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INFORMS Nashville – 2016

359

5 - An Experimental Study Of Customer’s Risky And Egalitarian

Behaviors In a Clearance Sales Problem

Junlin Chen, Associate Professor, Central University of Finance

and Economics, 39 South College Road, Haidian District, Beijing,

100081, China,

chenjunlin@cufe.edu.cn

, Yingshuai Zhao

We consider a monopolist set prices in a two-period selling season such that low-

value customers postpone the purchase for a lower price but subject to rationing

risk, whereas high-value customers buy regularly. Traditionally, the optimal

regular price is usually set with making high-value customers indifferent between

buying early and late, and then basically all high-value customers are assumed to

buy regularly. By conducting laboratory experiments, we provide evidence

against this basic assumption. We demonstrate that the behavior of subjects can

be explained by risky and egalitarian behaviors. We also find evidence about

irrational waiting and myopic buying strategic customers.

TD76

Legends D- Omni

Decision Analysis II

Contributed Session

Chair: Nikita Korolko, PhD Candidate, Massachusetts Institute of

Technology, 1 Amherst st, E40-106 ORC, Cambridge, MA, 2139, United

States,

korolko@mit.edu

1 - Impact Of Service Payment On Product And Service Supply Chain

Considering Time Value

Jiayuan Liu, Tsinghua University, Tsinghua University, 14 Zijing

Department, Beijing, 100084, China,

liujiayuan46@163.com,

Wanshan Zhu

We investigate a supply chain consisting of a service provider (e.g. AT&T) and a

product maker (e.g. Apple), where the payment for service is in installments

through a contract time frame. By modeling the installment payment and time

value and solving the equilibrium strategies of pricing and inventory decisions,

we analyze the impact of the service payment on the structure of the supply

chain.

2 - Almost Stochastic Dominance When Utility Is Action-dependent

Chunling Luo, National University of Singapore, Singapore,

Singapore,

c_luo@u.nus.edu

, Chin Hon Tan

Current stochastic dominance rules assume that utility function is identical across

all actions. This assumption makes stochastic dominance rules not applicable

under some practical settings. To help reveal decision makers’ preferences under

these settings, we generalize almost stochastic dominance by allowing utility

functions to differ among actions.

3 - Decision Analysis For Locating Partial Building Renovations

Regarding Adaptive Reuse

Kristopher Harbin, Doctoral Candidate, The University of Alabama,

Tuscaloosa, AL, 35487-0205, United States,

kbharbin@ua.edu

When considering a building renovation for an adaptive reuse there are

numerous building attributes and systems that should be considered. These

building attributes should be compared to the proposed reuse and any alterations

needed should be noted. The impact of these alterations should be noted and

assigned an appropriate weight reflecting the level of impact. This is done for

multiple areas of the building which helps ensures a complete listing of the

renovation options are seen.

4 - Covariate-adaptive Optimization In Online Clinical Trials

Nikita Korolko, PhD Candidate, Massachusetts Institute of

Technology, 1 Amherst st, E40-106 ORC, Cambridge, MA, 02139,

United States,

korolko@mit.edu

, Dimitris Bertsimas,

Alexander M Weinstein

Pharmaceutical companies spend tens of billions of dollars each year to operate

clinical trials needed for the approval of new drugs. We present an online

allocation algorithm for clinical trials that leverages robust mixed-integer

optimization. In simulated experiments involving both single and multiple

controlled covariates, our method reduces the number of subjects needed to

achieve a desired level of statistical power by at least 35% relative to state-of-the-

art allocation algorithms. Correspondingly, we expect that our computationally

tractable approach could significantly reduce both the duration and operating

costs of a clinical trial.

TD77

Legends E- Omni

Opt, Integer Programing IV

Contributed Session

Chair: Joseph B Mazzola, Cleveland State University,

1860 East 18th Street, BU 530, Cleveland, OH, 44115, United States,

j.b.mazzola@csuohio.edu

2 - Using Odheuristics To Solve Hard Mixed Integer

Programming Problems

Alkis Vazacopoulos, Optimization Direct, Inc.,

202 Parkway, Harrington Park, NJ, 07640, United States,

alkis@optimizationdirect.com

, Robert Ashford

It is not practical to prove optimality for most large scale MIP models. Indeed,

many are so computationally onerous that it is not possible to raise the best

bound at all beyond the root solve. ODHeuristics is a general purpose program

built on CPLEX for obtaining good feasible solutions to such MIPs. It is designed

for scheduling problems but works for any MIP which has a reasonable number

of integer feasible solutions. It has been deployed effectively on packing problems,

supply chain and telecoms as well as scheduling applications. This talk looks at

what ODHeuristics does and how - in general terms - it goes about it with

reference to some simple examples.

3 - Objective Scaling Ensemble Approach For Integer

Linear Programming

Weili Zhang, University of Oklahoma, 202 W. Boyd St., Room 116,

Norman, OK, 73019, United States,

weili.zhang-1@ou.edu

,

Charles D. Nicholson

The objective scaling ensemble approach is a novel, approximate solution

procedure for integer linear programming problems\deleted[id=WZ]{in general}

\added[id=WZ]{shown to be effective on a wide variety of ILP problems}. The

technique identifies and aggregates multiple partial solutions to modify the

problem formulation and significantly reduce the search space. An empirical

analysis on widely available difficult problem instances demonstrate the efficacy

of our approach by outperforming the existing advanced solution strategies

implemented in modern optimization software.

4 - Preventive Maintenance And Replacement Scheduling

Farzad Pargar, University of Oulu, Oulu, Finland,

farzad.pargar@oulu.fi,

Jaakko Kujala

In this paper, a pure integer linear programming model is developed to determine

the optimal preventive maintenance and replacement schedules for a series of

multi-component systems. In this model, we have considered a finite and

discretized planning horizon in which three possible actions must be planned for

each component in each system, namely maintenance, replacement, or do

nothing. The objective is to minimize the total cost of projects by grouping

maintenance and replacement operations. Because of the complexity of the

model, several heuristic methods are applied to tackle the problem.

5 - Non Monotone Submodular Knapsacks And Applications

Avinash Bhardwaj, Postdoctoral Fellow, Georgia Institute of

Technology, Room 336, 755 Ferst Drive, NW, Atlanta, GA, 30332,

United States,

abhardwaj@gatech.edu

, Alper Atamturk

We study the facial structure of the convex hull of the level sets of a given

submodular set function. In particular we derive valid inequalities and their

extensions for the general lower level sets of submodular set functions, and

propose the facet defining conditions for the same. We relax the monotonicity

assumptions on the underlying set function and thus offering a generalization to

earlier studies on this subject matter. We derive the appropriate valid inequalities

and their extensions from the aggregation of the linear knapsack inequalities

corresponding to the extended polymatroid of the set function in context.

1 - Generalizations And Applications Of The Multiperiod

Assigment Problem

Joseph B Mazzola, Professor and Endowed Chair, Cleveland State

University, 1860 East 18th Street, BU 530, Cleveland, OH, 44115,

United States,

j.b.mazzola@csuohio.edu

The Multiperiod Assignment Problem (MultiAP) involves the cost-minimizing

assignment of a set of tasks to a set of agents within each period of a finite

planning horizon when, in addition, there are transition costs associated with

changing agent-task assignments from one period to the next. We review the

literature on MultiAP and consider generalizations of the MultiAP including, for

example, a model in which task learning occurs when an agent is able to work

repeatedly on the same task. We also discuss applications of MultiAP.

TD77