Ulaşım kısıtlı iki düzeyli envanter sistemlerinde toplu sipariş problemi

In this study, we examine the stochastic joint replenishment problem in the pres-ence of a transportation capacity. We first study the multi-retailer and single-echelon setting under a quantity based joint replenishment policy. A limitedfleet of capacitated trucks is used for the transportation of the orders from theample supplier in our setting. We model the shipment operations of the trucksas a queueing system, where the customers are the orders and trucks are theservers. Consequently, different transportation limitation scenarios and meth-ods of approach for these scenarios are discussed. We then extend our modelto a two-echelon inventory system, where the warehouse also holds inventory.We characterize the departure process of the warehouse inventory system, whichbecomes the arrival process of the queueing system that models the shipmentoperations between the warehouse and the retailers. This arrival process is thenapproximated to an Erlang Process. Several numerical studies are conducted inorder to assess the sensitivity of the total cost rate to system and cost parametersas well as the performance of the approximation.Keywords: Stochastic Joint Replenishment Problem, Queueing Theory, Trans-portation Limitation, Inventory Theory.iii