A 𝐒𝐓𝐔𝐃𝐘 𝐎𝐅 𝐃𝐄𝐓𝐄𝐑𝐈𝐎𝐑𝐀𝐓𝐈𝐍𝐆 𝐏𝐑𝐎𝐃𝐔𝐂𝐓𝐈𝐎𝐍 𝐒𝐘𝐒𝐓𝐄𝐌 W𝐈𝐓𝐇 𝐒𝐇𝐎𝐑𝐓𝐀𝐆𝐄S

Abstract

In this work, we study the deteriorating production process with allowable shortages. We also study deteriorating production process without shortages. We see the effect of quantity discount scheme and deal with the deteriorating process system when the products are sold with a free minimal repair warranty, employing the fraction of nonconforming items in a lot size. This paper will find the unique optimal lot size and backordering quantity that minimize the expected total relevant cost, regardless of whether the probability that the system will shift from the controlled to the uncontrolled state is low.