In this paper we proposed an efficient algorithm to solve the joint replenishment problem to optimality. We perform a computational study to compare the performance of the proposed algorithm with the best one reported in Viswanathan [6]. The study reveals that for large minor set-up costs and moderate major set-up cost, our algorithm outperforms the latter.

In this paper, we study the location routing problem with replenishment facilities (LRPRF), an extension of the location routing problem (LRP) where the vehicles can replenish at some replenishment facilities. Vehicles leave the depot with load on-board, serve customers until out of load, and then either return to a replenishment facility to reload or return to the depot, completing their route...

This paper discusses how a vendor manages multiple products within its multiple non-identical retailers operating under a vendor managed inventory (VMI) contract that allows unequal shipment frequencies to the retailers. The vendor replenishment cycle for each product is taken to be an integer multiple of the retailer replenishment cycle where vendor is penalized for exceeding the upper stock l...

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