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“…where 1 ( 1 ), 2 ( 1 ), and 3 ( 1 ) are obtained from (10), (18), and (26), respectively. In the following, we will provide the results which ensure the existence of a unique 1 , say * 1 , so as to minimize the total average cost for the model system starting with no shortages.…”

confidence: 99%

“…where 1 ( 1 ), 2 ( 1 ), and 3 ( 1 ) are obtained from (10), (18), and (26), respectively. In the following, we will provide the results which ensure the existence of a unique 1 , say * 1 , so as to minimize the total average cost for the model system starting with no shortages.…”

confidence: 99%

“…Tan and Weng [17] considered a discrete-in-time inventory model for deteriorating items with partially backlogged. Ahmed et al [18] proposed a method for 2 Journal of Applied Mathematics finding the economic order quantity for an inventory model with ramp type demand rate, partial backlogging, and general deterioration rate. Lin [19] explored the inventory model with a general demand rate in which both the Weibull-distributed deterioration and partial backlogging are considered.…”

confidence: 99%

“…Sarkar, Ghosh, and Chaudhuri (2012) studied an optimal inventory replenishment policy for a deteriorating item with time-quadratic demand and time-dependent partial backlogging with shortages in all cycles. Ahmed, Al-Khamis, and Benkherouf (2013) considered an inventory model with ramp-type demand rate, partial backlogging and general deterioration rate. Sarkar and Sarkar (2013) developed an improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand.…”

confidence: 99%

“…Cheng et al (2011) developed inventory model for deteriorating items with trapezoidal demand and partial backlogging. Ahamed et al (2013) developed inventory model with ramp-type demand and partial backlogging. Readers are referred to Taleizadeh et al (2013aTaleizadeh et al ( , 2013b and Taleizadeh (2014) for reviews of various inventory models.…”

confidence: 99%