Optimal Policies for Inventory Systems with Piecewise-Linear Concave Ordering Costs

2020 ◽  
Author(s):  
Alain Bensoussan ◽  
Md Abu Helal ◽  
Viswanath Ramakrishna ◽  
Suresh Sethi
Author(s):  
Kunal Tarunkumar Shukla ◽  
Mihir S. Suthar

In this chapter, we study different inventory systems with trapezoidal demand rate, i.e., demand rate is a piecewise linear and continuous function. This chapter presents mathematical formulations of optimal replenishment policies for items with trapezoidal demand rate. Section 1 presents detailed literature survey for inventory systems with ramp type and trapezoidal type demand. In Section 2, Formulation technique for inventory system of items, which follows trapezoidal type demand rate. Section 3 presents effect of deterioration in model discussed in Section 2. Optimal strategy for deteriorating items with expiration dates under trapezoidal type demand and partial backlogging is discussed in Section 4. In Section 5, sensitivity analysis is carried out and chapter is concluded along with future research scope in Section 6.


1971 ◽  
Vol 14 (2) ◽  
pp. 341-351 ◽  
Author(s):  
C. L. HENDRICKS ◽  
A. J. KOIVO ◽  
S. J. CITRON

2018 ◽  
Vol 65 (4) ◽  
pp. 291-302 ◽  
Author(s):  
Saif Benjaafar ◽  
David Chen ◽  
Yimin Yu

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