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INFORMS Nashville – 2016

393

WA86

GIbson Board Room-Omni

Telecommunications Modeling and Analysis

Sponsored: Telecommunications

Sponsored Session

Chair: Dimitri Papadimitriou, Nokia Bell Labs, Antwerp, Belgium,

Belgium,

dimitri.papadimitriou@nokia.com

1 - Reducing The Internet Adoption Gap Between Rich And Poor

Through Auction Mechanisms

Sergio Cabrales, Universidad de los Andes, Bogota, Colombia,

s-cabral@uniandes.edu.co

, Luis Andrés Marentes, Yezid Donoso,

Tilman Wolf, Anna B Nagurney

The latest Millennium Development Goals Report by the United Nations has

found that poor populations are behind in their internet adoption due to high

prices relative to available budgets. We design an auction mechanisms to suit the

allocation of bandwidth to user needs and their budgets. The article develops

another dimension to the topic of dynamic pricing models design, which is

resource allocations to favor target groups by finding Nash Equilibria of

underlying games using extreme value theory and a self-discrimination induced

on users. Results indicate the auction mechanism let increase allocation for the

population being part of the target group during peak periods.

2 - An Efficient Sampling-based Algorithm For Chance-constrained

Two-stage Problems

Jianqiang Cheng, Sandia National Laboratories, Livermore, CA,

United States,

jianqiang.cheng@gmail.com,

Richard Li-Yang Chen

We consider a chance constrained version of two-stage stochastic optimization

problems which minimizes the sum of the first-stage costs and the $p$-quantile of

the second-stage random costs. To solve this problem, we first apply sampling-

based approximation techniques, precisely, the partial sample average

approximation, to obtain an approximate deterministic formulation. Then, we

develop decomposition algorithms to solve the approximation problems.

Computational results on a stochastic network design show the strength of our

proposed approximation approach.

3 - On The Convex Piecewise Linear Unsplittable Multicommodity

Flow Problem

Bernard Fortz, Université Libre de Bruxelles, Brussels, Belgium,

bernard.fortz@ulb.ac.be

, Luis Gouveia, Martim Joyce-Moniz

We consider the problem of finding the cheapest routing for a set of commodities

over a directed graph, such that: i) each commodity flows through a single path,

ii) the routing cost of each arc is given by a convex piecewise linear function of

the load i.e. the total flow) traversing it. We propose a new mixed-integer

programming formulation for this problem. The linear relaxation of this

formulation gives an optimal solution for the single commodity case, and

produces very tight linear programming bounds for the multi-commodity case.

We also derive new valid inequalities for the compact basic model based on the

projection of the extended formulation.

4 - Mixed-integer Programming Model For The Joint Function

Placement And Assignment Problem

Dimitri Papadimitriou, Bell Labs,

dimitri.papadimitriou@alcatel-lucent.com

Function-oriented networks take as input demands described by unsplittable

finite sequences of operations and perform by executing at each node at most one

out of the n possible operations part of the sequence. The problem consists of

selecting the subset of nodes where to jointly place function operators and

assigning demands to paths crossing these nodes without exceeding both their

processing and arc capacity. Following the objective of minimizing the sum of

location, allocation and routing cost, we formulate the corresponding mixed-

integer program. Numerical experiments are conducted to evaluate the

performance tradeoffs with different placement and routing schemes/constraints.

WA87

Broadway A-Omni

Production and Scheduling

Contributed Session

Chair: Rasaratnam Logendran, Oregon State University, School of Mech

lndustrial & Mfgr Engr, Rogers Hall Rm 204, Corvallis, OR, 97331-

6001, United States,

logen.logendran@oregonstate.edu

1 - A Scheduling Algorithm For Additive Manufacturing

Kai-Oliver Zander, PhD Student, Texas Tech University,

Box 43061, Lubbock, TX, 79409-3061, United States,

Kai-Oliver.Zander@ttu.edu,

Milton Louis Smith

Recent studies have shown that additive manufacturing (AM) can enable an

increase in efficiency and generate an enhanced customer value. The increased

utilization of AM will lead necessarily to practical problems regarding production

scheduling. This presentation introduces a new scheduling method specifically

designed for an AM production environment with multiple machines. Based on

existing research, a new algorithm has been developed to allow an efficient

scheduling and batching of jobs for AM machinery. A simulation study shows the

effectiveness of the developed algorithm.

2 - Hybird Robust And Stochastic Production Planning On The Shop

Floor Considering Real Time Information

Zhengyang Hu, Research Assistant, Iowa State University,

100 Enrollment Services Center Ames, Ames, IA, 50011,

United States,

zhengya@iastate.edu,

Guiping Hu

Assembly and fabrication factories are universally challenged with the need to

continually reduce costs and improve efficiency while simultaneously becoming

increasingly flexible to meet ever-changing customer demand. A hybrid decision

making model is proposed to address the uncertainties on the shop floor

considering real time information. Stochastic programming is adopted to deal

with unexpected machine breakdown. Robust optimization is utilized to address

the demand uncertainty considering the worst-case scenario. The goal is to

minimize the total production cost and the worst-case cost associated with unmet

demand. A case study based on a manufacturing shop floor is presented.

3 - Quantifying The Performance Of The Tabu Search/Path Relinking

Algorithm For Batch Scheduling In Hybrid Flow Shops

Rasaratnam Logendran, Professor, Oregon State University, School

of Mech lndustrial & Mfgr Engr, Rogers Hall Rm 204, Corvallis,

OR, 97331-6001, United States,

logen.logendran@oregonstate.edu

,

Omid Shahvari

We address a batching and scheduling problem in hybrid flow shops with the

objective of simultaneously minimizing total weighted completion time and total

weighted tardiness. It is assumed that dynamic job release and machine

availability times exist, batch sizes can have desired lower bounds, and jobs can

skip one or more stages. The performance of the tabu search/path relinking

algorithm is evaluated based on tight lower bounds identified by the column

generation technique.

WA88

Broadway B-Omni

Military Applications I

Contributed Session

Chair: Ali Pala, PhD Student, University at Buffalo, SUNY, 271 Palmdale

Drive, Apt 5, Buffalo, NY, 14221, United States,

alipala@buffalo.edu

1 - Military Modeling Of Unconventional Conflict

Dean S Hartley, Principal, Hartley Consulting, 106 Windsong Lane,

Oak Ridge, TN, 37830, United States,

DSHartley3@comcast.net

Unconventional conflict refers to conflicts involving at least one nation state and

which is not dominated by conventional combat. There is significant overlap

between unconventional conflict and operations other than war (OOTW) and

irregular warfare (IW). While unconventional conflict needs a whole of

government approach, the military is the only organization that is organized and

staffed to undertake large and long-term modeling efforts in this domain. This

presentation will investigate many of the issues in modeling unconventional

conflict.

WA88