We study the joint replenishment problem (JRP) for M items under deterministic demand, with a minimum order quantity constraint for each item in the replenishment order. We first study an iterative procedure that proves to be not efficient in this case. Further, we derive bounds on the basic cycle time and propose an efficient global optimisation procedure to solve the JRP with constraints. Mor...

Real life inventory lot sizing problems are frequently challenged with the need to order different types of items within same batch. The Joint Replenishment Problem (JRP) addresses this setting coordinated ordering by minimizing total cost, composed (or setup) costs and holding costs, while satisfying demand. complexity problem increases when some or all item prone obsolescence. In fact, may ex...

In this paper we consider the problem of maximizing a separable concave function over a polymatroid. More specifically, we study the submodularity of its optimal objective value in the parameters of the objective function. This question is interesting in its own right and is encountered in many applications. But our research has been mainly motivated by a cooperative game associated with the we...

The objective of the classical Joint Replenishment Problem (JRP) is to minimize ordering costs by combining orders in two stages, first at some retailers, and then at a warehouse. These orders are needed to satisfy demands that appear over time at the retailers. We investigate the natural special case that each demand has a deadline until when it needs to be satisfied. For this case, we present...

This study models a joint pricing, inventory, and preservation decision-making problem for deteriorating items subject to stochastic demand and promotional effort. The generalized price-dependent stochastic demand, time proportional deterioration, and partial backlogging rates are used to model the inventory system. The objective is to find the optimal pricing, replenishment, and preservation t...

We consider inventory systems with several distinct items. Demands occur at constant, item specific rates. The items are interdependent because of jointly incurred fixed procurement costs: The joint cost structure reflects general economies of scale, merely assuming a monotonicity and concavity (submodularity) property. Under a power-of-two policy each item is replenished with constant reorder ...

We consider the jointly replenishing N identical firms that operate under an EOQ like setting using a non-cooperative game. In this game, each firm bids how much it is willing to pay per unit of its replenishment and a service provider determines the frequency of the joint orders. We characterize the equilibrium under full and asymmetric information.

This study is an extension of the Joint Replenishment Problem (JRP) that takes into accounts the warehouse-space restrictions in a distribution center. The focus of this study is to determine the lot sizes of each product under power-of-two policy to minimize the total costs per unit time and to generate a feasible replenishment schedule of multiple products without exceeding the available war...