Alternative approach to determine the common cycle time for a multi-item production system with discontinuous deliveries and failure in rework

On Mathematical Modeling of a Multi-Product Emq Model With an Enhanced End Items Issuing Policy and Failures in Rework

“…With the purpose of easing the comparison efforts for readers, this section uses the same example as in Chiu et al (2013) to demonstrate the proposed research result. Reconsider a production plan of producing five different items on a single machine in sequence under a common cycle time policy.…”

“…A failure-in-rework rate φ i exists during the reworking process, the production rate of scrap items during rework d 2i = φ i P 2i , and those that fail in repair are discarded at a unit disposal cost C Si . A specific n + 1 multi-shipment policy is proposed in an attempt to reduce the vendor's stock holding cost as compared to n multi-delivery policy used in Chiu et al (2013). Under the proposed n + 1 delivery policy, the purpose of the first shipment of finished goods is to meet buyers' product demands during vendor's uptime and reworking time.…”

“…Figure 2 depicts producer's on-hand inventory level of perfect quality items of product i in the proposed n + 1 delivery model (in blue lines) and the expected reduction in vendor's stock holding costs (yellow shaded area) in comparison with that of Chiu et al (2013). Cost related variables used in our analysis comprise the setup cost K i per cycle, unit holding cost h i , unit holding cost h 1i during rework, the fixed shipping cost K 1i for product i per delivery, and unit shipping cost C Ti for each product i.…”

“…The objectives of their study are to determine the optimal production and shipment schedule, and the most economic order size for buyers so that average total cost per unit time can be minimized. In a recent study, Chiu et al (2013) determined optimal common production cycle time for a multiitem production system with discontinuous n fixed quantity multiple delivery policy and rework failures. Mathematical modeling and optimization techniques are employed in their study to solve the problem.…”

Optimization of a multi-product EPQ model with scrap and an improved multi-delivery policy

“…Effect of scrap rate on the optimal common cycle time was investigated and discussed through a numerical example. Studies related to different aspects of the multi-item production planning and optimization issues can also be found in Jodlbauer & Reitner (2012); Chiu et al (2013d).…”