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SA59<br />

■ SA59<br />

59- Phoenix West- Hyatt<br />

Many-server Queues: Approximations and Control<br />

Sponsor: Applied Probability<br />

Sponsored Session<br />

Chair: Itai Gurvich, Northwestern University - Kellogg School of<br />

Management, Evanston, IL, United States of America,<br />

i-gurvich@kellogg.northwestern.edu<br />

1 - Impatience Differentiation in Large-scale Service Systems with<br />

Customer Reentrance<br />

Guodong Pang, Assistant Professor, Pennsylvania State University,<br />

University Park, PA, United States of America, gup3@engr.psu.edu,<br />

Weining Kang<br />

We consider large-scale service systems where customers need to reenter the<br />

system to fulfill their further service requests and the reentry may happen after<br />

some random delay time. We assume that the patience times of new and<br />

reentrant customers may have different distributions. Under mild assumptions on<br />

the general interarrival, service, delay and patience delay times, we investigate the<br />

impact of the impatience differentiation upon the service performance in such<br />

systems.<br />

2 - Staffing and Control for Call Center Outsourcing with Rework<br />

Jiheng Zhang, Hong Kong University of Science and Technology,<br />

Clear Water Bay, Hong Kong, Hong Kong-PRC, j.zhang@ust.hk, Jin<br />

Fang, Eser Kirkizlar<br />

We study a system with both in-house and outsourcer call centers. With certain<br />

probability, customers need to be rerouted to the in-house call center for further<br />

help after receiving service at the outsourcer. The pooling of the two call centers is<br />

allowed. Using a fluid approximation in a heavy traffic regime, we jointly<br />

determine the optimal control rule and the staffing policy that asymptotically<br />

minimize the staffing cost and long run holding cost subject to a service level<br />

constraint.<br />

3 - Non-FCFS Scheduling in Fluid Many-server Queues<br />

Petar Momcilovic, Associate Professor, University of Florida,<br />

303 Weil Hall, P.O. Box 116595, Gainesville, FL, 32611,<br />

United States of America, petar@ise.ufl.edu, Avishai Mandelbaum<br />

We consider non-FCFS scheduling policies in many-server fluid queues. In<br />

particular, we examine time-varying queues under the assumption that the<br />

scheduler knows realizations of customer patience/service times. Implementing a<br />

non-FCFS policy improves the overall system performance in terms of the number<br />

of customers that abandon during overloaded periods.<br />

4 - Scheduling Parallel Servers in the Non-degenerate Slowdown<br />

Diffusion Regime: Asymptotic Optimality<br />

Itai Gurvich, Northwestern University-Kellogg School of<br />

Management, Evanston, IL, United States of America,<br />

i-gurvich@kellogg.northwestern.edu, Rami Atar<br />

We consider the problem of minimizing holding costs in a parallel-server system<br />

operating in a many-server heavy-traffic regime with non-degenerate slowdown<br />

(NDS). The NDS many-server regime is distinct from existing heavy-traffic<br />

regimes. As in the conventional heavy-traffic regime, the asymptotics are captured<br />

by a Brownian control problem, the solution of which exhibits state-space<br />

collapse. We prove an asymptotic lower bound and construct a sequence of<br />

asymptotically optimal policies.<br />

■ SA60<br />

60- Remington- Hyatt<br />

Joint Session RM/Aviation: Robust Airline<br />

Optimization, Alliances and Revenue Sharing<br />

Sponsor: Revenue Management & Pricing & Aviation Applications<br />

Sponsored Session<br />

Chair: Milind Sohoni, Indian School of Business, Gachibowli,<br />

Hyderabad, 500032, India, milind_sohoni@isb.edu<br />

1 - Reducing Flight Delays by Optimizing Block-time Allocation<br />

Mazhar Arikan, University of Kansas, School of Business,<br />

Lawrence, KS, United States of America, mazhar@ku.edu,<br />

Vinayak Deshpande, Milind Sohoni<br />

In this paper, we develop an approach to reallocate block-times across the<br />

network of an airline and analyze the trade-off between total network arrival<br />

delay minutes and network-wide block-time budget based on a stochastic traveltime<br />

model. Using data acquired from a major U.S. airline, we construct an<br />

efficient frontier by optimally allocating block-times while considering target ontime<br />

