Abstract
This paper addresses an integrated decision on production scheduling and delivery operations, which is one of the most important issues in supply chain scheduling. We study a model in which a set of jobs ordered by only one customer and a set of decentralized manufacturers located at different locations are considered. Specifically, each job must be assigned to one of the decentralized manufacturers to process on its single machine facility. Then, the job is delivered to the customer directly in batch without intermediate inventory. The objective is to find a joint schedule of production and distribution to optimize the customer service level and delivery cost. In our work, we discuss this problem considering two different situations in terms of the customer service level. In the first one, the customer service is measured by the maximum arrival time, while the customer service is measured by the total arrival time in the second one. For each situation, we develop a dynamic programming algorithm to solve, respectively. Moreover, we identify a special case for the latter situation by introducing its corresponding solutions.
Highlights
Chain scheduling has attracted a lot of attention in recent years
Customer service level is measured by a function of the time when the jobs are delivered to the customers, while the delivery cost consists of a fixed charge and a variable cost
(2) For the problem with the service level of the maximum arrival time, we propose a dynamic programming algorithm to solve it optimally, but Chen and Pundoor solved the similar problem by heuristics
Summary
Chain scheduling has attracted a lot of attention in recent years. One of the important issues in this research area is the integration scheduling of production and delivery operations. In the make-to-order applications, manufacturers produce the ordered products and deliver them to the customers directly without holding intermediate inventories Nowadays, it is a quite common background in our social production activities, since it can improve the efficiency of certain production processes. This paper investigates a joint schedule of production and delivery in order to optimize both customer service level and delivery cost. For this problem, we study a special case.
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