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INFORMS Nashville – 2016

430

WC10

103C-MCC

Designing Energy and Water Supply Chains

for Prosperity

Sponsored: Energy, Natural Res & the Environment, Energy

Sponsored Session

Chair: Yao Zhao, 1 Washington Street, Newark, NJ, 07102,

United States,

yaozhao@andromeda.rutgers.edu

1 - Distressed Selling By Farmers: Policy Recommendations

Shivam Gupta, University of Texas Dallas,

sxg104920@utdallas.edu,

Milind Dawande, Ganesh Janakiraman,

Ashutosh Sarkar

In many developing countries, farmers sell a significant portion of their produce

at prices much lower than the guaranteed support price offered by the

government. We build a dynamic programming model to analyze this practice

and illustrate how it can serve as a useful decision making tool for policy

recommendations.

2 - Designing Hydro Supply Chains For Water, Food, Energy And

Flood Nexus

Kwon Gi Mun, Assistant Professor, Fairleigh Dickinson University,

Teaneck, NJ, United States,

kgmun@fdu.edu

, Raza Ali Rafique,

Yao Zhao

The interconnected issues of water, food, energy and flood are among the most

formidable challenges faced by developing countries. We apply SCM principles to

water resource development and provide the end-to-end and dynamic

perspectives needed in the expansion of hydropower network, and also identify

the unique features and economies of hydropower systems and construct an

integrated location optimization model to capture the conflicts of these issues, to

explore the synergy among different sectors, and to maximize the overall benefit.

With the real-life situation of Pakistan, we provide solutions that outperform

common practices in all aspects of energy, irrigation, and flood control.

3 - Agricultural Support Prices In Developing Economies: Operational

Analysis And Its Use In Policy-making

Harish Guda, University of Texas Dallas,

hxg131530@utdallas.edu

,

Tharanga Kumudini Rajapakshe, Milind Dawande,

Ganesh Janakiraman

The Guaranteed Support Price (GSP) scheme has been adopted in several

developing economies. Through this scheme, the government promises to procure

a crop from farmers at a guaranteed (and attractive) price announced ahead of

the selling season, and then distributes the procured amount to the

underprivileged population. The goal of this scheme is twofold: (a) as a supply-

side incentive, to ensure high output from farmers, and (b) as a demand-side

provisioning tool, to subsidize the consumption of the poor. In this talk, I present

our work on the operational decisions of the farmers and the government under

the GSP scheme, its impact on social welfare, and the use of our analysis to

policy-makers.

4 - Coordinating And Sharing Demand-side Energy Resources –

A Conceptual Design

Wei Qi, Lawrence Berkeley National Laboratory,

WQi@lbl.gov,

Bo Shen, Hongcai Zhang, Zuo-Jun Max Shen

We present a coordination scheme for shared use of demand-side energy

resources (e.g. distributed generation, electric vehicles, etc.). Multiple users form

a sharing community within which trading electricity improves economic

efficiency. We develop a cost splitting scheme to ensure the participation of the

aggregator and the users.

WC11

104A-MCC

Decision Making Under Multistage Uncertainty

Sponsored: Optimization, Linear and Conic Optimization

Sponsored Session

Chair: Kartikey Sharma, Northwestern University, 2145 Sheridan Rd,

Evanston, IL, 60208, United States,

kartikeysharma2014@u.northwestern.edu

Co-Chair: Omid Nohadani, Northwestern University,

Northwestern University, Evanston, IL, 60208, United States,

nohadani@northwestern.edu

1 - Adjustable Robust Optimization Via Fourier-motzkin Elimination

Jianzhe Zhen, Tilburg University, Tilburg, Netherlands,

J.Zhen@tilburguniversity.edu,

Melvyn Sim, Dick den Hertog

We demonstrate how adjustable robust optimization (ARO) problems with fixed

recourse can be casted as static robust optimization problems via Fourier-Motzkin

elimination (FME). Through the lens of FME, we characterize the structures of

the optimal decision rules for a broader class of ARO problems. A scheme based

on a blending of classical FME and a simple Linear Programming technique, that

can efficiently remove redundant constraints, is used to reformulate ARO

problems. This generic reformulation technique, contrasts with the classical

approximation scheme via linear decision rules, enables us to solve adjustable

optimization problems to optimality.

