Abstract:In typical production-inventory models of deteriorating items, deterioration of the production process has not been considered. In this paper, a model is proposed in which both the produced items and the production equipment deteriorate. When the production system deteriorates, it shifts to an outof-control state and begins to produce a proportion of defective items, necessitating corrective maintenance action. A model is formulated to integrate several realistic aspects, including item and process deteriorati… Show more
“…Rezg et al (2004) proposed a method for the joint optimisation of preventive maintenance and stock control in a production line made up of N machines. Alfares, Khursheed, and Noman (2005) proposed a model in which both the produced items and the production equipment deteriorate, the authors also considered some realistic aspects, including item and process deterioration, varying demand and production rates, quality, inspection and maintenance. Gharbi and Kenné (2005) discussed the production and preventive maintenance control problem for a multiple-machine manufacturing system.…”
It is widely acknowledged today that the control and maintenance of production inventories of deteriorating items have attracted much attention in inventory analysis because most physical goods deteriorate over time. In 2012, Bukhari and El-Gohary modelled an optimal control model of production-maintenance system with deteriorating items, and derived the optimal scheduled production rate and preventive maintenance rate. In this paper, we propose an alternative emission tax policy design, and extend the model of Bukhari and El-Goharys to an even more general model in which the emission tax and pollution R&D investment are taken into account. Our aim is to apply optimal control theory to solve the production-maintenance problem with deteriorating items, emission tax and pollution R&D investment; and derive the optimal schedule production rate, preventive maintenance rate and pollution R&D investment rate that minimise the total cost. The results are discussed with some illustrative examples for different demand rate and obsolescence rate of process performance in the absence of maintenance, and sensitivity analysis is conducted to study the effect of changing the parameters and coefficients on the objective function value.
“…Rezg et al (2004) proposed a method for the joint optimisation of preventive maintenance and stock control in a production line made up of N machines. Alfares, Khursheed, and Noman (2005) proposed a model in which both the produced items and the production equipment deteriorate, the authors also considered some realistic aspects, including item and process deterioration, varying demand and production rates, quality, inspection and maintenance. Gharbi and Kenné (2005) discussed the production and preventive maintenance control problem for a multiple-machine manufacturing system.…”
It is widely acknowledged today that the control and maintenance of production inventories of deteriorating items have attracted much attention in inventory analysis because most physical goods deteriorate over time. In 2012, Bukhari and El-Gohary modelled an optimal control model of production-maintenance system with deteriorating items, and derived the optimal scheduled production rate and preventive maintenance rate. In this paper, we propose an alternative emission tax policy design, and extend the model of Bukhari and El-Goharys to an even more general model in which the emission tax and pollution R&D investment are taken into account. Our aim is to apply optimal control theory to solve the production-maintenance problem with deteriorating items, emission tax and pollution R&D investment; and derive the optimal schedule production rate, preventive maintenance rate and pollution R&D investment rate that minimise the total cost. The results are discussed with some illustrative examples for different demand rate and obsolescence rate of process performance in the absence of maintenance, and sensitivity analysis is conducted to study the effect of changing the parameters and coefficients on the objective function value.
“…Future research can be carried out to investigate the joint effects of process deterioration, machine breakdown and repairs on the optimal lot size and the optimal number of inspections undertaken during a production cycle. Another interesting extension would be to combine deteriorating items with deteriorating production system/process, see Rahim and Ben-Daya (2001) and Alfares et al (2005) for references.…”
“…Things like vegetables and fuels are two examples of deteriorating items. There is intensive research on deteriorating items such as a deteriorating inventory model with a permissible delay of payment [14], deteriorating inventory items by considering quality, inspection and maintenance, varying demand and production rates [15] and deteriorating items with preventive maintenance and rework [16]. Some researchers developed EOQ models for deteriorating items by considering two important variables which are pricing and replenishment policy simultaneously such as Sarkar et al [17], Chung et al [18], Yang et al [19].…”
Section: This Issue Is Called As An Inventory Routing Problem (Irp)mentioning
In recent decades, there are intensive researches on deteriorating inventory. However, only a few researchers focus on the inventory routing problem for deteriorating item. There are many items such as foods, electronic products that deteriorate with time, and many other products in the market also have perishable characteristic. The items not only decay during the stockpiling period but they also deteriorate throughout transportation time. Since deteriorated rate and time is necessary, in this paper, an inventory routing problem with time windows for deteriorating items is developed. Particle Swarm Optimization (PSO) is used to solve the problem since PSO can solve problems in a reasonable period with near optimal solutions. We use two examples to illustrate the model. In a sensitivity analysis, way parameters that impact costs are demonstrated. Our results show that the deteriorating rate in inventory has bigger effects than deteriorating rate in the vehicle, so this research has a significant contribution and managers can give more effort to reduce deteriorating in inventory than the deteriorating rate in vehicles.
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