Machine maintenance with workload considerations
David L. Kaufman,Mark E. Lewis +1 more
TL;DR: It is shown in general that the optimal maintenance policies have switching curve structure that is monotone in the server state, however, the switching curve policies for the repair model are not always monotones in the number of customers in the queue.
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Abstract: Machine maintenance is modeled in the setting of a single-server queue. Machine deterioration corresponds to slower service rates and failure. This leads to higher congestion and an increase in customer holding costs. The decision-maker decides when to perform maintenance, which may be done pre-emptively; before catastrophic failures. Similar to classic maintenance control models, the information available to the decision-maker includes the state of the server. Unlike classic models, the information also includes the number of customers in queue. Considered are both a repair model and a replacement model. In the repair model, with random replacement times, fixed costs are assumed to be constant in the server state. In the replacement model, both constant and variable fixed costs are considered. It is shown in general that the optimal maintenance policies have switching curve structure that is monotone in the server state. However, the switching curve policies for the repair model are not always monotone in the number of customers in the queue. Numerical examples and two heuristics are also presented. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007
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Citations
Integrated maintenance planning and production scheduling with Markovian deteriorating machine conditions
TL;DR: In this article, the authors address the problem of integrated maintenance and production scheduling in a deteriorating multi-machine production system over multiple periods and propose a Markov decision process model to determine the maintenance plan and develop sufficient conditions guaranteeing its monotonicity in both machine condition and demand.
77
Joint Production and Spare Part Inventory Control Strategy Driven by Condition Based Maintenance
Mitchell Rausch,Haitao Liao +1 more
TL;DR: This paper addresses a joint production and spare part inventory control strategy driven by condition based maintenance(CBM) for a piece of manufacturing equipment that is continuously monitored for performance degradation during operation.
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Dynamic service rate control for a single-server queue with Markov-modulated arrivals
TL;DR: In this paper, the authors consider the problem of service rate control of a single-server queueing system with a finite-state Markov-modulated Poisson arrival process and show that the optimal service rate is not necessarily monotone in the current arrival rate.
Reassessing Tradeoffs Inherent to Simultaneous Maintenance and Production Planning
Sakine Batun,Lisa M. Maillart +1 more
TL;DR: A revised FCFS model is presented and the results suggest that previous work overestimates the degree to which a FCFS approach is suboptimal, and underestimates the value of simultaneously optimizing the maintenance and production decisions.
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Integrating Maintenance Planning and Production Scheduling: Making Operational Decisions with a Strategic Perspective
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- 16 Jul 2014
TL;DR: Bajestani et al. as mentioned in this paper studied the problem of integrated maintenance and production planning where machines are preventively maintained in the context of a periodic review production system with uncertain yield and showed that the approach that uses logic-based Benders decomposition to solve the static sub-problems, schedules over longer horizon, and quickly adjusts the schedule increases the utilization of aircraft in the long term.
19
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