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INFORMS Nashville – 2016

263

3 - System Optimal Transit Assignment With Flow-dependent Dwell

Times

Alireza Khani, University of Minnesota, 136 Civil Engineering

Building, 500 Pillsbury Drive S.E., Minneapolis, MN, 55455,

United States,

akhani@umn.edu

Travel time of transit vehicles between stops is constant with respect to passenger

flow. However, dwell time at stops changes by more boarding and alighting of

passengers. This makes the transit assignment an asymmetric problem. To model

this phenomenon, an optimization problem is developed and its mathematical

properties are investigated.

TA90

Broadway D-Omni

Opt, Stochastic II

Contributed Session

Chair: Xiting Gong, Assistant Professor, The Chinese University of Hong

Kong, Room 506, William M. W. Mong Engineering Building, Shatin

N.T., Hong Kong,

xtgong@se.cuhk.edu.hk

1 - Modeling AS/RS Travel In Order Picking Applications

Jingming Liu, Research Assistant, 1986, 920 N Leverett, Apt 824,

Fayatteville, AR, 72701, United States,

jl011@uark.edu

,

John A White

An order picking operation is modeled as an M|G|1 queueing problem, with the

S/R machine being the server and order picking stations being customers. Service

time is the time required for an automated storage and retrieval machine to travel

from an order picking station to a random storage location and, then, to an order

picking station. To obtain the variance for service time, the density function is

derived. Because the two travel times are statistically dependent random

variables, results obtained previously for S/R travel do not apply. Random

demands for replenishment of order picking stations and Chebyshev travel by the

S/R machine are assumed.

2 - Stochastic Quasi-newton Methods For Non-strongly Convex

Problems: Convergence And Rate Analysis

Farzad Yousefian, Assistant Professor, Oklahoma State Univeristy,

317D Engineering North, School of Industrial Engineering &

Management, Stillwater, OK, 74074, United States,

farzad.yousefian@okstate.edu

, Angelia Nedich, Uday Shanbhag

Motivated by applications in machine learning, we consider stochastic quasi-

Newton (SQN) methods. Traditionally, the convergence of SQN schemes relies on

strong convexity. To our knowledge, no rate statements exist in the absence of

this assumption. We consider merely convex problems and develop an SQN

scheme where both the gradient mapping and the Hessian approximation are

regularized and updated in a cyclic manner. Under suitable assumptions on the

stepsize and regularization parameters, the convergence is shown in both almost

sure and mean senses and the rate of convergence is derived in terms of function

value. The empirical results on a binary classification problem are promising.

3 - Optimization With Reference-based Almost

Stochastic Dominance

Jian Hu, Assistant Professor, University of Michigan - Dearborn,

4901 Evergreen Rd., Dept. of IMSE,, Dearborn, MI, 48128,

United States,

jianhu@umich.edu

Stochastic dominance is a preference relation of uncertain prospect defined over a

class of utility functions. While this utility class represents basic properties of risk

aversion, it includes some extreme utility functions rarely characterizing a

rational decision maker’s preference. We introduce reference-based almost

stochastic dominance (RSD) rules which well balance the general representation

of risk aversion and the individualization of the decision maker’s risk preference.

We also propose RSD constrained stochastic optimization model and develop an

approximation algorithm based on Bernstein polynomials.

4 - Balancing Flexibility And Inventory In Workforce Planning With

Learning And Uncertain Demand

Silviya Valeva, University of Iowa, 710 Carriage Hill, Apt 5,

Iowa City, IA, 52246, United States,

silviya-valeva@uiowa.edu,

Barrett Thomas, Mike Hewitt

Explicitly modeling human learning in task assignment problems offers

opportunities for better decision making that can result in both increased revenue

and decreased lost sales. We present an assignment model incorporating both

individual learning and uncertainty in demand and compare its performance to

several myopic models. Our results demonstrate that cross training the workforce

can be a successful way to hedge against uncertain demand. We further explore

the use of practice assignments and inventory building as ways of creating

capacity and preparing to meet future demand.

5 - Approximation Algorithms For Capacitated Perishable Inventory

Systems With Positive Lead Times

Xiting Gong, Assistant Professor, The Chinese University of Hong

Kong, Room 506, William M. W. Mong Engineering Building,

Shatin N.T., Hong Kong,

xtgong@se.cuhk.edu.hk

, Xiuli Chao,

Cong Shi, Chaolin Yang, Huanan Zhang, Sean Zhou

Perishable inventory system with positive lead time and finite ordering capacity is

an important but notoriously difficult class of problems in both analysis and

computation. Its optimal control policy is extremely complicated, and no effective

heuristic policy has been proposed in the existing literature. In this paper, we

develop an easy-to-compute approximation policy for this class of problems and

show that it admits a theoretical constant-factor worst-case performance

guarantee under most demand models of practical interest. Our numerical study

shows that the proposed policy performs consistently well.

TA94

5th Avenue Lobby-MCC

Technology Tutorial: Frontline/ SAS-GAP/EDU

Technology Tutorial

1 - Frontline:

AnalyticSolver.com:

Data Mining, Simulation And

Optimization In Your Web Browser

Daniel Fylstra, Frontline Systems, Inc., Incline Village, NV,

Daniel@solver.com AnalyticSolver.com

is the new, simple, point-and-click way to create and run

analytic models using only your web browser - that also works interchangeably

with your spreadsheet. Whether you need forecasting, data mining and text

mining, Monte Carlo simulation and risk analysis, and conventional and

stochastic optimization, you can “do it all” in the cloud. We’ll show how you can

upload and download Excel workbooks, pull data from SQL Server databases and

Apache Spark Big Data clusters, solve large-scale models, and visualize results -

without leaving your browser. If you’re more comfortable working on your own

laptop or server, we’ll show how you can do that, too.

2 - SAS: Analysis Of a Presidential Debate Using SAS Text Analytics

André de Waal, Global Academic Program, Cary, NC, 27513,

United States

During the last year of a presidential term in the United States of America, the

race to the White House has everybody excited. News channels and newspapers

provide “expert” analysis of day to day events. However, many of the expert

opinions are biased and reflect a commentator’s political viewpoint or affiliation.

Can text mining be used to look at the data objectively and cut through the

political rhetoric? In this talk, a script of one of the 2016 presidential debates is

analyzed with SAS Text Miner. An attempt is made to look at the data

“objectively” and to let the data speak. Words are counted and stemmed,

documents are grouped into clusters, topics are identified and candidates are

analyzed while trying to determine what separates one candidate from the rest of

the field. Although it is impossible to predict using text mining alone who will

win the presidential election, text mining could provide some insight into the

election process (of which the debates are an integral part) that is not generally

available to the general populace and might influence their choice of presidential

candidate.

TA94