A novel optimal single machine replacement policy using a single as well as a two-stage decision making process is proposed based on the quality of items produced. In a stage of this policy, if the number of defective items in a sample of produced items is more than an upper threshold, the machine is replaced. However, the machine is not replaced if the number of defective items is less than ...

Regulation of carcinogens in the United States has been based on a "no threshold" policy. This makes the assumption there exists no level of exposure for which the possibility of causing harm is truly zero. The alternative "threshold" policy assumes that there exists some level of exposure at which no harm will come to anyone in a population so exposed. The no-threshold policy made sense when a...

We investigate control of a queueing system in which a component of the state space is subject to aging. The controller can choose to forward incoming queries to the system (where it needs time for processing), or respond with a previously generated response (incurring a penalty for not providing a fresh value). Hence, the controller faces a trade-off between data freshness and response times. ...

We consider the control of a random walk on the nonnegative integers. The controller has two actions. It makes decisions based on noisy information on the current state but on full information on previous states and actions. We establish the optimality of a threshold policy, where the threshold depends on the last action, and the noisy information. We apply the result to flow and service contro...

Motivated by a study of the logistics systems used to manage consumable service parts for the U.S. military, we consider a static threshold-based rationing policy that is useful when pooling inventory across two demand classes characterized by different arrival rates and shortage (stockout and delay) costs. The scheme operates as a (Q, r) policy with the following feature. Demands from both cla...

General elections are interpreted as a concrete manifestation of the implementation democracy in Indonesia. However, use Presidential Threshold is matter debate ahead 2024 Election. The issue related to has become hot reported by Indonesian media. media have an essential role shaping public narratives policymaking. part records can create collective awareness providing information about actors'...

In a call center, there is a natural trade-off between minimizing customer wait time and fairly dividing the workload amongst agents of different skill levels. The relevant control is the routing policy; that is, the decision concerning which agent should handle an arriving call when more than one agent is available. We formulate an optimization problem for a call center with heterogeneous agen...

Lin & Kumar [2] introduced a control model with a single queue and two heterogeneous servers. They showed, using policy iteration, that the slower server should only be used if the queue length is above a certain level, i.e., the optimal policy is of threshold type. In this note we give a simple iterative proof of this result. AMS Subject Classification (1991): 90B22, 90C40