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20192021
most citedMarkov Chain Decomposition Based On Total Expectation Theorem

5 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.PR2021

Controlling arrival and service rates to reduce sensitivity of queueing systems with customer abandonment

Katsunobu Sasanuma, Robert Hampshire, Alan Scheller-Wolf

The Erlang A model--an M/M/s queue with exponential abandonment--is often used to represent a service system with impatient customers. For this system, the popular square-root staf…

math.OC2021

An opaque selling scheme to reduce shortage and wastage in perishable inventory systems

Katsunobu Sasanuma, Akira Hibiki, Thomas Sexton

Effective management of perishable inventory systems is often strewn with challenges, especially when a strong trade-off relationship exists between shortage and wastage of perisha…

math.OC2020

A Marginal Analysis Framework to Incorporate the Externality Effect of Ordering Perishables

Katsunobu Sasanuma, Mohammad Delasay, Christine Pitocco +2

Finding the optimal policy for multi-period perishable inventory systems requires solving computationally-expensive stochastic dynamic programs (DP). To avoid the difficulty of sol…

math.PR2020

Approximate Performance Measures for a Single Station Two-Stage Reneging Queue

Katsunobu Sasanuma, Alan Scheller-Wolf

We study a single station two-stage reneging queue with Poisson arrivals, exponential services, and two levels of exponential reneging behaviors, extending the popular Erlang A mod…

math.PR2019★ 5 cited

Markov Chain Decomposition Based On Total Expectation Theorem

Katsunobu Sasanuma, Robert Hampshire, Alan Scheller-Wolf

A divide-and-conquer approach to analyzing Markov chains (MCs) is not utilized as widely as it could be, despite its potential benefits. One primary reason for this is the fact tha…