Optimal production run time and inspection errors in an imperfect production system with warranty

Abstract

This paper considers an imperfect production system to obtain the optimal production run time and inspection policy. Contrary to the existing literature this model considerers that product inspection performs at any arbitrary time of the production cycle and after the inspection, all defective products produced until the end of the production run are fully reworked. Due to some misclassification during inspection, from the inspector's side two types of inspection errors as Type I and Type II are considered to make the model more realistic rather than existing models. Defective items, found by the inspector, are salvaged at some cost before being shipped. Non-inspected defective items are passed to customers with free minimal repair warranty. The model gives three special cases, where it is found that this model converges over the exiting literature. Some numerical examples along with graphical representations are provided to illustrate the proposed model with comparison with the existing models. Sensitivity analysis of the optimal solution with respect to key parameters of the model has been carried out and the implications are discussed.

Autonomated Inspection Policy for Smart Factory—An Improved Approach

“…The inspection policy was applied after the production process was completed such that inspection cost can be reduced. Inspection after the production process is not always beneficial, as proved by Sarkar et al [6] and Sett et al [7]. They also confirmed that an optimal buffer always provides an improved result.…”

“…To maintain the brand image and maximize the total system profit, process and product quality inspections are necessary for any imperfect production process (IPP). Many researchers consider that a human inspection process (Sarkar and Saren [5], Sarkar et al [6], Sett et al [7]) tends to cause inspection errors. To perform an error-free inspection, the concept of autonomated inspection (Dey et al [8]) is adopted in this study, which makes the production system smarter than the traditional one.…”

Joint Inventory and Pricing Policy for an Online to Offline Closed-Loop Supply Chain Model with Random Defective Rate and Returnable Transport Items

“…An improved way to calculate imperfect items is given by Kim et al [56], and Sett et al [57] determined optimal buffer inventory in imperfect production system. Sarkar et al [58] studied warranty, optimal run time with inspection errors in the imperfect production system, and Kang et al [59] discussed optimal ordering policies for the imperfect production system. Recently, Khanna et al [60] considered two-level credit policies with imperfect quality, Tayyab et al [61] considered process uncertainty, and Tayyab et al [62] studied the multistage imperfect production system.…”

The Simultaneous Effect of Holding Safety Stock and Purchasing Policies on the Economic Production Quantity Model Subject to Random Machine Breakdown

“…They assumed both batch lot size and distance between two shipments are identical and the buyer pays transportation cost. Sarkar et al [26] Developed an imperfect production system to obtain the optimal production run and inspection policy. They considered two types' inspection errors to make the model more realistic.…”