2 - Distributionally Robust Inventory Control When Demand Is

A Martingale

Linwei Xin, U of Illinois at Urbana-Champaign,

lxin@illinois.edu

,

David Goldberg

Independence of random demands across different periods is typically assumed in

multi-period inventory models. In this talk, we consider a distributionally robust

model in which the sequence of demands must take the form of a martingale

with given mean and support. We explicitly compute the optimal policy and

value, and shed light on the interplay between the optimal policy and worst-case

martingale. We also compare to the analogous setting in which demand is

independent across periods, and identify interesting differences between these

two models.

3 - Robust Optimization With Decision Dependent Uncertainty Sets

Kartikey Sharma, Northwestern University,

kartikeysharma2014@u.northwestern.edu

, Omid Nohadani

Robust optimization is increasingly used to solve multistage optimization

problems. In most such problems, the uncertainty sets are fixed. However in

many cases, these sets can be influenced by decision variables. We present a two-

stage robust optimization approach in which future uncertainty sets can be

affected by the decisions made in the first stage. We illustrate the advantages of

this model on a shortest path problem with uncertain arc lengths.

4 - Adaptive Probabilistic Satisficing Models

Zhi Chen, National University of Singapore, National University of

Singapore, Singapore, Singapore,

chenzhi@u.nus.edu

, Melvyn Sim

In this paper, we study adaptive probabilistic satisficing models that can be used

for multi-stage decision making. We introduce the finite adaptability into

probabilistic satisficing models to overcome the difficulties of incorporating

recourse decisions as arbitrary functions of unfolded uncertain parameters. For

two-stage problems, we show that the complete adaptability is exact to the finite

adaptability, under a mild monotone condition. We propose an iterative scheme

for increasing the level of probabilistic satisficing. We discuss extensions of our

results for multi-stage problems. Our computational studies present that the

probabilistic satisficing solutions can be competitive.

WC12

104B-MCC

Recent Advances in Decision Diagrams

for Optimization

Sponsored: Optimization, Integer and Discrete Optimization

Sponsored Session

Chair: Andre Augusto Cire, University of Toronto Scarborough,

Toronto, ON, Canada,

acire@utsc.utoronto.ca

1 - A Generic Approach To Solving Sequencing Problems With

Time-dependent Setup Times

Joris Kinable, Carnegie Mellon University, Pittsburgh, PA,

United States,

jkinable@cs.cmu.edu

, Andre Augusto Cire,

Willem-Jan Van Hoeve

Tailoring dedicated solution approaches to solve scheduling and routing problems

is often complex and time consuming. This work presents a flexible framework

based on Constraint Programming, Mixed Integer Programming and Decision

Diagrams to solve hard scheduling problems including the Time-Dependent (TD)

TSP, TD-SOP and TD-TSP with Time Windows. The proposed method is

sufficiently generic to render it applicable to a variety of related sequencing

problems. Moreover, experiments indicate significant performance improvements

over pure MIP or CP approaches.

2 - Decision Diagram Bounds For Integer Programming Models

Christian Tjandraatmadja, Carnegie Mellon University, Pittsburgh,

PA, United States,

ctjandra@andrew.cmu.edu,

Willem-Jan Van Hoeve

Decision diagrams are capable of generating strong bounds in practice for discrete

optimization problems when a certain structure is present. However, generalizing

decision diagram techniques to integer programming can be challenging due to

the lack of clear structure to exploit. We propose a framework to generate

decision diagram bounds that aims to overcome this issue. We start with a set of

base constraints that are well suited for decision diagrams and progressively

incorporate further constraints via strengthening and Lagrangian relaxation. We

discuss computational experiments on a set of binary optimization problems.

WC10