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Scenario-based two-stage stochastic programming for a Hybrid Manufacturing-Remanufacturing System with the uncertainty of returns, quality and demand

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Abstract

This paper addresses the optimization of make-to-order hybrid manufacturing - remanufacturing system to make capacity and inventory decisions jointly along with production decisions. The proposed system considers a common production facility and the same assembly/disassembly line to perform manufacturing and remanufacturing operations simultaneously. The current study takes into account an environment where new and remanufactured (reman) products competing to each other that is, the common demand stream for both products but different selling prices. Furthermore, the relative capacity consumed by remanufacturing over the manufacturing is explained in two ways, namely less capacity intensive case and more capacity intensive case. Differently, from previous studies, we consider a scenario with a discounted selling price for reman products, shortage penalty costs, lost sales, disposal and uncertainty in demand, amount and yield of returns. Hence, to handle those uncertainties, a scenario-based stochastic programming model in a two-stage setting is presented. In the first stage, the raw material inventory and production capacity levels are planned and in the second stage, the production, inventory and disposal decisions are determined by balancing overage and underage costs. The results indicate that net values associated with new and reman products can be decisive in choosing either manufacturing or remanufacturing.

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Abbreviations

M:

Number of scenarios

α :

Relative capacity required for remanufacturing over manufacturing

γ:

Relative capacity required for manufacturing over remanufacturing

C Z :

Unit capacity investment cost ($)

C h :

Unit inventory holding cost ($)

C w :

Unit disposal cost ($)

C an :

Unit raw materials purchasing cost per unit ($)

C ar :

Unit returns acquiring cost per unit ($)

C n :

Unit processing cost of new product ($)

C r :

Unit processing cost of reman product ($)

C sp :

Shortage penalty cost for new product per unit ($)

ν n :

Net value associated with the new product ($)

ν r :

Net value associated with reman product ($)

p n :

Unit selling price of new product ($)

p r :

Unit selling price of reman product ($)

p m :

Probability associated with each scenario

d :

Product demand (units)

Q r :

Core returns inventory level (units)

y r :

Yield of core returns

Q n :

Raw material inventory level (units)

Z :

Production capacity level (units)

q n :

Optimal manufacturing quantity (units)

q r :

Optimal remanufacturing quantity (units

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Reddy, K.N., Kumar, A. & Velaga, N.R. Scenario-based two-stage stochastic programming for a Hybrid Manufacturing-Remanufacturing System with the uncertainty of returns, quality and demand. Sādhanā 46, 59 (2021). https://doi.org/10.1007/s12046-021-01579-3

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  • DOI: https://doi.org/10.1007/s12046-021-01579-3

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