This project studies optimal inventory control problems whose states are not directly observed. What is observed instead are surrogate measures called signals, which are used to characterize the probability distribution of the state variables. Our project draws upon useful concepts developed for nonlinear filtering and stochastic control to group the problems into two classes. In the first clas...

This paper analyses a discrete-time (s, S) queueing inventory model with service time and back-order in inventory. The arrival of customers is assumed to be the Bernoulli process. Service follows geometric distribution. As soon as level reaches pre-assigned due demands, an order for replenishment placed. Replenishment also When reduces zero or non-replenishment items, maximum k are allowed syst...

A stochastic inventory routing problem (SIRP) is typically the combination of stochastic inventory control problems and NP-hard vehicle routing problems, which determines delivery volumes to the customers that the depot serves in each period, and vehicle routes to deliver the volumes. This paper aims to solve a large scale multi-period SIRP with split delivery (SIRPSD) where a customer’s delive...

The use of actuarial risk/need assessment tools is an increasingly important part of the correctional landscape. Actuarial tools ideally will provide a valid, dynamic assessment of an offender's overall risk/need level, and will identify their most prevalent criminogenic needs. What results is typically a number or score that can be used to assign an offender to a risk level that is associated ...

A supplier stocking goods for delivery to a retailer may face a finite-horizon service-level agreement. In this context, the service-level agreement is a commitment by a supplier to achieve a minimum fill rate over a specified time horizon. This kind of service level agreement is an important, but under-studied coordination mechanism. We focus on the impact of two contract parameters, the lengt...

In this paper we consider a 1-warehouse, N-retailer inventory system where demand occurs at all locations. We introduce an inventory model which allows us to set different service levels for retailers and direct customer demand at the warehouse. For each retailer a critical level is defined, such that a retailer replenishment order is delivered from warehouse stock if and only if the stock leve...

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