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INFORMS Nashville – 2016

135

MA40

207B-MCC

Supply Chain/ Inventory in Applied Probability I

Sponsored: Applied Probability

Sponsored Session

Chair: Yehua Wei, Duke University, Durham, Durham, NC, 27708,

United States,

yehua.wei@duke.edu

1 - Online Resource Allocation With Limited Flexibility

Arash Asadpour, NYU Stern, New York, NY, 10012, United States,

aasadpou@stern.nyu.edu,

Xuan Wang, Jiawei Zhang

We consider a class of online resource allocation problems in which there are n

types of resources with limited initial inventory and n demand classes. In this

paper, we focus on a special class of structures with limited flexibility, the long

chain design, which was proposed by Jordan and Graves (1995) and has been an

important concept in the design of sparse flexible processes. We show the

effectiveness of the long chain design in mitigating supply-demand mismatch

under a simple myopic online allocation policy. In particular, we provide an upper

bound on the expected total number of lost sales that is irrespective of how large

the market size is.

2 - Inventory Management For Assemble To Order Systems With

General Bill Of Materials And Deterministic Lead Times

Qiong Wang, University of Illinois at Urbana - Champaign,

qwang04@illinois.edu,

Martin I Reiman, Haohua Wan

We study inventory management for minimizing the long-run average cost in

Assemble-to-Order inventory systems. In our previous work, we have developed

a stochastic programming based approach that gives rise to a lower bound on the

cost objective, and for systems with identical lead times, asymptotically-optimal

replenishment and allocation policies. Here we generalize our policies to prescribe

a complete solution for systems with general Bill of Materials and general

deterministic lead times. Our discussions focus on the design of a novel

replenishment policy for the general case and asymptotic optimality of the entire

approach.

3 - Managing Multi-period Production Systems With Limited

Process Flexibility

Yuan Zhong, Columbia University, 500 W. 120th St., Mudd 344,

New York, NY, 10027, United States,

yz2561@columbia.edu

Cong Shi, Yehua Wei

We develop a theory for the design of process flexibility in a multi-period

production system. We propose and formalize a notion of “effective chaining”

termed the Generalized Chaining Condition (GCC). We show that any partial

flexibility structure that satisfies GCC is near-optimal under a class of policies

called the Max-Weight policies. Furthermore, we show that GCC can be satisfied

using just k arcs, where k is the equal to the number of products plus the number

of plants.

4 - A Joint-replenishment System With Convex Purchase Costs

Paul H Zipkin, Duke University,

Paul.Zipkin@Duke.edu

We consider the problem of replenishing inventories of several items facing

stochastic demands, where the order cost is jointly convex, representing

diseconomies of scale such as capacity limits. We want to find a good policy and

also to understand the qualitative behavior of the system. To these ends, we show

that the system enjoys a property called M-natural-convexity. This is a powerful

analytical tool, but it poses some technical challenges.

MA41

207C-MCC

FSS Tutorial

Sponsored: Financial Services

Sponsored Session

Chair: Rafael Mendoza, McCombs School of Business, Austin, TX,

United States,

rafael.mendoza-arriaga@mccombs.utexas.edu

MA42

207D-MCC

Systemic Risk and Financial Networks

Sponsored: Financial Services

Sponsored Session

Chair: Agostino Capponi, Columbia University, New York, NY,

United States,

ac3827@columbia.edu

Co-Chair: Agostino Capponi, Columbia University, New York NY,

United States,

agcappo@gmail.com

1 - An Empirical Analysis Of The Centrally Cleared Credit Default

Swaps Market

W. Allen Cheng, Columbia University, 500 W 120th st, 333 Mudd,

New York, NY, 10027, United States,

wc2232@columbia.edu

In this talk we present an empirical analysis of regulatory Credit Default Swaps

data collected by the U.S. Commodity Futures Trade Commission according to

Title 17 Chapter 1 part 39 of the Code of Federal Regulations. We discuss salient

features of traded contracts, open positions, and margin posting. We also

investigate feedback effects in price volatility and intraday margin calls.

2 - Systemic Risk And Liquidity Provision

Xu Sun, Columbia University,

xs2235@columbia.edu

,

Agostino Capponi, David D Yao

We introduce an interbanking network model in which banks interact with each

via borrowning/lending transactions, and can be assisted by a regulator who

injects capital into the system to prevent insolvency. The regulated system follows

a reflected multi-dimensional Ornstein-Uhlenbeck process with state dependent

drift coefficient. We investigate how the concentration of interbanking activities

affects the earliest intervention time as well as the market concentration, i.e the

heterogeneity of asset value in the system.

3 - Systemic Risk Under Heterogeneous Beliefs

Benjamin Bernard, Columbia University,

bb2794@columbia.edu

Agostino Capponi

We consider an interbank network of bilateral exposures, where each bank only

knows its own contracts but not the exposures between other pairs of banks.

Defaults are costly and may lead to financial contagion that spreads through the

network. We model this spread of insolvency as a dynamic game, where banks

have the ability to intervene and join a rescue consortium to save the insolvent

banks. Banks will do so only if an intervention is incentive compatible given their

beliefs on the network. We analyze the set of sequential equilibria in these games

with heterogeneous beliefs and contrast the results to the equilibrium outcomes

with complete information.

4 - Model Risk In Financial Networks

Peng-Chu Chen, Purdue University, West Lafayette, IN,

United States,

chen621@purdue.edu,

Agostino Capponi

We introduce a financial network model which accounts for uncertainty in the

interbank liabilities. We define the systemic loss uncertainty as the difference

between the maximum and minimum loss in the financial system. We investigate

how the level of interbank intermediation in the financial system impacts

systemic loss uncertainty. Our findings indicate the existence of a threshold above

which higher intermediation reduces both systemic loss and the resulting

uncertainty. When the intermediation level falls below, further increases reduce

the minimum and maximum loss, but this comes at the expenses of higher

uncertainty in the loss outcome.

MA43

208A-MCC

Decision Analysis, Game Theory, and

Disaster Management I

Sponsored: Decision Analysis

Sponsored Session

Chair: Jun Zhuang, University at Buffalo, SUNY, Buffalo, NY,

United States,

jzhuang@buffalo.edu

Co-Chair: Jing Zhang, University at Buffalo, SUNY, Buffalo, NY,

United States,

jzhang42@buffalo.edu

1 - Linear Programming Input Output Models For Energy Resilience

Adam Ng Tsan Sheng, National University of Singapore,

isentsa@nus.edu.sg

We develop an approach to study the energy supply resilience of an economy

using linear programming and economic input-output analysis. In particular, we

propose an energy resilience index by examining the maximum level of energy

supply reduction that the economy can endure without sacrificing domestic

demands. A mixed integer model is developed to compute the resilience index

efficiently. The methodology is applied to a case study using China data to study

the energy resilience under different generation portfolio assumptions. We

demonstrate how our models can be used to uncover important inter-sectoral

dependencies. Extensions of the approach to include recovery effects are also

presented.

MA43