the concern of the

effectiveness of disaster management and its operations. FEMA’s Hurricane Sandy

After-Action Report revealed three significant problems 1) lack of collaboration 2)

inadequate survivors’ needs met, 3) shortage of an agile, professional emergency

management workforce. This research aims to analyze the complexity of

Hurricane Sandy and its problems, to propose an agenda and alternatives, and to

recommend public policies.

3 - throughput Analysis of Reserve Component Mobilization T

raining Capacity

Katharina Best, Associate Operations Researcher, The RAND

Corporation, 1200 S. Hayes St, Arlington, VA, 22202,

United States of America,

kbest@rand.org,

Jeremy Eckhause, Igor

Mikolic-torreira, Michael Linick

Army Reserve Component units require administrative processing and varying

amounts of high-quality training at specialized installations before deploying to

contingency locations. Capacity at such facilities is limited and opening bases

quickly can be problematic. We present a mixed-integer programming model that

optimizes training schedules under different assumptions about training time,

facilities ramp-up, unit type prioritization, demand timing, and Active/Reserve

Component force mix.

4 - Optimal Multi-stage Allocation via Approximate

Dynamic Programming

Darryl Ahner, Asst Professor, Air Force Institute of Technology,

2950 Hobson Way, Wright-Patterson AFB, OH, 45433-7765,

United States of America,

darryl.ahner@afit.edu

, Carl Parson

We consider the optimal allocation of resources over multiple stages to a

collection of tasks with the objective of maximizing the reward for completing

tasks where the task arrivals follow a known distribution, namely stochastic

weapon-target assignment. Simulation and mathematical programming are used

within a dynamic programming framework to update functional approximations

representing future rewards using subgradient information and thereby

determine allocation strategies.

WE02

02-Room 302, Marriott

Scheduling V

Contributed Session

Chair: Majid Algwaiz, Engineering Specialist, Saudi Aramco Oil

Company, P.O. Box 19422, Dhahran, 31311, Saudi Arabia,

majid.gwaiz@gmail.com

1 - A Genetic Algorithm for the Resource Leveling Problem with

Generalized Precedence Relations

Hongbo Li, Shanghai University, School of Management, Shangda

Road 99, Shanghai, 200444, China,

ishongboli@gmail.com

,

Yinbin Liu, Li Xiong

We present a bi-chromosome based genetic algorithm (BGA) for the resource

leveling problem with generalized precedence relations. In the BGA, a solution is

represented by a bi-chromosome that consists of two parts: a random key vector

and a percentage based shift vector. To demonstrate the effectiveness of our BGA,

we conduct extensive computational experiments on a set of benchmarks with up

to 500 activities and compare the BGA with two best metaheuristics in the

literature.

2 - Results on throughput Maximization with Limited

Advance Information

Ishwar Murthy, Professor, Indian Institute of Management

Bangalore, Bannerghatta Road, Bangalore, 560076, India,

ishwar@iimb.ernet.in

We consider throughput maximization, given limited advance information. For

problems where job lengths are equal, we propose an on-line algorithm whose

competitive ratio improves as the duration of the advance information increases.

Further, the performance of this on-line algorithm asymptotically approaches that

of the off-line algorithm. More importantly, we help to identify the structure of

the worst case instances – those that correspond to the competitive ratios.

3 - A Lower Bound Analysis for the Flowshop Scheduling Problem

with Makespan Minimization

Carlos Ernani Fries, Professor, Federal University of Santa

Catarina, Caixa Postal 5185, Florianopolis, SC, 88040-970, Brazil,

carlos.fries@ufsc.br

, Bruno De Souza Alves

This paper deals with a lower bound (LB) analysis for makespan measure of FSP.

The LB measures are compared with solutions obtained with exact models and

the popular CDS heuristic. Simulations varying the number of jobs, machines and

processing times show that solutions discrepancies tend to increase until N less

than M and decrease for N greater than M, with largest discrepancy observed for

N equal M. The divergences tend to be larger when greater variability on

processing times is considered.

4 - Stochastic Patient Scheduling by Chance

Constraint Programming

Bulent Erenay, PhD Candidate, Wilkes University,

5667 Barney Lane, Columbus, OH, 43235,

United States of America,

be977209@ohio.edu

A stochastic patient scheduling problem is studied by using chance constraint

programming. The time patient stays at the hospital is considered as probablistic.

5 - Optimizing Ship Loading Schedules for Oil and Gas Terminals

Majid Algwaiz, Engineering Specialist, Saudi Aramco Oil

Company, P.O.Box 19422, Dhahran, 31311, Saudi Arabia,

majid.gwaiz@gmail.com,

Abdulaziz Nutaifi

We consider in this paper an oil and gas firm that owns its entire hydrocarbon

supply chain with many production facilities and ship loading terminals.

Customers make purchases a month in advance but only provide a four day

notice on the specific pickup times and the requested products and quantities. We

present a MILP formulation to manage the hydrocarbon network and assign ships

to berths on an hourly basis. Our objective is to minimize the ship waiting times

along with the demurrage fees.

WE03

03-Room 303, Marriott

Inventory Management - Inventory Policies

Contributed Session

Chair: Jim Shi, Assistant Professor, New Jersey Institute of Technology,

University Heights, Newark, NJ, 07102, United States of America,

jshi@njit.edu

1 - Stochastic Integrated Location-inventory Up-to-S Model in

Distribution System

Maxim Bushuev, Assistant Professor, Kent State University -

Geauga, 1835 Beacon Hill Cir #21, Cuyahoga Falls, OH, 44221,

United States of America,

mbushuev@kent.edu

A stochastic integrated location-inventory problem with up-to-S policy is

discussed. Simple proportional allocation rule is proposed which allows defining

and solving the problem as convex optimization. This is the first stochastic model

in the area of integrated location-inventory problems.

2 - An Extension of the Stochastic Dynamic Lot-Size Model of

Vargas to a Model with Uncertain Production

Hendrik Vermuyten, PhD Student, KU Leuven, Warmoesberg 26,

Brussel, 1000, Belgium,

hendrik.vermuyten@kuleuven.be

We derive the optimal solution for the production planning for a single product

for every period in the planning horizon, when demand is stochastic and non-

stationary and the achievable production per period is stochastic as well. The

model is an adaption of the stochastic dynamic lot-size model of Vargas without

production restrictions. Simulation studies show a significant improvement in

expected costs for this model compared to the model of Vargas in case of

uncertain production capacity.

3 - Extended MIP Formulations for the Stochastic Lot-sizing Problem

Huseyin Tunc, Hacettepe University, Institute of Population

Studies, Sihhiye, Ankara, Turkey,

huseyin.tunc@hacettepe.edu.tr

We revisit the certainty equivalent mixed integer programming formulations of

the stochastic lot-sizing problem under the static-dynamic uncertainty strategy,

and develop extended formulations thereof. The extended formulations are far

more time-efficient than the existing formulations in the literature. Also, instead

of working with a pre-determined piece-wise linear approximation of the cost

function, they can find a minimum cost solution by means of a novel dynamic cut

generation procedure.

4 - Stockout Risk Control of a Continuous

Production-inventory System

Jim Shi, Assistant Professor, New Jersey Institute of Technology,

University Heights, Newark, NJ, 07102, United States of America,

Jshi@njit.edu

This paper studies the stockout control problem pertaining to a single-product

continuous-time production-inventory system with a constant replenishment

rate. Our objective is to optimize the expected system cost subject to a

predetermined stockout acceptance level.

WE03