we propose to use a mathematical method based on stochastic comparisons of markov chains in order to derive performance indice bounds‎. ‎the main goal of this paper is to investigate various monotonicity properties of a single server retrial queue with first-come-first-served (fcfs) orbit and general retrial times using the stochastic ordering techniques‎.

The purpose of this research is to propose several optimization methods for the stochastic multi-period disassembly lot-sizing problem. case one type end-of-life product and a two-level system studied. lead times are discrete random variables with known bounded probability distribution. objective optimize expected value total cost, which sum setup overload inventory holding cost backlogging cos...

In literature, most papers examine several stochastic demand processes where order lead times are constant. In reality, manufacturing firms use inventory management software, especially MRP, which ignored lead time uncertainty. It is true that in certain special cases, lead time uncertainty has essentially no effect and can be ignored. Nevertheless more often, lead time fluctuations strongly de...

We study several joint facility location and inventory management problems with stochastic retailer demand. In particular, we consider cases with uncapacitated facilities, capacitated facilities, correlated retailer demand, stochastic lead times, and multicommodities. We show how to formulate these problems as conic quadratic mixed-integer problems. Valid inequalities, including extended polyma...

We examine the effectiveness of the conventional (Q, r) model in managing production-inventory systems with finite capacity, stochastic demand, and stochastic order processing times. We show that, for systems with finite production capacity, order replenishment lead times are highly sensitive to loading and order quantity. Consequently, the choice of optimal order quantity and optimal reorder p...

Exploration of Opportunities to Reduce Lead Times for Engineered-To-Order Products by Jan Alarik Elfving Doctor of Philosophy in Engineering-Civil and Environmental Engineering University of California, Berkeley Professor Iris D. Tommelein, Chair Scholars and practitioners have long advocated the benefits of reduced lead times. Moreover, most, if not all members of a supply chain would gain fro...