This paper presents a mathematical model for an inventory control system in which customers’ demands and suppliers’ service time are considered as stochastic parameters. The proposed problem is solved through queuing theory for a single item. In this case, transitional probabilities are calculated in steady state. Afterward, the model is extended to the case of multi-item inventory systems. The...

This paper surveys recent works on queuing approaches to a number of optimization problems in production systems, especially modem jobbing production systems (or multi-item small lot production systems) represented by flexible manufacturing systems (FMS). This paper outlines optimization problems concerning with such aspects of the system design and control as workioading, job selection, produc...

a comprehensive and integrated study of any supply chain (sc) environment is a vital requirement that can create various advantages for the sc owners. this consideration causes productive managing of the sc through its whole wide components from upstream suppliers to downstream retailers and customers.  on this issue, despite many valuable studies reported in the current literature, considerabl...

Considering the competition in today’s business environment, tactical planning of a supply chain becomes more complex than before. In many multi-product inventory systems, substitution flexibility can improve profits. This paper aims to prepare a comprehensive substitution inventory model, where an inventory system with two substitute products with ignorable lead time has been considered, and e...

in this paper, a multi-product continues review inventory control problem within batch arrival queuing approach (mqr/m/1) is modeled to find the optimal quantities of maximum inventory. the objective function is to minimize summation of ordering, holding and shortage costs under warehouse space, service level, and expected lost-sales shortage cost constraints from retailer and warehouse viewpoi...

Within the competition in today’s business environment, the design of supply chains becomes more complex than before. This paper deals with the retailer’s location problem when customers choose their vendors, and inventory costs have been considered for retailers. In a competitive location problem, price and location of facilities affect demands of customers; consequently, simultaneous optimiza...

A comprehensive and integrated study of any supply chain (SC) environment is a vital requirement that can create various advantages for the SC owners. This consideration causes productive managing of the SC through its whole wide components from upstream suppliers to downstream retailers and customers.  On this issue, despite many valuable studies reported in the current literature, considerabl...

In this paper, we use market segmentation approach in multiproduct inventory production system with deteriorating items. The objective is to make use of optimal control theory to solve the production inventory problem and develop an optimal production policy that maximize the total profit associated with inventory and production rate in segmented market. First, we consider a single production a...