scholarly journals Determining the periodicity and planned lead time in serial-production systems with dependent demand and uncertain lead time

2013 ◽  
Vol 1 (2) ◽  
pp. 87-98 ◽  
Author(s):  
Haibatolah Sadeghi ◽  
Ahmad Makui ◽  
Mehdi Heydari
2016 ◽  
Vol 2016 ◽  
pp. 1-14
Author(s):  
Haibatolah Sadeghi ◽  
Ahmad Makui ◽  
Mehdi Heydari

This study considers a multilevel assembly system with several components in each sublevel. It is assumed that actual lead time for all components is probabilistic; and periodic order quantity (POQ) policy for ordering is utilized. If at a certain level a job is not received at the expected time, a delay is incurred at the delivery of production at this level and this may result in backorders of the finished product. It is assumed in this case that a fixed percentage of the shortage is backlogged and other sales are lost. In the real situation, some but not all customers will wait for backlogged components during a period of shortage, such as for fashionable commodities or high-tech products with the short product life cycle. The objective of this study is to find the planned lead time and periodicity for the total components in order to minimize the expected fixed ordering, holding, and partial backlogging costs for the finished product. In this study, it is assumed that a percentage of components at each level are scrap. A general mathematical model is suggested and the method developed can be used for optimization planned lead time and periodicity for such an MRP system under lead time uncertainties.


Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 183
Author(s):  
Messaoud Bounkhel ◽  
Lotfi Tadj ◽  
Yacine Benhadid ◽  
Ramdane Hedjar

We propose a nonsmooth dynamic system integrating production and inventory where the items may deteriorate and the demand is stock-dependent. We aim to derive the optimal production rate. In our first model, backorders are not allowed, while in the second model they are. Using optimal control, necessary optimality conditions are obtained for general forms of the cost, demand, and deterioration rates and closed form solutions are derived for specific forms of these rates. Numerical simulations are presented and sensitivity of the solutions are examined.


2010 ◽  
Vol 450 ◽  
pp. 397-400
Author(s):  
Hsin Rau ◽  
Kuo Hua Cho ◽  
Yi Hsiang Wang

. The study models multi-characteristics inspection for inspection allocation problems with workstations of attribute data in serial production systems. Either 100% or 0% inspection is performed and Type I and Type II errors are considered. In addition, this study considers three possibilities of treatment of detected nonconforming units, namely, repair, rework and scrap. With the above considerations, a profit model is developed for optimally allocating inspections. Moreover, a genetic algorithm is used to solve the problem and it is proved to have much less computation time, compared with an optimization method based on complete enumeration, especially when number of workstations and characteristics becomes more.


1987 ◽  
Vol 19 (3) ◽  
pp. 300-307 ◽  
Author(s):  
Candace Arai Yano

1986 ◽  
Vol 18 (2) ◽  
pp. 130-137 ◽  
Author(s):  
Herbert Moskowitz ◽  
Robert Plante ◽  
Kwei Tang

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