Exact formulation of stochastic EMQ model for an unreliable production system

Giri, Bibhas C.; Dohi, Tadashi

doi:10.1057/palgrave.jors.2601840

Cited by 44 publications

(19 citation statements)

References 33 publications

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“…However, in real-life situations, stochastic machine breakdowns and random defective rates are two common and inevitable reliability factors that trouble the production planners and practitioners most. Groenevelt et al [17] and others [18][19][20][21][22][23] have studied manufacturing systems with machine breakdowns; Rosenblatt and Lee [6] and others [7][8][9][10][11][12][13][14][15][16] have examined imperfect quality systems with defects and/or with the reworking of defective items, respectively; as stated in Section 1. However, since little attention was paid to the area of investigating the joint effects of stochastic machine breakdowns and the reworking of defective items on the optimal production run time of EMQ model, this paper intends to serve the purpose.…”

Section: Discussionmentioning

confidence: 99%

An optimization problem of manufacturing systems with stochastic machine breakdown and rework process

Chiu¹

2007

Appl Stoch Models Bus & Ind

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SUMMARYThis paper is concerned with optimization of production run time that takes stochastic breakdown and the reworking of defective items into consideration. In a real-life manufacturing process, production of imperfect quality items as well as random breakdowns of production equipment is inevitable. All defective items produced are assumed to be repairable through a rework process right after the regular production stops in each cycle. This research starts with derivations of the cost functions for production systems with breakdown (no-resumption policy is considered) and without breakdown taking place, respectively. Then cost functions of both cases are integrated. Theorems on conditional convexity of the overall cost function and bounds for optimal production run time are proposed and proved. This study concludes that although the optimal run time cannot be expressed in a closed form, it falls within the range of bounds. Hence, it can be pinpointed by the use of the bisection method based on the intermediate value theorem. A numerical example is provided to demonstrate its practical usages.

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Section: Discussionmentioning

confidence: 99%

An optimization problem of manufacturing systems with stochastic machine breakdown and rework process

Chiu¹

2007

Appl Stoch Models Bus & Ind

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“…To effectively manage and control the disruption and minimize overall production costs, become the primary task of most manufacturing firms. It is no wonder that determining optimal lot-size (or production uptime) for systems with machine failures has received attention from researchers in recent decades (see, for instance [27][28][29][30][31][32][33][34][35][36][37][38]). …”

Section: Introductionmentioning

confidence: 99%

Optimal Lot Sizing with Scrap and Random Breakdown Occurring in Backorder Replenishing Period

Ting¹,

Chiu²,

Chan³

2011

MCA

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Abstract-This paper is concerned with determination of optimal lot size for an economic production quantity model with scrap and random breakdown occurring in backorder replenishing period. In most real-life manufacturing systems, generation of defective items and random breakdown of production equipment are inevitable. To deal with the stochastic machine failures, production planners practically calculate the mean time between failures (MTBF) and establish the robust plan accordingly, in terms of optimal lot size that minimizes total production-inventory costs for such an unreliable system. Random scrap rate is considered in this study, and breakdown is assumed to occur in the backorder filling period. Mathematical modeling and analysis is used and the renewal reward theorem is employed to cope with the variable cycle length. An optimal manufacturing lot size that minimizes the long-run average costs for such an imperfect system is derived. Numerical example is provided to demonstrate its practical usages.

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“…In their articles, both policies assume the repair time is negligible and they studied the effects of machine breakdowns and corrective maintenance on economic lot size decisions. Studies have since been carried out to address the issue of production system with machine breakdowns (see for instance [20][21][22][23][24][25][26][27][28][29][30][31][32]). Examples of papers that studied the effect of breakdowns on production systems are surveyed below.…”

Section: Introductionmentioning

confidence: 99%

“…They built a model in an attempt to provide managers with guidelines to choose the appropriate production runtimes to cope with both the defective items and stoppages occurring due to machine breakdowns. Giri and Dohi [31] presented the exact formulation of stochastic EMQ model for an unreliable production system. Their EMQ model is formulated based on the net present value (NPV) approach and by taking limitation on the discount rate the traditional long-run average cost model is obtained.…”

Section: Introductionmentioning

confidence: 99%

Robust planning in optimization for production system subject to random machine breakdown and failure in rework

Chiu¹

2010

Computers & Operations Research

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Exact formulation of stochastic EMQ model for an unreliable production system

Cited by 44 publications

References 33 publications

An optimization problem of manufacturing systems with stochastic machine breakdown and rework process

An optimization problem of manufacturing systems with stochastic machine breakdown and rework process

Optimal Lot Sizing with Scrap and Random Breakdown Occurring in Backorder Replenishing Period

Robust planning in optimization for production system subject to random machine breakdown and failure in rework

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