Impact of delivery time on optimal production/delivery/maintenance planning (original) (raw)
Related papers
An optimal maintenance planning according to production rate satisfying random demand
2010 Conference on Control and Fault-Tolerant Systems (SysTol), 2010
In this paper, an aggregate production/maintena--nce planning is formulated as a constrained stochastic quadratic problem. An optimal production/maintenance plan is established considering the probabilistic constraint of unsatisfying information for inventory and the evolution of the system degradation. The key of the work is to consider the evolution of the system failure rate according to the production cadence in order to establish an optimal maintenance plan. This study is applied to an industrial problem, which consists of a manufacturing system trying to satisfy a given random demand. We established jointly an economical production and maintenance plan which minimizes the average total holding, production and maintenance. An analytical study and a numerical example are presented in order to prove the developed approach.
Proceedings of the 19th IFAC World Congress, 2014
In this paper, we deal with the problem of maintenance planning and production planning for a multiple-product manufacturing system. The manufacturing system under consideration consists of one machine which is subject to random failures and produces several products in order to satisfy some random demands. At any given time, the machine can only produce one type of product. The purpose of this study is to establish an economical production planning followed by an optimal maintenance strategy, taking into account the influence of production rate on the system degradation. Analytical models are developed in order to minimize sequentially the production/storage costs and the total maintenance cost. Finally, a numerical example is presented to illustrate the usefulness of the proposed approach.
2014
This paper investigates the issue of integrating production planning and preventive maintenance planning in a batch production context. The production planning problem is a multi-product capacitated lot-sizing problem. The production system is a single machine subject to random failures. To reduce the risk induced by failures, the cyclic preventive maintenance strategy is implemented and minimal repair is carried out at failure. It is assumed that both maintenance actions reduces the production capacity of the system. In the present paper, the failure rate of the system is assumed to be operation-dependent, i.e. the type of item to be processed does affect the production system’s failure rate, which in turn impacts both production and maintenance decisions. The objective is to develop a mathematical programming model to derive an integrated production and maintenance plan that minimizes the expected total costs during a finite planning horizon. An exact solution is derived for a sma...
2013
This paper addresses the production and maintenance problem of multiple-product manufacturing system satisfying several random demands corresponding to every product. The goal of this study is to establish an economical production planning followed by an optimal maintenance strategy, taking into account the influence of the multiple-product production rate on the materiel degradation. Analytical models are developed in order to minimize sequentially the production/holding costs and the total maintenance cost. A numerical example is presented to prove the developed approach.
An integrated mathematical model for production scheduling and preventive maintenance planning
International Journal of Quality & Reliability Management, 2020
PurposeThe integration between production scheduling and maintenance planning is attracting the attention of planners in the manufacturing sector with the increase in global competitiveness. Researchers have developed various methodologies to optimize integrated decisions in planning and scheduling, including mathematical modeling under different conditions. This paper considers the simultaneous scheduling of production and maintenance activities with the objective of minimizing the expected total tardiness cost on a single machine (production line).Design/methodology/approachScheduling in these two types of activities, production and maintenance, are traditionally done independently, causing conflicts between the two functional areas. To eliminate or at least reduce conflicts, the scheduling of both activities can be done simultaneously with the objective of meeting due dates and maintaining maximum machine availability. In this paper, a mathematical model for an integrated problem...
IFAC-PapersOnLine
The production system is unreliable, therefore, prone to random failures directly affecting the products quality. The machine status is affected by the production variation and its use over time. In this work a new maintenance strategy with corrective, imperfect and perfect maintenance is employed when the process is respectively in control, surveillance, and critical stages. We increase the reliability of the process and subsequent reduction in the production of the non-conformal items. Several retail houses are to satisfy random customer demands during the finite production horizon with service, quality and production bounds constraints. The work established a collaborative production planning with inventory management considering the production, holding, delivery, delay, and quality costs. Conclusively, the total maintenance costs (corrective, imperfect, and perfect) are minimized, according to the optimal production plans and control chart parameters as decision variables.
We investigate the simultaneous production planning and quality control problem for an unreliable single machine manufacturing system responding to a single product type demand. The machine is subject to deteriorations, and their effect is observed mainly on the rate of defectives, which increases continuously over time. Due to the uncertainty caused by failures, the machine may not meet long-term demand, and an overhaul can be conducted in order to counter the effect of the deterioration. The main objective of this study is to simultaneously determine the optimal production plan and overhaul schedule for the analyzed manufacturing system, in order to minimize the total cost, comprising the inventory, backlog, repair and overhaul cost, over an infinite planning horizon. A stochastic dynamic programming model is proposed, in which a numerical scheme is adopted to solve the optimality condition equations. It is observed that the optimal control policy is described by a machine deterioration-dependent hedging point policy (MDDHPP). To accurately approximate the related control parameters, a simulation optimization approach based on design of experiments, simulation modeling and response surface methodology is applied. The results obtained provide a better understanding about the influence of the deterioration of quality in the production and overhaul policies. A numerical example and an extensive sensitivity analysis are conducted, and show the robust behavior and usefulness of the policy obtained.
Journal of Computational and Applied Mathematics, 2010
In this paper, a multi-product-single-machine production system under economic production quantity (EPQ) model is studied in which the existence of only one machine causes a limited production capacity for the common cycle length of all products, the production defective-rates are random variables, shortages are allowed and take a combination of backorder and lost sale, and there is a service rate constraint for the company. The aim of this research is to determine the optimal production quantity, the allowable shortage level, and the period length of each product such that the expected total cost, including holding, shortage, production, setup and defective items costs, is minimized. The mathematical model of the problem is derived for which the objective function is proved to be convex. Then, a derivative approach is utilized to obtain the optimal solution. At the end, two numerical examples in each of which a sensitivity analysis is performed on the model parameters, are provided to illustrate the practical usage of the proposed methodology.
International Journal of Production Economics, 2008
times are random. A periodic "lot for lot" policy for component supply is studied. The decision variables are component planned lead times. The aim is to minimize the average holding cost for components while keeping a high customer service level for the finished product. When the lead times of the different types of components follow the same distribution probability, and Abstract: A problem of inventory control for assembly systems is considered where the component lead unit holding costs are identical for all components, an efficient algorithm is proposed. For a more general case with arbitrary distribution and holding costs, some properties and a lower bound on the cost function are proved. These results can be useful for the development of efficient exact optimization algorithms as Branch and Bound. This article's models can be employed for MRP parameterization, more precisely for safety lead time or safety stock calculation for each component under component lead time uncertainty.