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June 2016
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Sachin Jayaswal is faculty in the Production and Quantitative Methods area. His areas of research interest include Operations - Marketing Interface, Product Differentiation/Price Discrimination, Revenue Management, Competition in Service Industries, Supply Chain Management, Stochastic Optimization, and Large-Scale Optimization. sachin@iima.ac.in
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Bandwidth Packing Problem with Queuing Delays: Modeling and Exact Solution ApproachIn Journal of Global Optimization, January 16, 2016, 1-32 Sachin Jayaswal, Navneet Vidyarthi and Vikranth Babu Tirumala Chetty We
present a more generalized model for the bandwidth packing problem with queuing
delays under congestion than available in the extant literature. The problem,
under Poison call arrivals and general service times, is set up as a network of
spatially distributed independent M/G/1 queues. We further present two exact
solution approaches to solve the resulting nonlinear integer programming model.
The first method, called finite linearization method, is a conventional Big-M
based linearization, resulting in a finite number of constraints, and hence can
be solved using an off-the-shelve MIP solver. The second method, called
constraint generation method, is based on approximating the non-linear delay
terms using supporting hyperplanes, which are generated as needed. Based on our
computational study, the constraint generation method outperforms the finite
linearization method. Further comparisons of results of our proposed constraint
generation method with the Lagrangean relaxation based solution method reported
in the literature for the special case of exponential service times clearly
demonstrate that our approach outperforms the latter, both in terms of the
quality of solution and computation times.
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Abstracts of other articles published in refereed journals included in this issue
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Debjit Roy, Fabiana Tornese, Andres L. Carrano, Brian K. Thorn and Jennifer A. Pazour
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Ernesto Noronha, Premilla D’Cruz and Sarosh Kuruvilla
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Neharika Vohra and Rahul Chandra Sheel
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Poornima Varma and Akash Issar
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Jamus Jerome Lim and Sanket Mohapatra
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Rajesh Chandwani and Rahul Dey
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Viswanath Pingali, Federico Boffa and Francesca Sala
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Navdeep Mathur, Sejal Patel and Richard Sliuzas
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Ankur Sarin and Saravana Jaikumar
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Viswanath Pingali and Ratul Lahkar
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Amit Karna, Christian Landau and Miriam Sailer
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Manish Aggarwal and Madasu Hanmandlu
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