arrival probability for each flight in the network.<br />

INFORMS Phoenix – 2012<br />

76<br />

2 - Robust Gate Assignment to Reduce Tarmac Waiting Time<br />

Amy Cohn, University of Michigan, Ann Arbor, MI,<br />

United States of America, amycohn@umich.edu, Ryan Chen<br />

We study the problem of assigning flights to gates at an airport, with the goal of<br />

reducing delay associated with an inbound flight waiting on the tarmac because<br />

its gate is still occupied by the preceding outbound flight. This can happen<br />

because the outbound flight is late leaving, the inbound flight is early arriving, or<br />

both. We develop MIP models to assign flights to gates so as to recognize the<br />

inherent stochasticity of the system, and provide empirical analysis based on these<br />

models.<br />

3 - Revenue Sharing in Airline Alliances<br />

Xing Hu, Assistant Professor, University of Oregon, 484 Lillis Hall,<br />

1208 University of Oregon, Eugene, OR, 97401, United States of<br />

America, xingh@uoregon.edu, Rene Caldentey, Gustavo Vulcano<br />

We study codeshare, the practice of independent airlines collaboratively<br />

marketing and operating fights. We propose a two-stage hierarchical approach to<br />

study the revenue sharing rules and decentralized inventory controls from both<br />

cooperative and non-cooperative game approach. Through both analytical and<br />

numerical studies, we find that revenue sharing rule affects the system<br />

significantly. We identify the existence and uniqueness of an admissible and<br />

efficient revenue sharing.<br />

■ SA61<br />

61- Russell- Hyatt<br />

Aviation Support Operations<br />

Sponsor: Aviation Applications<br />

Sponsored Session<br />

Chair: Wenwei Cao, Georgia Institute of Technology, 765 Ferst Dr NW,<br />

Atlanta, GA, United States of America, cww@gatech.edu<br />

1 - Cost Allocation in Fractional Jet Ownership Programs<br />

Wenwei Cao, Georgia Institute of Technology, 765 Ferst Dr NW,<br />

Atlanta, GA, United States of America, cww@gatech.edu, Ozlem<br />

Ergun, Lezhou Zhan, Ellis Johnson<br />

Higher charter and reposition costs have plagued the profitability of the fractional<br />

jet industry since its inception. Incentive programs and pricing adjustments are<br />

introduced to offset these common costs incurred to service the customers. A<br />

central problem in designing these programs is establishing a justifiable cost<br />

allocation scheme. Furthermore, accurate estimates of cost-to-serve are valuable<br />

information to other marketing and operational decisions. In this paper we<br />

develop different mechanisms for the cost allocation problem. The<br />

appropriateness and key trade-offs of the mechanisms are also discussed on the<br />

basis of certain principles of equity and computational performance.<br />

2 - An Integrated Optimal Decision Model for Ground Logistics and<br />

Air Cargo Scheduling<br />

Kwon Gi Mun, PhD Student, Rutgers Business School, #1009B, 1<br />

Washington Park, Newark, NJ, 07102, United States of America,<br />

kwongmun@eden.rutgers.edu<br />

The mathematical model of two-tiered generalized scheduling problem has been<br />

formulated. Thus the optimal assignment solution between airports and facilities<br />

will be computed with the minimum transportation cost at the first stage. And<br />

then the minimum total cost will be calculated with the optimal routing solution<br />

of aircrafts. This research will use a mathematical model with practical constraints<br />

and real data.<br />

■ SA62<br />

62- Borein A - Hyatt<br />

Joint Session Auctions/MSOM: Competitive Sourcing<br />

and Procurement<br />

Cluster: Auctions & Manufacturing & Service Oper Mgmt<br />

Invited Session<br />

Chair: Cuihong Li, University of Connecticut, Storrs, CT, 06269,<br />

United States of America, cli@business.uconn.edu<br />

1 - Incentive Functions for Transportation Procurement Auctions<br />

Diwakar Gupta, University of Minnesota, 111 Church Street S. E.,<br />

Minneapolis, MN, 55455, United States of America,<br />

guptad@me.umn.edu, Justin Azadivar, Yibin Chen<br />

State Transportation Agencies (STAs) use variants of the first-price sealed-bid<br />

auction mechanism to realize low cost, high quality, and fast completion of<br />

highway and bridge construction projects. STAs pay incentives based on the<br />

realized value of an attribute of the work, which may or may not be of value, but<br />

bids do not explicitly include this attribute. We present models to identify costminimizing<br />

incentive functions for agencies, net of any benefits that may accrue<br />

from the attribute.

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