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 long-standing open question regarding the computational complexity of one of the core problems in supply chains management, the periodic joint replenishment problem. This problem has received a lot of attention over the years and many heuristic and approximation algorithms were suggested. However, in spite of the vast effort, the complexity of the problem remained unr...

In most multi-item inventory systems, the ordering costs consist of a major cost and a minor cost for each item included. Applying for every individual item a cyclic inventory policy, where the cycle length is a multiple of some basic cycle time, reduces the major ordering costs. An e cient algorithm to determine the optimal policy of this type is discussed in this paper. It is shown that this ...

During the last two decades, many heuristic procedures for the joint replenishment problem have appeared in the literature. The only available optimal solution procedure was based on an enumera-tive approach and was computationally prohibitive. In this paper we present an alternative optimal approach based on global optimisation theory. By applying Lipschitz optimisation one can nd a solution w...

To solve joint replenishment problems (JRPs) effectively and efficiently which are typical NP-hard problems, an improved self-adaptive harmony search algorithm (ISHS) is designed. The proposed algorithm applies differential evolution mutation strategies to HS. Experimental results show that ISHS outperforms other start-of-art algorithms on both tested benchmark functions and typical JRPs.

This paper considers the joint supplier selection, replenishment and manufacturing control problem in a dynamic stochastic context. This problem is characterized by conflicting interests between suppliers, the manufacturer, and clients, which raise the need for coordination and information sharing. This paper contributes to the discourse mainly by developing and resolving an integrated mathemat...

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...