The joint replenishment of inventory problem (JRP) requires independence of minor ordering costs. In this paper we propose an evolutionary algorithm (EA) for a modification of the JRP. The modified JRP allows for interdependence of minor ordering costs. Our proposed EA (EARP) is a nested EA that searches for a solution to minimize the total cost of inventory replenishment. It combines an EA which uses a direct grouping method with an EA that uses an indirect grouping approach (EA ind) by nesting EA ind inside EARP. We test EARP against partial enumeration and show that it provides close to optimal results for some problems. We know of no other algorithm to solve this problem.
Anne L. Olsen