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INFORMS Philadelphia – 2015

318

3 - Retail Inventory Optimization for the U.S. Navy

Javier Salmeron, Naval Postgraduate School, Operations Research

Dept., GL-214, Monterey, CA, 93943, United States of America,

jsalmero@nps.edu

, Emily Craparo

We present a mixed-integer linear model to guide retail (site-based demand level)

inventory decisions for the Naval Supply Systems Command (NAVSUP), Weapons

Systems Support. An (s,Q) model optimizes reorder points and order quantities

for thousands of items in order to minimize deviations from target fill rates, with

demand uncertainty, budget and order quantity constraints. We compare branch-

and-bound with Lagrangian relaxation solutions, and our results with those from

other NAVSUP tools.

TC02

02-Room 302, Marriott

Network Applications in Homeland Security

Cluster: Homeland Security

Invited Session

Chair: Thomas Sharkey, Rensselaer Polytechnic Institute, 110 8th

Street, Troy, NY, 12180, United States of America,

sharkt@rpi.edu

1 - Novel Bilevel Programming Approaches for Interdicting

Multi-tiered Illegal Supply Chains

N. Orkun Baycik, Rensselaer Polytechnic Institute, 110 8th Street,

Center for Industrial Innovation, Troy, NY, 12180, United States

of America,

baycin@rpi.edu

, Thomas Sharkey, Chase Rainwater

We study a resource allocation problem faced by law enforcement in arresting

criminals in the drug flow and information flow networks. The objective of law

enforcement is to minimize the maximum amount of drugs reaching end users.

There exist interdependencies between the networks which leads to a network

interdiction problem with a discrete inner problem. We apply a novel dual-based

reformulation technique to solve an equivalent single-level problem and present

computational results.

2 - Bi-level Stochastic Network Interdiction Model for Deployment of

Cyber-security Countermeasures

Apurba Nandi, Mississippi State University, P.O. Box 9542,

Mississippi State University, Mississippi State, MS, 39762,

United States of America,

akn77@msstate.edu,

Hugh Medal

We study how best to deploy cyber-security countermeasures to protect a cyber-

network against attacks. We propose a bi-level stochastic network interdiction

model capturing the interaction between the attacker and the defender as a

sequential stackelberg game played on an attack graph. We consider that the

attacker’s knowledge about the topology of the attack graph, and the attacker’s

and the defender’s knowledge about each other’s actions are uncertain. We

develop algorithm to solve the model.

3 - Vitality Measures for Multigraphs with Applications to

Communications Networks

Sarah Nurre, Assistant Professor, Air Force Institute of

Technology, 2950 Hobson Way, WPAFB, OH, 45433, United

States of America,

Sarah.Nurre@afit.edu,

Christopher Hergenreter

We consider the problem of determining the most vital arcs to protect within a

multigraph, such as a communications network. Traditional vitality measures are

insufficient as they often examine single arc failures which have no impact on

multigraphs due to parallel arcs between pairs of nodes. Herein, we propose and

examine set based vitality measures for multigraphs. We perform and present the

results of promisting computational results multi-mode military communications

networks.

4 - Efficient Resilience Optimization of Interdependent Networks

Andres Gonzalez, Rice University, 6100 Main Street, MS-318,

Ryon 203, Houston, TX, 77005, United States of America,

andres.gonzalez@rice.edu,

Leonardo Dueñas-osorio,

Andres Medaglia, Mauricio Sánchez-silva

MIP models of the Interdependent Network Design Problem (INDP) have proved

to be effective tools to study and improve the resilience of systems of

interdependent infrastructure networks. Nevertheless, these MIP models have

limited scalability for large realistic systems. In this work, we present an enhanced

methodology to optimize the resilience of interdependent networks, based on the

joint use of decomposition techniques and efficient reformulations of the INDP

models.

TC03

03-Room 303, Marriott

Inventory Management I

Contributed Session

Chair: Jun-yeon Lee, California State University, Northridge, 18111

Nordhoff St, Northridge, CA, 91330-8378, United States of America,

junyeon.lee@csun.edu

1 - Forecasting of Demand Tail Distribution for Inventory Optimzation

Antony Joseph, Staff Data Scientist, Walmart Labs,

1001 National Avenue, Apt. 107, San Bruno, CA, 94066,

United States of America,

AJoseph0@walmartlabs.com

We discuss a novel technique for forecasting demand tail distribution for items in

the Walmart e-commerce inventory. The methodology first estimates the

quantiles of the demand distribution, followed by fitting a parametric distribution

using a suitable metric. The method is seen to be robust to high observed

variability in demand. Performance of the proposed approach is assessed using

Supply Chain metrics such as Weeks of Supply and Met Demand.

2 - Strategic Safety Stocks under Guaranteed Service and

Constrained Service Models

Ton De Kok, TU Eindhoven, Paviljoen E.04, P.O. Box 513,

Eindhoven, Netherlands,

a.g.d.kok@tue.nl

In this presentation we discuss our findings on a set of real-life supply chains

concerning the positioning of safety stocks in the supply chain. We compare the

results from models under the guaranteed service assumption and under the

constrained service assumption. The latter assumption follows the classical Clark

and Scarf model for serial multi-echelon systems. Furthermore, we discuss some

implications of the guaranteed service assumption in case of a bounded demand

formulation.

3 - Scarcity Effect on Dual-channel Supply Chain

Baoshan Liu, PhD Student, Huazhong University of Science and

Technology, School of Management, 1037 Luoyu Road, Wuhan,

China,

liubaooshan@qq.com

, Shihua Ma

We consider manufacturer’s dual-channel sale system where customers get the

product the direct channel with limited quantity. The limited quantity of the

direct channel releases a scarcity message that consumers will increase their

purchasing desire. Both the manufacturer and the retailer choose their own

decision variable to maximize their respective profits considering scarcity effect.

We model the problem using Stackelberg games and try to find the best solution

from different perspectives.

4 - An Optimal Inventory Replenishment Considering Product

Life Cycle

Shunichi Ohmori, Assistant Professor, Waseda University, Room

51-15-05, Okubo 3-4-1, Shinjuku, Tokyo, 169-8555, Japan,

ohmori0406@gmail.com,

Kazuho Yoshimoto

We consider a problem of determining initial and replenishment order quantities

that minimize the cost of lost sales, inventory holding cost, fixed ordering cost,

and obsolete inventory subject to stochastic demands. We model this problem as a

multi-stage problem where the demands and prices of products lie in some

uncertainty set depending on their life cycle. We develop a dynamic programming

method to solve this problem.

5 - Vendor-managed Inventory with a Time-dependent

Stockout Penalty

Jun-yeon Lee, California State University, Northridge, CA,

18111 Nordhoff St, Northridge, CA, 91330-8378,

United States of America,

junyeon.lee@csun.edu

We examine the problem of designing a vendor-managed inventory (VMI)

contract with a time-dependent stockout penalty in a stochastic (Q, r) inventory

system, in which the supplier is charged a stockout penalty that depends on the

length of the time during which stockouts occur at the customer. The customer

chooses the stockout penalty and offers the VMI contract to the supplier, and the

supplier can accept or reject the contract. We examine the optimal behaviors of

the two parties.

TC02