On an Economic Lot Sizing Model Subject to Two Imperfect Key Production Subsystems
This paper considers an Economic Production Quantity (EPQ) model where a product is to be manufactured in batches on an imperfect production system over an infinite planning horizon. During a production run of the product, the production system is dictated by two unreliable key production subsystems (KPS) that may shift from an in-control to an out-of-control state. Suppose the production system is subject to three independent sources of shocks. A shock from source 1 causes the first KPS to shift. As a result, a fixed α percentage of defective items will be produced after the KPS has shifted. It occurs at a random time U1 following an exponential distribution with a mean 1/ λ1. A shock from source 2 causes the second KPS to shift. This leads to a fixed β percentage of defective items to be produced after the KPS has shifted into the out-of-control state. It occurs at a random time U2 following an exponential distribution with a mean 1/λ2 ? Finally, a shock from source 3 will result in both KPSs to shift into the out-of-control state. Consequently, a fixed 8 percentage of defective items will be produced. It occurs at a random time U12 following an exponential distribution with a mean 1/λ12- Hence, we can define a random variable X representing the time-to-shift of the first key component satisfies X = min(U1, U12) while another random variable Y representing the time-to-shift of the second key component satisfies Y = min(U2, U12). The objective is to determine a production cycle time that minimizes the expected total cost per unit time including setup, inventory carrying, and defective costs. A solution approach of finding a near-optimal solution is provided.
economic production quantity (EPQ) incontrol imperfect production system out-of control key production subsystems (KPS)
Gary C. Lin Dah-Chuan Gong
Department of Industrial & Manufacturing Engineering & Technology, Bradley University, Peoria, IL 61 Department of Industrial and Systems Engineering, Chung Yuan Christian University, Chung-Li, Taiwan,
国际会议
The Institute Industrial Engineera Asian Conference 2011(2011年国际工业工程师协会亚洲会议)
上海
英文
110-115
2011-06-10（万方平台首次上网日期，不代表论文的发表时间）