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On the Economic Lot Scheduling Problem with Fuzzy Demands
"... Abstract⎯In this paper, we investigate the economic lot scheduling problem (ELSP) with fuzzy demands. We assume that the demand for each product i can be approximated using some triangular membership functions. In this study, we solve the fuzzy ELSP using two basic solution approaches, namely, the I ..."
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Abstract⎯In this paper, we investigate the economic lot scheduling problem (ELSP) with fuzzy demands. We assume that the demand for each product i can be approximated using some triangular membership functions. In this study, we solve the fuzzy ELSP using two basic solution approaches, namely, the Independent Solution (IS) and the Common Cycle (CC) approach. For both approaches, we derive the optimal fuzzy replenishment cycles and secure closedform formula for their crisp figures in fuzzy sense, respectively. Also, we derive the conditions that assert the CC approach to secure the optimal solution for the fuzzy ELSP in many realistic situations. For the cases that deviate from those optimalsituations, we give an upper bound for the maximum error of the solution of the CC approach from optimality. A 10product example demonstrates how to secure the solutions for the IS and the CC approach for the fuzzy ELSP, and illustrates the error bound of the CC approach.
Scheduling economic lot sizes in deteriorating production systems
 Naval Research Logistics
, 2003
"... Abstract: The paper considers the economic lot scheduling problem (ELSP) where production facility is assumed to deteriorate, owing to aging, with an increasing failure rate. The time to shift from an “incontrol ” state to an “outofcontrol ” state is assumed to be normally distributed. The system ..."
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Abstract: The paper considers the economic lot scheduling problem (ELSP) where production facility is assumed to deteriorate, owing to aging, with an increasing failure rate. The time to shift from an “incontrol ” state to an “outofcontrol ” state is assumed to be normally distributed. The system is scheduled to be inspected at the end of each production lot. If the process is found to be in an “outofcontrol ” state, then corrective maintenance is performed to restore it to an “incontrol ” state before the start of the next production run. Otherwise, preventive maintenance is carried out to enhance system reliability. The ELSP is formulated under the capacity constraint taking into account the quality related cost due to possible production of nonconforming items, process inspection, and maintenance costs. In order to find a feasible production schedule, both the common cycle and timevarying lot sizes approaches are utilized. © 2003 Wiley Periodicals, Inc.
A Hybrid GA for A Supply Chain Production Planning Problem
"... The problem of production and delivery lotsizing and scheduling of set of items in a twoechelon supply chain over a finite planning horizon is addressed in this paper. A single supplier produces several items on a flexible flow line (FFL) production system and delivers them directly to an assembly ..."
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The problem of production and delivery lotsizing and scheduling of set of items in a twoechelon supply chain over a finite planning horizon is addressed in this paper. A single supplier produces several items on a flexible flow line (FFL) production system and delivers them directly to an assembly facility. Based on the wellknown basic period (BP) policy, a new mixed zeroone nonlinear programming model has been developed to minimize average setup, inventoryholding and delivery costs per unit time in the supply chain without any stockout. The problem is very complex and it could not be solved to optimality especially in realsized problems. So, an efficient hybrid genetic algorithm (HGA) using the most applied BP approach (i.e. poweroftwo policy) has been proposed. The solution quality of the proposed algorithm called PTHGA has been evaluated and compared with the common cycle approach in some problem instances. Numerical experiments demonstrate the merit of the PTHGA and indicate that it is a very promising solution method for the problem.
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"... www.palgravejournals.com/jors Economic lot scheduling problem with imperfect production processes and setup times ..."
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www.palgravejournals.com/jors Economic lot scheduling problem with imperfect production processes and setup times