Inventory management is an important thing to be considered in order run the activities of a company smoothly. By considering deterioration factor, partial backlogging policy and different type demand functions, we develop mathematical model for multi-item inventory system. In this paper, three models with constant deterioration, backlogging, various functions are developed. We consider invento...

In this research, we deal with VMI (Vendor Managed Inventory) problem where one supplier is responsible for managing a retailer’s inventory under unstable customer demand situation. To cope with the nonstationary demand situation, we develop a retrospective action-reward learning model, a kind of reinforcement learning techniques, which is faster in learning than conventional action-reward lear...

We establish a duality theory for a broad class of deterministic inventory control problems on continuous spaces that includes the classical joint replenishment problem and inventory routing. Using this theory, we establish the existence of an optimal policy, which has been an open question. We show how a primal-dual pair of infinite dimensional linear programs encode both cyclic and non-cyclic...

This paper presents a multi-product multi-period inventory problem with random replenishment intervals and fuzzy costs under space and shortage level constraints. Since the costs (purchasing, holding and backordering) related to inventory system are often imprecise and the replenishment intervals are random in real life, the proposed model is also fuzzy-random Here, the replenishment intervals ...

Retailers usually apply repetitive weekly delivery patterns when scheduling the workforce for shelf replenishment, defining cyclic transportation routes and managing warehouse capacities. In doing so, all logistics subsystems are jointly scheduled. Grocery products require different temperature zones. As long as transport was in separated vehicles due to requirements, it not possible coordinate...

We consider the stochastic joint replenishment problem in which several items must be ordered in the face of stochastic demand. Previous authors proposed multiple heuristic policies for this economically-important problem. We show that several such policies are not good approximations to an optimal policy, since as some items grow more expensive than others, the cost rate of the heuristic polic...

We propose a robust optimization approach to address a multi-period, inventory control problem under ambiguous demands, that is, only limited information of the demand distributions such as mean, support and some measures of deviations. Our framework extends to correlated demands and is developed around a factor-based model, which has the ability to incorporate business factors as well as time ...