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This paper studies a class of queueing control problems involving commonly used control mechanisms such as admission control, pricing, and service rate control. Such controls are frequently employed in modeling service systems, telecommunications, and also in production/inventory systems modeled as make-to-stock queues. It is by now well established that in… (More)
Cross-selling attempts, based on estimated purchase probabilities, are not guaranteed to succeed and such failed attempts may annoy customers. There is a general belief that crossselling may backfire if not implemented cautiously, however there is not a good understanding of the nature and impact of this negative reaction or appropriate policies to… (More)
Dynamic admission control strategies are of increasing importance as revenue management tools in service and manufacturing systems. In telecommunications and in particular in telephone service and support applications, such strategies are commonly used in order to increase flexibility in the allocation of resources among different customer types. In this… (More)
We consider a tandem queue with coupled processors and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems.
We consider the problem of dynamic admission control in a multi-class Markovian loss system receiving random batches, where each admitted class-i job demands an exponential service with rate μ, and brings a reward ri. We show that the optimal admission policy is a sequential threshold policy with monotone thresholds.
Calls of two classes arrive at a call center according to two independent Poisson processes. The center has two dedicated stations, one for each class, and one shared station. All three stations consist of parallel servers and no waiting room. Calls of each type demand exponential service times with different service rates and generate different rewards.… (More)
This paper considers the problem of dynamic admission control in a loss queueing system with two classes of jobs. The classes require an exponential amount of service time with different means and bring different revenues, whereas the arrivals occur according to a general distribution. We establish the existence of optimal acceptance thresholds for both job… (More)
We study the effects of different pricing strategies available to a production-inventory system with capacitated supply, which operates in a fluctuating demand environment. The demand depends on the environment and on the offered price. For such systems, three plausible pricing strategies are investigated: Static pricing, where only one price is used at all… (More)
We consider dynamic pricing and replenishment decisions for a production/inventory system modeled by a make-to-stock queue. The potential customer demand is generated by a MarkovModulated (environment-dependent) Poisson process and the actual demand depends on the price offered at the time of the transaction. Using a Markov Decision Process framework, we… (More)