scholarly journals Optimal deteriorating items production inventory models with random machine breakdown and stochastic repair time

2011 ◽  
Vol 35 (7) ◽  
pp. 3495-3508 ◽  
Author(s):  
Gede Agus Widyadana ◽  
Hui Ming Wee
Keyword(s):  
Repair Time ◽  
Deteriorating Items ◽  
Inventory Models ◽  
Machine Breakdown ◽  
Production Inventory

scholarly journals Production-Inventory System for Deteriorating Items with Machine Breakdown, Inspection, and Partial Backordering

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 616 ◽  
Author(s):  
Kung ◽  
Huang ◽  
Wee ◽  
Daryanto
Keyword(s):  
Sensitivity Analysis ◽  
Deteriorating Items ◽  
Defective Items ◽  
Machine Breakdown ◽  
Partial Backordering ◽  
Imperfect Items ◽  
Production Inventory ◽  
Before And After ◽  
Replenishment Policy ◽  
Renewal Reward Theorem

This study considers the effects of a machine breakdown, inspection, and partial backordering for deteriorating items. Most industries try to reduce facility unavailability by implementing a regular inspection and preventive maintenance since there is a possibility that some machines will breakdown during the production process. Moreover, an emergency purchase policy can be provided for quick response to customer’s backorder. The system also produces imperfect items with different rates before and after the inspection. Rework process and post-sales warranty are launched for the defective items. Unlike previous studies, we applied a fixed-point approach and renewal reward theorem to solve the deteriorating production-inventory model while considering machine breakdown, inspection, and partial backordering. A case example and sensitivity analysis are provided. The sensitivity analysis shows the important parameters that should be considered in designing the inspection plan and the replenishment policy when facility unavailability and imperfect items exist.

PRODUCTION-INVENTORY MODELS WITH AN UNRELIABLE FACILITY OPERATING IN A TWO-STATE RANDOM ENVIRONMENT

2002 ◽  
Vol 16 (3) ◽  
pp. 325-338 ◽  
Author(s):  
David Perry ◽  
M.J.M. Posner
Keyword(s):  
Random Environment ◽  
Compound Poisson Process ◽  
Inventory Models ◽  
Level Crossing ◽  
Capacity Limitations ◽  
Model Variant ◽  
Production Inventory ◽  
Level Process ◽  
Equilibrium Content ◽  
Production Inventory System

We consider two model variants of a production-inventory system. The system is characterized by a producing machine which is susceptible to failure following which it must be repaired to make it operative again. The machine's production can also be stopped deliberately because of stocking capacity limitations. During ON periods the input into the buffer is continuous and uniform (until a threshold is reached), whereas during OFF periods the output from the buffer is a compound Poisson process. We are interested in computing the equilibrium content level process under the assumption that full backlogging is allowed. In the first model, variant OFF periods are independent of the demand process, and in the second variant, they are determined and controlled in accordance with a certain level crossing stopping rule.

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